Practice Pakistan questions with answers and explanations.
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A set with n elements has 2ⁿ subsets.
For n = 5, this is 2⁵ = 32.
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Use n(M ∪ E) = n(M) + n(E) - n(M ∩ E).
Thus, 22 + 18 - 8 = 32.
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Thirty-two students study at least one subject.
Out of 40 students, 40 - 32 = 8 study neither.
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Curved surface area is 2πrh.
Thus, 2π × 4 × 7 = 56π cm².
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Rectangle perimeter is 2(length + width).
Thus, 2(8 + 5) = 26 cm.
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Cone volume is one-third πr²h.
Thus, 1/3 × π × 9 × 12 = 36π cm³.
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Rectangle area is length multiplied by width.
Thus, 12 × 7 = 84 m².
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Sphere volume is 4/3 πr³.
Thus, 4/3 × π × 27 = 36π cm³.
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Square area is side squared.
Thus, 9² = 81 cm².
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The edge length is the cube root of the volume.
Since 6³ = 216, the edge is 6 cm.
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The side length is √144 = 12 cm.
The perimeter is 4 × 12 = 48 cm.
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Distance is √[(3 - 0)² + (4 - 0)²].
This equals √25 = 5.
