Question

Sushant has a certain number of beads which lie between 600 and 900. if 2 beads are taken away the remainder can be equally divided among 3, 4, 5, 6, 7 or 12 boys. what is the number of beads he has?

Answer 1

it is not clear....that how many boys are here......3,4,5,6
and then it is 7 or 12
or both.
First clear the question.

Answer 2

just multiply all the numbers u wil get
30,240 but it is exceeding the limit so for this we can see 4*3 is 12 and 12 is already there.
so,
we take only one 12 so the answer will be 2,520 but it is also not comming in the limit.

So we know that the answer should ve multiple of 2,520 so one by one multiply it with natural numbers until tthe digit comes in the the given limit so,

2520 * 1 = 2520 (not under the limit)
2520 * 2 = 5040 (not under the limit)
2520 * 3 = 7560 (comes under the limit)

so he had 7560 beads remaining
so intially he had 7560 + 2 = 7562 beads.

:-)