Question

If 8:2 is greater than 5:$a$, then the value of a is greater than _____.

• A. $\frac{5}{4}$
• B. $\frac{3}{5}$
• C. $\frac{2}{5}$
• D. $\frac{4}{5}$

Answer 1

The correct option is A $\frac{5}{4}$

8:2 and 5:a can be written as $\frac{8}{2}$ and $\frac{5}{a}$ respectively.

As $\frac{8}{2}$ > $\frac{5}{a}$

So, on-cross multiplication of both the fractions, we get
$8\times a$ > $5\times 2$

Hence, a > $\frac{10}{8}$

$⟹$ a > $\frac{5}{4}$