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 2 of 5.
Babi said:
9 years ago
Let, total no of students = x,
books allotted to each is = x/8,
Total no of books is = x * x/8 = x^2/8.
Now, is total students is halved i.e = x/2.
Books will be allotted to each is = (x/2)/8 = x/16.
Which is given = 16.
x/16 = 16
x = 256 ---> (i).
Now, the total number of books = (x^2)/8.
Putting the value of x gives 8192.
Correct me guys. if I am wrong.
books allotted to each is = x/8,
Total no of books is = x * x/8 = x^2/8.
Now, is total students is halved i.e = x/2.
Books will be allotted to each is = (x/2)/8 = x/16.
Which is given = 16.
x/16 = 16
x = 256 ---> (i).
Now, the total number of books = (x^2)/8.
Putting the value of x gives 8192.
Correct me guys. if I am wrong.
Sandeep said:
9 years ago
Thanks @Salil.
Viswa said:
9 years ago
@Swapna.
Thanks for the simple way of solution.
Thanks for the simple way of solution.
Surya said:
8 years ago
@ALL.
Each student has 16 books i.e total students are 16*8=128
It is said students are halved i.e we to double it 2*126=256>> actual number of students.
Each student gets books equal to 1/8 of total class strength 256/8=32>> actual number of books each student gets.
Total books distributed are 32*256=8192.
Tell me if I am wrong.
Each student has 16 books i.e total students are 16*8=128
It is said students are halved i.e we to double it 2*126=256>> actual number of students.
Each student gets books equal to 1/8 of total class strength 256/8=32>> actual number of books each student gets.
Total books distributed are 32*256=8192.
Tell me if I am wrong.
Ramjay said:
8 years ago
Here we should understand that total number of books is constant in both conditions. Let total no. Of student is X and therefore total.
No of notebook is X * X/8= X/2 * 16.
Here X=64.
Here we get total no of the student.
Therefore total no of note book is 64 ÷ 64/8= 512.
No of notebook is X * X/8= X/2 * 16.
Here X=64.
Here we get total no of the student.
Therefore total no of note book is 64 ÷ 64/8= 512.
Vivek said:
7 years ago
Thanks everyone for giving the explanation.
Rajiv said:
7 years ago
@All.
As per my calculation;
x is no of students.
16*2= no of books per student in the whole class.
32=x/8.
x=32*8.
Total no of books= x* x/8.
= 32 * 8 * 32 * 8 /8.
=1024*8.
=8192.
As per my calculation;
x is no of students.
16*2= no of books per student in the whole class.
32=x/8.
x=32*8.
Total no of books= x* x/8.
= 32 * 8 * 32 * 8 /8.
=1024*8.
=8192.
Nikita said:
7 years ago
Thank you @Salil.
Jay negi said:
9 years ago
512/ 16 = 32.
It 's half of the total no. 32 * 2=64.
512/64 = 8 it's dived to total no of children & 64 * 1/8.
It 's half of the total no. 32 * 2=64.
512/64 = 8 it's dived to total no of children & 64 * 1/8.
Anonymous said:
4 years ago
Can someone explain how 64 was obtained after solving the equation?
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