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 15 : At the foot of the mountain, the angle of elevation of the summit at the top of the mountain is 45°. After ascending 100 metres, at a slope of 30° up the mountain towards the summit. the angle of elevation of the summit is 60°. Find the height of the summit.

1. 50 (\\sqrt{3}+1))metres
2. 50 (\\sqrt{5}+1))metres
3. 50 (\\sqrt{3}+2))metres
4. 50 \\sqrt{3})metres

Explanatory Answer

Let AB =x
AB/BC = tan 45
= > BC=x
OC = 100
CD/OC = cos 30 and OD/OC = sin 30
CD = 50√3 and OD = 50
Hence AE = x – 50 and EO = x -50√3
AE/EO =tan 60
Putting in the values and solving for x, we get x = 50(√3 + 1)

The answer is '50 (\\sqrt{3}+1))metres'

Choice A is the correct answer.