Practice Pakistan questions with answers and explanations.
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The terms are factorials: 1!, 2!, 3!, and 4!.
The next term is 5! = 120.
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Each term is obtained by doubling the previous term and adding 1.
Thus, 31 × 2 + 1 = 63.
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Each term is half of the preceding term.
Therefore, 8 ÷ 2 = 4.
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The sequence doubles at each step.
Thus, 88 × 2 = 176.
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Each term is twice the previous term plus 1.
So 31 × 2 + 1 = 63.
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Each term increases by 3.
Adding 3 to 12 gives 15.
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Each term is double the previous term.
Therefore, 16 × 2 = 32.
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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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Dividing 84 by primes gives 84 = 2 × 2 × 3 × 7.
This is 2² × 3 × 7.
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An irrational number cannot be expressed as a ratio of integers.
The number √2 has a nonterminating, nonrepeating decimal expansion.
