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 9 of 19.
Praveena said:
1 decade ago
Take any multiple of 56.
Lets say,
56*2=112 and as the remainder is 29 add it to 112 so it will sum up to 141 now divide it with 8, then remainder will be 8.
Lets say,
56*2=112 and as the remainder is 29 add it to 112 so it will sum up to 141 now divide it with 8, then remainder will be 8.
Shivani Gupta said:
1 decade ago
56 is simply divided by 8 and get 0, so whatever we multiply with it it will be divisible by 0. Now reminder value divide by 8.
29 % 8 = 5 (we get 5 as remainder).
So the answer is 5.
29 % 8 = 5 (we get 5 as remainder).
So the answer is 5.
Nehaagra26211 said:
1 decade ago
When same number is divided by two different divisors such that one divisor is multiple of another divisor and the remainder R of greater is known then remainder is given by (R/d).
Munish said:
1 decade ago
x = 56*y + 29.
= 7*8*y + 3*8 + 5.
The remainder is 5 ie (B).
= 7*8*y + 3*8 + 5.
The remainder is 5 ie (B).
Balaji Shinde, Kurduwadi said:
1 decade ago
56+29 = 85.
85/8 so we get the remainder 5.
85/8 so we get the remainder 5.
Prasanna Kumar said:
1 decade ago
8)29(3
24
-------
5
-------
This is the simplest way to solve.
In less time we can get answer.
24
-------
5
-------
This is the simplest way to solve.
In less time we can get answer.
P.Chandra Sekhar said:
1 decade ago
Read carefully and then understand.
Let us consider that the number divisible by 56 and leaves a remainder 29 be x+29. When the same number is divided by 8 definitely the x is divisible by 8 since it is divisible 56 and 56 is divisible 8 now we should take care about 29. When 29 is divided by 8 it leaves the remainder 5.
So the answer is 5.
Let us consider that the number divisible by 56 and leaves a remainder 29 be x+29. When the same number is divided by 8 definitely the x is divisible by 8 since it is divisible 56 and 56 is divisible 8 now we should take care about 29. When 29 is divided by 8 it leaves the remainder 5.
So the answer is 5.
M.Nagasai Babu said:
1 decade ago
This is simple question. Take any example.
56*1 = 56.
But it should leave 29 as remainder. So 56+29=85.
Let divide 85 with 8. Then get answer.(85%8=5).
56*1 = 56.
But it should leave 29 as remainder. So 56+29=85.
Let divide 85 with 8. Then get answer.(85%8=5).
Abhi said:
1 decade ago
Given number is 56 and 56 is a multiple of 8 so every no divided.
By 56 is also divisible by 8 hence.
The remainder i.e. 29.
29/8 gives Remainder 5.
Hence 5.
By 56 is also divisible by 8 hence.
The remainder i.e. 29.
29/8 gives Remainder 5.
Hence 5.
Praneeth said:
1 decade ago
This is the simplest way of all.
Since a number is divisible by 56 and gives remainder as 29.
Let the least possible number that satisfies the above condition,
So the number is = (56+29) ;
Number = 85;
(if you want just check it, 85%56 = 29).
So the same number 85%8 = 5 (as stated in the question).
As simple as that.
Since a number is divisible by 56 and gives remainder as 29.
Let the least possible number that satisfies the above condition,
So the number is = (56+29) ;
Number = 85;
(if you want just check it, 85%56 = 29).
So the same number 85%8 = 5 (as stated in the question).
As simple as that.
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