IIFT 2019 Question Paper | Quants

CAT Questions

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 2019 IIFT, quants were 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 18: Consider this equation: |x-5|² + 5|x-5| - 24 = 0 . The some of all the roots of the above equation is:

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Video Explanation

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Explanatory Answer

Lets say |x – 5| = y, Then the equation can be rewritten as y² + 5y - 24 = 0
(y+8)(y-3)=0
Which means y can be -8 or 3
So, |x – 5| = -8 or 3
We know that modulus function can only have positive values out of it and so -8 cannot be the its value.
Then |x – 5| = 3
x – 5 = -3 or x – 5 = 3

x = 2 or 8
Therefore, the sum is 10

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The question is "Sum of the roots of the equation is:"

Hence, the answer is, "10"

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