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If each of the positive integers a, b, and c is a prime number and abc

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Bunuel
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If each of the positive integers a, b, and c is a prime number and abc [#permalink] New post   17 Dec 2014, 07:50
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If each of the positive integers a, b, and c is a prime number and abc = 30, what is the value of c ?

(1) a < b < c
(2) a + b = c
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D
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Re: If each of the positive integers a, b, and c is a prime number and abc [#permalink] New post   17 Dec 2014, 08:31
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30 can be written as different prime factors as only in below case
2*3*5

1. a<b<c. clearly c=5 sufficient.
2. a+b=c. again 5=2+3 so c=5. sufficient

Ans D
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Re: If each of the positive integers a, b, and c is a prime number and abc [#permalink] New post   20 Dec 2014, 11:05
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Given: a, b, c are prime numbers and abc = 30, what is the value of c ?
Since abc is even, atleast one of them must be even prime number 2.
3 and 5 are the only other prime numbers yielding a product of 15

Statement 1: a < b < c
Thus c=5 -- Sufficient

Statement 2: a + b = c
Thus c=5 -- Sufficient

Each statement alone is sufficient, Answer D
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Re: If each of the positive integers a, b, and c is a prime number and abc [#permalink] New post   01 Feb 2022, 07:52
abc = 30 = 2*3*5

Statement 1 - a<b<c , 2<3<5, c=5 . SUFFICIENT
Statement 2 - a+b=c , 2+3=5 , c=5. SUFFICIENT

Option D
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Re: If each of the positive integers a, b, and c is a prime number and abc [#permalink]
01 Feb 2022, 07:52
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