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 10 of 19.
Karthi said:
1 decade ago
56x+29 then if we consider x=1 we get 85 when divided by 17 we get a remainder of 0 then if we consider x=2 then we get 141 if further divided by 17 we get remainder as 5 and q=8.
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.
Victoria said:
1 decade ago
Let the no. divisible by 56 is x.
Then 56)x(0
0
___
29
Therefore x = 56*0+29.
x = 29.
8)29(3
24
------
5
Remainder is 5.
Then 56)x(0
0
___
29
Therefore x = 56*0+29.
x = 29.
8)29(3
24
------
5
Remainder is 5.
Trisaiteja said:
1 decade ago
It's a simple calculation,
If X%56 = 29, then X%8 = ?
Simply add, 56+29=85.Because Take a least +ve integer value.
For(X) that is divisible by 56 and get the remainder is 29.
Now,
8)85(8
80
____
5.
If X%56 = 29, then X%8 = ?
Simply add, 56+29=85.Because Take a least +ve integer value.
For(X) that is divisible by 56 and get the remainder is 29.
Now,
8)85(8
80
____
5.
Jignesh said:
1 decade ago
If we want to find remainder first check divisibility by given num.
In example 56 is divisible by 8 then,
For 29,
First 29-8-8-8 = 24.
Subtract num till it is possible and left num is our ans.
29-24 = 5.
In example 56 is divisible by 8 then,
For 29,
First 29-8-8-8 = 24.
Subtract num till it is possible and left num is our ans.
29-24 = 5.
Piya said:
1 decade ago
Let k is the quotient. Then.
56k+29 = 8*7k+(8*3+5) make it in form of 8 so that easily we can take 8 as a common.
56k+29 = 8(7k+3)+5
So here 5 is the remainder.
56k+29 = 8*7k+(8*3+5) make it in form of 8 so that easily we can take 8 as a common.
56k+29 = 8(7k+3)+5
So here 5 is the remainder.
Adhi.Sk said:
1 decade ago
Number = x.
x = 56 + 29 = 85.
So,
= 85/8 = 10.5.
Remainder is 5.
x = 56 + 29 = 85.
So,
= 85/8 = 10.5.
Remainder is 5.
Vinot said:
1 decade ago
Since 56 is divisible by 8 so reminder is 29.
So divide 29 by 8 so reminder is 5.
So divide 29 by 8 so reminder is 5.
Ashish wazarkar said:
1 decade ago
Let the number is x.
x/56 gives reminder 29.
So,
56+29=85.
Then,
85/56 gives reminder 29;x=85.
85/8 gives remainder 5.
So answer is 5 very simple.
x/56 gives reminder 29.
So,
56+29=85.
Then,
85/56 gives reminder 29;x=85.
85/8 gives remainder 5.
So answer is 5 very simple.
Ruby said:
1 decade ago
Let the number is x.
x/56 gives reminder 29.
So,
x = (56 * Quotient) + 29.
Notice that remainder is the last number after "+" sign-->(29 here).
Then,
x = (8 * 7 * Quotient) + [(8 * 3) + 5].
So When expressed as multiples of 8 we get the last number after "+" sign-->(5 here).
So 5 is reminder.
x/56 gives reminder 29.
So,
x = (56 * Quotient) + 29.
Notice that remainder is the last number after "+" sign-->(29 here).
Then,
x = (8 * 7 * Quotient) + [(8 * 3) + 5].
So When expressed as multiples of 8 we get the last number after "+" sign-->(5 here).
So 5 is reminder.
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