Question 19

If $$P = 2^{29}\times3^{21} \times 5^8,Q = 2^{27} \times 3^{21} \times 5^8, R = 2^{26} \times 3^{22} \times 5^8$$ and $$S = 2^{25} \times 3^{22} \times 5^9$$, then which of the following is TRUE?

Solution

Let say, $$M=2^{25}\times3^{21}\times5^8.$$

So, by rearranging above equation ,we can say that :

$$P=2^4\times M=16M.$$

$$Q=2^2\times M=4M.$$

$$R=2\times3\times M=6M.$$

$$S=3\times5\times M=15M.$$

So, $$P > S > R > Q$$.

A is correct choice.

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