Question

If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y, where X and Y are nonzero digits, which of the following is closest to the greatest possible value of 0.1X0.02Y ?

Options:
4
5
6
9
10

Answer 1

(D) 9

Explanation:

X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y

Since we are looking for the greatest possible value of
`(0.1X)/(0.02Y)`

A fraction becomes greater the bigger the numerator and the smaller the denominator.

We take the maximum possible value of X and the minimum possible value of Y.

Let X=9 and Y=1

0.19 X 0.021=9.05

From the options, the one closest is 9.