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 16 of 19.

Sachin Garg said:   10 years ago
56k + 29.

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

8(7k+3) + 5.

Remainder will be 5.

Munish said:   1 decade ago
x = 56*y + 29.

= 7*8*y + 3*8 + 5.

The remainder is 5 ie (B).

Chirag renapara said:   1 decade ago
29 is divide by 8, So remainder we get 5 which is our answer.

Raci said:   1 decade ago
x = 56*y + 29.

= 7*8*y + 3*8 + 5.

So remainder = 5 and B.

Sukesh said:   10 years ago
What @Ramesh said is absolutely correct it saves more time.

Ravi Babar said:   8 years ago
When 10 power 128 is divided by 11 the remainder would be?

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

Jeevan chandra tiwari said:   10 years ago
Its easy one divide remainder by number.

i.e 29%8 = 5.

Rahul said:   1 decade ago
x = 56*y + 29

= 7*8*y + 3*8 + 5

The remainder is 5

Aarchi said:   10 years ago
x%56=29.

(x-29) %56=0.
(x-29) %8=0.

x%8=29%8.
X=5.


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