CAT DILR Questions | CAT Data Sufficiency questions
This section contains CAT Past year Questions based on DATA SUFFICIENCY — Questions based on Mathematical data and Logical Reasoning. CAT Data Sufficiency | CAT Past Year DILR QuestionsComprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Directions for the Questions: Read the information carefully and answer the given questions accordingly.
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha. Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Direction for the questions: Read the information carefully and answer the questions accordingly.
10 players – P1, P2, … , P10 - competed in an international javelin throw event. The number (after P) of a player reflects his rank at the beginning of the event, with rank 1 going to the topmost player. There were two phases in the event with the first phase consisting of rounds 1, 2, and 3, and the second phase consisting of rounds 4, 5, and 6. A throw is measured in terms of the distance it covers (in meters, up to one decimal point accuracy), only if the throw is a ‘valid’ one. For an invalid throw, the distance is taken as zero. A player’s score at the end of a round is the maximum distance of all his throws up to that round. Players are re-ranked after every round based on their current scores. In case of a tie in scores, the player with a prevailing higher rank retains the higher rank. This ranking determines the order in which the players go for their throws in the next round.
In each of the rounds in the first phase, the players throw in increasing order of their latest rank, i.e. the player ranked 1 at that point throws first, followed by the player ranked 2 at that point and so on. The top six players at the end of the first phase qualify for the second phase. In each of the rounds in the second phase, the players throw in decreasing order of their latest rank i.e. the player ranked 6 at that point throws first, followed by the player ranked 5 at that point and so on. The players ranked 1, 2, and 3 at the end of the sixth round receive gold, silver, and bronze medals respectively.
All the valid throws of the event were of distinct distances (as per stated measurement accuracy). The tables below show distances (in meters) covered by all valid throws in the first and the third round in the event.
The following facts are also known:
i. Among the throws in the second round, only the last two were valid. Both the throws enabled these players to qualify for the second phase, with one of them qualifying with the least score. None of these players won any medal.
ii. If a player throws first in a round AND he was also the last (among the players in the current round) to throw in the previous round, then the player is said to get a double. Two players got a double.
iii. In each round of the second phase, exactly one player improved his score. Each of these improvements was by the same amount.
iv. The gold and bronze medalists improved their scores in the fifth and the sixth rounds respectively. One medal winner improved his score in the fourth round.
v. The difference between the final scores of the gold medalist and the silver medalist, as well as the difference between the final scores of the silver medalist and the bronze medalist was 1.0 m.
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 13
Ravi spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest?
A : 2 kg potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
B : 1 kg potato and 2 kg onion together cost the same as 1 kg onion and 2 kg gourd.
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 14
Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?
A : He stops after 21 coin tosses.
B : He obtains three more tails than heads.
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 15
Nandini paid for an article using currency notes of denomination Re. 1, Rs. 2, Rs. 5, and Rs. 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article?
A : Nandini used a total of 13 currency notes.
B : The price of the article was a multiple of Rs. 10.
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 16
Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award?
A : The candidates with top three scores each vote for the top scorer amongst the other three.
B : The candidate with the lowest score votes for the player with the second higest score.
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 17
In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank?
A : Kumar was among the top 25% of the boys merit list in the class in which 60% were boys.
B : There were three boys among the top five rank holders, and three girls among the top ten rank holders
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using one of the statement alone but not by using the other statement alone.
Choose (b), if the question can be answered by using either of the statement alone.
Choose (c), if the question can be answered by using both statements together but not by either statement alone.
Choose (d), if the question cannot be answered on the basis of the two statements
CAT/2004(DILR)
Question. 18
Zakib spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%. Who spends more on children’s education?
A : Zakib spends more on recreation than Supriyo.
B : Supriyo spends more on healthcare than Zakib.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each question is followed by two statements I and II. Answer each question using the following instructions.
Choose (a) if the question can be answered by one of the statements alone but not by the other.
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered be answered by using either statement alone.
Choose (d) if the question can not be answered even by using both the statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each question is followed by two statements I and II. Answer each question using the following instructions.
Choose (a) if the question can be answered by one of the statements alone but not by the other.
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered be answered by using either statement alone.
Choose (d) if the question can not be answered even by using both the statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each question is followed by two statements I and II. Answer each question using the following instructions.
Choose (a) if the question can be answered by one of the statements alone but not by the other.
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered be answered by using either statement alone.
Choose (d) if the question can not be answered even by using both the statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each question is followed by two statements I and II. Answer each question using the following instructions.
Choose (a) if the question can be answered by one of the statements alone but not by the other.
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered be answered by using either statement alone.
Choose (d) if the question can not be answered even by using both the statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each question is followed by two statements I and II. Answer each question using the following instructions.
Choose (a) if the question can be answered by one of the statements alone but not by the other.
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered be answered by using either statement alone.
Choose (d) if the question can not be answered even by using both the statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question there are two statements A and B
Choose (a) if the question can be answered by one of the statements alone but not by other
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered using either statement alone
Choose (d) if the question cannot be answered even by using both the statements A and B.
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question there are two statements A and B
Choose (a) if the question can be answered by one of the statements alone but not by other
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered using either statement alone
Choose (d) if the question cannot be answered even by using both the statements A and B.
CAT/2003(DILR)
Question. 25
A game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Rs. 1 for each toss of the coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs.100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred as loss of Rs. 50 by playing this game. How many times did he toss the coin?
A. The game ended normally
B. The total number of tails obtained in the game was 138
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question there are two statements A and B
Choose (a) if the question can be answered by one of the statements alone but not by other
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered using either statement alone
Choose (d) if the question cannot be answered even by using both the statements A and B.
CAT/2003(DILR)
Question. 26
Each packet of Soap costs Rs. 10. Inside each packet is a gift coupon labelled with one of the letter S,O, A and P. If a customer submits four such coupons that make up the word Soap the customer gets a free Soap packet. Ms X kept buying packet after packet of Soap till she could get one set of coupons that formed the world Soap. How many coupons with lable P did she get in the above process
A. The last label obtained by her was S and the total amount spent was Rs. 210
B. The total number of vowels obtained was 18
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question there are two statements A and B
Choose (a) if the question can be answered by one of the statements alone but not by other
Choose (b) if the question can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together but cannot be answered using either statement alone
Choose (d) if the question cannot be answered even by using both the statements A and B.
CAT/2003(DILR)
Question. 27
If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed, what is the time taken by C to finish the race
A. A and C run the same race and A wins by 375 meters
B. The length of the race is 1 km
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using statement A alone but not by using B alone.
Choose (b), if the question can be answered by using statement B alone but not by using A alone.
Choose (c), if the question can be answered by using any one of the two statements alone.
Choose (d), if the question can be answered by using both the statements together but not by either statement alone.
CAT/2003(DILR)
Question. 28
In a cricket match, the‘man of the match’ award is given to the player scoring the highest number of runs. In case of a tie, the player (out of those locked in the tie) who has taken the higher number of catches is chosen. Even thereafter if there is a tie, the player (out of those locked in the tie) who has dropped fewer catches is selected. Aakash, Biplab, and Chirag who were contenders for the award dropped at least one catch each. Biplab dropped 2 catches more than Aakash did, scored 50, and took 2 catches. Chirag got two chances to catch and dropped both. Who was the ‘man of the match’?
A. Chirag made 15 runs less than both Aakash and Biplab
B. The catches dropped by Biplab are 1 more than the catches take by Aakash
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using statement A alone but not by using B alone.
Choose (b), if the question can be answered by using statement B alone but not by using A alone.
Choose (c), if the question can be answered by using any one of the two statements alone.
Choose (d), if the question can be answered by using both the statements together but not by either statement alone.
CAT/2003(DILR)
Question. 29
Four friends A, B, C and D got the top four ranks in a competitive examination, but A did not get the first, B did not get the second, C did not get the third, and D did not get the fourth rank. Who secured which rank?
A. Neither A nor D were among the first 2
B. Neither B nor C was third or fourth
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using statement A alone but not by using B alone.
Choose (b), if the question can be answered by using statement B alone but not by using A alone.
Choose (c), if the question can be answered by using any one of the two statements alone.
Choose (d), if the question can be answered by using both the statements together but not by either statement alone.
CAT/2003(DILR)
Question. 30
The members of a local club contribute equally to pay Rs. 600 towards a donation. How much did each one pay?
A. If there had been five fewer members, each one would have paid an additional Rs. 10
B. There were at least 20 members in the club, and each one paid no more than Rs. 30
Comprehension
Directions for Questions: These questions are based on the information given below
Each question is followed by two statements, A and B. Answer each question using the following instructions :
Choose (a), if the question can be answered by using statement A alone but not by using B alone.
Choose (b), if the question can be answered by using statement B alone but not by using A alone.
Choose (c), if the question can be answered by using any one of the two statements alone.
Choose (d), if the question can be answered by using both the statements together but not by either statement alone.
CAT/2003(DILR)
Question. 31
A family has only one kid. The father says “after ‘n’ years my age will be 4 times the age of my kid”. The mother says “after ‘n’ years, my age will be 3 times that of my kid”. What will be the combined ages of the parents after ‘n’ years?
A. The age difference between the parents is 10 years
B. After ‘n’ years the kid is going to be twice as old as she is now
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
CAT/2002(DILR)
Question. 33
Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8?
A : If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers.
B : The number of students in the class is currently not divisible by 8.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
CAT/2002(DILR)
Question. 35
A dress was initially listed at a price that would have given the store a profit of 20 percent of the wholesale cost. What was the wholesale cost of the dress?
A : After reducing the listed price by 10 percent, the dress sold for a net profit of 10 dollars
B : The dress sold for 50 dollars
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a), if the question can be answered by one of the statements alone but not by the other.
Choose (b), if the question can be answered by using either statement alone.
Choose (c), if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d), if the question cannot be answered by either of the statements.
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions : These questions are based on the information given below
Each item is followed by two statements, A and B. Answer each questions using the following instructions.
Choose (a) if the question can be answered by one of the statements alone and not by the other.
Choose (b) if the questions can be answered by using either statement alone.
Choose (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (d) if the question cannot be answered even by using both statements together
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark,
(a) If one of the statement is sufficient to answer the question and another is not.
(b) If both the statements can answer the question independently.
(c) Both statements are required to answer the question.
(d) Question cannot be answered.
CAT/2000(DILR)
Question. 56
Ghosh Babu wanted to cordon off a triangular piece from a corner of his square piece of land of perimeter 400 meters. What was the length of the longest side of the cordoned off area?
(a) The cordoned off area is an isosceles triangle
(b) Each of the smaller sides of the triangle is 20 m
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 57
Mr Mendel grew one hundred flowering plants form black seeds and white seeds, each seed giving rise to one plant. A plant gives flowers of only one colour. From a black seed comes a plant giving red or blue flowers. From a white seed comes a plant giving red or white flowers. How many black seeds were used by Mr. Mendel
I. The number of plants with white flowers was 10
II. The number of plants with red flowers was 70
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 59
3 person were given certain calculations to perform. The calculations were 1 + 1, 1 +1+2, and 1 +2. Their respective answers were 3,3 and 2. How many of them are mathematicians
I. Mathematicians can never add two numbers correctly, but they add three numbers correctly
II. Whenever the mathematicians add two numbers there is a mistake of +1 or -1
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 61
Mr. X starts walking northwards along the boundary of a field from point A on the boundary. After walking for 150 metres, he reaches B and then walks westwards, again along the boundary, for another 100 metres when he reaches C. What is the maximum distance between any pair of points on the boundary of the field ?
I. The field is rectangular in shape.
II. The field is a polygon, with C as one of its vertices and A the mid point of a side
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 62
A circle has radius r and origin as its centre. Two tangents are drawn from an external point D, d distance away from the origin. what are the angles made by the tangents with the positive X-axis.
I. The co-ordinates of the point D are given
II. The X-axis bisects one of the tangents
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 63
A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point for revenue of 1990 is labelled A, that for 1991 as B, and that for 1992 as C. What is the ratio of growth in revenue between 91-92 and 90-91?
I. The angle between AB and X-axis when measured with a protactor is 40 degrees, and the angle between CB and X-axis is 80 degrees
II. The scale of Y-axis is cm = 1000 Rs.
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
CAT/1999(DILR)
Question. 64
What is the number of students in the class if the average weight of the students is 50 kg
I. The heaviest & lightest students in the class weigh 60 & 40 kg respectively
II. If the heaviest & the lightest students are taken away from the group the average weight remains the same
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements, for answering the question
Mark (a) , if the question can be ansered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements
Mark (d), if the question can not be answered even with the help of both the statements together
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 67
Find the length of AB? If ∠YBC = ∠CAX = ∠YOX = 90°
(i) Radius of the Arc is given
(ii) OA = 5
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 69
Find 2 ⊗ 3 , where 2 ⊗ 3 need not be equal to 3 ⊗ 2
I. 1 ⊗ 2 = 3
II. a ⊗ b = (a+b)/a, where a and b are positive
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 70
Radha and Rani appeared in an examination,. What was the toal number of questions?
(i) Radha & Rani together solved 20% of the paper
(ii) Radha alone solved 3/5th of the paper solved by Rani.
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 71
What is the price of tea?
(i) Price of coffee is Rs.5 more than that of tea
(ii) Price of coffee was Rs 5 less than the price of a cold drink which cost three times the price of tea
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 72
What is value of a?
(i) Ratio of a & b is 3:5 where b is positive
(ii) Ratio of 2a and b is 12/10 where a is positive
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 73
In a group of 150 students, find the number of girls?
(i) Each girl was given 50 paise, while each boy was given 25 paisa to purchase goods totalling Rs 49
(ii) Girls and boys were given 30 paisa each to buy goods totaling Rs 45
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 74
There are four envelopes E1 , E2 , E3 , E4 in which one was supposed to put letters L1 , L2 , L3 , L4 meant for persons C1 , C2 , C3 , C4 , respectively but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him?
(i) L2 has been put in E1
(ii) The letter belonging to C3 has gone in the correct envelope
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 75
Find the value of X in terms of a?
(i) Arithmetic mean of X and Y is ‘a’ while the geometric mean is also ‘a’
(ii) X/Y = R;X -Y = D
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 76
There are four racks numbered 1,2,3,4 and four books numbered 1,2,3,4. If an even rack has to contain an odd numbered book and an odd rack contains an even numbered book then what is the position of book 4?
(i) Second book has been put in third rack
(ii) Third book has been put in second rack
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 77
Two concentric circles C1 and C2 with radii r1 and r2 . The circles are such that C1 fully encloses C2 , then what is the radius of C1 ?
(i) The difference of their circumference is k cm
(ii) The difference of their areas is m sq. cm
Comprehension
Directions for Questions: These questions are based on the information given below
Read the following directions carefully and answer the questions. You should tick
CAT/1998(DILR)
Question. 78
A circle circumscribes a square. What is the area of the square?
(i) Radius of the circle is given
(ii) Length of the tangent from a point 5-cm away from the center of the circle is given
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
CAT/1997(DILR)
Question. 81
A person is walking from Mali to Pali, which lies to its North-East. What is the distance between Mali and Pali?
I. When the person has covered 1/3rd the distance, he is 3 km East and 1 km North of Mali
II. When the person has covered 2/3rd the distance, he is 6 km East and 2 km North of Mali
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
CAT/1997(DILR)
Question. 85
What is the ratio of the volume of the given right circular cone to the one obtained from it?
I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1 : 2
II. The height and the base of the new cone are one-third those of the original cone
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
CAT/1997(DILR)
Question. 86
What is the area bounded by the two lines and the co-ordinate axes in the first quadrant?
I. The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5
II. The lines are perpendicular, and one of them intersects the y-axis at an intercept of 4
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
Comprehension
Directions for Questions: These questions are based on the information given below.
Mark (a), if the question can be answered with the help of statement 1 alone,
Mark (b), if the question can be answered with the help of any one statement independently,
Mark (c), if the question can be answered with the help of both statements together,
Mark (d), if the question cannot be answered even with the hlep of both statements together.
CAT/1997(DILR)
Question. 88
After what time will the two persons, Tez and Gati, meet while moving around the circular track? Both of them start from the same point and at the same time
I. Tez moves at a constant speed of 5 m/s, while Gati starts at a speed of 2 m/s and increases his speed by 0.5 m/s at the end of every second thereafter.
II. Gati can complete one entire lap in exactly 10 seconds
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 89
What is the Cost Price of the article?
(i) After selling the article, a loss of 25% on Cost Price is incurred
(ii) The Selling price is three- fourths of the Cost Price
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 90
If a, b, c are integers, is (a-b+c)>(a+b-c)?
(i) b is negative
(ii) c is positive
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 91
What is the Selling Price of the article?
(i) The profit on Sales is 20%
(ii) The profit on each unit is 25% and the Cost Price is Rs. 250
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 92
A tractor travelled a distance of 5m. What is the radius of the rear wheel?
(i) The front wheel rotates “N” times more than the rear wheel over this distance
(ii) The circumference of the rear wheel is “t” times that of the front wheel
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 93
What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume.)
(i) The ratio of liquid A to liquid B in the first and second vessel is, respectively, 3 : 5, 2 : 3
(ii) The ratio of liquid A to liquid B in vessel 3 is 4 : 3
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 94
If α, β are the roots of the equation (ax² + bx + c = 0), then what is the value of (α² + β²)?
(i) α + β = (b / a)
(i) 2αβ = (c/a)
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 95
What is the number of type-2 widgets produced, if the total number of widgets produced is 20, 000?
(i) If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same
(ii) The ratio in which type-1 and type-2 widgets are produced is 2 : 1
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 96
How old is Sachin in 1997?
(i) Sachin is 11 years younger than Anil whose age will be a prime number in 1998
(ii) Anil’s age was a prime number in 1996
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 97
What is the total worth of Lakhiram’s assets?
(i) A Compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs. 1500 this year.
(ii) The interest is compounded once every four months
Comprehension
Directions for Questions: These questions are based on the information given below.
In each question, you are given certain data followed by two statements. For answering the questions ,
CAT/1996(DILR)
Question. 98
How many different triangles can be formed?
(i) There are 16 coplanar, straight lines in all
(ii) No two lines are parallel
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 99
What is the number x if
I. The LCM of x and 18 is 36
II. The HCF of x and 18 is 2
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 100
If x, y and z are real numbers. Is z-x even or odd?
I. xyz is odd
II. xy + yz + zx is even
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 101
What is value of x, if x and y are consecutive positive even integers?
I. (x - y)² = 4
II. (x + y)² < 100
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 102
What is the profit percent?
I. The cost price is 80% of the selling price
II. The profit is Rs 50
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 103
What is the length of the rectangle ABCD?
I. Area of the rectangle is 48 square units
II. Length of the diagonal is 10 units
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 104
What is the price of bananas?
I. With Rs. 84 I can buy 14 bananas and 35 oranges
II. If price of bananas by 50% then we can buy 48 bananas in Rs 12
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 105
What is the first term of an arithmetic progression of positive integers?
I. Sum of the squares of the first and second term is 116
II. The fifth term is divisible by 7.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements, Mark
CAT/1995(DILR)
Question. 107
What is the area of the triangle?
I. Two sides are 41 cm. each
II. The altitude to the third side is 9 cm. long
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 108
Is the distance from the office to home less than the distance from the cinema hall to home?
I. The time taken to travel from home to office is as much as the time taken from home to the cinema hall, both distances being covered without stopping.
II. The road from the cinema hall to home is bad and speed reduces, as compared to that on the road from home to the office.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 109
A and B work at digging a ditch alternately for a day each. If A can dig a ditch in ‘a’ days, and B can dig it in ‘b’ days, will work get done faster if A begins the work?
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 110
If twenty sweets are distributed among some boys and girls such that each girl gets two sweets and each boy gets three sweets, what is the number of boys and girls?
I. The number of girls is not more than five.
II. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 111
If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would profits change?
I. The cost price remains constant
II. The cost price increased by 10%
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 112
What is the average weight of the 3 new team members who are recently included in the team?
I. The average weight of the team increases by 20 kg.
II. The 3 new men substitute 3 earlier members whose weights are 64 kg, 75 kg and 66 kg
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 113
Is segment PQ greater than segment RS?
I. PB > RE, BQ = ES.
II. B is a point on PQ, E is a point on RS.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 114
Three boys had a few Coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all?
I. The number of toffees with each of them is a multiple of 2.
II. The first boy ate up four toffees from what he had and the second boy ate up six toffees from what he had and the third boy gave them two toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 115
Little Beau Peep she lost her sheep, she couldn’t remember how many were there,
She knew she would have 400 more next year, than the number of sheep she had last year.
How many sheep were there?
I. The number of sheep last year was 20% more than the year before that and this simple rate of increase continues to be the same for the next 10 years.
II. The increase is compounded annually.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 116
What will be the total cost of creating a 1-foot border of tiles along the inside edges of a room?
I. The room is 48 feet in length and 50 feet in breadth
II. Every tile costs Rs. 10.
Comprehension
Directions for Questions: These questions are based on the information given below.
Each item has a question followed by two statements,
CAT/1994(DILR)
Question. 117
Ten boys go to a neighbouring orchard. Each boy steals a few mangoes. What is the total number of mangoes they steal?
I. The first boy steals 4 mangoes and the fourth boy steals 16 mangoes and the eighth boy 32 mangoes and the tenth boy steals 40 mangoes.
II. The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes.