Practice GAT Quantitative Reasoning questions with answers and explanations.
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If n ≡ 4 mod 7, then 2n ≡ 8 mod 7.
The remainder of 8 divided by 7 is 1.
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At 6:00, the hands point in opposite directions.
Opposite rays form a straight angle of 180°.
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Add 5 to both sides to get 3x > 15.
Dividing by 3 gives x > 5.
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Adding the equations gives twice the larger number: 50 + 14 = 64.
Dividing by 2 gives 32.
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Dividing an inequality by a negative number reverses the sign.
Thus, x > -4.
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Absolute value gives distance from zero.
Both 7 and -7 are 7 units from zero.
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Set x - 3 equal to 5 and -5.
The resulting solutions are x = 8 and x = -2.
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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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Square the equation: x² + 2 + 1/x² = 25.
Subtracting 2 gives x² + 1/x² = 23.
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Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.
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Use a² + b² = (a + b)² - 2ab.
Thus, 144 - 70 = 74.
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The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.
