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19 Apr 2016, 03:09
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Difficulty:
15%
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Question Stats:
79% (01:45) correct
21%
(02:02)
wrong
based on 250
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How many integers between 1 and 2,000 are divisible by 10, 25, and 35?
A. 4
B. 5
C. 6
D. 7
E. 8
A. 4
B. 5
C. 6
D. 7
E. 8
19 Apr 2016, 04:15
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Prime factorization of given numbers
10=2*5
25=5^2
35=5*7
LCM of the given numbers
=2*5^2*7
=50*7
=350
Therefore , number of integers = 2000/350
=5
Answer C
10=2*5
25=5^2
35=5*7
LCM of the given numbers
=2*5^2*7
=50*7
=350
Therefore , number of integers = 2000/350
=5
Answer C
19 Apr 2016, 10:54
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I find it easiest to just take 350 and see how many times it fits in 2000. Which is five times. Anything lower than 350 is impossible as anything divisible by 35 won't be divisible by 10 and 25.
Answer is 5.
Answer is 5.
