Comprehension. 1

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

A survey of 600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).

The following four facilities were studied.
F1:  Own software for OTLP
F2:  Trained teachers for OTLP
F3:  Training materials for OTLP
F4:  All students having Laptops

The following observations were summarized from the survey. 
1. 80 schools did not have any of the four facilities – F1, F2, F3, F4.
2. 40 schools had all four facilities.
3. The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 26 and 20 respectively.
4. The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
5. 313 schools had F2.
6. 26 schools had only F2 and F3 (but neither F1 nor F4).
7. Among the schools having F4, 24 had only F3, and 45 had only F2.
8. 162 schools had both F1 and F2.
9. The number of schools having F1 was the same as the number of schools having F4.

Question. 1

What was the number of schools having only facilities F1 and F4?

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Question. 2

What was the number of schools having only facilities F1 and F3?

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Question. 3

What was the number of schools having facilities F2 and F4?

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

What was the total number of schools having exactly three of the four facilities?

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

A shopping mall has a large basement parking lot with parking slots painted in it along a single row. These slots are quite narrow; a compact car can fit in a single slot but an SUV requires two slots. When a car arrives, the parking attendant guides the car to the first available slot from the beginning of the row into which the car can fit.

For our purpose, cars are numbered according to the order in which they arrive at the lot. For example, the first car to arrive is given a number 1, the second a number 2, and so on. This numbering does not indicate whether a car is a compact or an SUV. The configuration of a parking lot is a sequence of the car numbers in each slot. Each single vacant slot is represented by letter V.

For instance, suppose cars numbered 1 through 5 arrive and park, where cars 1, 3 and 5 are compact cars and 2 and 4 are SUVs. At this point, the parking lot would be described by the sequence 1, 2, 3, 4, 5. If cars 2 and 5 now vacate their slots, the parking lot would now be described as 1, V, V, 3, 4.  If a compact car (numbered 6) arrives subsequently followed by an SUV (numbered 7), the parking lot would be described by the sequence 1, 6, V, 3, 4, 7.

Answer the following questions INDEPENDENTLY of each other.

Question. 1

Suppose that car 4 is not the first car to leave and that the sequence at a time between the arrival of the car 7 and car 8 is V, 7, 3, 6, 5. Then which of the following statements MUST be false?

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

Suppose the sequence at some point of time is 4, 5, 6, V, 3. Which of the following is NOT necessarily true?

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

Suppose eight cars have arrived, of which two have left. Also suppose that car 4 is a compact and car 7 is an SUV. Which of the following is a POSSIBLE current configuration of the parking lot?

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

Initially cars numbered 1, 2, 3, and 4 arrive among which 1 and 4 are SUVs while 2 and 3 are compact cars. Car 1 then leaves, followed by the arrivals of car 5 (a compact car) and car 6 (an SUV). Car 4 then leaves. Then car 7 (an SUV) and car 8 (a compact car) arrive. At this moment, which among the following numbered car is parked next to car 3?

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.

While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:

1. Two adjacent beads along the same row or column are always of different colours.
2. There is at least one Green bead between any two Blue beads along the same row or column.
3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.

Question. 1

What is the minimum number of Blue beads in any conguration?

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Question. 2

What is the maximum possible number of Red beads that can appear in any conguration?

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Question. 3

The total number of possible congurations using beads of only two colours is:

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Question. 4

Two Red beads have been placed in ‘second row, third column’ and ‘third row, second column’. How many more Red beads can be placed so as to maximise the number of Red beads used in the configuration?

 
 

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Comprehension. 4

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines — A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group.

a. A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.

b. 25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.

c. 35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.

d. 100 patients were treated with exactly three types of medicines.

e. 40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type B.

f. 50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.

Question. 1

The number of patients who were treated with medicine type D was:

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Question. 2

How many patients were treated with medicine types B and D only?

 
 

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Question. 3

The number of patients who were treated with medicine types B, C and D, but not type A was:

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Question. 4

How many patients were treated with medicine type B?

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Comprehension. 5

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam. 

The following facts are known about these ten musicians.

1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.

2. D is an expert in both tabla and ghatam.

3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.

4. Neither I nor J is an expert in tabla.

5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

 

 

Question. 1

If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?

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

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

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

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?

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

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or single-year contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.

I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

 

Question. 1

Which institutes and vendors had more than one contracts in any year?

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

Which institutes had multiple contracts during the same year?

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

What BEST can be concluded about the number of contracts in 2010?

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

In how many years during this period was there only one contract?

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

Which of the following is true?

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

In which of the following years were there two or more contracts?

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

The first year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least  two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15-mark questions followed the 10-mark questions.


The following additional facts are known.
i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.
ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT.
iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET.
iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both.
v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

Question. 1

Which of the following questions did Beti prepare in ET?

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

Who prepared 15-mark questions for MT and ET?

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

How many 5‐mark questions were there in MT and ET combined?

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

The second question in ET was prepared by:

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

The second question in ET was prepared by:

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Students in a college are discussing two proposals --
A: a proposal by the authorities to introduce dress code on campus, and
B: a proposal by the students to allow multinational food franchises to set up outlets on college campus.

A student does not necessarily support either of the two proposals. In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1. 250 students supported proposal A and 250 students supported proposal B.
2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.
3. Among those who preferred Ragini, 30% supported proposal A.
4. 20% of those who supported proposal B preferred Sunita.
5. 40% of those who did not support proposal B preferred Ragini.
6. Every student who preferred Sunita and supported proposal B also supported proposal A.
7. Among those who preferred Ragini, 20% did not support any of the proposals.

 

Question. 1

What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president?

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Question. 2

How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?

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

What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?

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

Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?

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Comprehension. 9

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally, and Terence. For example, Paula speaks only Chinese and English.

These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a
particular language if at least one of its members speak that language.
The following facts are known.
(1) Each team speaks exactly four languages and has the same number of members.
(2) English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
(3) None of the teams include both Quentin and Robert.
(4) Paula and Sally are together in exactly two teams.
(5) Robert is in Team 1 and Quentin is in Team 3.

Question. 1

Apart from Chinese and English, which languages are spoken by Team 1?

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

Who among the five people is a member of all teams?

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

Who among the following four people is a part of exactly two teams?

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

Who among the following four is not a member of Team 2?

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

A new game show on TV has 100 boxes numbered 1, 2, ....., 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, ....., in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.

Question. 1

You ask for the type of item in box 45. Instead of being given a direct answer, you are told that there are 31 items of the same type as box 45 in boxes 1 to 44 and 43 items of the same type as box 45 in boxes 46 to 100. What is the maximum possible number of different types of items?

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

Which of the following is not possible?

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

What is the maximum possible number of different types of prizes?

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Question. 4

What is the minimum possible number of different types of prizes? ? 

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Comprehension. 11

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at
intersection f.

Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

 

Question. 1

Should a new person stand at intersection d, who among the six would she see?

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

What is the minimum number of street segments that X must cross to reach Y?

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

Who can V see?

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

Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Princess, Queen, Rani, and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan, and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items.
The following additional facts are known.
i) No composer who assigned an item to Princess, assigned any item to Queen.
ii) No composer who assigned an item to Rani, assigned any item to Samragni.
iii) The first performance was by Princess; this item was assigned by Badal.
iv) The last performance was by Rani; this item was assigned by Gagan.
v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.

Question. 1

Which pair of performances were composed by the same composer?

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

The sixth performance was composed by:

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

Which of the following is FALSE?

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

Which of the following is true?

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

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

CAT DI LR 2019 Slot 1

Question. 1

Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G?

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Question. 2

Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

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Question. 3

Which digit does the letter B represent? 

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Question. 4

Which digit does the letter A represent?

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Comprehension. 14

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.

The following additional facts are known.
1. A and B are to be placed in consecutively numbered shelves in increasing order.
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.

Question. 1

Which of the following statements is necessarily true?

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

Which of the following can represent the numbers of the empty shelves in a possible arrangement?

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

Which of the following items is not a type of biscuit?

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

In how many different ways can the items be arranged on the shelves?

(a) (b) (c) (d)
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Comprehension. 15

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

According to a coding scheme the sentence,
Peacock is designated as the national bird of India is coded as 5688999 35 1135556678 56 458 13666689 1334 79 13366
This coding scheme has the following rules:
1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3,......,9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.
Answer these questions on the basis of this information

Question. 1

Which set of letters CANNOT be coded with the same digit?

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

For how many digits can the complete list of letters associated with that digit be identified?

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

What best can be concluded about the code for the letter B?

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

What best can be concluded about the code for the letter L?

(a) (b) (c) (d)
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Comprehension. 16

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

Question. 1

Which of the following statements MUST be FALSE?

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

If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was

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Question. 3

If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number Middle-aged visitors buying Gold tickets was:

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Question. 4

If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?

(a) (b) (c) (d)
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Comprehension. 17

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.

Question. 1

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and L?

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

Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and K?

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Question. 3

If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?

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

What is the minimum number of students enrolled in both G and L but not in K?

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Comprehension. 18

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:

1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.

Question. 1

Which of the following CANNOT be determined uniquely based on the given information?

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

What is the number of educationalists in the research committee? 

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Question. 3

What is the number of bureaucrats in the administration committee? 

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Question. 4

Based on the given information, which of the following statements MUST be FALSE?

(a) (b) (c) (d)
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Comprehension. 19

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:

1. Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
3. Only one male student majors in Operations, while three female students minor in Marketing.
4. One female and two male students major in Finance.
5. Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6. Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
7. Daisy minors in Operations.

Question. 1

If Chitra majors in Finance, which subject does Bandita major in?

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

Which subject does Amit major in?

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

Which subject does Deb minor in?

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

Who are the students from the institute Z?

(a) (b) (c) (d)
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Comprehension. 20

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.

1. Contamination levels at three pumps among P1 – P5 were recorded as high.
2. P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
3. P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4. High contamination levels were not recorded at any of the pumps P16 – P20.
5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

Question. 1

If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

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

If the contamination level at P11 was recorded as low, then which of the following MUST be true?

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

What best can be said about the number of pumps at which the contamination levels were recorded as medium?

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

Which of the following MUST be true?

(a) (b) (c) (d)
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Comprehension. 21

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea.
Some other information is given below:
1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup 3.
3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5.
4. Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even number.
6. Tea in Cup 3 got a higher rating than that in Cup 1.
7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam.

Question. 1

If the cup containg teas from Wayanad and Ooty had consecutive numbers, which of the following may be true ?

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

If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad?

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

What was the number of the cup that contained tea from Ooty

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Question. 4

What was the second highest rating given?

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Comprehension. 22

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.

The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.

The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not.

Question. 1

The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned once, which can be done in any order. For example a possible sequence is TIMTRL.
Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed if the original sequence is LRLTIM?

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

The lab has now decided to require six scans in the pass sequence, where exactly one finger is scanned twice, and the other fingers are scanned once, which can be done in any order. For example a possible sequence is TIMTRL.
Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed for any given person's original scan?

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Question. 3

The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is allowed, but LIMRT is not. How many different sequences are allowed for any given person's original scan?

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

The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not. How many different sequences of scans are allowed for any given person's original scan? 

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Comprehension. 23

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams - T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T 5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team.

Question. 1

One of the employees named Aneek scored 185 points. Which of the following CANNOT be true?

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

Which of the following CANNOT be the total credit points earned by any employee from the projects?

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

The number of SE in T1 and T5 for the projects in the third month are, respectively:

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

The number of times in which the composition of team T2 and the number of times in which composition of team T4 remained unchanged in two successive months are:

(a) (b) (c) (d)
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Comprehension. 24

Directions for questions: Read the given instructions carefully and answer the questions accordingly.

During a political rally, seven leaders of a party – Ajeet, Ambika, Azad, Kamal, Kapil, Mukul and Pranab– are sitting on seven chairs arranged in a row, not necessarily in the same order. It is also known that:

(i) Ambika is sitting beside Kapil.

(ii) Pranab is the party president and so he is sitting in the middle of the row.

(iii) Either Ajeet or Kamal, but not both, is sitting at one of the ends of the row.

(iv) Azad and Mukul are sitting as far as possible from each other, without violating other conditions.

 

Question. 1

Which two leaders, among the given pairs, cannot sit adjacent to each other?

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

If ‘n’ represents the number of leaders sitting between Ajeet and Azad, which of the following is not a possible value of ‘n’?

(a) (b) (c) (d)
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Comprehension. 25

Directions for question: Answer the questions on the basis of the information given below.

H1, H2, H3 and H4 are four horses that participated in each of the four different races – Race-I, Race-II, Race-III and Race-IV – during an annual horse-racing event in Goa. Each horse is owned by a different owner among Rahul, Dharma, Dablu and Ritesh, in no particular order. None of the four horses finished at the same position in more than two of the four races. In each race the four horses were given ranks 1, 2, 3 and 4 according to the positions at which they finished in the race. It is also known that:

(i) In Race-I, H2 finished third and Ritesh’s horse finished first. Interestingly, in Race-II, H2 finished first and Ritesh’s horse finished third.

(ii) In Race-IV, H2 finished third and H3 finished fourth.

(iii) Dablu’s horse finished at the same position in Race-I and Race-II, and also in Race-III and Race-IV.

(iv) In Race-IV, H1 and H3 interchanged the positions at which they had finished in Race-II.

(v) In Race-III, H3 finished fourth and H4 finished second.

(vi) Rahul’s horse did not finish first in any of the four races.

Question. 1

If the horse with the lowest sum of ranks in the four races won a Jackpot of `1 crore, which horse won the Jackpot?

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

Whose horse finished third in Race-III?

(a) (b) (c) (d)
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Comprehension. 26

Directions for the questions: Go through the situation and the accompanying table, and pick up the best alternative to answer.

There are five sets of digits; Set A, Set B, Set C, Set D and Set E; as shown in given diagram. Set A contains one digit, Set B contains two digits, Set C contains three digits. Set D contains two digits, and Set E contains one digit. Rearrange the digits, across the sets, such that the number formed out of digits of Set C is multiple of the numbers formed from digits in sets on either side. For example; in the given diagram, Set C is a multiple of digits in Set A and Set B but not of Set D and Set E.

 

Question. 1

Which of the following pairs of digits would occupy Set A and E?

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

What is the minimum number of rearrangements required to arrive at the solution? A rearrangement is defined as an exchange of positions between digits across two sets. For example, when 1 from Set C is exchanged with 5 of Set E,

(a) (b) (c) (d) (e)
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Comprehension. 27

Directions for question: Answer the questions on the basis of the information given below.

H1, H2, H3 and H4 are four horses that participated in each of the four different races – Race-I, Race-II, Race-III and Race-IV – during an annual horse-racing event in Goa. Each horse is owned by a different owner among Rahul, Dharma, Dablu and Ritesh, in no particular order. None of the four horses finished at the same position in more than two of the four races. In each race the four horses were given ranks 1, 2, 3 and 4 according to the positions at which they finished in the race. It is also known that:

(i) In Race-I, H2 finished third and Ritesh’s horse finished first. Interestingly, in Race-II, H2 finished first and Ritesh’s horse finished third.

(ii) In Race-IV, H2 finished third and H3 finished fourth.

(iii) Dablu’s horse finished at the same position in Race-I and Race-II, and also in Race-III and Race-IV.

(iv) In Race-IV, H1 and H3 interchanged the positions at which they had finished in Race-II.

(v) In Race-III, H3 finished fourth and H4 finished second.

(vi) Rahul’s horse did not finish first in any of the four races.

Question. 1

Who are the owners of H3 and H4 respectively?

(a) (b) (c) (d)
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Comprehension. 28

Study the information below and answer questions based on it.

Everyday Miss Yadav, Miss Sharma, Miss Toppo, and Miss Hussain go to a park for morning walk. One day, they reach the gate of the park at the same time and immediately start walking on the only circular track adjacent to the gate. Miss Yadav, Miss Toppo and Miss Hussain go on a clockwise direction while Miss Sharma goes anti-clockwise. Miss Hussain who is asthmatic is the slowest among the four and soon others move away from her. Like every day she could walk only one round taking almost the same time as others to complete their morning walk. After her walk Miss Hussain reads the following instruction written at the gate while others join her one after another. "Walkers are requested to use only the 500 m walking track. Plucking of flowers and leaves are strictly prohibited. The park will remain closed from 6 pm to 5 am." While walking Miss Yadav overtakes Miss Hussain twice; once near the fountain and the other time at the signature rock. Miss Toppo and Miss Sharma cross her three times.

 

Question. 1

How many times Miss Toppo would overtake Miss Yadav?

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

How many times Miss Yadav and Miss Sharma crossed each other on the track?

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

What is the total distance covered by Miss Sharma and Miss Toppo together?

(a) (b) (c) (d)
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Comprehension. 29

Directions for questions: Read the information given below and answer the questions that follow :

There are three vessels A, B and C with capacities 5, 3 and 2 respectively. There is a computer program that can perform certain functions as described below:

Drain (Y) : drains the liquid in a vessel Y.

Fill (X, Y) : fill amount from Y into X such that the amount of liquid withdrawn from Y is equal to the liquid in X.

Empty (X,Y) : empty amount from Y into X such that the amount left in Y is equal to the amount of liquid in X.

Question. 1

In addition to the three operations in above problem, the fourth operation performed is Drain A. What operations should follow so that A contains four litres of liquid ?

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

The following operations are performed in succession

1. Fill k(C, A)

2. .....................

3. Fill (C, A)

Empty (C, B)What should the second operation be if after the three operations A should contain one litre of liquid ?

(a) (b) (c) (d)
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Comprehension. 30

Directions for Questions : A robot moves on a co-ordinate plane as per the following instructions :

Question. 1

Robot goes from point A(2,6) to point B( 7, 6) to point C (2, –4) and then back to point A. Which of the following points doesn’t lie on the path of the Robot?

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

If use of GOTO instruction is not allowed & the robot is currently at (x ,y) such that x ≠ 0, y ≠ 0, then what is the minimum number of instructions required to bring the robot to origin?

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

Robot reaches (6,6) following the given set of instructions

(i) GOTO (x,y) ; (ii) WALKX(2) ; (iii) WALKY (4)

Find out position of the robot after instruction (i).(2, 4)

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