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How many numbers amongst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?
- a)5
- b)6
- c)0
- d)9
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
How many numbers amongst the numbers 9 to 54 are there which are exact...
Explanation:
Numbers divisible by 9:
- To find the numbers between 9 and 54 that are exactly divisible by 9, we need to look for numbers that are multiples of 9 within this range.
- The numbers that are divisible by 9 between 9 and 54 are 9, 18, 27, 36, and 45.
Numbers divisible by 3:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- The numbers between 9 and 54 that are divisible by 3 are 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, and 51.
Numbers divisible by 9 but not by 3:
- To find numbers that are divisible by 9 but not by 3, we need to look for numbers that are not multiples of 3.
- Among the numbers 9, 18, 27, 36, and 45 that are divisible by 9, all of them are also divisible by 3.
- Therefore, there are no numbers between 9 and 54 that are exactly divisible by 9 but not by 3.
Therefore, the correct answer is option C - 0.
Numbers divisible by 9:
- To find the numbers between 9 and 54 that are exactly divisible by 9, we need to look for numbers that are multiples of 9 within this range.
- The numbers that are divisible by 9 between 9 and 54 are 9, 18, 27, 36, and 45.
Numbers divisible by 3:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- The numbers between 9 and 54 that are divisible by 3 are 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, and 51.
Numbers divisible by 9 but not by 3:
- To find numbers that are divisible by 9 but not by 3, we need to look for numbers that are not multiples of 3.
- Among the numbers 9, 18, 27, 36, and 45 that are divisible by 9, all of them are also divisible by 3.
- Therefore, there are no numbers between 9 and 54 that are exactly divisible by 9 but not by 3.
Therefore, the correct answer is option C - 0.
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Community Answer
How many numbers amongst the numbers 9 to 54 are there which are exact...
ALL NUMBERS ARE DIVISIABLE BY 9 AND ALSO
DIVISIABLE BY 3
EG.- 18,27,36,45
ALL THESE ARE
DIVISIABLE BY 3 AND 9.
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How many numbers amongst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?a)5b)6c)0d)9Correct answer is option 'C'. Can you explain this answer?
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