Practice Pakistan questions with answers and explanations.
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The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.
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Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.
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The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.
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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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The score fraction is 42/50.
Multiplying by 100 gives 84%.
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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 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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Percent means per hundred.
Thus, 3.5% = 3.5 ÷ 100 = 0.035.
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The required percentage is 45/250 × 100.
This equals 18%.
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Multiples of 8 are 8, 16, 24, and so on.
The first multiple also divisible by 12 is 24.
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The sum of the first n odd numbers equals n².
For n = 8, the sum is 8² = 64.
