Which of the following is divisible by 24?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 2856.
The divisibility rule of 24: A number is divisible by 24 if it is divisible by 3 and 8.
The divisibility rule of 3: if the sum of digits of a number is a multiple of 3, the number will be completely divisible by 3.
The divisibility rule of 8: if the last three numbers are zero or divisible by 8, the whole number is divisible by 8.
⇒ Option 1 = 2940
The sum of digits = 2 + 9 + 4 + 0 = 15 [So, divisible by 3]
The last 3 digits = 940/8 = 117.5 [Not divisible by 8]
So, 2940 is not divisible by 24
⇒ Option 2 = 2856
The sum of digits = 2 + 8 + 5 + 6 = 21 [So, divisible by 3]
The last 3 digits = 856/8 = 107 [ divisible by 8]
So, 2940 is divisible by 24
⇒ Option 3 = 1258
The sum of digits = 1 + 2 + 5 + 8 = 16 [So, not divisible by 3]
The last 3 digits = 258/8 = 32.25 [Not divisible by 8]
So, 2940 is not divisible by 24
⇒ Option 4 = 1860
The sum of digits = 1 + 8 + 6 + 0 = 15 [So, divisible by 3]
The last 3 digits = 860/8 = 107.5 [Not divisible by 8]
So, 2940 is not divisible by 24
Hence, only 2856 is divisible by 24