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IIFT 2019 Question Paper | Quants

IIFT Previous Year Paper | IIFT Quants Questions | Question 21

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 21: If X = 8 - sqrt32andY=2+โˆš2then(X+1/Y2 is given by

  1. 1625 x2
  2. 6481 x2
  3. 2516 x2
  4. 8164 x2

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Explanatory Answer

From the given values of y we can find the value of 1/y:
1y = 12+โˆš2 2โˆ’โˆš22โˆ’โˆš2
1y = 2โˆ’โˆš22
And
x = 8 - โˆš32=8โˆ’frac8โˆš2
= 8 (1 - 1โˆš2)
Then (x + 1/y) = 9 (1 - 1โˆš2
x+1y = 98 x
=8164 x2


The question is "If X = 8 - โˆš32andY=2+sqrt2then(X+1/Y2 is given by

Hence, the answer is, "8164 x2"
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