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.
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
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...!!!
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