2014 CSAT, all questions

UPSC Prelims 2014 · CSAT

Question 67: Logical Reasoning and Mental Ability

In a row 'A' is in the 11th position from the left and 'B' is in the 10th position from the right. If 'A' and 'B' interchange, then 'A' becomes 18th from the left. How many persons are there in the row other than 'A' and 'B' ?

a27
b26
c25
d24

AnswerUPSC’s answer is (c).

A is 11th from the left and B is 10th from the right. After they swap, A takes B's old place and becomes 18th from the left, so B was 18th from the left. B is also 10th from the right, so the row has 18 + 10 - 1 = 27 people. Excluding A and B, that leaves 25.

How you could have got this

No shortcut here: in a “how many” question, ruling out options doesn’t help. Every statement has to be judged.

Which options go is worked out from UPSC’s key and the options, not by a model.

Why each option is right or wrong
  • (a) 27 is the whole row, including A and B.
  • (b) 26 removes only one of A and B.
  • (c) Right. 27 - 2 = 25.
  • (d) 24 removes one person too many.

Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.

Source: UPSC, Civil Services (Preliminary) Examination 2014, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.