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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level - Very Easy
P, Q, R, S, T and U are six members of a club. Each plays a different game out of Billiards, Squash, Poker, Carroms, Golf and Badminton, not necessarily in the same order. There are two couples in the group.
The following information is known:
No lady plays Badminton.
In a couple, the husband and wife play Squash and Golf respectively.
S, the husband of Q, plays Poker.
T plays neither Billiards nor Squash.
R plays Golf.
U, a lady, plays Carroms.
Question 1
Which of the following statements is/are definitely false?
a) Q is the wife of the person who plays Poker.
b) The person playing Carroms is not one of the couples.
c) P is the husband of the person playing Golf.
d) T is the husband of Q.
Question 2
Who plays Badminton?
a) U
b) T
c) S
d) Data inadequate
Question 3
Who plays Billiards?
a) P
b) R
c) Q
d) Data inadequate
Question 4
Which of the following pairs is a married couple?
a) PR
b) PQ
c) ST
d) SR
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✅ Answers & Explanations
Six members: P, Q, R, S, T and U
Six different games:
Billiards
Squash
Poker
Carroms
Golf
Badminton
There are exactly two married couples.
Step 1: Use the direct clues
S is the husband of Q and plays Poker.
R plays Golf.
U is a lady and plays Carroms.
Therefore:
Person | Game | Relationship/Gender |
|---|---|---|
S | Poker | Husband of Q |
Q | ? | Wife of S |
R | Golf | ? |
U | Carroms | Lady |
P | ? | ? |
T | ? | ? |
One married couple is already known:
S–Q
Step 2: Identify the remaining games
Poker, Golf and Carroms have already been assigned.
The remaining games are:
Billiards
Squash
Badminton
These must be played by P, Q and T.
The clue says:
T plays neither Billiards nor Squash.
Therefore, among the remaining games, T can play only:
Badminton
So:
T plays Badminton.
Since no lady plays Badminton, T must be a man.
Step 3: Determine P’s and Q’s games
After assigning Badminton to T, the remaining games are:
Billiards
Squash
These must be played by P and Q.
The puzzle states that in the other married couple:
The husband plays Squash.
The wife plays Golf.
R plays Golf, so R must be the wife in the second couple.
The husband of R must therefore play Squash.
Q cannot be R’s husband because Q is already the wife of S. Therefore, P must be R’s husband.
Hence:
P is the husband of R.
P plays Squash.
R plays Golf.
The only remaining game, Billiards, must be played by Q.
Thus:
Q plays Billiards.
Final Arrangement
Person | Game | Relationship |
|---|---|---|
P | Squash | Husband of R |
Q | Billiards | Wife of S |
R | Golf | Wife of P |
S | Poker | Husband of Q |
T | Badminton | Not part of a couple |
U | Carroms | Not part of a couple |
The two married couples are:
P–R
S–Q
Question 1: Which statement is definitely false?
a) Q is the wife of the person who plays Poker.
S plays Poker, and Q is S’s wife.
Therefore, this statement is true.
b) The person playing Carroms is not one of the couples.
U plays Carroms. The couples are P–R and S–Q, so U is not part of either couple.
Therefore, this statement is true.
c) P is the husband of the person playing Golf.
R plays Golf, and P is R’s husband.
Therefore, this statement is true.
d) T is the husband of Q.
S is the husband of Q, not T.
Therefore, this statement is definitely false.
Answer: d) T is the husband of Q
Question 2: Who plays Badminton?
T plays neither Billiards nor Squash. Among the three remaining games for P, Q and T, T must therefore play Badminton.
Answer: b) T
Question 3: Who plays Billiards?
P plays Squash, while T plays Badminton. Therefore, Q plays Billiards.
Answer: c) Q
Question 4: Which pair is a married couple?
The two married couples are S–Q and P–R.
Among the options, PR is present.
Answer: a) PR
Final Answers
D
B
C
A
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!