Practice GAT Subject Mathematics questions with answers and explanations.
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Convert 2/3 to sixths: 2/3 = 4/6.
Then 4/6 + 1/6 = 5/6.
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Convert 1/4 to 2/8.
Then 7/8 - 2/8 = 5/8.
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Multiply numerators and denominators, then simplify.
(3 × 10)/(5 × 9) = 30/45 = 2/3.
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Dividing by a fraction means multiplying by its reciprocal.
Thus, 4/7 × 3/2 = 12/14 = 6/7.
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The decimal 0.375 equals 375/1000.
Dividing numerator and denominator by 125 gives 3/8.
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Divide 7 by 20 or convert the denominator to 100.
Since 7/20 = 35/100, the decimal is 0.35.
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Twenty-five percent is one quarter.
One quarter of 240 is 240 ÷ 4 = 60.
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The increase is 20 on an original value of 80.
The percentage increase is 20/80 × 100 = 25%.
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The decrease is Rs. 75.
The percentage decrease is 75/500 × 100 = 15%.
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Let the number be x, so 0.40x = 72.
Dividing by 0.40 gives x = 180.
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The sequence increases by 3 each time.
Adding 3 to 11 gives 14.
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Percent means per hundred.
Thus, 3.5% = 3.5 ÷ 100 = 0.035.
