Ratio & Proportion

SSC CGL · Quantitative Aptitude · 98 practice questions with answers and explanations: 44 Easy, 32 Medium, 22 Hard.

Sample questions

Sample Easy question 1

If p:q = 5:6 and q:r = 2:3, find p:q:r.

  1. 4:5:6
  2. 5:6:9
  3. 3:4:5
  4. 6:7:8
Show answer

Answer: B. Scaling p:q to 10:12 and q:r to 12:18 gives p:q:r = 10:12:18 = 5:6:9.

Sample Medium question 2

If a:b = 5:6 and b:c = 9:11, find a:c.

  1. 13:22
  2. 15:22
  3. 15:20
  4. 14:22
Show answer

Answer: B. Scaling a:b to 15:18 and b:c to 18:22 gives a:c = 15:22.

Sample Hard question 3

The ratio of the volumes of two cubes is 27:64. Find the ratio of their surface areas.

  1. 8:15
  2. 9:16
  3. 10:17
  4. 3:4
Show answer

Answer: B. Volume ratio 27:64 gives a side ratio of 3:4, so the surface area ratio (side²) is 9:16.

More Quantitative Aptitude topics for SSC CGL

Related articles