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 13 of 19.
Yadagiri Nadiu said:
1 decade ago
Let x be the number which is divisible by 56 and gives remainder 29.
Here 56 is also divisible by 8. So the x also divisible by 8 and gives remainder of 29 again 29 divisible by 8 and gives remainder 5.
Here 56 is also divisible by 8. So the x also divisible by 8 and gives remainder of 29 again 29 divisible by 8 and gives remainder 5.
Saurabh said:
1 decade ago
Take the simplest possible case.
Since 56 leaves a remainder of 29, let us assume that the quotient is '1', since even with the quotient as '1' the conditions are still satisfied.
Therefore, dividend = divisor x quotient+remainder;.
Hence, dividend = 56 x 1+29 = 85;.
When 85 is divided by 8 the remainder left over is 8.
Since 56 leaves a remainder of 29, let us assume that the quotient is '1', since even with the quotient as '1' the conditions are still satisfied.
Therefore, dividend = divisor x quotient+remainder;.
Hence, dividend = 56 x 1+29 = 85;.
When 85 is divided by 8 the remainder left over is 8.
Santhiya said:
1 decade ago
Add the remainder and dividend. Here 56+29 = 85.
Divide the answer by next divisor. So 85/8.
Hence, remainder is 5.
Divide the answer by next divisor. So 85/8.
Hence, remainder is 5.
Ankita said:
1 decade ago
Let the number be = x.
Now if we subtract the number by 29 the number will be divisible by 56.
Therefore, (x - 29)/56 = 0.
x = 29.
Now 29/8 = 5.
Now if we subtract the number by 29 the number will be divisible by 56.
Therefore, (x - 29)/56 = 0.
x = 29.
Now 29/8 = 5.
Madhu said:
1 decade ago
Let number be X and quotient be K.
As we known dividend=divisor*quotient+remainder.
So x=56*K+29 from given information.
Then number=8*7K+8*3+5.
=8(7K+3)+5.
So remainder will be 5.
As we known dividend=divisor*quotient+remainder.
So x=56*K+29 from given information.
Then number=8*7K+8*3+5.
=8(7K+3)+5.
So remainder will be 5.
Nikhil 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.
Vikas said:
1 decade ago
Very easy.
Let 1 be the quotient.
i.e. 56+29 = 85.
Divide 85 by 8.
Remainder will be 5.
Let 1 be the quotient.
i.e. 56+29 = 85.
Divide 85 by 8.
Remainder will be 5.
Siddharth said:
1 decade ago
Applying remainder theorem i.e.
A = bq+r .
b = divisor.
r = remainder.
A = 56q + 29.
if q = 1,
The no. is A = 85.
On dividing by 8.
Remainder r =5.
A = bq+r .
b = divisor.
r = remainder.
A = 56q + 29.
if q = 1,
The no. is A = 85.
On dividing by 8.
Remainder r =5.
Chirag renapara said:
1 decade ago
29 is divide by 8, So remainder we get 5 which is our answer.
Hemanshu said:
1 decade ago
29/8 remainder 5 answer is right.
This trick is possible only if there is a relationship. i.e. 8*7 = 56.
This trick is possible only if there is a relationship. i.e. 8*7 = 56.
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