2019 CSAT, all questions
UPSC Prelims 2019 · CSAT
Question 19: Basic Numeracy
Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent ₹ 1300 and Rajesh spent ₹ 1500. If each racket costs three times a ball does, then what is the price of a racket ?
a₹ 70
b₹ 90
c₹ 210
d₹ 240
AnswerUPSC’s answer is (c).
Together they spent 1300 + 1500 = ₹2800 on 10 balls and 10 rackets. If a ball costs b, a racket costs 3b, so 10b + 10 × 3b = 40b = 2800 and b = 70. A racket costs 3 × 70 = ₹210. Note that 70 is the price of a ball, not of a racket.
Why each option is right or wrong
- (a) Wrong: ₹70 is the price of a ball.
- (b) Wrong: ₹90 does not fit 40b = 2800.
- (c) Right: 3 × 70 = ₹210.
- (d) Wrong: ₹240 would make a ball ₹80 and the total ₹3200.
Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.
Source: UPSC, Civil Services (Preliminary) Examination 2019, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.