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Q.

If X=A3B−2C5D32 and percentage errors in A, B, C and D are 2%, 4%, 1% and 8% respectively, the percentage error in X is

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a

10%

b

31%

c

15%

d

13%

answer is B.

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Detailed Solution

Δxx×100=3ΔAA×100+2ΔBB×100+5ΔCC×100+32ΔDD×100                     =3×2+2×4+5×1+32×8=6+8+5+12=31%
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