Multiple Choice Questions on If 4a 7b 4c 7d 4a 7b 4c 7d then which one of the following is correct ........ for CDS Exam Preparation

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Multiple Choice Questions

If 4a 7b 4c 7d 4a 7b 4c 7d then which one of the following is correct ........

Quantitative Aptitude (CDS) Simplification
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    If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

    a/b = c/d

    Incorrect Answer

    a/d = c/b

    Incorrect Answer

    a/b = d/c

    Correct Answer

    4a/7b = c/d

    Incorrect Answer
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    Explanation:

    (4a+7b)(4c-7d) = (4a-7b)(4c+7d)
    (4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)
    Using componendo and dividendo
    (4a+7b)+(4a-7b) / (4a+7b)-(4a-7b) = (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)
    Or 8a/14b = 8c/14d
    Or a/b = c/d

    By: Munesh Kumari
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