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.
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.
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.
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