Quantitative Aptitude Ques 1056

Question: $ \Delta PQR $ and $ \Delta ,LMN $ are similar. If $ 3PQ=LM $ and $ MN=9cm, $ then QR is equal to

Options:

A) 3 cm

B) 6 cm

C) 9 cm

D) 12 cm

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] $ \Delta PQR\sim \Delta LMN $
    $ \therefore $ All sides are proportional to their corresponding sides. $ \frac{PQ}{LM}=\frac{1}{3}, $ $ MN=9,cm $
    $ \therefore $ $ QR=\frac{1}{3}\times 9=3,cm $
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