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 14 of 19.

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.

Sanjay said:   1 decade ago
Let the number is divided by 56 be x.

Now x = 56 x Quotient (=1) + 29

x = 85.

85/8 = Remainder (5)

Sumita said:   1 decade ago
Divisor*Quotient + Remainder = dividend.

Let the quotient be x.

Dividend = 56x + 29.

Divide 56 into the factors of 8.

Dividend = (8*7)x + 29.

Dividend = (8*7)x + 8*3 + 5 = 8 (7x + 3) + 5.

Hence 8 is the divisor, (7x + 3) is quotient and 5 is 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.

Rinki said:   1 decade ago
(29+x)/8 = N.

Where N is natural number and put x values are 1 2 3 4 5.

Then x least value is your answer.

JOHNHARRY said:   1 decade ago
56 is divided by 8 completely.
So remainder divided by 8(29/8) = 5.
Simple.

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.

Sumit tiwari said:   1 decade ago
N = 56K+29.
Put K = 1.
Then N = 85.

85 is divided by 8 we got 5.
So answer is 5.

Anil said:   1 decade ago
When 29 is divided divided by 8 we get quotient as 3 and remainder as 5 so answer is 5 very easy.

Arpit Mishra said:   1 decade ago
Add 56+29 = 85 ; because dividing 85 by 56 will leave 29 as remainder.
Now, divide 85 by 8 and you'll get 5 as remainder.

Therefore, answer is 5.
It can be applicable to any level of these type of questions.


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