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Selection Questions for CAT

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Verified questions466
Worked solutions in practice mode10 from CAT papers
106 easy166 medium194 hard

23 free Selection questions

1EasyPassage, 4 questions

Six candidates are screened, with attributes (Age, Experience in years, Qualification): A = (30, 5, PG); B = (38, 7, PG); C = (28, 2, PG); D = (32, 4, UG); E = (34, 6, PG); F = (29, 3, PG). A candidate is REJECTED if any of these criteria is triggered: (i) age greater than 35; (ii) experience less than 3 years; (iii) no postgraduate (PG) degree. Whoever is not rejected survives.

Question 1

Which candidate is rejected by criterion (i), age greater than 35?

  1. A

    A

  2. B

    B

  3. C

    E

  4. D

    F

Question 2

Which candidate is rejected by criterion (ii), experience less than 3 years?

  1. A

    C

  2. B

    D

  3. C

    F

  4. D

    A

Question 3

Which candidate is rejected by criterion (iii), no PG degree?

  1. A

    B

  2. B

    C

  3. C

    D

  4. D

    E

Question 4

How many candidates survive all three criteria?

  1. A

    2

  2. B

    3

  3. C

    4

  4. D

    5

Show solution
2EasyPassage, 4 questions

A committee of 3 must be formed from 4 women (W1 to W4) and 5 men (M1 to M5). The committee must contain exactly 2 women and exactly 1 man. The two pools are separate.

Question 1

In how many ways can the 2 women be chosen?

  1. A

    4

  2. B

    6

  3. C

    8

  4. D

    12

Question 2

In how many ways can the 1 man be chosen?

  1. A

    3

  2. B

    4

  3. C

    5

  4. D

    10

Question 3

How many valid committees of 3 can be formed in total?

  1. A

    11

  2. B

    20

  3. C

    30

  4. D

    60

Question 4

If a particular woman, say W1, must be one of the two women chosen, how many valid committees are there?

  1. A

    10

  2. B

    15

  3. C

    18

  4. D

    20

Show solution
3MediumPassage, 4 questions

Eight people are to be divided into two project teams of 4. Of the 8, exactly 3 are engineers (E1, E2, E3) and 5 are managers (M1 to M5). The two teams (Team 1 and Team 2) are distinguishable. Each team must have at least 1 engineer. image

Question 1

Ignoring the engineer requirement, in how many ways can the 8 people be split into Team 1 (4) and Team 2 (4)?

  1. A

    35

  2. B

    56

  3. C

    70

  4. D

    256

Question 2

In how many of these splits does Team 1 end up with 0 engineers?

  1. A

    5

  2. B

    10

  3. C

    15

  4. D

    20

Question 3

In how many splits does Team 2 end up with 0 engineers (equivalently, Team 1 holds all 3 engineers plus 1 manager)?

  1. A

    3

  2. B

    5

  3. C

    10

  4. D

    15

Question 4

How many valid splits are there, where each team has at least 1 engineer?

  1. A

    50

  2. B

    55

  3. C

    60

  4. D

    65

Show solution
4MediumPassage, 3 questions

A group of three or four has to be selected from seven persons. Among the seven are two women: Fiza and Kavita, and five men: Ram, Shyam, David, Peter and Rahim. Ram would not like to be in the group If Shyam is also selected. Shyam and Rahim want to be selected together in the group. Kavita would like to be in the group only if David is also there. David, if selected, would not like Peter in the group. Ram would like to be in the group only if Peter is also there. David insists that Fiza be selected in case he is there in the group.

Question 1

Which of the following is a feasible group of three?

  1. A

    David, Ram and Rahim

  2. B

    Peter, Shyam and Rahim

  3. C

    Kavita, David and Shyam

  4. D

    Fiza, David and Ram

Question 2

Which of the following is a feasible group in four?

  1. A

    Ram, Peter, Fiza and Rahim

  2. B

    Shyam, Rahim, Kavita and David

  3. C

    Shyam, Rahim, Fiza and David

  4. D

    Fiza, David, Ram and Peter

Question 3

Which of the following statements is true?

  1. A

    Kavita and Ram can be part of a group of four

  2. B

    A group of four can have two women

  3. C

    A group of four can have all four men

  4. D

    None of these

Show solution
5MediumPassage, 4 questions

A selection has two phases over 6 candidates A, B, C, D, E, F. Phase 1: shortlist 4 of the 6. Phase 2: select a final committee of 2 from the 4 shortlisted. Rule: In Phase 1, A and B cannot both be shortlisted.

Question 1

How many valid Phase 1 shortlists of 4 are there?

  1. A

    6

  2. B

    9

  3. C

    12

  4. D

    15

Question 2

For any one shortlist of 4, how many Phase 2 committees of 2 can be formed?

  1. A

    4

  2. B

    6

  3. C

    8

  4. D

    12

Question 3

Which final committee of 2 can never occur?

  1. A

    {A, C}

  2. B

    {A, B}

  3. C

    {C, D}

  4. D

    {B, E}

Question 4

How many distinct final committees of 2 are possible overall?

  1. A

    9

  2. B

    13

  3. C

    14

  4. D

    15

Show solution
6HardPassage, 4 questions

The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions:

  1. On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers.
  2. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11.
  3. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers.
  4. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and bowl, whereas a proper batsman and proper bowler can only bat or bowl, respectively.
  5. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays.
  6. At most two out of Virat, Rahul and Shreyas can play at any given time.
  7. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners.
  8. Exactly one out of Mayank and Virat must play in the team.
  9. Exactly one among Rishabh and Sanju gets a place in the playing 11.
  10. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.

The 15-man squad selected are: image

Question 1

Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?

  1. A

    20

  2. B

    22

  3. C

    25

  4. D

    28

Question 2

How many combinations of playing 11 are possible on a grass pitch?

  1. A

    20

  2. B

    22

  3. C

    24

  4. D

    26

Question 3

How many players who can bowl spin will play on a flat track?

  1. A

    1

  2. B

    2

  3. C

    3

  4. D

    4

Question 4

In how many ways can proper batsmen be selected if the coach tries to minimize the number of proper batsmen?

  1. A

    3

  2. B

    4

  3. C

    5

  4. D

    6

Show solution
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See the 10 CAT PYQs on SelectionActual papers, 2017–2025, organised by year and slot

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