Multiple Choice Questions on In measuring the sides of a rectangle one side is taken 10 in excess and the other 5 in deficit What........... for CDS Exam Preparation

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Multiple Choice Questions

In measuring the sides of a rectangle one side is taken 10 in excess and the other 5 in deficit What...........

Quantitative Aptitude (CDS) Mensuration 2D
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    In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 5% in deficit. What is the error percent in the area calculated from these measurements?

    5%

    Incorrect Answer

    6%

    Incorrect Answer

    4.5%

    Correct Answer

    5.5%

    Incorrect Answer
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    Explanation:

    Let x and y be the sides of the rectangle. Then, correct area= xy.

    Calculated area = (110/100x) × (95/100y) = (209/200)xy

    Error in measurement = (209/200xy)-xy = 9/200xy.

    Error% = ((xy 9/200 )/xy ×100)%

    = 9/2% = 4.5%

    By: bhavesh kumar singh
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