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Is it true that exactly two of the three sentences I, II,

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nonameee
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Is it true that exactly two of the three sentences I, II, [#permalink] New post   Updated on: 02 Nov 2011, 07:26
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A
B
C
D
E

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45% (medium)

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Is it true that exactly two of the three sentences I, II, and III are true?

(1) I is true and exactly one of I and III is true.
(2) II is true and exactly one of II and III is true.

Source: Nova Data Sufficiency Bible


I am not sure about the OA (see my next post).

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D

Originally posted by nonameee on 02 Nov 2011, 07:18.
Last edited by nonameee on 02 Nov 2011, 07:26, edited 1 time in total.
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nonameee
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Re: Is it true that exactly two of the three sentences I, II, [#permalink] New post   02 Nov 2011, 07:25
Here's my take:

The answer to this question is 'yes' when exactly two of the three are true. The answer is 'no' when it's not true that exactly two of the three are true.

(1) I is true and exactly one of I and III is true

From this we can conclude that I is true, III is false. But we know nothing about II.

Insufficient.

(2) II is true and exactly one of II and III is true

Similarly, we can conclude that II is true, III is false, and we know nothing about I.

(1) + (2)

I is true. III is false. II is true. III is false.

Sufficient.

C
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Re: Is it true that exactly two of the three sentences I, II, [#permalink] New post   03 Nov 2011, 03:21
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nonameee wrote:
Here's my take:

The answer to this question is 'yes' when exactly two of the three are true. The answer is 'no' when it's not true that exactly two of the three are true.

(1) I is true and exactly one of I and III is true

From this we can conclude that I is true, III is false. But we know nothing about II.

Insufficient.

(2) II is true and exactly one of II and III is true

Similarly, we can conclude that II is true, III is false, and we know nothing about I.

(1) + (2)

I is true. III is false. II is true. III is false.

Sufficient.

C


I agree with your logic. Each statement alone gives me 'may be' which makes the statement insufficient. I would say the answer is (C) too. I would like to know how they have explained their OA.
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Re: Is it true that exactly two of the three sentences I, II, [#permalink] New post   03 Nov 2011, 03:44
Here's the original question and explanation. I think there is a typo in the question stem:

Quote:
Is it true that exactly two of the three sentences I, II, and III are true?
(1) I is true and exactly one of I and II is true.
(2) II is true and exactly one of II and III is true.

Statement (1) says I is true plus one of I or III is true. This means that exactly two of the sentences I, II, and
III are true. The question is answered and therefore the statement is sufficient.

Statement (2) says II is true plus one of II or III is true. This means that exactly two of the sentences I, II,
and III are true. The question is answered and therefore the statement is sufficient.

The answer is (D).
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Re: Is it true that exactly two of the three sentences I, II, [#permalink] New post   03 Nov 2011, 04:43
nonameee wrote:
Here's the original question and explanation. I think there is a typo in the question stem:

Quote:
Is it true that exactly two of the three sentences I, II, and III are true?
(1) I is true and exactly one of I and II is true.
(2) II is true and exactly one of II and III is true.

Statement (1) says I is true plus one of I or III is true. This means that exactly two of the sentences I, II, and
III are true. The question is answered and therefore the statement is sufficient.

Statement (2) says II is true plus one of II or III is true. This means that exactly two of the sentences I, II,
and III are true. The question is answered and therefore the statement is sufficient.

The answer is (D).

If we combine, all 3 appears to be true so it's impossible
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Re: Is it true that exactly two of the three sentences I, II, [#permalink] New post   03 Nov 2011, 04:46
Right, the original question didn't make sense.

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Re: Is it true that exactly two of the three sentences I, II, [#permalink]
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