Mensuration
Ten quantitative aptitude questions, each marked as you answer.
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A rectangular plot has a perimeter of 118 m and a length of 52 m. What is its area?
Answer and working
Answer A
Length + breadth = 118 ÷ 2 = 59, so breadth = 7 m. Area = 52 × 7 = 364 m².
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What is the circumference of a circle of radius 28 cm? (Take π = 22/7.)
Answer and working
Answer C
Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
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A cylinder has radius 7 cm and height 10 cm. What is its volume? (π = 22/7)
Answer and working
Answer D
Volume = πr²h = 22/7 × 7² × 10 = 1,540 cm³.
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A cylinder has radius 14 cm and height 19 cm. What is its volume? (π = 22/7)
Answer and working
Answer C
Volume = πr²h = 22/7 × 14² × 19 = 11,704 cm³.
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The diagonal of a square is 34 cm. What is its area?
Answer and working
Answer C
Area of a square = diagonal² ÷ 2 = 1156 ÷ 2 = 578 cm².
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A box measures 12 cm × 4 cm × 10 cm. What is its volume?
Answer and working
Answer C
Volume = l × b × h = 12 × 4 × 10 = 480 cm³.
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The two sides containing the right angle of a triangle are 12 cm and 16 cm. What is its area?
Answer and working
Answer A
Area = ½ × 12 × 16 = 96 cm².
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The two sides containing the right angle of a triangle are 8 cm and 15 cm. What is its hypotenuse?
Answer and working
Answer B
Hypotenuse = √(8² + 15²) = √289 = 17 cm.
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What is the circumference of a circle of radius 42 cm? (Take π = 22/7.)
Answer and working
Answer D
Circumference = 2πr = 2 × 22/7 × 42 = 264 cm.
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A cylinder has radius 7 cm and height 17 cm. What is its volume? (π = 22/7)
Answer and working
Answer B
Volume = πr²h = 22/7 × 7² × 17 = 2,618 cm³.
More quantitative aptitude: Percentages, Profit, loss and discount, Simple interest, Compound interest, Ratio and proportion, Averages.