Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 12)
12.
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Answer: Option
Explanation:
Let total number of children be x.
| Then, x x | 1 | x = | x | x 16  x = 64. |
| 8 | 2 |
 Number of notebooks = |
1 | x2 = |  |
1 | x 64 x 64 |  |
= 512. |
| 8 | 8 |
Discussion:
42 comments Page 4 of 5.
Joe said:
1 decade ago
@Sanat - Please read the question carefully. @Puja - Thanks.
T.b said:
1 decade ago
Heya..
here we will calculate the total no. of buks in 1st condtion and den in 2nd condition and eqate dem..
acc. to 1st condition,
Total no. of buks= no. of buks to 1 student have * no.of student
let no. of students= x
no. of buks 1 student have= 1/8*x
hence total no. of buks=(1/8*x)*x ............(1)
acc. to 2nd condition,
no. of students=x/2
no. of buks 1 student have=16
hence total no. of buks=(x/2)*16 .............(2)
nw from (1)&(2) equation,
(1/8*x)*x=(x/2)*16
on solving we get x=64
nw you can calculate total no. of buks from any 1 or 2nd equation
frm 1st equation
total no. of buks=(1/8*x)*x
=(1/8*64)*64
=512
here we will calculate the total no. of buks in 1st condtion and den in 2nd condition and eqate dem..
acc. to 1st condition,
Total no. of buks= no. of buks to 1 student have * no.of student
let no. of students= x
no. of buks 1 student have= 1/8*x
hence total no. of buks=(1/8*x)*x ............(1)
acc. to 2nd condition,
no. of students=x/2
no. of buks 1 student have=16
hence total no. of buks=(x/2)*16 .............(2)
nw from (1)&(2) equation,
(1/8*x)*x=(x/2)*16
on solving we get x=64
nw you can calculate total no. of buks from any 1 or 2nd equation
frm 1st equation
total no. of buks=(1/8*x)*x
=(1/8*64)*64
=512
Saranya said:
1 decade ago
Nice explanation puja.
Sanat said:
1 decade ago
@Puja.
You have simply told about the logic. It is simple, but You haven' t told why we equate them? why the total no of books in 2 cases will be same. ?
You have simply told about the logic. It is simple, but You haven' t told why we equate them? why the total no of books in 2 cases will be same. ?
Santhosh said:
1 decade ago
Thanks puja :).
Adarsha said:
1 decade ago
Thanks puja for the logic.
Puja Dhamija said:
1 decade ago
heya..
here v vil calculate the total no. of buks in 1st condtion and den in 2nd condition and eqate dem..
acc. to 1st condition,
Total no. of buks= no. of buks to 1 student have * no.of student
let no. of students= x
no. of buks 1 student have= 1/8*x
hence total no. of buks=(1/8*x)*x ............(1)
acc. to 2nd condition,
no. of students=x/2
no. of buks 1 student have=16
hence total no. of buks=(x/2)*16 .............(2)
nw from (1)&(2) equation,
(1/8*x)*x=(x/2)*16
on solving we get x=64
nw you can calculate total no. of buks from any 1 or 2nd equation
frm 1st equation
total no. of buks=(1/8*x)*x
=(1/8*64)*64
=512
thnks..I hope now every1 can get logic..!!
here v vil calculate the total no. of buks in 1st condtion and den in 2nd condition and eqate dem..
acc. to 1st condition,
Total no. of buks= no. of buks to 1 student have * no.of student
let no. of students= x
no. of buks 1 student have= 1/8*x
hence total no. of buks=(1/8*x)*x ............(1)
acc. to 2nd condition,
no. of students=x/2
no. of buks 1 student have=16
hence total no. of buks=(x/2)*16 .............(2)
nw from (1)&(2) equation,
(1/8*x)*x=(x/2)*16
on solving we get x=64
nw you can calculate total no. of buks from any 1 or 2nd equation
frm 1st equation
total no. of buks=(1/8*x)*x
=(1/8*64)*64
=512
thnks..I hope now every1 can get logic..!!
Naddy said:
1 decade ago
i have a simple way,no need any steps only logic.
first thing is the should can equally distribute.and second one is it should be divisible by8 because every child got 1/8 th of the total children. so in these option 512 is divisible by 8 and can equally distribute 512/8=64
first thing is the should can equally distribute.and second one is it should be divisible by8 because every child got 1/8 th of the total children. so in these option 512 is divisible by 8 and can equally distribute 512/8=64
J k said:
1 decade ago
why (1/8)*x^2
why x^2
x is no. of children and total books is 1/8 no. of children
why x^2
x is no. of children and total books is 1/8 no. of children
Priya P. said:
1 decade ago
@ Renu
x = number of student and x/2 is half of the total student as mention in question.
x/2 is multiplied with 16 bcoz its given if students number is half then each one will get 16.
hope it helps..
x = number of student and x/2 is half of the total student as mention in question.
x/2 is multiplied with 16 bcoz its given if students number is half then each one will get 16.
hope it helps..
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