Mensuration MCQ Set 4

1. The minute hand of a clock is 20cm long . Find the area on the face of the clock swept by the minute hand between 8 am and 8:45 am.

(a) 6600/7 cm^2

(b) 6600/9 cm^2

(d) 6600/18 cm^2

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Answer: A

2. An equilateral triangle circumscribes all the circles , each with radius 10 cm . What is the perimeter of the equilateral triangle ?

(a) 20 (2 + √3) cm

(b) 30 (2 + √3) cm

(d) None of these

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Answer: C

3. Three circles of radius cm are kept touching each other . The string is tightly tied around these three circles . What is the length of the string ?

(a) 42 + 7 π cm

(b) 21 + 14 π cm

(d) 7 + 14 π cm

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Answer: C

4. In a quadrilateral ABCD , AC = 12 cm . If length of the perpendiculars drawn from B and D to line AC are 5 cm and 7 cm , the area of the quadrilateral ABCD is :

(a) 60 cm^2

(b) 72 cm^2

(d) 90 cm^2

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Answer: B

5. Find the area of the quadrilateral formed by joining the mid points of the sides of the quadrilateral of area 160 cm^2 .

(a) 60 cm^2

(b) 80 cm^2

(d) 100 cm^2

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Answer: B

6. Two sides of a plot measuring 32m and 24m and the angle between them is a perfect right angle . The other two sides measure 25m each and the other three angles are not right angles . The area of the plot in m^2 is :-

(a) 786

(b) 534

(d) 684

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Answer: D

7. Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m .

(a) 7457 m^2

(b) 7546 m^2

(d) 8844 m^2

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Answer: B

8. If radius of all the circles is 14 cm , find the area of the shaded region

(a) 168 cm^2

(b) 616 cm^2

(d) 256 cm^2

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Answer: A

9. An equilateral triangle is made on the diagonal of a square . Then find the ratio of their areas .

(a) √3 : 2

(b) √2 : √3

(d) 1 : √2

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Answer: A

10. The sum of the square of the sides of a rhombus is 1600 cm^2 . What is the side of the rhombus ?

(a) 25 cm

(b) 15 cm

(d) 10 cm

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Answer: C