Question

What can be the value of x if, $\frac{5}{8}<\frac{5}{x}$.

• A. 9
• B. 50
• C. 11
• D. 7

Answer 1

The correct option is D 7

$\underset{–}{ConceptInvolved}$:
When two fractions have the same numerators, then the largest fraction is the one with the smallest denominator.

$\underset{–}{Method}$:
Given, order of fractions: $\frac{5}{8}<\frac{5}{x}$. This order is possible only when the value of x is less than 8

From the given options, 7 is a possible value of x because the other numbers are greater than 8.

$\frac{5}{8}<\frac{5}{7}\Rightarrow 7<8\left(\text{Order of denominators}\right)$.

Therefore, the value of x should be 7.