Practice Pakistan questions with answers and explanations.
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When dividing powers with the same base, subtract the exponents.
Thus, x⁷ ÷ x³ = x⁴.
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The speed is 90 × 5/18 = 25 m/s, so total distance is 25 × 24 = 600 m.
Subtracting the train length gives a bridge length of 400 m.
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Square the coefficient and multiply the exponent by 2.
This gives 2²a⁶ = 4a⁶.
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Downwind speed is 300 km/h and upwind speed is 200 km/h.
Wind speed is half their difference: 50 km/h.
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An exponent of 1/2 represents a square root.
Thus, 16^(1/2) = √16 = 4.
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Subtract 7 from both sides of the equation.
This gives x = 19 - 7 = 12.
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Since 32 = 2⁵, the exponents must be equal.
Therefore, x = 5.
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Divide both sides by the coefficient 3.
Thus, x = 27 ÷ 3 = 9.
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The logarithm asks what power of 10 gives 1,000.
Since 10³ = 1,000, the answer is 3.
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Subtract 5 to get 2x = 12.
Dividing by 2 gives x = 6.
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The logarithmic equation means x = 2⁶.
Thus, x = 64.
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Relative speed is 66 km/h = 55/3 m/s.
Length = speed × time = 55/3 × 18 = 330 meters.
