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 3 of 19.
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.
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.
USHMA said:
1 decade ago
1.Mutiply 56*29=1624.
2.Add 1624+29(R)=1653.
3.now to check that divide 56)1653(
.....
29
4.the same no u divide by 8 you will get remainder 5.
5.so the no is 1653.
That's it so very simple...!!!
2.Add 1624+29(R)=1653.
3.now to check that divide 56)1653(
.....
29
4.the same no u divide by 8 you will get remainder 5.
5.so the no is 1653.
That's it so very simple...!!!
Satheeshkumar. D said:
1 decade ago
Let the number be 'x'.
On dividing 56,
We got the quotient plus 29 remainder.
So, the number 56x+29.
Now let's divide this number by 8.
56x is completely divisible by 8, so remainder zero.
On dividing 29 gives remainder of 5.
That's the answer.
On dividing 56,
We got the quotient plus 29 remainder.
So, the number 56x+29.
Now let's divide this number by 8.
56x is completely divisible by 8, so remainder zero.
On dividing 29 gives remainder of 5.
That's the answer.
Sai kumar b said:
10 years ago
THE DIFFERENCE BETWEEN THE NUMBER AND REMAINDER IS X+29=56.
Then we get the x value is 37.
The according to given information 32 is divisible by x.
The by dividing the same number with 8 we get the remainder i.e. 5.
So the answer is 5 [Option b]
Then we get the x value is 37.
The according to given information 32 is divisible by x.
The by dividing the same number with 8 we get the remainder i.e. 5.
So the answer is 5 [Option b]
Manish said:
10 years ago
Hi,
The same number is divided by two divisor, 56 & 8.
Now, 56/8 = Divisible. So, 56 is multiple of 8.
Since, Remainder for 56=29>8 (smaller divisor).
Remainder for 8 is 8) 29 (4.
24
Required remainder 5.
The same number is divided by two divisor, 56 & 8.
Now, 56/8 = Divisible. So, 56 is multiple of 8.
Since, Remainder for 56=29>8 (smaller divisor).
Remainder for 8 is 8) 29 (4.
24
Required remainder 5.
Sharifaraya said:
6 years ago
Consider the formula
Dividend=Divisor*Quotient+Remainder.
Here consider Quotient be any number,for example I take 2.
56*2+29=141
141÷8=5
Consider any number in place Quotient you will get Remainder always as 5 by computing those in above said.
Dividend=Divisor*Quotient+Remainder.
Here consider Quotient be any number,for example I take 2.
56*2+29=141
141÷8=5
Consider any number in place Quotient you will get Remainder always as 5 by computing those in above said.
(1)
Yogesh Tayal said:
1 decade ago
Suppose number is x.
Now think 1 number and reminder should be 29.
So that number will 85.
So x = 85.
If we divide 85 by 56 then we get reminder 29.
Now divide 85 by 8 then we get reminder 5.
Hence proved answer will be B option.
Now think 1 number and reminder should be 29.
So that number will 85.
So x = 85.
If we divide 85 by 56 then we get reminder 29.
Now divide 85 by 8 then we get reminder 5.
Hence proved answer will be B option.
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
Sanjayj singh said:
1 decade ago
Division is similar to subtraction in which numerator is greater than denominator,
So in this case
Number= 56*a+29.
So dividing this number by 8 means
56*a / 8 is completely dividable.
And 29= 8*3+5
So 5 will be remaining.
So in this case
Number= 56*a+29.
So dividing this number by 8 means
56*a / 8 is completely dividable.
And 29= 8*3+5
So 5 will be remaining.
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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