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# Y is a positive Integer smaller than 33

Author Message
Manager
Joined: 17 Oct 2016
Posts: 81

Kudos [?]: 33 [0], given: 17

Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Y is a positive Integer smaller than 33 [#permalink]

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07 Aug 2017, 20:20
00:00

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
[Reveal] Spoiler: OA

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Dr. Pratik

Kudos [?]: 33 [0], given: 17

Senior Manager
Joined: 06 Jul 2016
Posts: 412

Kudos [?]: 115 [0], given: 99

Location: Singapore
Concentration: Strategy, Finance
Re: Y is a positive Integer smaller than 33 [#permalink]

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07 Aug 2017, 20:39
1
This post was
BOOKMARKED
fitzpratik wrote:
If Y is a positive integer smaller than 33, does Y have factor p such that 1<p<Y?

Y < 33
Question is basically asking whether Y is prime?

Quote:
1. Y+2 is divisible by 3
2. The units digit of Y is 7

1) $$\frac{(Y+2)}{3}$$ = Integer
Y could be 4 => 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.

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Kudos [?]: 115 [0], given: 99

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