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 14 of 19.
Varun said:
1 decade ago
Let x be the number and y be the quotient.
x = 56*y + 29.
x = (8*7*y) + ((8*3) +5).
x = 8(7y+3) + 5.
So if the number is divided by 8, we get the remainder as 5.
x = 56*y + 29.
x = (8*7*y) + ((8*3) +5).
x = 8(7y+3) + 5.
So if the number is divided by 8, we get the remainder as 5.
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.
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.
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.
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.
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.
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.
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.
Parth said:
1 decade ago
Ramesh and Sachin are absolutely right..
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.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers