2016 CSAT, all questions
UPSC Prelims 2016 · CSAT
Question 73: Basic Numeracy
A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. How much portion of the underground tank is still filled with water after filling the overhead tank completely ?
a1/3
b1/2
c1/4
d1/6
AnswerUPSC’s answer is (a).
Overhead tank volume = pi r^2 h = (22/7) x 2 x 2 x 7 = 88 m^3. The underground tank holds 5.5 x 4 x 6 = 132 m^3, taken as full at the start. After filling the overhead tank, 132 - 88 = 44 m^3 remains, and 44 / 132 = 1/3.
Why each option is right or wrong
- (a) Right: 44 / 132 = 1/3.
- (b) Half would leave 66 m^3.
- (c) A quarter would leave 33 m^3.
- (d) A sixth would leave 22 m^3.
Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.
Source: UPSC, Civil Services (Preliminary) Examination 2016, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.