Practice NAT questions with answers and explanations.
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The decrease is 65 units.
Since 65/650 × 100 = 10%, the decrease is 10%.
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The second number is product divided by the first number.
Thus, 216 ÷ 18 = 12.
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The total population is 100,000.
The largest town has 45,000, so the fraction is 45/100 = 9/20.
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For two positive integers a and b, gcd(a,b) × lcm(a,b) = ab.
This identity links common factors and common multiples.
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The mode is the value occurring most often.
The number 4 appears three times.
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Range equals maximum minus minimum.
Thus, 40 - 12 = 28.
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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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Matrix addition is performed entry by entry.
Each corresponding pair sums to 5.
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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%.
