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 19 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
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