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If x and y are positive. is y< 2 ?

This topic has 1 expert reply and 0 member replies

If x and y are positive. is y< 2 ?

Post Fri Sep 15, 2017 7:01 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If x and y are positive. is y< 2 ?

    (1) x > 2y
    (2) x < y + 2

    The OA is C.

    Do we need both statements together to confirm that y< 2 ?

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    Post Fri Sep 15, 2017 7:23 pm
    Vincen wrote:
    If x and y are positive. is y< 2 ?

    (1) x > 2y
    (2) x < y + 2
    Statement 1: x>2y
    Case 1: y=1, x=10
    Case 2: y=3, x=10
    Since y<2 in Case 1 but y>2 in Case 2, INSUFFICIENT.

    Statement 2: x<y+2
    Case 3: y=1, x=2
    Case 4: y=3, x=2
    Since y<2 in Case 3 but y>2 in Case 4, INSUFFICIENT.

    Statements combined:
    Linking together 2y<x and x<y+2, we get:
    2y < x < y+2
    2y < y + 2
    y < 2.
    SUFFICIENT.

    The correct answer is C.

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    Thanked by: Vincen
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