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ChiranjeevSingh
Hello Everybody,

I saw the below question in a course on logical thinking. It's an interesting question that tests how precisely ones understands a statement, a critical skill tested heavily in the GMAT CR section. Data says that 70% of the people get the answer wrong.

Statement: If a card has a vowel on one side, then it has an even number on the other side.

Flipping which of the following cards will help you in verifying the correctness of the above statement? (Multiple cards may be helpful)

Attachment:
Picture2.jpg

I'll post the answer in a few hours.


Answer is card showing Vowel "A".
It is simple, Card has vowel, flipping the card should reveal an even number and if not then the statement doesn't hold.

Why i didn't choose 8, because the statement doesn't say :-
an even number on one side, will reveal a vowel on flipping ...!!!

Rest other are also wrong, using same reasoning !!!
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ChiranjeevSingh
Hello Everybody,

I saw the below question in a course on logical thinking. It's an interesting question that tests how precisely ones understands a statement, a critical skill tested heavily in the GMAT CR section. Data says that 70% of the people get the answer wrong.

Statement: If a card has a vowel on one side, then it has an even number on the other side.

Flipping which of the following cards will help you in verifying the correctness of the above statement? (Multiple cards may be helpful)

Attachment:
Picture2.jpg

I'll post the answer in a few hours.

I think flipping the cards '3' and 'A' will help to evaluate the correctness of the statement.
Flipping '8' will not help because it is not mentioned that 'vowel on one side' is the only condition to have an even number on the other side. It is possible that both sides of the card have numbers.
Similarly, flipping 'X' also will not help because it is a possibility that a consonant on one side can also have an even number on the other side.
Flipping card '3' will confirm the statement if on its other side there isn't a vowel. Anything other than a vowel can have a odd number on the other side. So, flipping '3' will help to confirm whether its other side has a vowel.
Flipping 'A' will help to directly check the statement, i.e., it must have an even number on its other side for the validity of the statement.
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I think this probably follows conditional statement

Where sufficient > necessary?

If x then y

Not y then not x

Here if vowel then even

Not even then not vowel.

I think A and 3 will help

Posted from my mobile device
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Statement: If a card has a vowel on one side, then it has an even number on the other side.

First of all, we need to understand that the statement means the following:
1. Every card with a vowel on one side will have an even number on the other side.
2. A card which doesn't have an even number on one side cannot have a vowel on another side. (since if it had had a vowel on another side, it would have had an even number on the initial side)
3. No information is given about cards which don't have vowels on one side. They may have even numbers or odd numbers on the other side. (Assuming that each card has an alphabet on one side and an integer on another side.)
4. Based on points 1 and 3 above, we can say that a card with an even number on one side can have a vowel or a consonant on another side.

Thus, we can say that the statement doesn't make any conclusive statement about cards which have either a consonant or an even number on one side.

Thus, we'll not be able to verify the statement by flipping over X or 8.

However, the statement makes conclusive statements about cards which have either a vowel (must have an even number on another side) or an odd number on one side (cannot have a vowel on another side).

Thus, flipping over the card with A and the card with 3 will help us verify the truth value of the statement.

If we don't make the assumption made in point 3 above, flipping over the card with 'X' would also be helpful since per the statement, it cannot have a vowel on another side.

Hope it helps!

- CJ
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Thanks CJ. Messed up point no 2. :(

Should have done it correctly. ques was quite doable.

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