Question

What is
the least number which when
divided by 6,9 , 11 & 12 leaves remainder 5 in each case ?


a) 401
b) 391
c) 396
d) 408​

Answer 1

Answer:

a)401

Step-by-step explanation:

First, we should prime factorize the given numbers:6,9,11,12

6=2x3

9=3²

11=1x11

12=2²x3

LCM=2²x3²x11=396

So, 396 is the least number which is exactly divisible by 6,9,11 and 12.

∴least number which when divided by 6,9,11 and 12 leaves remainder 5 in each case=396+5=401