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 Aptitude  |  Question 12 of 40    Print  
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?


  
Total Answers and Comments: 5 Last Update: November 28, 2006   
  
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July 29, 2005 05:29:17   #1  
venkat_cit26@yahoo.com        

RE: In class of 10 students, the teacher writes a number on the board. The first student tells that the ...
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

 
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March 22, 2006 04:34:28   #2  
Ashish Tandon        

RE: In class of 10 students, the teacher writes a numb...

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


 
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May 03, 2006 07:20:13   #3  
nilesh        

RE: In class of 10 students, the teacher writes a numb...

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.


 
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November 28, 2006 06:10:23   #4  
prathyusha        

RE: In class of 10 students, the teacher writes a numb...
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
 
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November 28, 2006 07:02:13   #5  
prathyusha        

RE: In class of 10 students, the teacher writes a numb...
oops im sorry the ans is 360...252 is not divisible by 5 ...
 
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