Mensuration MCQ Set 5

MENSURATION MCQ SET 5

1. Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm . What is the area (in cm^2) of the rhombus ?

(a) 240

(b) 60

(c) 300

(d) 120

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Answer: D

2. The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm . If the length of its one diagonal be 26 cm , the length of the other diagonal will be –

(a) 5 cm

(b) 10 cm

(c) 6.5 cm

(d) 26 cm

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Answer: A

3. The measure of each of two opposite angle of a rhombus is 60degree and the measure of one of its sides is 10 cm . The length of its smaller diagonal is :-

(a) 10 cm

(b) 10 √3 cm

(c) 10 √2 cm

(d) 5/2 x √2 cm 

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Answer: A

4. The area of a square is 1156 cm^2 . What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and whose breadth is 14 cm less than the side of the square ?

(a) 16 : 7

(b) 19 : 5

(c) 17 : 5

(d) 21 : 19

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Answer: C

5. The breadth of a rectangular floor is 3/5 of its length . If the area of the floor is 60 metre^2 then what is the difference between the length and breadth of the floor?

(a) 6 m

(b) 7.5 m

(c) 5 m

(d) 4 m

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Answer: D

6. The area of a triangular park with sides 88m , 165 m and 187 m is equal to the area of a rectangular plot whose sides are in the ratio 5:3 . What is the perimeter (in m) of the plot?

(a) 352

(b) 384

(c) 400

(d) 320

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Answer: A

7. The sides of a rectangular garden are 176m and 56m . Its area is equal to the area of circular field . What will be the cost (in Rs.) of fencing the circular field at the rate of Rs.35 per m? (Use = π 22/7)

(a) 12,100

(b) 11,000

(c) 12,320

(d) 12,210

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 Answer: C

8. There is a rectangular garden of 240 metres x 80 metres . A path of width 4 metre is build outside the garden along its four sides . What is the area of the path?

(a) 2826 m^2

(b) 2542 m^2

(c) 2916 m^2

(d) 2624 m^2

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Answer: D

9. The length and breadth of rectangular field are in the ratio of 7 : 4 . A path 4m wide running all around outside has an area of 416 m^2 . The breadth (in m) of the field is :

(a) 28

(b) 14

(c) 15

(d) 16

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Answer: D

10. A path of uniform width runs round the inside of rectangular field 38m long and 32m wide . If the path occupies 600 m^2 then the width of the path is :

(a) 30m

(b) 5 cm

(c) 18.75 m

(d) 10 m

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Answer: B