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 1 of 19.
Nirmala said:
2 decades ago
Let k be the quotient, when the number is divided by 56, then
Number = k* 56 + 29
The number can also be expressed as => k * 8 * 7 + 24 + 5
So when it is divided by 8, remainder is ((k*8*7)%8=0) +(24%8=0) + (5%8=5) i.e. 5
Number = k* 56 + 29
The number can also be expressed as => k * 8 * 7 + 24 + 5
So when it is divided by 8, remainder is ((k*8*7)%8=0) +(24%8=0) + (5%8=5) i.e. 5
Bhuvana said:
1 decade ago
Number = k*56 + 29;
Number = (k*56 + 24) + 5;
Number = 8(7k + 3) + 5;
Hence when divided by 8,rem is 5
Number = (k*56 + 24) + 5;
Number = 8(7k + 3) + 5;
Hence when divided by 8,rem is 5
Honey said:
1 decade ago
Please let me know the easiest way to solve the question friends. Type your ans in comment.
Nikhil said:
1 decade ago
Thanks bhuvan.
Ramesh said:
1 decade ago
8)29(3
24
-----
5
Remainder is 5
24
-----
5
Remainder is 5
Paul said:
1 decade ago
Ramesh is right
Baskaran E said:
1 decade ago
Let N be the no.
Then N = 56q + 29
=> N/8 = 7q + 29/8
Hence, N/8 = 7q + 3 + 5/8
Thus the remainder is 5...
Then N = 56q + 29
=> N/8 = 7q + 29/8
Hence, N/8 = 7q + 3 + 5/8
Thus the remainder is 5...
Radhika said:
1 decade ago
Thanks Ramesh. Its easiest method.
Ramy said:
1 decade ago
Bhavna is right.
Sachin said:
1 decade ago
If divisor is completely divisible by new divisor then, we should devide the remainder.
29/8 = remainder is 5.
so, ans would be 5.
29/8 = remainder is 5.
so, ans would be 5.
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