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# Y is a positive Integer smaller than 33

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Senior Manager
Joined: 17 Oct 2016
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Y is a positive Integer smaller than 33  [#permalink]

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07 Aug 2017, 20:20
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Difficulty:

55% (hard)

Question Stats:

70% (01:49) correct 30% (01:52) wrong based on 20 sessions

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If Y is a positive integer smaller than 33, does Y have factor p such that 1<p<Y?

1. Y+2 is divisible by 3

2. The units digit of Y is 7

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Re: Y is a positive Integer smaller than 33  [#permalink]

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07 Aug 2017, 20:39
1
[quote="fitzpratik"]If Y is a positive integer smaller than 33, does Y have factor p such that 1 NOT Prime
Y could be 19 => Prime
Insufficient.

2) Y = 7, 17 or 27
Insufficient.

1+2)
$$\frac{(Y+2)}{3}$$ = Integer
Y = 7,17,27
Y can only be 7 => Prime.
Sufficient.

C is the answer

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Re: Y is a positive Integer smaller than 33   [#permalink] 07 Aug 2017, 20:39
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# Y is a positive Integer smaller than 33

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