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 10 of 19.

Saravanan said:   1 decade ago
Divisible 56 is divided by 8 without reminder.

So we take remainder 29 was divided by 8 is 3*8 are 24 and the remainder is 5.

Gsangeetha said:   1 decade ago
If the 2nd divisor is a factor of 1st divisor, then divide the 1st remainder by the 2nd divisor. This is the correct answer.

Savi said:   1 decade ago
You take a number like 5853 which is divisible by 56 and remainder is 29 after that this no. Divided by 8 and answer. Is 5.

THALLURI SATISH said:   1 decade ago
x%56 = 29;

x%8 = ?

We know 56 is divisible by 8 exactly.

So we will divide the number 29/8 = 5.

So we get remainder 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.

Suman said:   1 decade ago
We know 56 is divisible by 8,
so a number divisible by 56, remainder is 29,
then 29/8, we got 5 remainder.
so ans is: 5

Rahul said:   1 decade ago
Let number be : 56*1+29=85.

When 85 divided by 8. Remainder is 5.

Similarly,
56*2+29=141.

141/8, gives 5 remainder.

Kavitha said:   1 decade ago
Let x be the number & why be the quotient. Then,

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

So, remainder is 5.

Bhuvana said:   9 years ago
According to question,

56 * Q + 29 = N.
Assume Q as 1, then 56 * 1 + 29 = 85,
We get N = 85,
85/8 leaves remainder 5.

Paimon Dkhar said:   7 years ago
In a simple way :

56+29=85.
Here 85/56 we will get 29 as the remainder.
Again;
85/8 we will get 5 as the remainder.
(4)


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