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 12 of 19.

Anusha said:   1 decade ago
Given 56Q+29 = X.

1) Where 56 is divisible by 8 gives 0 as remainder and then 29/8 gives 5 as remainder.
(OR)

2) Put 1 or 2 or 3... in place of Q.

For ex Q=1 then,
(56+29)/8 gives remainder 5.

Shivanand k said:   1 decade ago
Consider the number is 29.

If you divide 29/56 you will get 29 remainder.

So 29/8 yields 5 remainder.

Anil said:   1 decade ago
Friends, any number divided by 56 and remainder is 29, same number divided by 8, so 56/8=7, 7 is common multiplier now 29 is not divided by 7(:.7*4=28 ) but next is 7*5=35 So 5 is answer.

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

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

Jyoti shanker said:   1 decade ago
Consider the quotient as 1. And solve 56*1+29=85. Now divide 85 by 8 remainder is 5.

Prateek said:   1 decade ago
If you want to get remainder as 29 when a number is divided by 56, take the simplest number which does that..(56+29=85). 85/29 gives 29 as remainder. Now divide 85 by 8. Remainder is 5.

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.

Saikrishna said:   1 decade ago
56*29=1624 add 29 to get remainder 29 i.e. 1653 now divide it the remainder will be 29, simple and now divide by 8 we get remainder 5.

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

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

So remainder = 5 and B.

Ammu said:   1 decade ago
x/56 = 29;

56 is divisible by 8. So take 29.
29/8 = 5.

i.e..answer = 5.


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