Practice HAT questions with answers and explanations.
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The mode is the value occurring most often.
The number 4 appears three times.
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Rent and food use 55%, leaving 45%.
Forty-five percent of Rs. 60,000 is Rs. 27,000.
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Range equals maximum minus minimum.
Thus, 40 - 12 = 28.
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Compare Tuesday sales with Monday: 210/150 × 100.
This equals 140%.
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Matrix order is written as rows by columns.
Therefore, 3 rows and 4 columns give order 3 × 4.
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There are 12 ratio parts, so one part is 30.
Rural respondents are 5 × 30 = 150.
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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%.
