Quantitative Aptitude Ques 1899

Question: The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3rd of the side of the square. What is the side of the square? [SBI (PO) 2012]

Options:

A) 10 cm

B) 20 cm

C) 9 cm

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: E

Solution:

  • Let the side of the square be $ xcm. $

$ \therefore $ Breadth of rectangle $ =\frac{2}{3}xcm $ According to the question, $ 4x^{2}=90\times \frac{2}{3}x $

$ \Rightarrow $ $ 4x=60 $
$ \Rightarrow $ $ x=\frac{60}{4}=15cm $

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