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 11 of 19.
Santhiya said:
1 decade ago
Add the remainder and dividend. Here 56+29 = 85.
Divide the answer by next divisor. So 85/8.
Hence, remainder is 5.
Divide the answer by next divisor. So 85/8.
Hence, remainder is 5.
Pawan said:
1 decade ago
Actually,
Number= (k*56+29).
Number= (k*56+24+5).
Number=8* (k*7+3) +5.
So divided number by 8, We get reminder 5.
Number= (k*56+29).
Number= (k*56+24+5).
Number=8* (k*7+3) +5.
So divided number by 8, We get reminder 5.
Manoj kumar said:
1 decade ago
The given number is divisible by 56
Then why the number may not be 56
Take k=56
56+29=85
8)85(10
80
Reminder=5
Then why the number may not be 56
Take k=56
56+29=85
8)85(10
80
Reminder=5
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
Perumal.s said:
1 decade ago
n = s*56+29.
n = s*56/8+24/8+5/8.
n = s*+0+0+5.
n = 56*29=1624.
1624/56 = 29 remainder.
1625/8 = 5 remainder.
n = s*56/8+24/8+5/8.
n = s*+0+0+5.
n = 56*29=1624.
1624/56 = 29 remainder.
1625/8 = 5 remainder.
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...
Rinki said:
1 decade ago
(29+x)/8 = N.
Where N is natural number and put x values are 1 2 3 4 5.
Then x least value is your answer.
Where N is natural number and put x values are 1 2 3 4 5.
Then x least value is your answer.
Raja said:
10 years ago
56+29 = 85.
56)85(1
56
----
29
8)85(10
80
----
5
If you are not a fool you will understand.
56)85(1
56
----
29
8)85(10
80
----
5
If you are not a fool you will understand.
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 .
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
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