Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In ΔDEF, M and N are the points on sides DE and DF respectively. MN is parallel to EF and MN : EF = 2: 5. If DE = 60 cm, then what is the length of ME ?

Options:

48 cm 

24 cm 

54 cm 

36 cm

Correct Answer:

36 cm

Explanation:

We know that  the ratio of MN to EF is equal to the ratio of DM to DE and also equal to the ratio of DN to DN

So DE = EF = 60

ME = 5x - 2x = 3x

5x = 60

x = 12

3x = ME = 36