Practice HAT questions with answers and explanations.
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Twenty-five percent is one quarter.
One quarter of 240 is 240 ÷ 4 = 60.
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The expression 2⁵ means multiplying five factors of 2.
Thus, 2 × 2 × 2 × 2 × 2 = 32.
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The increase is 20 on an original value of 80.
The percentage increase is 20/80 × 100 = 25%.
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The square root is the number whose square equals 196.
Since 14 × 14 = 196, the answer is 14.
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The decrease is Rs. 75.
The percentage decrease is 75/500 × 100 = 15%.
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The cube root is the number that gives 729 when cubed.
Since 9³ = 729, the answer is 9.
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Let the number be x, so 0.40x = 72.
Dividing by 0.40 gives x = 180.
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The sequence increases by 3 each time.
Adding 3 to 11 gives 14.
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Percent means per hundred.
Thus, 3.5% = 3.5 ÷ 100 = 0.035.
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The sum of the first n natural numbers is n(n + 1)/2.
For n = 10, the sum is 10 × 11 ÷ 2 = 55.
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The required percentage is 45/250 × 100.
This equals 18%.
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The sum of the first n odd numbers equals n².
For n = 8, the sum is 8² = 64.
