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LOGICAL REASONING

Counting / Combinatorics — UPSC CSAT Previous Year Questions

Practice UPSC CSAT previous year questions from 2011–2026 classified underCounting / Combinatorics. Review the original question, four options, correct answer and explanation for every PYQ.

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2011–2026Years
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Counting / Combinatorics

3 questions • 2011–2026

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Question 1
UPSC CSAT 2013Counting & Selection
PASSAGE

A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, B and C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

If Y is selected and B is rejected, the team will consist of which one of the following groups?

AA, C, W and Y
BA, C, X and Y
CA, C, Y and Z
DA, W, Y and Z
View Answer & Explanation+
Correct AnswerB
Explanation

With Y selected, W cannot be selected. With B rejected, at least two males requires A and C; the compatible fourth player is X.

Question 2
UPSC CSAT 2013Counting & Selection
PASSAGE

A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, B and C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

If B is selected and Y is rejected, the team will consist of which one of the following groups?

AA, B, C and W
BA, B, C and Z
CA, B, C and X
DA, W, Y and Z
View Answer & Explanation+
Correct AnswerC
Explanation

With B selected, W is excluded; with Y rejected, the three males A, B, C plus X form the compatible four-person team.

Question 3
UPSC CSAT 2013Counting & Selection
PASSAGE

A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available: males A, B and C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

If all the three males are selected, then how many combinations of four member teams are possible?

A1
B2
C3
D4
View Answer & Explanation+
Correct AnswerB
Explanation

With A, B and C selected, W is excluded because B cannot play with W and Z is excluded because C cannot play with Z. The fourth player can be X or Y, giving two teams.

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