Which of the following number is divisible by 6?1. 123842. 123583. 123

1.	Which of the following number is divisible by 6?1. 123842. 123583. 123684. 12376
Answer» Correct Answer - Option 1 : 12384 Given: Numbers are 12384, 12358, 12368,12376 Concept Used: A number is divisible by 6 if its last digit is an even number or zero and the sum of the digits is a multiple of 3. Calculation: All the four given number's last digits are even that is 4, 8, 8, 6 respectively Now, sum of digits Option 1) 12384 ⇒ 1 + 2 + 3 + 8 + 4 = 18 ⇒ 18 is a multiple of 3 ⇒ 12384 is divisible by 6 Option 2) 12358 ⇒ 1 + 2 + 3 + 5 + 8 = 19 ⇒ 19 is not a multiple of 3 ⇒ 12358 is not divisible by 6 Option 3) 12368 ⇒ 1 + 2 + 3 + 6 + 8 = 20 ⇒ 20 is not a multiple of 3 ⇒ 12368 is not divisible by 6 Option 4) 12376 ⇒ 1 + 2 + 3 + 7 + 6 = 19 ⇒ 19 is not a multiple of 3 ⇒ 12376 is not divisible by 6 ∴ 12384 is divisible by 6

Which of the following number is divisible by 6?1. 123842. 123583. 123684. 12376

Answer» Correct Answer - Option 1 : 12384

Given:

Numbers are 12384, 12358, 12368,12376

Concept Used:

A number is divisible by 6 if its last digit is an even number or zero and the sum of the digits is a multiple of 3.

Calculation:

All the four given number's last digits are even that is 4, 8, 8, 6 respectively

Now, sum of digits

Option 1) 12384

⇒ 1 + 2 + 3 + 8 + 4 = 18

⇒ 18 is a multiple of 3

⇒ 12384 is divisible by 6

Option 2) 12358

⇒ 1 + 2 + 3 + 5 + 8 = 19

⇒ 19 is not a multiple of 3

⇒ 12358 is not divisible by 6

Option 3) 12368

⇒ 1 + 2 + 3 + 6 + 8 = 20

⇒ 20 is not a multiple of 3

⇒ 12368 is not divisible by 6

Option 4) 12376

⇒ 1 + 2 + 3 + 7 + 6 = 19

⇒ 19 is not a multiple of 3

⇒ 12376 is not divisible by 6

∴ 12384 is divisible by 6

Discussion

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