Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

The product of two numbers is 6845, if the HCF of the number is 37, then the greater number is:

Options:

111

37

148

185

Correct Answer:

185

Explanation:

The numbers are 37x and 37y

 L.C.M × H.C.F = product of two numbers

⇒ L.C.M × 37 = 6845

⇒ L.C.M = 185

⇒ 37xy = 185

⇒ xy = 5

So, x = 1, y = 5 or x = 5, y = 1

⇒ The greater number is 37 × 5

∴ Greater Number = 185