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 7 of 19.
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.
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.
Senorita said:
1 decade ago
No = x, y= Quotient.
x = 56y + 29.
Here 29=remainder.
Now divide whole by 8.
As its given dividing the same No. by 8.
x/8 = 56y/8 + 29/8.
And
8)29(3
24
-----
5
-----
So answer is 5.
x = 56y + 29.
Here 29=remainder.
Now divide whole by 8.
As its given dividing the same No. by 8.
x/8 = 56y/8 + 29/8.
And
8)29(3
24
-----
5
-----
So answer is 5.
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.
Andy said:
1 decade ago
56+29=85
therefore 85/8--->Remainder is 5
therefore 85/8--->Remainder is 5
Yogesh Kandharkar said:
1 decade ago
The remainder,when (35)^128 is divided by 50 is
1)35 2)25 3)5 4)45
1)35 2)25 3)5 4)45
Raghav said:
1 decade ago
(divisor*quotient)+remainder=dividend
so that 56k+29=X
therefore 8(7k+24)+5=X
so that the remainder is 5 .
so that 56k+29=X
therefore 8(7k+24)+5=X
so that the remainder is 5 .
Rahul said:
1 decade ago
x = 56*y + 29
= 7*8*y + 3*8 + 5
The remainder is 5
= 7*8*y + 3*8 + 5
The remainder is 5
Dhiraj said:
1 decade ago
Shortest answer has given by Ramesh.
Hanamant shivanagi said:
1 decade ago
The remainder rule: consider r=29
smaller divisor d=8
if r>d then rem=rem of r/d
here 29/8=5 rem
hence rem=5
smaller divisor d=8
if r>d then rem=rem of r/d
here 29/8=5 rem
hence rem=5
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