CAT 2021 Question Paper | Quant Slot 3

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 2 : Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

Video Explanation

Explanatory Answer

Anil can complete the job in 12 days,
This means, in one day, he completes \( \frac { 1 } { 12 } \)th fraction of the job.
Barun can complete the job in 16 days,
This means, in one day, he completes \( \frac { 1 } { 16 } \)th fraction of the job.
Anil, Barun and Chandu together finish the job in 6 days.
So, the fraction of work done by Arun = \( \frac { 1 } { 12 } \times 6 \) = \( \frac {1} {2} \)
and, the fraction of work done by Barun = \( \frac { 1 } { 16 } \times 6 \) = \( \frac {3} {8} \)
The remaining work is done by Chandu.
So, the fraction of work done by Chandu = \( 1 - \frac { 1 } { 2 } - \frac { 3 } { 8 } \) = \( \frac {1} {8} \)
Since Chandu does ⅛ th of the job, he should receive ⅛ th of the Money.
Money received by Chandu = \(\frac { 1 } { 8 } \times \) ₹ 24000 = ₹ 3000

The answer is '3000'

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