Question

A number when divided by 124 gIves the remainder 63. By dividing the same number by 31 , what would be the remainder
FULLY DETAIL ​

Answer 1

Answer:

Let’s take the simplest possible dividend.

So, 899 (1) + 63 = 962.

This is on the basis of the formula-

Divisor (Quotient) + Remainder = Dividend

Now, when 962 is divided by 899, the quotient is 1 and the remainder is 63. So, we can use 962 as our dividend for 29.

962/29 = 33

Remainder = 5

You can repeat this with other quotient values. For example, 2.

899 (2) + 63 = 1861

1861/29 = 64

Remainder = 5

And so on…Keep taking possible whole number quotients and continue the above process.

Lastly, you can also use another technique. We know that 899 is divisible by 29.

899/29 = 31 (Perfect divisibility)

Now, in each case, the remainder after dividing by 899 is 63, as given in the question.

When 63 is divided by 29, it will always leave a remainder of 5.

Answer 2

$\bf\pink{QuestioN:-}$

A number when divided by 124 gives the remainder 63. By dividing the same number by 31 , what would be the remainder.

$\bf\green{AnsweR:-}$

Gɪᴠɛɴ :-

• A number x, where,

• x ÷ 124 gives remainder 63

Tᴏ Fɪɴᴅ:-

• When x ÷ 31 what will be the remainder.

• So that first we need to find the value of x.

Sᴏʟᴜᴛɪᴏɴ:-

• According to the given question,

• $:\longmapsto\bf{\dfrac{x}{124}\sf~~gives~~remainder~~63}$

• Let’s take the simplest possible dividend.

• So, 124 (1) + 63 = 187.

The basis formula we used is-

Divisor (Quotient) + Remainder = Dividend

• Now, when 187 is divided by 124, the quotient is 1 and the remainder is 63. So, we can use 187 as our dividend for 31.

• $:\longmapsto\bf{\dfrac{187}{31}=6}$

• Remainder = 1

If we change the divisor [Multiple of 187] also same remainder will be obtained.

So, the required answer for your question is 1.

Happy Learning!!