1.

Which of the following numbers is divisible by 12?1). 1832). 1923). 1624). 128

Answer»

A number is divisible by 12, if it is divisible by 3 and 4

A number is divisible by 3, if the SUM of its digits is divisible by 3, while a number is divisible by 4, if the LAST two digits of the number is divisible by 4

Hence,

Considering number 183,

⇒ Sum of digits = 1 + 8 + 3 = 12, which is divisible by 3

⇒ Last two digits = 83, which is not divisible by 4

Considering number 192,

⇒ Sum of digits = 1 + 9 + 2 = 12, which is divisible by 3

⇒ Last two digits = 92, which is divisible by 4

Considering number 162,

⇒ Sum of digits = 1 + 6 + 2 = 9, which is divisible by 3

⇒ Last two digits = 62, which is not divisible by 4

Considering number 128,

⇒ Sum of digits = 1 + 2 + 8 = 11, which is not divisible by 3

⇒ Last two digits = 28, which is divisible by 4

∴ The number 192 is divisible by 12



Discussion

No Comment Found