SSC Selection Post 2020 PYQ — Question 73

SSC Selection Post - Graduation Level 2020 - 10 Nov 2020 - Shift 3 • Quantitative Aptitude • Q73

If △\triangleABC, D is the midpoint of AC, F is a point on AB such that CF bisects BD at E. IF AF = 18 cm, then the length of BF is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 9 cm.

Let P be a point on CF such that FE = EP

BF || PD and FA || PD

BPDF becomes a parallelogram

PD = AF/2 = 18/2 = 9 cm

BF = PD = 9 cm