Find the least number which when divided

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

Find the least number which when divided by 5, 8, 11, 15 and 18 leaves the same remainder 7 in each case.

Options:

3569

3987

3967

4089

Correct Answer:

3967

Explanation:

Required number must be the L.C.M of 5, 8, 11, 15 and 18 with an addition of 7.

Now,

L.C.M. of 5, 8, 11, 15 and 18 = 3960

So, required number = (3960 + 7)

⇒ 3967