🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


CAT 2021 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 5

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 5 : Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is

  1. 2 : 3
  2. 2 : 1
  3. 5 : 3
  4. 3 : 2

🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


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


Explanatory Answer

Two trains A and B were moving in opposite directions, their speeds being in the ratio of 5 : 3.
The speed of train A is 5x.
The speed of train B is 3x.
Let's assume length of train A and train B are La and Lb
The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other.
So, the distance travelled is Lb. For this, the time taken is 46 sec.
Trains took another 69 seconds for the rear ends of the trains to cross each other.
So, the distance travelled is La. For this, the time taken is 69 sec.
\\frac{\frac{L_{a}}{5x + 3x}}{\frac{L_{b}}{5x + 3x}}) =\\frac{69}{46})
The relative speed is (5x + 3x), since they are moving opposite to each other.
\\frac{L_{a}}{L_{b}}) = \\frac{3}{2}) 


The answer is '3 : 2'

Choice D is the correct answer.

CAT Questions | CAT Quantitative Aptitude

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com