Practice HAT questions with answers and explanations.
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The positive factors of 16 are 1, 2, 4, 8, and 16.
Therefore, it has 5 positive factors.
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The decimal 0.375 equals 375/1000.
Dividing numerator and denominator by 125 gives 3/8.
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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 digit 7 is in the thousands place.
Therefore, its place value is 7 × 1,000 = 7,000.
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A prime number has exactly two positive factors: 1 and itself.
The number 29 is not divisible by 2, 3, or 5.
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The common factors of 36 and 48 include 1, 2, 3, 4, 6, and 12.
The greatest of these is 12.
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Multiples of 8 are 8, 16, 24, and so on.
The first multiple also divisible by 12 is 24.
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A number is divisible by 9 when the sum of its digits is divisible by 9.
For 5,832, the digit sum is 18.
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The path from A to D passes through A-B, B-C, and C-D.
That requires three road segments.
