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 :
ฯ = 22/7
(a) 8800
(b) 8756
(c) 8558
(d) 8778
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 ? (ฯ = 22/7)
(a) Rs.18966
(b) Rs.24832
(c) Rs.19866
(d) Rs.29799
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?
(ฯ = 22/7)
(a) 91 and 84
(b) 171 and 84
(c) 115 and 91
(d) 115 and 171
Answer: D
4. Two circles touch each other internally , if the sum of the areas of two circles is 116ฯ 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
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
Answer: A
6. Two circles touch externally . The sum of their areas is 130ฯ 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
Answer: A
7. If a wheel has diameter 42cm , then how far does the wheel go (in meters) in 12 revolutions? (ฯ = 22/7)
(a) 17.64
(b) 15.84
(c) 23.27
(d) 21.45
ย 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 ฯ = 22/7)
(a) 72/25
(b) 118/25
(c) 144/25
(d) 108/25
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 ฯ = 22/7)
(a) 4136 cm^2
(b) 4136 x 10^3 cm^2
(c) 41360 cm^2
(d) 4136 x 10^2 cm^2
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
Answer: D
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