Aptitude - Numbers - Discussion

Let's make this sum very simple by making a small assumption,
(Since they said the no is divisible by 56 and leaves the remainder 29)

The first no that is divisible by 56 is 56 × 1 = 56.
As they said it leaves the remainder 29.
-->56 + 29 = 85.

Which is divided by 8 so leaves the remainder 5.
Answer:b)5

Let the quotient be k.

Therefore the number will be 56k + 29.
= 8*7k + 8*3 + 5,
= (8*7k+8*3) + 5,
= 8*(7k+3) + 5,

This is in the form of divisor * quotient + remainder.
Therefore the remainder is 5.
Hope it helps.

Assume the number is 56 + 29 = 85,
85 = 56x1 + 29.

When it is divided by 8,
85/8 = 8x10 + 5,
or 29 = 3x8 + 5,
Hence the remainder is 5.

56 + 29 = 85 which is divided by 8 we get 5 as remainder.

In a simple way :

56+29=85.
Here 85/56 we will get 29 as the remainder.
Again;
85/8 we will get 5 as the remainder.

Find the remainder of the given remainder (29) when divided by the smaller divisor (8):

29÷8=3.
Remainder. 
5.

29 ÷ 8 = 3.
remainder 5.
The remainder when the same number is divided by 8 is directly this value:Answer: 5.

Simple unitary method.

If x/56 = x-29 ; then, x/8 = rem?
Sol. (x-29)*x/8 = x/56
Solving the eq, we get x= 29.
Now, divide 29 by 8.
The answer is 5.

We can solve this type of question by a simple trick.
We know 56*3=168.
Now add 29 to 168 =197.
Now 197/56 remainder is 29(Because we add 29).
So, now 197/8 remainder is 5.

When any two numbers are divided, they are related as Divisor*Quotient + Remainder = Dividend

Now we know the divisor, and the remainder

Let's assume quotient as 1
then in our case 56*1 + 29 = 85 is the number which gives remainder as 29 when divided by 6

Dividend this same number by 8 gives us the remainder as 5.

Alternative,

Let the dividend be 56*Q + 29, where Q is the quotient

Now dividing this same number by 8, there are two things
1. Since 56 is divisible by 8 therefore 56*Q will give us 0 remainder
2. Dividing 29 by 8 will give us remainder 5

In short the only way to to attempt the question is divided the number by previous divisor and the remainder individually and add the result.

What's the remainder for 52 divided by 8?