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 13 of 19.

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

Ashutosh mishra said:   1 decade ago
Remainder by 56=29
56/8 leaves 0 as remainder
So, 29/8 leaves 5 as remainder
hence answer is 5

Sai said:   1 decade ago
2nd remainder=1st reminder/2nd divisor.

That means 2nd remainder=29/8, so 5 is the remainder.

Jordan said:   1 decade ago
First we do 56+29=85.

And 1 is quotient. Then 85 is divided by 8 then we get 5 as reminder.

Hanumesh said:   1 decade ago
56)x(y
-
Reminder = 29.

x = 56y+29.
x = 8*7y+8*3+5.
= 8(7y+3)+5.

Hence reminder is 5.

Honey said:   1 decade ago
Please let me know the easiest way to solve the question friends. Type your ans in comment.

Anika said:   8 years ago
Guys is there any method by which we can also find the no. With which 56 is to be divided?

Priya Verma said:   1 decade ago
56k+29 = x.
8k+y = x.
56%8 = 7, 29%8=3 and remainder is 5.

(8+7k)+(8*3)+5.
8(7k+3)+5.
5.

Vikas said:   1 decade ago
Very easy.
Let 1 be the quotient.

i.e. 56+29 = 85.
Divide 85 by 8.

Remainder will be 5.

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

56*1+29=85

85/8,remainder is 5.


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