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23 Feb 2015, 03:04
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
48% (02:43) correct
52%
(02:33)
wrong
based on 143
sessions
History
Date
Time
Result
Not Attempted Yet
In a card game named Allemande, each of four players has a hand of 8 cards from a standard deck of 52. Through a series of discards, players try to maximize the point value of their final hand. Suits are irrelevant. Cards Ace through 10 have a point value of the number of their card: for example, the five of any suit would be worth 5 points. Face cards (Jack, Queen, and King) are worth 20 points each. Does Charles have the highest value final hand?
(1) Charles’ hand is worth 117 points.
(2) No other player besides Charles has more than four face cards in his hand.
Kudos for a correct solution.
(1) Charles’ hand is worth 117 points.
(2) No other player besides Charles has more than four face cards in his hand.
Kudos for a correct solution.
23 Feb 2015, 03:55
Kudos
Bookmarks
Here we go:
St1: Charles’ hand is worth 117 points.
This statement is clearly insufficient because no information is provided for other 3 players.
St2: No other player besides Charles has more than four face cards in his hand.
So here we have that charles has at least 5 cards with him.
So his score can range from 103 to 160. However no information is given for other 3 players.
This statement is also insufficient.
Combining two statements.
Charles’ hand is worth 117 points.
No other player besides Charles has more than four face cards in his hand.
So charles has 5 face cards with him -> 20 * 5 = 100
Left over 17 can be made by many combinations. For example -> (5,5,7), (8,7,2) etc
but the catch here is ->
Say one of the other three players has 4 face cards-> 4 * 20 = 80
and other 4 cards with number 10 on them -> This makes the total score of 120.
Say we can not for sure say that Charles has the highest value final hand
According to me option E is correct.
St1: Charles’ hand is worth 117 points.
This statement is clearly insufficient because no information is provided for other 3 players.
St2: No other player besides Charles has more than four face cards in his hand.
So here we have that charles has at least 5 cards with him.
So his score can range from 103 to 160. However no information is given for other 3 players.
This statement is also insufficient.
Combining two statements.
Charles’ hand is worth 117 points.
No other player besides Charles has more than four face cards in his hand.
So charles has 5 face cards with him -> 20 * 5 = 100
Left over 17 can be made by many combinations. For example -> (5,5,7), (8,7,2) etc
but the catch here is ->
Say one of the other three players has 4 face cards-> 4 * 20 = 80
and other 4 cards with number 10 on them -> This makes the total score of 120.
Say we can not for sure say that Charles has the highest value final hand
According to me option E is correct.
23 Feb 2015, 08:02
Kudos
Bookmarks
In a card game named Allemande, each of four players has a hand of 8 cards from a standard deck of 52. Through a series of discards, players try to maximize the point value of their final hand. Suits are irrelevant. Cards Ace through 10 have a point value of the number of their card: for example, the five of any suit would be worth 5 points. Face cards (Jack, Queen, and King) are worth 20 points each. Does Charles have the highest value final hand?
Total points -- 4*4 face cards and remaining number cards -- 4*4*20+4(1+2+4+..10)=320+4*(10*11)/2=320+440=760
Maximum possible points in hand of all 4= 4*4 face cards and number cards of 10, 9, 8 and 7 -- 4*4*20+4(10+9+8+7)=320+132=452
MAXIMUM points with any one --- All face cards = 8*20=160
(1) Charles’ hand is worth 117 points.
Possible that Charles = 117 and remaining =(452-117)/3 ~111 or 112....Highest with charles
Possible that charles has 117, while someone else has 120 and remaining with 109 and 110
Insuff
(2) No other player besides Charles has more than four face cards in his hand.
We do not know about the remaining cards in hands of charles they may be just 1 each..
The other may have 4 face cards, four 10s ..
Insuff
combined insufficient...
four face cards and four 10s=120 <117...
also four face cards and four oness=84> 117 ..insufficient
E
Total points -- 4*4 face cards and remaining number cards -- 4*4*20+4(1+2+4+..10)=320+4*(10*11)/2=320+440=760
Maximum possible points in hand of all 4= 4*4 face cards and number cards of 10, 9, 8 and 7 -- 4*4*20+4(10+9+8+7)=320+132=452
MAXIMUM points with any one --- All face cards = 8*20=160
(1) Charles’ hand is worth 117 points.
Possible that Charles = 117 and remaining =(452-117)/3 ~111 or 112....Highest with charles
Possible that charles has 117, while someone else has 120 and remaining with 109 and 110
Insuff
(2) No other player besides Charles has more than four face cards in his hand.
We do not know about the remaining cards in hands of charles they may be just 1 each..
The other may have 4 face cards, four 10s ..
Insuff
combined insufficient...
four face cards and four 10s=120 <117...
also four face cards and four oness=84> 117 ..insufficient
E
