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Envelopes (Posted on 2003-04-10) Difficulty: 2 of 5
There are three envelopes and exactly two statements are written on each of the envelopes. The statements on one of the envelopes are BOTH TRUE, the statements on the other envelope are BOTH FALSE and the remaining envelope has ONE TRUE and ONE FALSE statement. Here is what is written on the three envelopes:

First Envelope:
(a)The formula is not in here.
(b)The formula is in Envelope 2.

Second Envelope:
(a)The formula is not in Envelope 1.
(b)The formula is in Envelope 3.

Third Envelope:
(a)The formula is not in here.
(b)The formula is in Envelope 1.

Which envelope contains the formula ?

See The Solution Submitted by Ravi Raja    
Rating: 2.9091 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
A different method | Comment 36 of 39 |
Statements (b) comprise 2 false and 1 true with 3 false 3 true overall. So statements (a) comprise 2 true and 1 false.

Since 3(a) is the only unique statement among (a), it must be false, so the formula's in envelope 3.

  Posted by Gamer on 2008-04-06 15:20:38
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