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09 Mar 2023, 02:30
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D
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Difficulty:
25%
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Question Stats:
81% (02:01) correct
19%
(02:07)
wrong
based on 152
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A certain roller coaster ride has more than 29 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. If less than 112 people are in the line, which of the following is the largest possible value of number of people in the line?
A) 112
B) 108
C) 106
D) 102
E) 96
A) 112
B) 108
C) 106
D) 102
E) 96
09 Mar 2023, 08:29
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We need to find the largest number that is smaller than 112, multiple of 6 and leaves a remainder of 2 when divided by 5.
the largest number multiple of 6 (less than 112) is 108, but 108 leaves a remainder of 3 when divided by 5.
the next multiple of 6 is 102 which leaves a remainder of 2 when divided by 5.
Hence 102 is the number.
Answer D
the largest number multiple of 6 (less than 112) is 108, but 108 leaves a remainder of 3 when divided by 5.
the next multiple of 6 is 102 which leaves a remainder of 2 when divided by 5.
Hence 102 is the number.
Answer D
10 Mar 2023, 13:30
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Bunuel
Only one answer choice is less than 112 and leaves a remainder of 2 when divided by 5.
Answer choice D.
