Latest general Aptitude Question SOLUTION: Student of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less. If 4 students are less in a row, there would be 4 more rows. There

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(#M40010637) GENERAL question Keep an EYE

Student of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less. If 4 students are less in a row, there would be 4 more rows. There would be 4 more rows. What is the total number of students in the class?

Asked In general Devendra Marghade (12 years ago)

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SDeep Bhattacharya  (12 years ago)

This is a very simple problem of simultaneous linear equations.

Let R= No. of rows ; S = No. of students in each row.

So, total no. of students = R*S.

Now,ATQ THE 1ST CASE : (S+4)*(R-2)=RS....(1)
ATQ THE 2ND CASE : (S-4)*(R+4)=RS....(2)
Now, simplifying eqn (1) we get , 2R -S =4
and simplifying eqn (2) we get , S-R = 4
Adding both the above simplified eqns we get , R = 8 ; So, S =8+4=12;
S0, total no. of students in the class = R*S = 8*12 =96.

So, the number of students in the class = 96..

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Chirag Ranjan Lahiri  (10 years ago)

Let x be a number of students in a row and y be a number of students in a column. Then the amount of kids is xy.
(x+4)(y-2)=(x-4)(y+4)=xy
xy+4y-2x-8=xy-4y+4x-16=xy
4y-2x-8= -4y+4x-16=0 add two first equations.
2x-24=0
x=12
4y-24-8=0
4y=32
y=8
xy=12*8=96

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