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 4 of 19.

Anusha said:   1 decade ago
Given 56Q+29 = X.

1) Where 56 is divisible by 8 gives 0 as remainder and then 29/8 gives 5 as remainder.
(OR)

2) Put 1 or 2 or 3... in place of Q.

For ex Q=1 then,
(56+29)/8 gives remainder 5.

Mounika said:   1 decade ago
Assume the number as x and the quotient is k.

Given that if the number is divided by 56 we get 29 as remainder.

X = (56*k)+29.

= 56k+24+5.

= 8(7k+3)+5.

Therefore if the number is divided by 8 we will get 5 as remainder.

Nirmala said:   2 decades ago
Let k be the quotient, when the number is divided by 56, then

Number = k* 56 + 29

The number can also be expressed as => k * 8 * 7 + 24 + 5

So when it is divided by 8, remainder is ((k*8*7)%8=0) +(24%8=0) + (5%8=5) i.e. 5

Mahesh said:   1 decade ago
If devisor is completely divisible by new divisor then, we shuld divide the remainder.....ie
29 /8 = 5
ans 5

If not divisble answr: can'be determine

If they ask double of number simply do 29+29 =58

58 /5 = remainder is 3

Chandani bhandari said:   8 years ago
A number whrn divided by a certain division, left a remainder of 8. When the same number was multiplied by 12 & then divided by the same divisor, the remainder is 12. How many are such divisors?

Can anyone solve this?

Sayan said:   8 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.
(4)

Ashish kumar said:   1 decade ago
Let X be the number.
According to the formula,
Divisor = dividend-remainder/quotient.

Putting all in formula.
56 = x-29.
x = 85.

Now we got the number therefore dividing it by 8.
We get Remainder as 5 That's the Answer.

Aryan said:   10 years ago
Hi,

Firstly let the number is 'x'. And quotient is k then,

x = 56k + 29 we can write ok the number is same in second cases that is 'x' then now taking 8 as a common so x = 8 (7k + 3) + 5 so 5 is your remainder now.

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.
(21)

Trisaiteja said:   1 decade ago
It's a simple calculation,

If X%56 = 29, then X%8 = ?

Simply add, 56+29=85.Because Take a least +ve integer value.

For(X) that is divisible by 56 and get the remainder is 29.

Now,

8)85(8
80
____
5.


Post your comments here:

Your comments will be displayed after verification.