# IIFT 2018 Question Paper | Quants

###### IIFT Previous Year Paper | IIFT Quants Questions | Question 4

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 4 : In the triangle PQR, S is the midpoint of QR. X is any point on PR. T is the point on QR such that PT || SX. If the area of triangle PQR is 5.8 sq. cm. then the area of triangle RTX is

1. 2.9 sq. cm
2. 3.2 sq. cm
3. 5.8 sq. cm
4. 2.45 sq. cm

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S is the midpoint of QR
Area of PSR = 1/2 x Area of triangle PQR [ median divides the triangle into two equal parts]
= 1/2 x 5.8 = 2.9
PT || SX
Area of triangle PSR = area of triangle PSX + area of triangle XSR
= area of triangle TSX + area of triangle XSR [triangles with vertices between two parallel lines have equal areas]
= area of triangle RTX = 2.9 sq cm

The question is " In the triangle PQR, S is the midpoint of QR. X is any point on PR. T is the point on QR such that PT || SX. If the area of triangle PQR is 5.8 sq. cm. then the area of triangle RTX is "

##### Hence, the answer is '2.9 sq. cm'

Choice A is the correct answer.

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