Quantitative Aptitude Ques 2394
Question: The breadth of a rectangular hall is three-fourths of its length. If the area of the floor is $ 768m^{2}, $ then the difference between the length and breadth of the hall is
Options:
A) 8 m
B) 12
C) 24 m
D) 32 m
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the length of the rectangular hall be x. Then, breadth of the hall $ =\frac{3}{4}x $ Area = Length $ \times $ Breadth
$ \Rightarrow $ $ 768=\frac{3}{4}x\times x $
$ \Rightarrow $ $ 768=\frac{3x^{2}}{4} $
$ \Rightarrow $ $ 3x^{2}=768\times 4 $
$ \Rightarrow $ $ x^{2}=\frac{768\times 4}{3} $
$ \Rightarrow $ $ x^{2}=256\times 4 $
$ \Rightarrow $ $ x=32 $
$ \therefore $ Breadth $ =\frac{3}{4}\times 32=24 $
$ \therefore $ Difference $ =32-24=8,m $
BETA
