Question

I have a few sweets to be distributed. If I keep 2 or 3 or 4 in a pack, I am left with 1 sweet. if I keep 5 in a pack, I am left with none, What is the minimum number of sweets I have pack and distribute ?
1. 54
2. 65
3. 37
4. 25

Answer 1

Correct Answer - Option 4 : 25

If I keep 2 or 3 or 4 in a pack, 

LCM of 2, 3, and 4 = 12

Then, the minimum number of sweets could be 12 + 1 = 13 so that 1 sweet left after packing.

But, if I keep 5 in a pack, I am left with none, (13 is not divisible by 5) then we have to take, 

12 × 2 = 24 

We have to add one so that 1 sweet left after packing in 2 or 3 or 4 groups and when in group of 5 then no sweets left. Therefore,

Total minimum sweets = 24 + 1 = 25 (25 is divisible by 5).

Hence, 25 is the correct answer.