Practice Pakistan questions with answers and explanations.
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Let the number be x, so 0.40x = 72.
Dividing by 0.40 gives x = 180.
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Percent means per hundred.
Thus, 3.5% = 3.5 ÷ 100 = 0.035.
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The sum of the first n natural numbers is n(n + 1)/2.
For n = 10, the sum is 10 × 11 ÷ 2 = 55.
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The required percentage is 45/250 × 100.
This equals 18%.
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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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After a 20% increase, the quantity becomes 120% of the original.
The required reduction is 20/120 × 100 = 16⅔%.
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Division and multiplication have equal priority and are performed left to right.
So 48 ÷ 6 = 8, and 8 × 3 = 24.
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Multiplication is performed before addition.
Thus, 3 × 4 = 12 and 5 + 12 = 17.
