A) 5%
B) 4.5%
C) 8%
D) 7.75%
Correct Answer: A
Solution :
[a] Given: \[Q={{x}^{2/5}}{{y}^{-1}}{{t}^{-1/2}}{{z}^{3}}\] \[\therefore \,\,\,\frac{\Delta Q}{Q}\times 100\] \[=\frac{2}{5}\frac{\Delta x}{x}\times 100+\frac{\Delta y}{y}\times 100\] \[+\frac{1}{2}\frac{\Delta t}{t}\times 100+3\frac{\Delta z}{z}\times 100\] \[=\frac{2}{5}\times 2.5+2+\frac{1}{2}\times 1+3\times 0.5=5%\]
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