Class 6 Exam > Class 6 Questions > Which of the following statement is true?a)15...
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Which of the following statement is true?
- a)1509344 is divisible by 8.
- b)72493 is divisible by 11.
- c)8569 is not divisible by 11.
- d)115 is a multiple of 19.
Correct answer is option 'A'. Can you explain this answer?
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Which of the following statement is true?a)1509344 is divisible by 8.b...
1509344 is divisible by 8.
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Which of the following statement is true?a)1509344 is divisible by 8.b...
Explanation:
Divisibility by 8:
- To determine if a number is divisible by 8, we need to check if the last three digits of the number are divisible by 8.
- In the number 1509344, the last three digits are 344, which is divisible by 8 because 344 ÷ 8 = 43.
- Therefore, 1509344 is divisible by 8.
Divisibility by 11:
- To determine if a number is divisible by 11, we can use the rule that states that the difference between the sum of the digits at odd places and the sum of the digits at even places should be a multiple of 11.
- For the number 72493, the sum of the digits at odd places (7 + 4 + 3 = 14) is 14, and the sum of the digits at even places (2 + 9 = 11) is 11.
- The difference between 14 and 11 is 3, which is not a multiple of 11.
- Therefore, 72493 is not divisible by 11.
Conclusion:
- Based on the explanations above, the statement "1509344 is divisible by 8" is true.
Divisibility by 8:
- To determine if a number is divisible by 8, we need to check if the last three digits of the number are divisible by 8.
- In the number 1509344, the last three digits are 344, which is divisible by 8 because 344 ÷ 8 = 43.
- Therefore, 1509344 is divisible by 8.
Divisibility by 11:
- To determine if a number is divisible by 11, we can use the rule that states that the difference between the sum of the digits at odd places and the sum of the digits at even places should be a multiple of 11.
- For the number 72493, the sum of the digits at odd places (7 + 4 + 3 = 14) is 14, and the sum of the digits at even places (2 + 9 = 11) is 11.
- The difference between 14 and 11 is 3, which is not a multiple of 11.
- Therefore, 72493 is not divisible by 11.
Conclusion:
- Based on the explanations above, the statement "1509344 is divisible by 8" is true.
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Which of the following statement is true?a)1509344 is divisible by 8.b)72493 is divisible by 11.c)8569 is not divisible by 11.d)115 is a multiple of 19.Correct answer is option 'A'. Can you explain this answer?
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