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28 Jun 2021, 05:15
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Each factor of 210 is written on a piece of paper, and all the pieces of paper are mixed up. If a piece of paper is randomly picked up from this mix, what is the probability that a multiple of 42 is written on the paper?
(A) 1/16
(B) 5/42
(C) 1/8
(D) 3/16
(E) 1/4
(A) 1/16
(B) 5/42
(C) 1/8
(D) 3/16
(E) 1/4
28 Jun 2021, 05:28
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210 = 2*3*5*7
So, 210 has 16 factors.
Among these factors, multiple of 42 = 42 and 210.
So, probability = 2/16 = 1/8
So, 210 has 16 factors.
Among these factors, multiple of 42 = 42 and 210.
So, probability = 2/16 = 1/8
17 Jul 2021, 09:19
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Factor of 210= 2*3*5*7
total factors = 16
(1, 2, 2*3, 2*5, 2*7, 3, 3*5, 3*7, 5, 5*7, 7, 2*3*5, 2*3*7 , 2*5*7 ,3*5*7, 210)
multiples of 42= 42, 210
total multiple of 42 =2
so probability= 2/16 = 1/8
total factors = 16
(1, 2, 2*3, 2*5, 2*7, 3, 3*5, 3*7, 5, 5*7, 7, 2*3*5, 2*3*7 , 2*5*7 ,3*5*7, 210)
multiples of 42= 42, 210
total multiple of 42 =2
so probability= 2/16 = 1/8
