Aptitude - Numbers - Discussion

It's quite easy, let the no be x, and the remainder needed be y.

Form the equation as ( (x-29)/56) = ((x-y)/8).

Solve it, and you will get equation of the form.

7y-29=6x.

Now keep filling the values in the options in the place of y.

The resultant should be a multiple of x, hence you will get the answer as 5.

Take quotient as 2 then.

56*2+29=141 then divided by 8.

141/8=====>remainder is 5.

Let's follow the formula:

Dividend = Divisor*Quotient+Reminder.

Let quotient be 1.

56*1+29 = 85.

Now the number is 85,

So by dividing 85 by 8, we get quotient as 1 and reminder as 5. So 5 is the answer.

Its easy one divide remainder by number.

i.e 29%8 = 5.

Suppose that on dividing the given number by 56, we get quotient=k and remainder=29.

Then, number = 56k+29.

= (8*7k)+(8*3)+5.

= 8*(7k+3)+5.

So, the number when divided by 18 gives remainder = 5.

THE DIFFERENCE BETWEEN THE NUMBER AND REMAINDER IS X+29=56.

Then we get the x value is 37.

The according to given information 32 is divisible by x.

The by dividing the same number with 8 we get the remainder i.e. 5.

So the answer is 5 [Option b]

56k + 29.

(8*7k) + (8*3) + 5.

8(7k+3) + 5.

Remainder will be 5.

Here, first divisor (56) is a multiple of second divisor (8).

Required remainder = Remainder obtained on dividing 29 by 8 = 5 because same number is dividing.

If You get any questions like this you can frame like this:

Dividend(D) = divisor(d) * Quotient(Q) + Remainder(R).
D = 56 * Q + 29.

So, [56 * Q + 29 ]/8 [ Since, in the question its given if the same number is divided by 8 what would be the remainder].

56 * Q comes under the multiple of 8 so it will give a remainder as 0, so now only thing left is 29/8, which will clear results our answer or we can say the remainder i.e 29/8 = 5. So, 5 is the remainder.

According to question,

56 * Q + 29 = N.
Assume Q as 1, then 56 * 1 + 29 = 85,
We get N = 85,
85/8 leaves remainder 5.