If the number of female Physics professors in the age group 25 – 34 equals 25% of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25 – 34 ?
a9
b6
c3
d2
AnswerUPSC’s answer is (a).
Physics has 32 + 8 = 40 professors, and 30 per cent of them, which is 12, are aged 25 to 34. If the women in that age group are 25 per cent of those 12, there are 3 women, so the number of men is 12 - 3 = 9. Check that 3 is a quarter of 12, which confirms the split.
Why each option is right or wrong
(a) Right. 12 - 3 = 9 men.
(b) Wrong. 6 would make women half of the group.
(c) Wrong. 3 is the number of women, not men.
(d) Wrong. 2 men and 3 women would make only 5, not 12.
Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.
