Fun with cards!

Logic Level 2

Five cards are lying on a table as shown.

P Q 3 4 6 \begin{matrix} & \qquad & \boxed{\tt{P}} & \qquad & \boxed{\tt{Q}} \\ \\ \boxed{\tt{3}} & \qquad & \boxed{\tt{4}} & \qquad & \boxed{\tt{6}} \end{matrix}

Each card has a letter on one side and a whole number on the other side. Jane said, "If a vowel is on one side of any card, then an even number is on the other side." Mary showed Jane was wrong by turning over one card. Which card did Mary turn over?

Clarification

  • Each card number is the one with the number on it. For example card 4 is the one with 4 on it, not the fourth card from the left/right.
P Q 3 4 6

Harsh Shrivastava by Harsh Shrivastava , 17, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

As P and Q are not vowels, there is no point turning these cards over to try and prove Jane wrong as there is no stated condition on what number must be on their opposite sides. As for the cards showing numbers, consider the logical equivalent (by contraposition) of Jane's statement: "If an odd number is on one side of any card, then a consonant must be on the other side". The truth of this statement can then only be tested by turning over a card with an odd number on it, of which there is only one, namely the card showing 3 \boxed{3} , (which evidently Mary turned over and found a vowel on the other side).

8 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...