SSC Selection Post 2024 PYQ — Question 66

SSC Selection Post - Higher Secondary Level - 24 June 2024 - Shift 2 • Quantitative Aptitude • Q66

In ΔABC, D is the midpoint of BC and G is the centroid. If GD = 10 cm, then the length
of AD is _________.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 30 cm.

In a triangle, the centroid (G) divides the median (AD) in the ratio 2 : 1 = 2x : 1x

According to the question,

⇒ 1x = 10

Length od AD = 2x + 1x = 3x = 30 cm