IIFT 2018 Question Paper | Quants

IIFT Previous Year Paper | IIFT Quants Questions | Question 11

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2018 IIFT, Quants was a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 11 : Joseph diametrically crosses a semi-circular playground and takes 48 seconds less than if he crosses the playground along the semi-circular path. If he walks 50 metres in one minute, the diameter of playground is

  1. 54 metres
  2. 70 metres
  3. 85 metres
  4. 35 metres

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


2IIM : Best Online CAT Coaching.


Best CAT Coaching in Chennai


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


Explanatory Answer

We know that Speed = Distance / Time
Since the Speed remains the same when Joseph travels from the diameter and when he travels along the arc of the circular park at 50m/s
Let the time taken to cross the park along the diameter be ‘t’. 48 seconds = 0.8 minutes.
So, \\frac{2 r}{t}=\frac{\Pi r}{t+0.8}) = 50
Solving these two equations we get, t = 1.40
And then the radius can be calculated as r = 25t
=35
So, the diameter is 70m


The answer is '70 metres'

Choice B is the correct answer.

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

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