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Difficulty:
95%
(hard)
Question Stats:
51% (03:11) correct
49%
(02:56)
wrong
based on 164
sessions
History
Date
Time
Result
Not Attempted Yet
How many integers between 1 and 1000 (inclusive) are divisible by 7 or 3 but not by 5?
A. 391
B. 343
C. 438
D. 466
E. 475
Source: Self - made
A. 391
B. 343
C. 438
D. 466
E. 475
Source: Self - made
21 Oct 2017, 03:30
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RMD007
# div by 7 = 1000/7 = 142.8 = 142
# div by 3 = 1000/3 = 333.3 = 333
# div by both 7 and 3 = 1000/21 = 47
# div by both 7 and 5 = 1000/35 = 28
# div by 5 and 3 = 1000/15 = 66
# div by 3,5,7 = 1000/105 = 9
so for our answer
we add div by 7 and div by 3, thereafter subtract those div by both 7 and 3 as they have been added twice in the process..
Now they cannot contain div by 5, so we subtract div by both 7 and 5 and thereafter div by both 3 and 5..
But in the process some numbers are eliminated twice so we add multiple of all three -3,5, and 7.
ans 142+333-47-28-66+9=343..
pl relook into your answers
General Discussion
21 Oct 2017, 04:29
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I am getting 390 as the answer.
333+142- (9+57+19) =390
333 = multiples of 3
142 = multiples of 7
9= multiples of 3,7,5
57 = multiples of 3,5 but not 7
19 = multiples of 5,7 but not 3
Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
333+142- (9+57+19) =390
333 = multiples of 3
142 = multiples of 7
9= multiples of 3,7,5
57 = multiples of 3,5 but not 7
19 = multiples of 5,7 but not 3
Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
