For what value of K, the number 7236K2 is divisible by 8?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7
A number is divisible by 8 when the number formed by its last three digits is divisible by 8, because 1000 is a multiple of 8. Here the last three digits are 6K2, so each option is tried in it.
K = 9: 692 ÷ 8 = 86.5, not divisible
K = 4: 642 ÷ 8 = 80.25, not divisible
K = 7: 672 ÷ 8 = 84, divisible
K = 5: 652 ÷ 8 = 81.5, not divisible