Question 57

If the mean proportional of $$b, c$$ and the $$4^{th}$$ proportional of $$a, b, c$$ are both equal to 8, then $$abc$$ =

Solution

mean proportion of b,c is$$\sqrt{bc\ }=8.$$

or,$$bc=64.$$

And, $$a:b=c:8.$$

then,$$a=\frac{\ bc}{8}=\frac{64\ }{8}=8.$$

So,$$abc=8\times64=2^9.$$

A is correct choice.


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