MCQ Collection
GAT MCQs
Practice GAT questions with answers and explanations.
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Correct Answer: A. W, Z, X, V, Y
Explanation:
The valid order preserves W before X before Y and Z before V.
Only W, Z, X, V, Y satisfies both chains.
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Correct Answer: B. Use heat and light by turning one switch on, then off, and another on before entering.
Explanation:
One switch leaves the bulb warm, one leaves it lit, and one leaves it cold and dark.
These three states identify all three switches in one entry.
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Correct Answer: C. False
Explanation:
A conjunction is true only when both component statements are true.
Because Q is false, P AND Q is false.
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Correct Answer: D. True
Explanation:
Inclusive OR is true when at least one component is true.
Since Q is true, the whole statement is true.
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Correct Answer: A. All red objects are visible.
Explanation:
Red objects form a subset of large objects, which form a subset of visible objects.
Therefore, red objects must be visible.
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Correct Answer: B. 3
Explanation:
The path from A to D passes through A-B, B-C, and C-D.
That requires three road segments.
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Correct Answer: C. 15
Explanation:
Each match corresponds to a unique pair of teams.
The number of pairs is 6×5/2 = 15.
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Correct Answer: D. 28
Explanation:
Each handshake is a unique pair of people.
The number of pairs is 8×7/2 = 28.
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Correct Answer: A. 10
Explanation:
Order does not matter when selecting a committee.
The number of selections is 5 choose 2 = 10.
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Correct Answer: B. 60
Explanation:
The prizes are distinct, so order matters.
The number of assignments is 5×4×3 = 60.
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Correct Answer: C. 1
Explanation:
Every student must receive exactly one identical pen.
There is only one distinguishable final distribution.
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Correct Answer: D. S, P, Q, R
Explanation:
The constraints form a single chain S before P before Q before R.
Only S, P, Q, R satisfies all three conditions.