SSC CHSL 2020 PYQ — Question 72

SSC CHSL - 15th October 2020 - Shift 3 • Quantitative Aptitude • Q72

In ΔXYZ , if G is the centroid and XL is the median with length 18 cm, then the length of XG is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 12 cm.

Understanding/Application

In ΔXYZ, if G is the centroid and XL is the median.

Length of the median XL = 18 cm

Centroid G divides the median XL in the ratio 2: 1.

XG: GL = 2: 1

Length of XG = (2 × XL)/2+1 = (2 × 18)/3 = 12 cm