SATHEE: Quantitative Aptitude Ques 632

Quantitative Aptitude Ques 632

Question: If $ {2^{2x-y}}=16 $ and $ {2^{x+y}}=32, $ then the value of $ xy $ is

Options:

A) 2

B) 6

C) 4

D) 8

Show Answer

Answer:

Correct Answer: B

Solution:

$ {2^{2x-y}}=16=2^{4} $

$ \Rightarrow $ $ 2x-y=4 $

$ \Rightarrow $ $ {2^{x+y}}=32=2^{5} $

$ \Rightarrow $ $ x+y=5 $ Solving for $ x $ and $ y, $ $ 3x=9 $
$ \Rightarrow $ $ x=3 $ and $ y=2 $

$ \therefore $ $ xy=6 $

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Quantitative Aptitude Ques 632

Question: If $ {2^{2x-y}}=16 $ and $ {2^{x+y}}=32, $ then the value of $ xy $ is

Options:

Answer:

Solution:

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