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Which of the following number is divisible by 6?1. 123462. 123483. 123444. 12340 |
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Answer» Correct Answer - Option 2 : 12348 Given: Four numbers are given 12346, 12348, 12344, and 12340 Concept Used: We check the divisibility of 2 and 3. The number which is divisible by 2 and 3 simultaneously will be divisible by 6. Divisibility of 2: The number must end with 0, 2, 4, 6, 8. Divisibility of 3: Sum of all digits of the given number should be divisible by 3 Calculation: 12346 : Last digit is 6 so divisible by 2 but sum of digits (1 + 2 + 3 + 4 + 6 = 16) is not divisible by 3, so number is not divisible by 6. 12348 : Last digit is 8 so divisible by 2 but sum of digits (1 + 2 + 3 + 4 + 8 = 18) is divisible by 3, so number is divisible by 6. 12344 : Last digit is 4 so divisible by 2 but sum of digits (1 + 2 + 3 + 4 + 4 = 14) is not divisible by 3, so number is not divisible by 6. 12340 : Last digit is 0 so divisible by 2 but sum of digits (1 + 2 + 3 + 4 + 0 = 10) is not divisible by 3, so number is not divisible by 6. ∴ 12348 is the number that is divisible by 6. |
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