Tuesday, January 27, 2009

FARMER-A Sample Question

Anyone who sees this qn answer me........


An old farmer Mohan went to sell his vast quantity of apples at the local market.
When asked how many he had, he replied:
Son, I can't count past 100 but I know that.
If you divide the number of apples by 2 there will be one apple left.
If you divide the number of apples by 3 there will be one apple left.
If you divide the number of apples by 4 there will be one apple left.
If you divide the number of apples by 5 there will be one apple left.
If you divide the number of apples by 6 there will be one apple left.
If you divide the number of apples by 7 there will be one apple left.
If you divide the number of apples by 8 there will be one apple left.
If you divide the number of apples by 9 there will be one apple left.
If you divide the number of apples by 10 there will be one apple left.
Finally. If you divide the Number of apples by 11 there will be NO APPLES left!
How many apples did Mohan have?

2 comments:

sakthivelan said...

Hai jee post some answers ya....
One clue:it uses LCM Method....
Try that number

sakthivelan said...

LCM Of 2,3,4,5,6,7,8,9,10 is 2520.
So the number must be a multiple of 2520+1.
Let it be 2520x+1.
Check with x=1.
The number becomes 2521.
when we divide the number by 2,3,....,10,we would get remainder 1.
But when we divide it by 11,no remainder!
So answer is 2521.I think it is smallest possible answer.if there is more answers.feel free to comment.
Regards
Sakthivelan.E