# IIFT 2018 Question Paper | Quants

###### IIFT Previous Year Paper | IIFT Quants Questions | Question 3

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 3 : P...........Q
R...........S
T...........U
V..........W
Using 5 dots in each of the lines PQ, RS, TU, and VW as the vertices, how many triangles can be drawn such that the base is on any
one of the above lines?

1. 120
2. 150
3. 200
4. 600

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The base can be drawn in any one of the lines in 5C2 ways = 10 ways
A triangle can be formed by selecting a base and joining the ends of the base with a third point.
No of points left to choose the third point from = 15
Total no of lines = 4
Hence total number of triangles = 10 x 15 x 4 = 600

Choice D is the correct answer.

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