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 $
BETA
