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Three Playing Cards (Posted on 2003-02-26) Difficulty: 2 of 5
There are three playing cards face-up on the table.

A diamond is on the left of a spade.

An eight is on the right of a king.

A ten is on the left of heart.

A heart is on the left of a spade.

From left to right, what are the three playing cards?

See The Solution Submitted by Ravi Raja    
Rating: 2.4444 (9 votes)

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Solution Explanation for the Puzzle Answer Comment 12 of 12 |
(In reply to Puzzle Answer by K Sengupta)

Let us denote:
Diamond -> D                 Eight -> E
Spade -> S                      Ten-> T
Heart -> H                       King-> K

At the outset, let us concentrate on the suits.
By clue (i), the arrangement is:
DS_  D_S or, _DS
Then by clue (ii), the arrangement becomes:
HDS or DHS
By clue (iii), T is to the left of H. So H cannot  assume the leftmost position and, accordingly,  the accurate positioning must be:
DHS     .......... (I)

We now concentrate on the values.
Clue (ii) gives the arrangement as:
KE_     _KE   or,     K_E
By clue (iii), T is to the left of H and therefore, T has the leftmost position, and we must have the correct arrangement of the values as:
TKE ......... (II)

Combining (I) and (II), we have the complete accurate arrangement as:
TD, KH, ES
Amplifying, we obtain:
Ten of Diamonds, King of Hearts, Eight of Spades as the required arrangement.


Edited on March 9, 2022, 1:08 am
  Posted by K Sengupta on 2022-03-09 01:03:42

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