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SSC CHSL Model Paper 2

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Question : 58 of 100

Marks: +1, -0

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

2%
2.02%
4%
4.04%

Solution:

100 cm is read as 102 cm.

⇒

A_1 = (100 \times 100) \text{ cm}^2

and

A_2 (102 \times 102) \text{ cm}^2

(A_2 - A_1) = \left[ (102)^2 - (100)^2 \right]

= (102 + 100) \times (102 - 100)

= 404 \text{ cm}^2

Percentage error

= \frac{404 \times 100}{100 \times 100} = 4.04\%

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