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 Aptitude  |  Question 13 of 26    Print  
All the children were arranged in rows. All the rows containing equal number of students.
If 4 students were removed from each row 10 more rows had to be added.  If 5 students
were added in each row number of rows were reduced by 8. Find the number of children.

A. 400
B. 500
C. 700
D. 800

D




  
Total Answers and Comments: 4 Last Update: January 11, 2007   
  
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November 15, 2005 23:03:07   #1  
geekraji Member Since: November 2005   Contribution: 1    

RE: All the children were arranged in rows. All the ro...
Question: All the children were arranged in rows. All the rows containing equal number of students.
If 4 students were removed from each row 10 more rows had to be added. If 5 students
were added in each row number of rows were reduced by 8. Find the number of children

 
Is this answer useful? Yes | No
April 15, 2006 12:26:39   #2  
ganeshprabu        

RE: All the children were arranged in rows. All the ro...

hi

can u post all the solutions to the querys which will b useful 4 us


 
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May 01, 2006 12:15:42   #3  
infor Member Since: May 2006   Contribution: 4    

RE: All the children were arranged in rows. All the ro...

Lets assume we have X Col and Y rows. So now total childrenwill be XY. so we have two equations here 1. (x-4)(y+10) and (x+5)(y-8) and both are equal. as the number of children are same. So if equate these eqns. we get y 2x. now substitute each of options eg. xy 800 and then substuting y 2x we get 2x to the power 2 800 which means x 20 and y 40.For all pther options we dot get exact square root.

SK


 
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January 11, 2007 14:57:13   #4  
ubron        

RE: All the children were arranged in rows. All the ro...
Adding on to what infor said above. there are two equations (x-4)(y+10) xy and (x+5)(y-8) xy. The simplified form of these two equations are 10x-4y 40 and 8x-5y -40. Solving these two equations we get x 20 and y 40.So therefore the no of students are xy(20*40) ie 800(D).

 
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