Multiple Choice Questions on 4 15 of 5 7 of a number is greater than 4 9 of 2 5 of the same number by 8 What is half of that numb........... for DRDO Exam Preparation

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Multiple Choice Questions

4 15 of 5 7 of a number is greater than 4 9 of 2 5 of the same number by 8 What is half of that numb...........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Algebra
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    4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?

    630

    Correct Answer

    63

    Incorrect Answer

    315

    Incorrect Answer

    105

    Incorrect Answer
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    Explanation:

    Let the number be x. Then,
    4/15 of 5x/7 = 4/9 of 2x/5 + 8
    4/15 * 5x/7 = 4/9 * 2x/5 + 8
    4x/21 = 8x/45 + 8
    x/21 = 2x/45 + 2
    x/21 = (2x + 90)/45
    45x = 21(2x + 90)
    45x = 42x + 90*21
    3x = 90*21
    x = 30*21 = 630.

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