Practice HAT Quantitative Reasoning questions with answers and explanations.
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Matrix addition is performed entry by entry.
Each corresponding pair sums to 5.
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Profit is Rs. 0.6 million.
As a percentage of revenue, 0.6/2.4 × 100 = 25%.
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For [[a, b], [c, d]], determinant = ad - bc.
Thus, 2 × 4 - 3 × 1 = 5.
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An identity matrix has 1s on the main diagonal and 0s elsewhere.
It leaves a compatible matrix unchanged under multiplication.
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A square matrix is invertible only when its determinant is nonzero.
A zero determinant means the matrix is singular.
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The increase is 210 - 120 = 90 units.
The percentage increase is 90/120 × 100 = 75%.
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The probability is 4/10 × 3/9.
This simplifies to 12/90 = 2/15.
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If 55% are girls, then 45% are boys.
Forty-five percent of 480 is 216.
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Three distinct objects can be arranged in 3! ways.
Thus, 3! = 3 × 2 × 1 = 6.
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A full pie chart is 360°.
Thus, 72/360 × 100 = 20%.
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The number of arrangements of 5 distinct objects is 5!.
Thus, 5! = 120.
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Use inclusion-exclusion: 80 + 60 - 20.
This gives 120 people who prefer at least one.
