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# If a < b < c and d < a < e, which of the following is necessary in ord

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If a < b < c and d < a < e, which of the following is necessary in ord  [#permalink]

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18 Aug 2018, 00:23
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If a < b < c and d < a < e, which of the following is necessary in order to determine whether b < e?
A. c < e
B. b < d
C. c < d
D. a < e
E. d < c

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Re: If a < b < c and d < a < e, which of the following is necessary in ord  [#permalink]

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18 Aug 2018, 01:49
gmatbusters wrote:
If a < b < c and d < a < e, which of the following is necessary in order to determine whether b < e?
A. c < e
B. b < d
C. c < d
D. a < e
E. d < c

Combining the two relations - a < b < c and d < a < e, we can arrive at d < a < b < c

e could take one in three places - between a & b | between b & c | greater than c

Therefore, in order to determine if b < e, we need to know that e is greater than c or c < e (Option A)

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If a < b < c and d < a < e, which of the following is necessary in ord  [#permalink]

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18 Aug 2018, 00:52
Let's consider values of a,b,c,d.
a=2, b=3, c=4
d=1
a<b<c and d<a<e
2<3<4 and 1<2<e
I think if we know the relation between c and e then we will be able to tell whether b<e.
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Re: If a < b < c and d < a < e, which of the following is necessary in ord  [#permalink]

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18 Aug 2018, 06:51
gmatbusters wrote:
If a < b < c and d < a < e, which of the following is necessary in order to determine whether b < e?
A. c < e
B. b < d
C. c < d
D. a < e
E. d < c

a < b < c

Since, d < a < e we can derive the following possible combination -

1. d < a < e < b < c
2. d < a < b < e < c
3. d < a < b < c < e

Now check the options to determine the Answer, Answer must be (A) as it clearly suggests the equation.
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Re: If a < b < c and d < a < e, which of the following is necessary in ord   [#permalink] 18 Aug 2018, 06:51
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