Practice Pakistan questions with answers and explanations.
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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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The extreme value 48 pulls the mean upward.
The median is resistant to the outlier and better represents the center.
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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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The weighted total is 1×2 + 2×3 + 3×5 = 23.
There are 10 observations, so the mean is 2.3.
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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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Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.
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The increase is 210 - 120 = 90 units.
The percentage increase is 90/120 × 100 = 75%.
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The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.
