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15 Mar 2015, 23:22
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
50% (02:42) correct
50%
(02:30)
wrong
based on 256
sessions
History
Date
Time
Result
Not Attempted Yet
In a bag, there are five 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
(A) 61
(B) 106
(C) 424
(D) 840
(E) 960
(A) 61
(B) 106
(C) 424
(D) 840
(E) 960
16 Mar 2015, 00:11
Kudos
Bookmarks
Hi
Now here the language of the question is the key to the answer. It asks to find the no of different totals of the 4 rolled dices can be there.
please see the picture attached.
Now here the language of the question is the key to the answer. It asks to find the no of different totals of the 4 rolled dices can be there.
please see the picture attached.
Attachments
dice.png [ 15.31 KiB | Viewed 7153 times ]
General Discussion
16 Mar 2015, 22:48
Kudos
Bookmarks
Hi All,
As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but the possibilities are rather limited:
1) The minimum number on any given die is 1
2) The maximum possible sum would only occur if we took the 4 biggest possible dice and rolled the highest possible number on each.
With 4 dice, we could end up with any SUM between:
4 (if we rolled 1s on all 4 dice)
to
64 (if we rolled two 20s on the 20-sided dice and two 12s on the 12-sided dice).
Thus, there are only 61 possible sums.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but the possibilities are rather limited:
1) The minimum number on any given die is 1
2) The maximum possible sum would only occur if we took the 4 biggest possible dice and rolled the highest possible number on each.
With 4 dice, we could end up with any SUM between:
4 (if we rolled 1s on all 4 dice)
to
64 (if we rolled two 20s on the 20-sided dice and two 12s on the 12-sided dice).
Thus, there are only 61 possible sums.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
