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(#M40014612) MBA question number systems, progressions Keep an EYE

How many numbers are coprime to 2304 and lies between 1000 and 2000 ?

1) 332
2) 500
3) 333
4) 334

Asked In MBA (11 years ago)

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Shiva Shankar  (8 years ago)

2304=2^8*3^2
Two integers are said to be co-primes if they do not have any common factor other than 1.
Number of integers between 1000 and 2000, inclusive = (2000 - 1000) + 1 = 1001
Out of 1001 integers,501 are even and 500 are odd,out of which every 3rd integer will be divisible by 3.
Therefore, number of integers, which are not multiples of 2 and 3 = 1001 - (501 + 166) =334

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