Ratio and Proportion SSC CHSL Questions

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?
SSC CHSL 2021-15.04.2021-1
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:
SSC CHSL 2021-15.04.2021-3
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:
SSC CHSL 2021-15.04.2021-3
A.
4:03:00
B.
3:04:00
C.
5:04:00
D.
3:02:00
ANSWER :
D. 3:02:00
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?
SSC CHSL 2021-16.04.2021-2
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:
SSC CHSL 2021-16.04.2021-2
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:
SSC CHSL 2021-16.04.2021-3
A.
19.44
B.
32.4
C.
21.75
D.
15.64
ANSWER :
A. 19.44