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If a < x < b and c < y < d

This topic has 1 expert reply and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
Joined
24 Jul 2017
Posted:
83 messages

If a < x < b and c < y < d

Post Thu Aug 03, 2017 12:23 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If a < x < b and c < y < d, is x < y ?
    (1) a < c
    (2) b < c

    Official Guide question
    Answer: B

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    Post Thu Aug 03, 2017 12:37 pm
    jjjinapinch wrote:
    If a < x < b and c < y < d, is x < y ?
    (1) a < c
    (2) b < c

    Official Guide question
    Answer: B
    Target question: Is x < y?

    Given: a < x < b and c < y < d

    Statement 1: a < c
    This statement doesn't FEEL sufficient, so I'll TEST some values.
    There are several scenarios that satisfy statement 1 (AND the given information). Here are two:
    Case a: a = 1, x = 2, b = 3, c = 4, y = 5 and d = 6. In this case, x < y
    Case b: a = 1, x = 10, b = 11, c = 4, y = 5 and d = 6. In this case, x > y
    Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

    Statement 2: b < c
    Perfect, this information allows us to COMBINE the two given inequalities.
    We get: a < x < b < c < y < d
    At this point, it is clear that x < y
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer: B

    Cheers,
    Brent

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