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10 Oct 2019, 00:41
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:42) correct
18%
(01:39)
wrong
based on 60
sessions
History
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Time
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A sports league encourages collaboration by awarding 3 points for each goal scored without assistance and 5 points for each goal scored with assistance. A total of 48 points were scored by a team in a single game. Which of the following CANNOT be the number of goals scored without assistance by this team in this game?
A. 1
B. 6
C. 11
D. 12
E. 16
A. 1
B. 6
C. 11
D. 12
E. 16
10 Oct 2019, 08:04
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Bunuel
A sports league encourages collaboration by awarding 3 points for each goal scored without assistance and 5 points for each goal scored with assistance. A total of 48 points were scored by a team in a single game. Which of the following CANNOT be the number of goals scored without assistance by this team in this game?
A. 1
B. 6
C. 11
D. 12
E. 16
A. 1
B. 6
C. 11
D. 12
E. 16
given
3x+5y=48
5y=48-3x
factor of 5 integer value
only not possible at x=12
IMO D
10 Oct 2019, 11:08
Kudos
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Bunuel
A sports league encourages collaboration by awarding 3 points for each goal scored without assistance and 5 points for each goal scored with assistance. A total of 48 points were scored by a team in a single game. Which of the following CANNOT be the number of goals scored without assistance by this team in this game?
A. 1
B. 6
C. 11
D. 12
E. 16
A. 1
B. 6
C. 11
D. 12
E. 16
Work with options -
(A) 1*3 + 5*9 = 48 ( Possible )
(B) 6*3 + 5*6 = 48 (Possible )
(C) 11*3 + 5*3 = 48 (Possible )
(D) 12*3 + 5*2 + 2 = 48 (Not Possible )
(E) 16*3 + 5*0 = 48 (POssible )
Hence, ANswer must be (D)
