SSC Selection Post 2023 PYQ — Question 67

SSC Selection Post - Graduation Level - 27 June 2023 - Shift 4 • Quantitative Aptitude • Q67

R and S are the midpoints of the sides XY and XZ, respectively, of ∆XYZ. Also, XR = 15 cm, XY = 25 cm, XS = 12 cm and XZ = 20 cm. RS is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.  35YZ\frac{3}{5} YZ.

XR/XY = XS/XZ = RS/YZ

⇒ RS/YZ = 15/25 = 12/20 = 3/5

⇒ RS = (3/5)YZ