# CAT 2021 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 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 3 : Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

In 45, minutes, number of rounds completed by Amal = $$frac { 45 } { a }$ In 45, minutes, number of rounds completed by Mira = $$frac { 45 } { m }$ We know that, in 45 minutes, Amal completed 3 more rounds than Mira. Therefore, $\frac { 45 } { a }$= $\frac { 45 } { m }$+ 3 $\frac { 45 } { a } - \frac { 45 } { m } = 3$ $\frac { 1 } { a } - \frac { 1 } { m } = \frac { 1 } { 15 }$—$1$
In 3, minutes, number of rounds completed by Amal = $$frac { 3 } { a }$ In 3, minutes, number of rounds completed by Mira = $$frac { 3 } { m }$ We know that, in 3 minutes, Amal and Mira together complete one round. Therefore, $\frac { 3 } { a }$+ $\frac { 3 } { m }$= 1 $\frac { 1 } { a } + \frac { 1 } { m } = \frac { 1 } { 3 }$—$2$