# Number Puzzle #70

Its a number.

Divided by 2 the balance should be 1,

by 3 bal 2,

by 4 bal 3,

by 5 bal 4,

by 6 bal 5,

by 7 bal 0,

by 8 bal 7.

Find the number? Understand it properly before answering.

Check your answer:-

Click here to See Solutionhere balance means remainder

in order to solve we know that it should be a perfect multiple of 7 (As the remainder is 0). also we can see that it should end wither with 4 or 9 (since remainder is 4 when divided by 5), we can further remove 4 since remainder should be 1 when divided by 2 (it should be odd number).

now lets list multiples of 7 ending with 9

49 (7×7), 119(17×7), 189(27×7), 259(37×7)

49 is ruled out since remainder is 1 when divided by 8

if you see 119 it satisfied all the condition

119%8 -> 7

119%6 -> 5

119%4 -> 3

119%3 -> 2

Rajesh Mishra says

119