CAT 2021 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 2

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


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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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