Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔPQR, MN is parallel to QR, PM = 2.7 cm, PM = 4.5 cm and PR = 20 cm, then the value of QM in centimeters is?

Options:

31.1 cm

93 cm

120 cm

15.5 cm

Correct Answer:

93 cm

Explanation:

by Basic proportionality theorem:

ΔPQR ∼ ΔPMN

\(\frac{PM}{MQ}\) = \(\frac{PM}{NR}\)

\(\frac{27}{MQ}\) = \(\frac{4.5}{15.5}\)

MQ = 93 cm