Practice HAT Analytical Reasoning questions with answers and explanations.
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Order does not matter when selecting a committee.
The number of selections is 5 choose 2 = 10.
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The prizes are distinct, so order matters.
The number of assignments is 5×4×3 = 60.
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Every student must receive exactly one identical pen.
There is only one distinguishable final distribution.
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Let the son's age be x and the father's age 2x.
Then 3x = 54, so x = 18.
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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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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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A conjunction is true only when both component statements are true.
Because Q is false, P AND Q is false.
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Inclusive OR is true when at least one component is true.
Since Q is true, the whole statement is true.
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The path from A to D passes through A-B, B-C, and C-D.
That requires three road segments.
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Each match corresponds to a unique pair of teams.
The number of pairs is 6×5/2 = 15.
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Each handshake is a unique pair of people.
The number of pairs is 8×7/2 = 28.
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If failure always causes closure, an open shop rules out failure under the stated assumption.
This uses the contrapositive of the rule.
