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 18 of 19.

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

Sachin said:   1 decade ago
If divisor is completely divisible by new divisor then, we should devide the remainder.

29/8 = remainder is 5.

so, ans would be 5.

Ramy said:   1 decade ago
Bhavna is right.

Radhika said:   1 decade ago
Thanks Ramesh. Its easiest method.

Baskaran E said:   1 decade ago
Let N be the no.
Then N = 56q + 29
=> N/8 = 7q + 29/8
Hence, N/8 = 7q + 3 + 5/8
Thus the remainder is 5...

Paul said:   1 decade ago
Ramesh is right

Ramesh said:   1 decade ago
8)29(3
24
-----
5
Remainder is 5

Nikhil said:   1 decade ago
Thanks bhuvan.

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

Bhuvana said:   1 decade ago
Number = k*56 + 29;

Number = (k*56 + 24) + 5;

Number = 8(7k + 3) + 5;

Hence when divided by 8,rem is 5


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