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Question

The percentage errors in a, b, c are ±1%, ±3% and ±2% respectively. The percentage error in x=ab2c3 can be

A
±13%
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B
±7%
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C
±4%
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D
±1%
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Solution

The correct option is A ±13%
x=ab2c3Δxx=Δaa+2Δbb+3Δcc

Percentage error in

= ± [1+2(3)+3(2)]%=±13%

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