If p : q = 1 : 2, what is the value of (2p + 3q)/(4p+5q)?

If p : q = 1 : 2, what is the value of $\frac{2p + 3q}{4p+5q}?$

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. $\frac{4}{7}$ .

⇒ p : q = 1 : 2

⇒ p/q = 1/2

The value of $\frac{2p + 3q}{4p+5q}$ = $\frac{2\times 1 + 3\times 2}{4\times1+5\times2}$

⇒ $\frac{2 + 6}{4+10}$ = $\frac{8}{14}$ = 4/7

SSC GD 2023 PYQ — Question 45