Quantitative Aptitude Ques 151

Question: Directions: What approximate value is come in place of question mark (?) in the given questions? (You are not expected to calculate the exact value.) [NICL (AO) 2014]

$ {{(?)}^{2}}+{{(79)}^{2}}={{(172)}^{2}}-{{(88)}^{2}}-8203 $

Options:

A) 86

B) 89

C) 83

D) 81

E) 87

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ {{(?)}^{2}}+{{(79)}^{2}}={{(172)}^{2}}-{{(88)}^{2}}-8203 $

$ \Rightarrow $ $ {{(?)}^{2}}+6241=29584-7744-8203 $

$ \Rightarrow $ $ {{(?)}^{2}}=29584-15947-6241 $

$ \Rightarrow $ $ {{(?)}^{2}}=7396 $

$ \Rightarrow $ $ ?=86 $

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