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How many numbers are there up to 1000 which are divisible by 4, 6 and 8 together?
- a)39
- b)40
- c)41
- d)42
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many numbers are there up to 1000 which are divisible by 4, 6 and ...
LCM of 4,6 and 8 is 24
Divide 1000 by 24, we get quotient = 41 and 16 as remainder
so 41 numbers are there which are divisible by 4,6 and 8 together.
Divide 1000 by 24, we get quotient = 41 and 16 as remainder
so 41 numbers are there which are divisible by 4,6 and 8 together.
Most Upvoted Answer
How many numbers are there up to 1000 which are divisible by 4, 6 and ...
Approach:
The numbers which are divisible by 4, 6 and 8 should be the multiple of LCM(4,6,8) = 24.
So, we need to find out how many multiples of 24 are there up to 1000.
Calculation:
The last multiple of 24 which is less than or equal to 1000 is 24 × 41 = 984. Therefore, there are 41 multiples of 24 up to 1000.
Hence, option (c) 41 is the correct answer.
The numbers which are divisible by 4, 6 and 8 should be the multiple of LCM(4,6,8) = 24.
So, we need to find out how many multiples of 24 are there up to 1000.
Calculation:
The last multiple of 24 which is less than or equal to 1000 is 24 × 41 = 984. Therefore, there are 41 multiples of 24 up to 1000.
Hence, option (c) 41 is the correct answer.
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How many numbers are there up to 1000 which are divisible by 4, 6 and 8 together?a)39b)40c)41d)42e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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