IIFT 2018 Question Paper | Quants

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

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.

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