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 ?
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 6 of 19.
BASANT said:
1 decade ago
Let the number be X
acording to ? by / X by 56 remainder is 29
this means that x velue is =56*29=85 (remember in ? two numers substraction is not given, 85/56=1 and remainder is 29)
85/8= remainder is 5
this is the simple explanation
acording to ? by / X by 56 remainder is 29
this means that x velue is =56*29=85 (remember in ? two numers substraction is not given, 85/56=1 and remainder is 29)
85/8= remainder is 5
this is the simple explanation
Viraj said:
1 decade ago
Assume that the num is 56+29=85.
Now divide, 85/8.
Remainder is 5.
Now divide, 85/8.
Remainder is 5.
Parth said:
1 decade ago
Ramesh and Sachin are absolutely right..
Raj said:
1 decade ago
Dividing number by 56, we get 29 as remainder means,
Original number we divide by 56 is = 56+29 = 85
So, When dividing 85 by 17, we get remainder 5.
Original number we divide by 56 is = 56+29 = 85
So, When dividing 85 by 17, we get remainder 5.
Mounika said:
1 decade ago
Assume the number as x and the quotient is k.
Given that if the number is divided by 56 we get 29 as remainder.
X = (56*k)+29.
= 56k+24+5.
= 8(7k+3)+5.
Therefore if the number is divided by 8 we will get 5 as remainder.
Given that if the number is divided by 56 we get 29 as remainder.
X = (56*k)+29.
= 56k+24+5.
= 8(7k+3)+5.
Therefore if the number is divided by 8 we will get 5 as remainder.
Nishant said:
1 decade ago
Simply to assume a number, add 29 into 56 we will get 85, now devide 85 by 8 remainder will be 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.
Ashutosh said:
1 decade ago
The most simple way to solve these "n"type question is to put the value.
Like in this example. :suppose that the no. is 85. When we divide it by 56, the remainder is 29, as in this que. , now divide 85 by 8, we find 5 as a remainder.
So we can do this type of que. in just some seconds. And no need of paper or pen.
Like in this example. :suppose that the no. is 85. When we divide it by 56, the remainder is 29, as in this que. , now divide 85 by 8, we find 5 as a remainder.
So we can do this type of que. in just some seconds. And no need of paper or pen.
Amit Verma said:
1 decade ago
Let the Number= X
X= 56Q+29 ( from Dividend= Divisor * Quotient + Remainder)
here Q will be Natural number. but here for convenient we consider Q=1
So, X= 56+29= 85.
Now from 85/ 8. we get 10 as Quotient and 5 as Remainder.
X= 56Q+29 ( from Dividend= Divisor * Quotient + Remainder)
here Q will be Natural number. but here for convenient we consider Q=1
So, X= 56+29= 85.
Now from 85/ 8. we get 10 as Quotient and 5 as Remainder.
Akhilendra said:
1 decade ago
Let the number x and the quotient is why. Then the actual number will be
X=56y+29.
Now we have to find out the remainder when x or 56y+29 is divided by 8.
We can easily visualize that 56y is completely divisible by 8. Hence we only have to work out on 29 and one can easily find out the remainder when 29 is divided by 8. It will be 5.
X=56y+29.
Now we have to find out the remainder when x or 56y+29 is divided by 8.
We can easily visualize that 56y is completely divisible by 8. Hence we only have to work out on 29 and one can easily find out the remainder when 29 is divided by 8. It will be 5.
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