In class of 10 students, the teacher writes a number on the board. The first student tells that the number is divisible by 1, the second student tells that the number is divisible by 2, the third by 3, the forth by 4 and so on till 10. If the statement of one of the students in wrong then what is the least number possible?

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Interview Candidate
Jul 29th, 2005
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venkat_cit26@yahoo.com

Jul 29th, 2005

ASSUME THE NUMBER IS NOT DIVISIBLE BY 10 .. That is the last student is wrong
Then considering the least number that is divisible by 1, 2, 3, 4
12 is the least number then

Ashish Tandon

Mar 22nd, 2006

First we are taking the l.c.m of 1-10. the result is 2520.
then being the highest prime number 7.
we will divide 2520 by 7. the result will be 360.
which is the least number divisible by all numbers 1-10 other than 7

nilesh

May 3rd, 2006

The correct answer is 360.
We will take the LCM 1st of all the number 1 to 10 except(7,which is the prime number).we can see that the result we will get will divide exactly by all the number except 7.

prathyusha

Nov 28th, 2006

the answer is 252.The ques is about least poss num.lcm is 2520.Let us assume 10 is the taken out.so 2520/10 is 252,which is the least poss num