Mensuration MCQ Set 3

MENSURATION MCQ SET 3

1. The perimeter of a circular lawn is 1232 m . There is 7 m wide path around the lawn . The area (in m^2) of the path is :

π = 22/7

(a) 8800

(b) 8756

(c) 8558

(d) 8778

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Answer: D

2. A race track is in the shape of a ring whose inner and outer circumference is 440m and 506 , respectively . What is the cost of levelling the track at Rs.6/m^2 ? (π = 22/7)

(a) Rs.18966

(b) Rs.24832

(c) Rs.19866

(d) Rs.29799

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Answer: D

3. The sum of the radii of two circles is 286cm and the area between the concentric circles is 50336 cm^2 . What are the radii (in cm) of the two circles?
(π = 22/7)

(a) 91 and 84

(b) 171 and 84

(c) 115 and 91

(d) 115 and 171

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Answer: D

4. Two circles touch each other internally , if the sum of the areas of two circles is 116π cm^2 and the distance between their centres is 6 cm . Find the radius of both the circles .

(a) 10 , 4

(b) 11 , 3

(c) 8 , 6

(d) 9 , 5

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Answer: A

5. A small circle touches a bigger circle internally and also passes through the center ‘O’ of the bigger circle . If the area of the smaller circle is 192 cm^2 , the area of the bigger circle (in cm^2) is :

(a) 768

(b) 384

(c) 1024

(d) 720

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Answer: A

6. Two circles touch externally . The sum of their areas is 130π sq. cm and the distance between their centres is 14 cm . Find the radii of the circles .

(a) 11 , 3

(b) 10 , 4

(c) 9 , 5

(d) 8 , 6

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Answer: A

7. If a wheel has diameter 42cm , then how far does the wheel go (in meters) in 12 revolutions? (π = 22/7)

(a) 17.64

(b) 15.84

(c) 23.27

(d) 21.45

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 Answer: B

8. An athlete runs 8 times around a circular field of radius 7 m in 3 minutes 40 seconds . His speed (in km/h) is : (Taken π = 22/7)

(a) 72/25

(b) 118/25

(c) 144/25

(d) 108/25

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Answer: C

9. The radius of a roller is 14cm and its length 20 cm . It takes 235 complete revolutions to move once over to level a playground . Find the area of the playground . (Use π = 22/7)

(a) 4136 cm^2

(b) 4136 x 10^3 cm^2

(c) 41360 cm^2

(d) 4136 x 10^2 cm^2

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Answer: D

10. The diameter of a wheel is 1.33 m . What distance (in a m, to the nearest whole number) will it travel in 380 revolutions?

(a) 1856

(b) 1855

(c) 1685

(d) 1588

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Answer: D