Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a triangle PQR, XZ is parallel to QR, where X and Z are points on PQ and PR, respectively and PX = 3.5 cm, XQ = 7 cm and PZ = 2.5 cm, the length of ZR is?

Options:

6

10.5

5

4.5

Correct Answer:

5

Explanation:

\(\Delta \)PXZ ∼ \(\Delta \)PQR

\(\frac{PX}{XQ}\) = \(\frac{PZ}{ZR}\)

\(\frac{3.5}{7}\) = \(\frac{2.5}{ZR}\)

ZR = 5