Practice HAT Quantitative Reasoning questions with answers and explanations.
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The operation inside parentheses is completed first.
Then 12 ÷ 3 = 4.
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Convert 1/4 to 2/8.
Then 7/8 - 2/8 = 5/8.
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The multiplicative inverse of a nonzero fraction is its reciprocal.
Interchanging numerator and denominator gives 7/5.
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Multiply numerators and denominators, then simplify.
(3 × 10)/(5 × 9) = 30/45 = 2/3.
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A composite number has more than two positive factors.
The number 4 has factors 1, 2, and 4.
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Dividing by a fraction means multiplying by its reciprocal.
Thus, 4/7 × 3/2 = 12/14 = 6/7.
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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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Dividing 84 by primes gives 84 = 2 × 2 × 3 × 7.
This is 2² × 3 × 7.
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Divide 7 by 20 or convert the denominator to 100.
Since 7/20 = 35/100, the decimal is 0.35.
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An irrational number cannot be expressed as a ratio of integers.
The number √2 has a nonterminating, nonrepeating decimal expansion.
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Twenty-five percent is one quarter.
One quarter of 240 is 240 ÷ 4 = 60.
