Question

A number when divided by 12 gave a remainder 8. When the same number is divided by 48, the number of possible remainders will be, ​

Answer 1

Answer:

answer is 72

Step-by-step explanation:

if u divide the number with 12 and 8

Answer 2

Concept:

Natural numbers, whole numbers, complex numbers, and other sorts of numbers are all categorised in number theory. Following are the divisions of the natural number:

Odd Numbers – 1, 3, 5, 7, 9, 11, 13, 15, 17, 19…..

Even Numbers – 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 . . .

Square Numbers – 4, 9, 16, 25, 36, 49, 64, 81,100 . . .

Cube Numbers – 8, 27, 64, 125, 216, 343, 512 . . .

Prime Numbers – 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,53, 59, 61 . . .

Composite Numbers – 4, 6, 8, 9, 10, 12, 14, 15, 16,18, 20, 21, 22, 24 . . .

Given:

A number when divided by 12 gave a remainder 8

Find:

The number of possible of remainders are when divided by 48

Solution:

Let the number be n = 12 m + 8,  m ∈ Z

(i) m = 0, then n = 8,  n /48 gives remainder 8.

(ii) m = 1, then n  = 20,  n /48  gives 20 as remainder.

(iii) m = 2, then n = 32,  n/ 48 gives 32 as remainder.

(iv) m = 3, then n = 44,  n /48 gives 44  as remainder.

(v) m = 4, then n = 56,  n/ 48 gives 8  as remainder.

Therefore,the no. of possible remainders are 8,20, 32, 44

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