SATHEE: Quantitative Aptitude Ques 2394

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 $

Quantitative Aptitude Ques 2393

Quantitative Aptitude Ques 2395

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