Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 27)
27.
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
4
5
6
7
Answer: Option
Explanation:

Formula: (Divisor*Quotient) + Remainder = Dividend.

Soln:

(56*Q)+29 = D -------(1)

D%8 = R -------------(2)

From equation(2),

((56*Q)+29)%8 = R.

=> Assume Q = 1.

=> (56+29)%8 = R.

=> 85%8 = R

=> 5 = R.

Discussion:
181 comments Page 1 of 19.

Sayan said:   2 months ago
Find the remainder of the given remainder (29) when divided by the smaller divisor (8):

29÷8=3.
Remainder. 
5.

29 ÷ 8 = 3.
remainder 5.
The remainder when the same number is divided by 8 is directly this value:Answer: 5.
(1)

Ajay said:   8 months ago
Let's make this sum very simple by making a small assumption,
(Since they said the no is divisible by 56 and leaves the remainder 29)

The first no that is divisible by 56 is 56 × 1 = 56.
As they said it leaves the remainder 29.
-->56 + 29 = 85.

Which is divided by 8 so leaves the remainder 5.
Answer:b)5
(19)

Captain Canary said:   4 years ago
Simple unitary method.

If x/56 = x-29 ; then, x/8 = rem?
Sol. (x-29)*x/8 = x/56
Solving the eq, we get x= 29.
Now, divide 29 by 8.
The answer is 5.
(3)

Asmita said:   4 years ago
Let the quotient be k.

Therefore the number will be 56k + 29.
= 8*7k + 8*3 + 5,
= (8*7k+8*3) + 5,
= 8*(7k+3) + 5,

This is in the form of divisor * quotient + remainder.
Therefore the remainder is 5.
Hope it helps.
(20)

Zeba khan said:   4 years ago
Assume the number is 56 + 29 = 85,
85 = 56x1 + 29.

When it is divided by 8,
85/8 = 8x10 + 5,
or 29 = 3x8 + 5,
Hence the remainder is 5.
(12)

Divyesh said:   5 years ago
We can solve this type of question by a simple trick.
We know 56*3=168.
Now add 29 to 168 =197.
Now 197/56 remainder is 29(Because we add 29).
So, now 197/8 remainder is 5.
(2)

Sharifaraya said:   5 years ago
Consider the formula
Dividend=Divisor*Quotient+Remainder.
Here consider Quotient be any number,for example I take 2.
56*2+29=141
141÷8=5
Consider any number in place Quotient you will get Remainder always as 5 by computing those in above said.
(1)

Mainur Rahman said:   6 years ago
56 + 29 = 85 which is divided by 8 we get 5 as remainder.
(9)

Paimon Dkhar said:   6 years ago
In a simple way :

56+29=85.
Here 85/56 we will get 29 as the remainder.
Again;
85/8 we will get 5 as the remainder.
(3)

Baburammca said:   6 years ago
This question is to simple. My solution follows.

Remainder / given number= 29÷8=5.
This method is applicable to this type of question.

For more example
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of this number is divided by 5?
3*3=9.
So 9/5=4.


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