Practice Pakistan questions with answers and explanations.
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By Pythagoras, c² = 6² + 8² = 100.
Thus, c = 10 cm.
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For a right triangle, the square of the longest side equals the sum of the other squares.
Here, 5² + 12² = 13².
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An exterior angle equals the sum of the two remote interior angles.
It is supplementary to the adjacent interior angle.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
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A rhombus is defined by four equal sides.
Its angles need not be right angles.
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Move variable terms to one side and constants to the other.
Then 3x = 15, so x = 5.
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Multiply both sides by 4.
Thus, x = 7 × 4 = 28.
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Adding the equations gives 2x = 14, so x = 7.
Substituting into x + y = 10 gives y = 3.
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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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Substitute x = 2 to obtain 4 + 3y = 13.
Then 3y = 9, so y = 3.
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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.
