Home
Class 14
MATHS
What is the least possible number which ...

What is the least possible number which when divided by 2, 3,4,5,6 it leaves the remainders 1,2,3,4,5 respectively ?

Text Solution

Verified by Experts

Since the difference is same as (2 -1) = (3 - 2)= (4 - 3) = ( 5 - 4) = (6 - 5) = 1
Hence the required number = (LCM of 2, 3 , 4 , 5 , 6) - 1 = 60 - 1 = 59.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the least possible number which when divisible by 2, 4, 6 and 8, it leaves the remainder 1, 3, 5 and 7 respectively.

What is the least possible number which when divided by 24, 32 or 42 in each case it leaves the remainder 5?

What is the least possible number which when divided by 21,25,27 and 35 it leaves the remainder 2 in each case ?

What is the least possible number which when divided by 18, 35 or 42 it leaves the 2, 19, 26 as the remainders respectively?

What is the smallest positive integer which when divided by 4, 5, 8, 9 leaves remainders 3, 4, 7, 8 respectively?

What is the least possible number which when divided by 21 , 25 , and 35 in each case it leaves the remainder 2 ?