Question. 1

Each of Ankit and Bhanu belong to one of the tribes between truth tellers i.e., those who always speak the truth, and liars i.e., those who always lie. Do both of them belong to the same tribe? I. Ankit: I am a liar, only if Bhanu is truth teller.

II. Bhanu: I am a truth teller, only if Ankit is a liar.

(a) (b) (c) (d)
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Question. 2

What percentage of the questions were attempted by Ramya in the exam?

I. 30% of the questions are attempted by both Ramya and Swathi.

II. The number of questions attempted by Ramya but not by Swathi is (5/8)th of the total number of questions attempted by Ramya

(a) (b) (c) (d)
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Question. 3

Triangle ABC is right angled at B. What is the value of AB + BC?

I. Diameter of the circle inscribed in the triangle ABC is 10 cm.

II. Diameter of the circle circumscribing the triangle ABC is 27 cm

(a) (b) (c) (d)
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Question. 4

DIRECTIONS for questions 1 to 4: The question given below is followed by two statements, I and II. Study the information given in the two statements and assess whether the statements are sufficient to answer the question and choose the appropriate option from among the choices given below:

Two of the three cricketers Pavan, Rajan and Tarun are selected to the national team. Each of these three persons scored a different number of centuries and a different number of runs. Further, among these three, Tarun scored the highest number of centuries. Who among Pavan, Rajan and Tarun is not selected to the national team?

I. the person with the higher number of runs between Tarun and Pavan, is the person who scored the lesser number of centuries between the two persons selected.

II. The person with the least number of runs between Rajan and Tarun, is the person who scored the higher number of centuries between the two persons selected

(a) (b) (c) (d)
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Comprehension. 1

Directions for Questions:

Mark (a) if Q can be answered from A alone but not from B alone.

Mark (b) if Q can be answered from B alone but not from A alone.

Mark (c) if Q can be answered from A alone as well as from B alone.

Mark (d) if Q can be answered from A and B together but not from any of them alone.

Mark (e) if Q cannot be answered even from A and B together.

In a single elimination tournament, any player is eliminated with a single loss. The tournament is played in multiple rounds subjects to the following rules :

(a) If the number of players, say n, in any round is even, then the players are grouped in to n/2 pairs. The players in each pair play a mach against each other and the winner moves on to the next round.

(b) If the number of players, say n, in any round is odd, then one of them is given a bye, that is, he automatically moves on to the next round. The remaining (n – 1) players are grouped into (n – 1)/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round. No player gets more than one bye in the entire tournament.

Thus, if n is even, then n/2 players move on to the next round while if n is odd, then (n + 1)/2 players move on to the next round. The process is continued till the final round, which obviously is played between two players. The winner in the final round is the champion of the tournament.

Question. 1

Q : If the number of players, say n, in the first round was between 65 and 128, then what is the exact value of n?

A : Exactly one player, received a bye in the entire tournament.

B : One player received a bye while moving on to the fourth round from the third round.

(a) (b) (c) (d) (e)
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Question. 2

Q : What is the number of matches played by the champion?

A : The entry list for the tournament consists of 83 players.

B : The champion received one bye.

(a) (b) (c) (d) (e)
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Question. 5

Directions for Questions: Each question is followed by two statements, A and B. Answer each question using the following instructions :

Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?

A: Twenty five per cent of the employees have engineering background.

B: Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.

(a) (b) (c) (d) (e)
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Question. 6

Directions for Questions: Each question is followed by two statements, A and B. Answer each question using the following instructions :

 Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan’s rank was lower than the median. Who among the five got the highest rank? 

A: Atul was the last rank holder.

B: Bala was not among the top two rank holders.

(a) (b) (c) (d) (e)
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Question. 7

Directions for Questions: Each question is followed by two statements, A and B. Answer each question using the following instructions :

In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?

A: Sixty per cent of the top academic performers were not athletes.

B: All the top academic performers were not necessarily athletes.

(a) (b) (c) (d) (e)
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Question. 8

Directions for Questions: Each question is followed by two statements, A and B. Answer each question using the following instructions :

In a football match, at the half–time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match?

A: In the second–half Mahindra and Mahindra Club scored four goals.

B: The opponent scored four goals in the match.

(a) (b) (c) (d) (e)
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Question. 9

Directions for Questions: Each question is followed by two statements A and B. Indicate your responses based on the following directives:

ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the tank capacity adequate to meet ABC’s requirements?

A: The inner diameter of the tank is at least 8 meters.

B: The tank weights 30,000 kg when empty, and is made of a material with density of 3gm/cc

(a) (b) (c) (d)
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Question. 10

Directions for Questions: Each question is followed by two statements A and B. Indicate your responses based on the following directives:

 Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square?

A: The length of OM is twice that of OL.

B: The length of OM is 4 cm.

(a) (b) (c) (d)
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Question. 11

Directions for Questions: Each question is followed by two statements A and B. Indicate your responses based on the following directives:

Consider integers x, y and z. What is the minimum possible value of x² + y²+ z²?

A: x + y + z = 89

B: Among x, y, z two are equal.

(a) (b) (c) (d)
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Question. 12

Directions for Questions: Each question is followed by two statements A and B. Indicate your responses based on the following directives:

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI , of Section I is smaller than the average weight, WII, of Section II. If the heaviest student, say Deepak, of Section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI . What is the weight of Poonam?

A : WII – WI = 1.0

B : Moving Deepak from Section II to I (without any move from I to II) makes the average weights of the two sections equal.

(a) (b) (c) (d)
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Comprehension. 2

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

Question. 1

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.

(a) (b) (c) (d)
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Question. 2

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

(a) (b) (c) (d)
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Question. 3

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.

(a) (b) (c) (d)
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Question. 4

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.

(a) (b) (c) (d)
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Question. 5

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.

(a) (b) (c) (d)
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Question. 6

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.

(a) (b) (c) (d)
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Comprehension. 3

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.

Question. 1

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

(a) (b) (c) (d)
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Question. 2

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

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

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

(a) (b) (c) (d)
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Comprehension. 4

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.

Question. 1

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

(a) (b) (c) (d)
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Question. 2

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

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have.

A. F has two brothers

B. M has five siblings

(a) (b) (c) (d)
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Comprehension. 5

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.

Question. 1

D, E, F are the mid points of the side AB, BC and CA of triangle ABC respectively. What is the area of DEF in square centimeters

I. AD= 1 cm, DF= 1 cm and perimeter of DEF = 3cm

II. Perimeter of ABC = 6 cm, AB = 2 cm, and AC = 2 cm

(a) (b) (c) (d)
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Question. 2

I. -3 ≤ a ≤ 3

II. One of the roots of the equation 4x² - 4x + 1 = 0 is a

(a) (b) (c) (d)
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Question. 3

AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the minor arc AB at E. What is the radius of the circle?

I. AB is not a diameter of the circle

II. The distance between AB and the tangent at E is 5 cm

(a) (b) (c) (d)
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Question. 4

What are the unique values of b and c in the equation 4x² +  bx + c = 0. if one of the roots of the equation is (1/ 2)

I. The second root is 1/2

II. The ratio of c and b is 1

(a) (b) (c) (d)
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Question. 5

Is a44 < b11, given that a = 2 and b is an integer

I. b is even

II. b is greater than 16

(a) (b) (c) (d)
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Comprehension. 6

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.

Question. 1

A sum of Rs. 38,500 was divided among Jagdish, Punit and Girish. Who received the minimum amount?

A : Jagdish received 2/9 of what Punit and Girish together received

B : Punit received 3/11 of what Jagdish and Girish together received

(a) (b) (c) (d)
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Question. 2

People in a club either speak French or Russian or both. Find the number of people in a club who speak only French

A : There are 300 people in the club and the number of people who speak both French and Russian is 196

B : The number of people who speak only Russian is 58

(a) (b) (c) (d)
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Question. 3

Is | x – 2 | < 1?

A : |x| < 1

B : |x – 1| < 2

(a) (b) (c) (d)
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Question. 4

Is 500 the average (arithmetic mean) score on the GMAT?

A : Half of the people who take the GMAT, score above 500 and half of the people score below 500.

B : The highest GMAT score is 800 and the lowest score is 200

(a) (b) (c) (d)
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Question. 5

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

(a) (b) (c) (d)
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Question. 6

Is x = y?

(a) (b) (c) (d)
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Question. 7

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.

(a) (b) (c) (d)
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Question. 8

In a hockey match, the Indian team was behind by 2 goals with 5 minutes remaining. Did they win the match?

A : Deepak Thakur, the Indian striker, scored 3 goals in the last five minutes of the match

B : Korea scored a total of 3 goals in the match

(a) (b) (c) (d)
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Comprehension. 7

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

Question. 1

Two friends, Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy?

A. Ram bought one half the number of apples that Gopal bought

B. The wholesale dealer had a stock of 500 apples

(a) (b) (c) (d)
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Question. 2

A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?

A. The diameter of the circle is 25√2 cm

B. The side of the square is 25 cm

(a) (b) (c) (d)
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Question. 3

What will be the time for downloading software?

A. Transfer rate is 6 Kilobytes per second

B. The size of the software is 4.5 megabytes

(a) (b) (c) (d)
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Question. 4

On a given day a boat ferried 1500 passengers across the river in twelve hours. How many round trips did it make?

A. The boat can carry two hundred passengers at any time

B. It takes 40 minutes each way and 20 minutes of waiting time at each terminal

(a) (b) (c) (d)
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Question. 5

What is the value of X?

A. X and Y are unequal even integers, less than 10, and X/Y is an odd integer

B. X and Y are even integers, each less than 10, and product of X and Y is 12

(a) (b) (c) (d)
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Question. 6

Is Country X’s GDP higher than country Y’s GDP?

A. GDPs of the countries X and Y have grown over the past five years at compounded annual rate of 5% and 6% respectively

B. Five years ago , GDP of country X was higher than that of country Y

(a) (b) (c) (d)
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Question. 7

What are the values of m and n?

A. n is an even integer, m is an odd integer, and m is greater than n

B. Product of m and n is 30

(a) (b) (c) (d)
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Comprehension. 8

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.

Question. 1

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

(a) (b) (c) (d)
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Question. 2

A person leaves for No man Island in North America from Mumbai at 5.00 pm. Local time and flies non stop. At what time he reaches No man Island (local time)?

(a) He flies with an average speed of 150 kmph

(b) The distance between Mumbai and No man Island is 1500 km

(a) (b) (c) (d)
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Question. 3

The equation of two lines are ax + by n= c and dx +ey = f, are lines intersecting?

(a) a, b, c, d, e, f are distinct real no’s

(b) c and f are non zero’s no’s

(a) (b) (c) (d)
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Question. 4

In a group, 100 people drink coffee only, how many drink tea only?

(a) 100 drink both tea and coffee

(b) Number of people having tea or coffee or both is 1500

(a) (b) (c) (d)
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Question. 5

If x and y are positive integer in the function f (x, y), find (0,1).

(a) f (a, b) = f (b, a)

(b) f (a, b) = 0 if b = 0

(a) (b) (c) (d)
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Question. 6

A line cuts 2 concentric circles in points a, e and b, d. Is ac/ ce = 1 ? Point c lies on line are

(I) bc = cd

(II) If a third circle cuts in same points b and d, points c lies on line joining the centres of circle.

(a) (b) (c) (d)
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Question. 7

Is modulus of x always less than 3?

(I) x (x +3) < 0

(II) x (x -3) > 0

(a) (b) (c) (d)
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Question. 8

Today a person purchases some share and the next day he sells them. In both the transactions, he paid a brokerage of 1% per share. What is the profit per rupee invested?

(I) The selling price of a share is 1.05 times cost price

(II) The no of share he sells is 100

(a) (b) (c) (d)
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Question. 9

X, Y, Z are real numbers, is Z smallest?

(I) X is greater than at least one of the Y to Z

(II) Y is greater than at least one of the X or Z

(a) (b) (c) (d)
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Question. 10

In a triangle PQR, in which angle PQR is 90°. What is PQ+RQ?

(I) The diameter of in circle is 10 cm

(II) The diameter of circumcircle is 18 cm

(a) (b) (c) (d)
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Comprehension. 9

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

Question. 1

A, B, C, D, are four students. How many of them have passed?

I. Following statement is true: A & B have passed

II. Following statement is false : at least one of C & D has passed

(a) (b) (c) (d)
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Question. 2

How many sets of positive integers (x,y) satisfy the following equations ax + by = c; dx + ey = f where a, b, c, d, e, f are non- zero

I. a kd, b ke,c kf; k non zero

II. a = b = d = e = 1 and c#f.

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

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.

(a) (b) (c) (d)
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Question. 5

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

(a) (b) (c) (d)
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Question. 6

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

(a) (b) (c) (d)
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Question. 7

What is the value of x

I. Log2 x = √x

II. x ≤ 10

(a) (b) (c) (d)
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Question. 8

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

(a) (b) (c) (d)
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Question. 9

What is the volume of the spherical tank?

I. The tickness of the wall is 1 cm

II. When immersed in water it displaces 20 litres of it

(a) (b) (c) (d)
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Question. 10

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

(a) (b) (c) (d)
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Comprehension. 10

Directions for Questions: These questions are based on the information given below

Read the following directions carefully and answer the questions. You should tick

Question. 1

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

(a) (b) (c) (d)
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Question. 2

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

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

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

(a) (b) (c) (d)
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Question. 5

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

(a) (b) (c) (d)
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Question. 6

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

(a) (b) (c) (d)
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Question. 7

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

(a) (b) (c) (d)
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Question. 8

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

(a) (b) (c) (d)
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Question. 9

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.

(a) (b) (c) (d)
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Question. 10

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

(a) (b) (c) (d)
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Question. 11

Is n odd?

(i) n is divisible by 3, 5, 7 and 9

(ii) 0 < n < 400

(a) (b) (c) (d)
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Question. 12

Find the length of AB? If ∠YBC = ∠CAX = ∠YOX = 90°

(i) Radius of the Arc is given

(ii) OA = 5

(a) (b) (c) (d)
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Comprehension. 11

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.

Question. 1

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

(a) (b) (c) (d)
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Question. 2

What is the cost price of the chair?

I. The chair and the table are sold, respectively, at profits of 15% and 20%

II. If the cost price of the chair is increased by 10% and that of the table is increased by 20%, the profit reduces by Rs. 20

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

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

(a) (b) (c) (d)
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Question. 5

What is the speed of the car?

I. The speed of the car is 10 more than that of a motor-cycle

II. The motor-cycle takes 2 hours more than the car to cover 100 kms

(a) (b) (c) (d)
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Question. 6

Three friends, P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P’s hat?

I. P says that he can see one black hat and one white hat

II. Q says that he can see one white hat and one black hat

(a) (b) (c) (d)
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Question. 7

What are the values of x and y?

I. 3x + 2y = 45

II. 10.5x + 7y = 157.5

(a) (b) (c) (d)
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Question. 8

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

(a) (b) (c) (d)
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Question. 9

Is the number completely divisible by 99?

I. The number is divisible by 9 and 11 simultaneously

II. If the digits of the number are reversed, the number is divisible by 9 and 11

(a) (b) (c) (d)
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Question. 10

What is the value of a³ + b³?

I. a² + b² = 22

II. ab = 3

(a) (b) (c) (d)
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Comprehension. 12

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 ,

Question. 1

How many different triangles can be formed?

(i) There are 16 coplanar, straight lines in all

(ii) No two lines are parallel

(a) (b) (c) (d)
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Question. 2

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

(a) (b) (c) (d)
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Question. 3

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

(a) (b) (c) (d)
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Question. 4

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

(a) (b) (c) (d)
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Question. 5

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)

(a) (b) (c) (d)
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Question. 6

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

(a) (b) (c) (d)
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Question. 7

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

(a) (b) (c) (d)
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Question. 8

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

(a) (b) (c) (d)
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Question. 9

If a, b, c are integers, is (a-b+c)>(a+b-c)?

(i) b is negative

(ii) c is positive

(a) (b) (c) (d)
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Question. 10

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

(a) (b) (c) (d)
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Comprehension. 13

Directions for Questions: These questions are based on the information given below.

Each item has a question followed by two statements, Mark

 

Question. 1

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

(a) (b) (c) (d)
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Question. 2

Is x + y - z + t even?

I. x + y +t is even

II. tz is odd

(a) (b) (c) (d)
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Question. 3

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.

(a) (b) (c) (d)
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Question. 4

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

(a) (b) (c) (d)
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Question. 5

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

(a) (b) (c) (d)
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Question. 6

What is the profit percent?

I. The cost price is 80% of the selling price

II. The profit is Rs 50

(a) (b) (c) (d)
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Question. 7

What is value of x, if x and y are consecutive positive even integers?

I. (x - y)² = 4

II. (x + y)² < 100

(a) (b) (c) (d)
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Question. 8

If x, y and z are real numbers. Is z-x even or odd?

I. xyz is odd

II. xy + yz + zx is even

(a) (b) (c) (d)
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Question. 9

What is the number x if

I. The LCM of x and 18 is 36

II. The HCF of x and 18 is 2

(a) (b) (c) (d)
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Comprehension. 14

Directions for Questions: These questions are based on the information given below.

Each item has a question followed by two statements,

Question. 1

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.

(a) (b) (c) (d)
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Question. 2

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.

(a) (b) (c) (d)
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Question. 3

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.

(a) (b) (c) (d)
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Question. 4

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.

(a) (b) (c) (d)
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Question. 5

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.

(a) (b) (c) (d)
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Question. 6

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

(a) (b) (c) (d)
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Question. 7

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%

(a) (b) (c) (d)
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Question. 8

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.

(a) (b) (c) (d)
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Question. 9

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?

(a) (b) (c) (d)
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Question. 10

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.

(a) (b) (c) (d)
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