Practice GAT Subject Mathematics questions with answers and explanations.
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Make the common term b equal in both ratios.
Multiplying 4:7 by 2 gives 8:14, so a:b:c = 8:14:15.
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After a 20% increase, the quantity becomes 120% of the original.
The required reduction is 20/120 × 100 = 16⅔%.
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Convert each value to decimals: 5/8 = 0.625, 0.60 = 0.60, 59% = 0.59, and 3/5 = 0.60.
Therefore, 5/8 is the greatest.
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Multiply 2 × 3 = 6 and count three decimal places in total.
The product is 0.006.
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Multiply both numbers by 10 to remove decimals.
Then 48 ÷ 6 = 8.
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The third decimal digit is 6, so the second decimal digit is rounded up.
Thus, 18.746 becomes 18.75.
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The sum of the first n odd numbers equals n².
For n = 8, the sum is 8² = 64.
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The score fraction is 42/50.
Multiplying by 100 gives 84%.
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The least common multiple of 3 and 4 is 12.
A number divisible by both must therefore be divisible by 12.
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Starting from 100, a 10% increase gives 110.
A 10% decrease from 110 gives 99, which is 1% lower.
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The units digits of powers of 7 cycle as 7, 9, 3, 1.
The fourth power therefore ends in 1.
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The greatest common divisor of 18 and 24 is 6.
Dividing both terms by 6 gives 3/4.
