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.

Vinay kumar said:   1 decade ago
As 56 is divisible by 8
So we have remainder 29 when divisible by 56
So 29/8=5

Pravin said:   1 decade ago
Add 29 to 56 then it becoms 85. Then divide it with 8.

We will get the remainder as 5.

Nivendru gavaskar said:   1 decade ago
Simply if any number divided by 56 it means divide by 8 also so only check remainder after divide 29/8 and we will get 5.

Vijay said:   1 decade ago
That number must x* 56 + 29,

Let x=0; num=29 then 8)29(3
24
__
5
If we can putx>0 get reminder is above the given answers

Captain sparrow said:   1 decade ago
Divisor=56 and remainder=29.

So dividend =divisor + remainder i.e. 85.

85/8=leaver remainder 5.

Short cut:.

(Dividend=divisor+ remainder).

Sudha said:   1 decade ago
Smallest no. with remainder 29 and divisible by 56 is:

56*1+29=85

85/8,remainder is 5.

Ankur said:   1 decade ago
Simply divide the remender with the given number ie on dividing 29 with 8 we get the remender 5.

Harish said:   1 decade ago
When we divide no by 56 R = 29

i.e if we add (56 - 29 = 27) 27 to no. then no is divisible by 56

Same as 29/8 = 3 (29 - 24 = 5)

Ans is 5.

Devashish Srivastava said:   1 decade ago
We know that 56 is completely divided by 8, means what ever number divided by 56, 8 can also divide it without remaining any remainder.

We know the remainder which we got during dividing with 56 is 29 ..
Lets see how much more we can solve it by dividing 8.

8)29(3
24
-----
5

We get remainder as 5 .

Thank you.

Sampath said:   1 decade ago
Easily we can say that the same number is divided by 8. The previous remainder is 28. When 28 is divided by 8 the remainder is 5.

Answer is 5.


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