Ratio and Proportion SSC CHSL Questions

Ratio and Proportion

Ratio and Proportion MCQ Questions

7.
The present ages of A and B are in the ratio 9 : 10. The ratio of their ages 8 years from now will be 11 : 12. What will be the sum of their ages (in years) after 3 years from now?
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A.
84
B.
82
C.
76
D.
78
ANSWER :
B. 82
8.

Three numbers are in the ratio \(\dfrac{3}{4},\; \dfrac{5}{8},\; \dfrac{7}{12}\). If the difference between the greatest and the smallest number is 48, then the value of the greatest number will be:


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A.

126

B.

226

C.

216

D.

262

ANSWER :

C. 216

9.

If tan θ + cot θ = 4, then the ratio of 3(tan2θ + cot2θ) to (2cosec2θ sec2θ − 4) will be:


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A.

4:3

B.

3:4

C.

5:4

D.

3:2

ANSWER :

D. 3:2

10.

The area of a triangular field whose sides are 96 m, 110 m, and 146 m is equal to the area of a rectangular park whose sides are in the ratio 3 : 2. What is the perimeter (in m) of the rectangular park?


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A.

\(80\sqrt{5}\)

B.

\(40\sqrt{55}\)

C.

\(20\sqrt{55}\)

D.

\(40\sqrt{11}\)

ANSWER :

B. \(40\sqrt{55}\)

11.
If the ratio of A : B is 5 : 4 and B : C is 3 : 5, then the ratio of A : B : C is:
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A.
12 : 15 : 20
B.
15 : 12 : 20
C.
15 : 20 : 12
D.
20 : 15 : 12
ANSWER :
B. 15 : 12 : 20
12.
The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm2) of the triangle is:
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A.
19.44
B.
32.4
C.
21.75
D.
15.64
ANSWER :
A. 19.44