SSC Selection Post 2023 PYQ — Question 61

SSC Selection Post - Graduation Level - 27 June 2023 - Shift 4 • Quantitative Aptitude • Q61

In ΔABC, D and F are the middle points of the sides AB and AC, respectively. E is a point on the segment DF such that DE : EF = 1 : 2. If DE = 4 cm, then BC is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 24 cm.

DE : EF = 1 : 2

DE = 4 cm

So, EF = 8 cm

DF = 4 + 8 = 12 cm

BC = 2DF = 2 × 12 = 24 cm