Confusing Lost Chocolates Puzzle

Confusing Lost Chocolates Puzzle


Alex bought 150 chocolates but he misplaced some of them. 
His mother asked him how many chocolates were misplaced and he gave the following answer to her:

If you count in pairs, one remain

If you count in threes, two remain

If you count in fours, three remain

If you count in fives, four remain

If you count in sixes, five remain

If you count in sevens, no chocolate remain.

Can you analyze the statements and tell us how many chocolates were lost?




Solution :  119

Explanation:
Number Should be
1) Number will be < 150
2) It Should be divisible by 7, So only no chocolate remains.
3) It should satisfies below condition

If you count in pairs, one remain
If you count in threes, two remain
If you count in fours, three remain
If you count in fives, four remain
If you count in sixes, five remain

Hence 119 Satisfies all above condition.