Practice Pakistan questions with answers and explanations.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.
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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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For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.
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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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The logarithmic equation means x = 2⁶.
Thus, x = 64.
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The common difference is 4.
Adding 4 to 19 gives 23.
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Multiply both sides by 4.
Thus, x = 7 × 4 = 28.
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The nth term is a + (n - 1)d.
Thus, 3 + 9 × 4 = 39.
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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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Each term is multiplied by 2.
Thus, 24 × 2 = 48.
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Substitute x = 2 to obtain 4 + 3y = 13.
Then 3y = 9, so y = 3.
