# CAT 2022 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 2

CAT 2022 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 : Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is

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This means that their efficiencies are in the ratio $$frac { 1 } { 5 } : $frac { 1 } { 8 } : \frac { 1 } { 10 }$ Or, their efficiencies are in the ratios 8 : 5 : 4 This means, for instance, if Anu can wash 8 plates in an hour, Tanu and Manu can wash 5 & 4 plates respectively in one hour. So, let us remodel the entire question over this imaginary scenario of washing plates… All three of them finish the job in 4 days working 8 hours per day. Anu, Tanu and Manu can wash 8, 5 and 4 plates respectively in an hour. So the total number of plates = $$ 8 + 5 + 4$ $times 4 $times 8 = 17 \times 4 \times 8$ Anu and Tanu work together for 6 days, working 6 hours 40 minutes per day. The total number of plates washed by them = $$ 8 + 5$ $times 6 $times 6 \frac { 2 } { 3 } = 13 \times 40$ So the remaining plates to be washed $= 17 \times 4 \times 8 - 13 \times 40$ $= 4$ 17 $times 8 - 130$$ $= 4$ 80 + 56 - 130 )$