Quantitative Aptitude Ques 966

Question: When x is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of x? [IBPS (PO/MT) 2012]

Options:

A) 8

B) 6

C) 4

D) 5

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

  • $ \frac{9-x}{15-x}=\frac{15-x}{27-x} $

$ \Rightarrow $ $ 243-9x-27x+x^{2}=225-15x-15x+x^{2} $

$ \Rightarrow $ $ 6x=243-225=18 $
$ \Rightarrow $ $ x=3 $

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