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Q.

Given, Co-efficient of variation of two data sets are 75% and 90% respectively and their standard deviation are 15 and 18 respectively. If the arithmetic mean of data sets are a and b respectively, then second last non-zero digit of $a^{b}$ will be ____

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answer is 7.

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Detailed Solution

co-efficient of variance $= \frac{σ}{\bar{x}} \times 100 \Rightarrow$ for what series $75 = \frac{15}{\bar{x}} \times 100 \Rightarrow \bar{x} = 20$
For second series $90 = \frac{18}{\bar{x}} \times 100 \Rightarrow \bar{x} = 20$
Thus both series have same mean i.e. 20 and the second last non-zero digit of $20^{20}$ will be 7

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