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# X, Y, Z are all real numbers. Is X > 15? (1) Y < 17, and X < Y. (2)

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1430
Location: India
X, Y, Z are all real numbers. Is X > 15? (1) Y < 17, and X < Y. (2)  [#permalink]

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14 Jan 2019, 22:01
3
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:02) correct 41% (01:14) wrong based on 40 sessions

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X, Y, Z are all real numbers. Is X > 15?

(1) Y < 17, and X < Y.

(2) Z > 14, and X > Z.
Math Expert
Joined: 02 Aug 2009
Posts: 7956
Re: X, Y, Z are all real numbers. Is X > 15? (1) Y < 17, and X < Y. (2)  [#permalink]

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14 Jan 2019, 22:31
X, Y, Z are all real numbers. Is X > 15?

(1) Y < 17, and X < Y.
So X<Y<17..
X can be 13..NO
X can be 16..yes

(2) Z > 14, and X > Z.
X>Z>14..
X can be 15..NO
X can be 16..yes

Combined
14<X<17...
X can be 15 ...NO
X can be 15.5 or 16..YES

Insufficient
_________________
Re: X, Y, Z are all real numbers. Is X > 15? (1) Y < 17, and X < Y. (2)   [#permalink] 14 Jan 2019, 22:31
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