Practice Pakistan questions with answers and explanations.
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The path forms a right triangle with legs 5 and 12.
By Pythagoras, distance is √(25 + 144) = 13 km.
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The first part takes 2 hours and the second takes 1 hour.
The total travel time is 3 hours.
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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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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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The metre is the SI base unit of length.
Other metric length units are derived from it using prefixes.
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The kilogram is the SI base unit of mass.
The gram is one-thousandth of a kilogram.
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The second is the SI base unit of time.
Minutes and hours are accepted non-SI units derived from it.
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A scalar has magnitude only.
Speed has no associated direction.
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A vector has both magnitude and direction.
Acceleration describes the rate and direction of velocity change.
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Both sides of a valid physical equation must have the same dimensions.
Dimensional analysis can reveal inconsistent formulas.
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Downstream speed is 15 km/h and upstream speed is 10 km/h.
Still-water speed is their average: 12.5 km/h.
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In the same time, the faster runner covers 1,000 m while the slower covers 900 m.
Their speed ratio is therefore 1,000:900 = 10:9.
