Which of the following numbers is divisible by 6?

Correct option is C

Given:

Options: 622, 584, 534, 608

Concept Used:

​Divisible by 6 

must be divisible by both 2 and 3.

Divisibility by 2

last digit must be even.

Divisibility by 3 

sum of digits must be divisible by 3.

Solution:

622

last digit 2 (even) ; sum = 6+2+2 = 10 (not divisible by 3)  Not divisible

584 

last digit 4 (even) ; sum = 5+8+4 = 17 (not divisible by 3) Not divisible

534

last digit 4 (even) ; sum = 5+3+4 = 12 (divisible by 3)   Divisible

608

last digit 8 (even) ; sum = 6+0+8 = 14 (not divisible by 3)   Not divisible

Final Answer: 534