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Is x equal to 2.5?

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Math Expert
Joined: 02 Sep 2009
Posts: 58395
Is x equal to 2.5?  [#permalink]

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11 Jan 2018, 23:38
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Difficulty:

35% (medium)

Question Stats:

62% (01:02) correct 38% (01:03) wrong based on 144 sessions

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Is x equal to 2.5?

(1) x is rounded to the nearest integer is 3.
(2) x is rounded to the tenths digit is 2.5.

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Re: Is x equal to 2.5?  [#permalink]

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11 Jan 2018, 23:57
Bunuel wrote:
Is x equal to 2.5?

(1) x is rounded to the nearest integer is 3.
(2) x is rounded to the tenths digit is 2.5.

1. If x rounded to the nearest integer is 3, the value of x could be
any value greater than 2.5, but it is not necessarily 2.5(Insufficient)

2. When x is rounded to the tenths digit, the value is 2.5, x could be
greater than or equal to 2.45 or lesser than 2.55. But it doesn't
necessarily have to be 2.5 (Insufficient)

On combining the information given in both the statements, the range
is 2.5 <= x < 2.55. Hence, x is not necessarily equal to 2.5(Option E)
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Re: Is x equal to 2.5?  [#permalink]

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03 Feb 2018, 16:47
The question is just asking if X=2.5, So from statement (2) if a non integer number HAS to be rounded in order to get 2.5, then X CANNOT be 2.5 and hence sufficient.

From statement (1) we do not know if X is 2.5 if it is rounded to the nearest integer. X could be 2.5 or 2.6, 2.7 etc?

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Joined: 26 Mar 2013
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Re: Is x equal to 2.5?  [#permalink]

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03 Feb 2018, 17:41
mekoner wrote:
The question is just asking if X=2.5, So from statement (2) if a non integer number HAS to be rounded in order to get 2.5, then X CANNOT be 2.5 and hence sufficient.

From statement (1) we do not know if X is 2.5 if it is rounded to the nearest integer. X could be 2.5 or 2.6, 2.7 etc?

Check x = 2.5 & 2.53...........Both satisfy Statement 1 & 2 ..Hence, you won't get conclusive answer.

Re: Is x equal to 2.5?   [#permalink] 03 Feb 2018, 17:41
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