which of these numbers is not a multiple of 3 A. 81 B.111 C. 73 D. 27 E. 105
Answers
Heya mate!!
73 is not the multiple of 3.
Because its sum is not divisible by 3.
Hope it helps u dear✌️✌️
Given:
A set of numbers 81, 111, 73, 27, and 105.
To Find:
The number that is not a multiple of 3 from the given numbers above is?
Solution:
The given problem can be solved using the concepts of divisibility rules.
1. For a number to be divisible by 3 the condition is:
=> For a number to be divisible by 3, the sum of the digits of the number must be a multiple of 3.
=> For example, the number 45 has the sum of digits (4+5) 9. 9 is a multiple of 3, Hence the number 45 is divisible by 3.
2. Consider the given numbers:
A. 81,
=> Sum of the digits = 8 + 1 = 9.
=> As 9 is a multiple of 3 (3 x 3 = 9), the number 81 is divisible by 3.
B. 111,
=> Sum of the digits = 1 + 1 + 1 = 3.
=> As 3 is a multiple of 3 (3 x 1 = 3), the number 111 is divisible by 3.
C. 73,
=> Sum of the digits = 7 + 3 = 10.
=> As 10 is not a multiple of 3, the number 73 is not divisible by 3.
D. 27,
=> Sum of the digits = 2 + 7 = 9.
=> As 9 is a multiple of 3 (3 x 3 = 9), the number 27 is divisible by 3.
E. 105,
=> Sum of the digits = 1 + 0 + 5 = 6.
=> As 6 is a multiple of 3 (3 x 2 = 6), the number 105 is divisible by 3.
Therefore, the number 73 is not a multiple of 3. Option C is the correct answer.