SSC CHSL 2023 PYQ — Question 73

SSC CHSL - 08 Aug 2023 - Shift 1 • Quantitative Aptitude • Q73

In triangle MNO , AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2 find the value of BO.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 6.6.

According to the given question,

Let the side BO is equal to x.

In the above figure, triangle MNO is similar to triangle MAB,

MAMN=MBMO{MA \over MN} = {MB \over MO}

⇒ 2.510=2.2(2.2+x){2.5 \over 10} = {2.2 \over (2.2 + x)}

⇒ 2.5(2.2 + x) = 22

⇒ 5.5 + 2.5x = 22

⇒ 2.5x = 16.5

⇒ x = 6.6