Question

10.Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder? a. 3586 b. 3756 c. 3786 d. 4786

Answer 1

Answer:

Step-by-step explanation:

what we should find here is lcm of these 3 no.s and then add 6 to it

lcm of 12,35 and 27

12=3*2*2

27=3*3*3

35=5*7

hence the lcm is  3780

thus the no is 3780+6=3786

hence the option is c.

hope it helps you

Answer 2

The least number is 3,786. (Option c)

Given:

The number is divided by 12, 27, and 35

Remainder=6

To find:

The number

Solution:

We can obtain the required number by taking the LCM of 12, 27, and 35 and adding the remainder to it.

The factors of the numbers 12, 27, and 35 are as follows-

12=2×2×3

27=3×3×3

35=5×7

The LCM of these terms =2×2×3×3×3×5×7

=3,780

Now, the number leaves 6 as the remainder.

So, the required number=LCM+remainder

=3,780+6

=3,786

Therefore, the least number is 3,786.

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