2013 CSAT, all questions

UPSC Prelims 2013 · CSAT

Question 66: Basic Numeracy

A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways ?

aTwo hours
bTwo and a half hours
cFive and a half hours
dFour hours

AnswerUPSC’s answer is (a).

Let walking one way take w hours and driving one way take d hours. Walking one way and driving back takes w + d = 6. Walking both ways takes 2w = 10, so w = 5 and d = 1. Driving both ways therefore takes 2d = 2 hours. Two equations, two unknowns, then double the driving time.

Why each option is right or wrong
  • (a) Right. d = 1, so both ways take 2 hours.
  • (b) Wrong. 2.5 hours would mean d = 1.25 and w + d = 6.25.
  • (c) Wrong. 5.5 hours would mean d = 2.75 and w + d = 7.75.
  • (d) Wrong. 4 hours would mean d = 2 and w + d = 7.

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

Source: UPSC, Civil Services (Preliminary) Examination 2013, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.