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A is the set of positive integers that when divided by 2,3,4,5,6,

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Joined: 10 Apr 2018
Posts: 228
Location: United States (NC)
A is the set of positive integers that when divided by 2,3,4,5,6,  [#permalink]

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New post 11 Apr 2019, 13:15
3
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

42% (02:42) correct 58% (01:31) wrong based on 12 sessions

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A is the set of positive integers that when divided by 2,3,4,5,6, leave reminder 1,2,3,4,5 respectively . How many such integers between 50 and 500 belong to set A.?
(A) 1
(B) 2
(C)5
(D)6
(E)8

59, 119,179,239, 299, 359, 419, 479

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Joined: 31 Aug 2016
Posts: 5
Location: India
Concentration: Finance, Economics
WE: Analyst (Consulting)
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Re: A is the set of positive integers that when divided by 2,3,4,5,6,  [#permalink]

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New post 11 Apr 2019, 14:34
Take simple LCM of the divisors 2,3,4,5,6 which will give you 60 and did -1 to get to the number which can give me the reminders needed.

The set of A will be for all 60x - 1
50 < 60x - 1< 500
will give 8 so the answer is E
GMAT Club Bot
Re: A is the set of positive integers that when divided by 2,3,4,5,6,   [#permalink] 11 Apr 2019, 14:34
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A is the set of positive integers that when divided by 2,3,4,5,6,

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