The ratio of male to female workers in two companies A and B is 13 : 10 and 7 : 5, respectively. If both the companies have the same number of female workers, then what is the ratio of the total number of workers in A to those in B?
- (a) 24 : 23
- (b) 23 : 24 ✓ UPSC's answer
- (c) 18 : 17
- (d) 27 : 18
Why the answer is (b)
• Make the female counts equal: A = 13 : 10; B = 7 : 5 = 14 : 10.
• With 10 women each, A has 13 + 10 = 23 workers and B has 14 + 10 = 24.
• Ratio A : B = 23 : 24: (b).
Why the other options are wrong
- (a) 24 : 23
- 24 : 23 reverses the ratio.
- (c) 18 : 17
- 18 : 17 does not follow from equal numbers of women.
- (d) 27 : 18
- 27 : 18 does not follow from equal numbers of women.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2026, held on 24 May 2026. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.