Dr. Watson has a new card puzzle for Sherlock Holmes. He picks four cards out of the pack of 52 cards and lays them face down on the table. He offers four hints to Sherlock.
1) The left card can’t be greater than the one on right.
2) The difference between the first card and third card equals to eight.
3) None of the Ace is present
4) No face card has been included i.e. no queen king and jacks.
5) The difference between the second and fourth card is 7.
Sherlock smiles and tells all the four cards to Dr. Watson.
Can you tell the four cards?
2, 3, 10 and 10
To maintain the difference of eight and keeping in mind the third and fourth hint, the first and third cards can be 2 and 10 or 10 and 2. But keeping in mind the first hint, we know that the first card is 2 and the third is 10. Similarly, if we see the fifth hint, the difference between the second and fourth card should be 7. Thus we know that the second card is 3 and the fourth card is 10.