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Manager
Joined: 16 Jan 2018
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If x, y, z are distinct prime numbers, which of the following could be
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18 Aug 2018, 23:42
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51% (01:15) correct 49% (01:15) wrong based on 140 sessions
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If x, y, z are distinct prime numbers, which of the following could be true? I. x is the mean of the three primes. II. xyz  1 is a prime III. 27 is divisible by xyz A. Only I B. Only II C. Only III D. I & II E. I, II & II
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Re: If x, y, z are distinct prime numbers, which of the following could be
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19 Aug 2018, 00:09
blueviper wrote: If x, y, z are distinct prime numbers, which of the following could be true?
I. x is the mean of the three primes.
II. xyz  1 is a prime
III. 27 is divisible by xyz
A. Only I
B. Only II
C. Only III
D. I & II
E. I, II & II Plug in and check I. Let \(x = 5, y = 3\) and \(z = 7\) Here mean will be \(\frac{3 + 5 + 7}{3} = 5 = x\) (possible) II. Let \(x = 2, y = 3\) and \(z = 5\) Here mean will be \(2*3*5 1 = 29\) (possible) III. Definitly not possible as 27 =3^3 , violates the theory of prime number Hence answer must be (D) I & II
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Re: If x, y, z are distinct prime numbers, which of the following could be
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20 Aug 2018, 00:10
D
1) if x,y and z 4, 3 and 5. X=4=mean 2) 2*3*51=29 3) we require 3 and 9 but 9 is not a prime number. Hence Nopt possible
answer D



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Re: If x, y, z are distinct prime numbers, which of the following could be
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20 Sep 2018, 02:09
gupta335 wrote: D
1) if x,y and z 4, 3 and 5. X=4=mean 2) 2*3*51=29 3) we require 3 and 9 but 9 is not a prime number. Hence Nopt possible
answer D But 4 isn't a prime so this is not the right example that 1) could be true...
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Re: If x, y, z are distinct prime numbers, which of the following could be
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21 Sep 2018, 10:08
If x, y, z are distinct prime numbers, which of the following could be true?
I. x is the mean of the three primes. =>3+5+7/3 = 15/3 = 5 (YES). Hence B & C eliminated.
II. xyz  1 is a prime => 2 x 3 x 5 = 30 =>301 =>29 is a prime number (YES). Hence A eliminated
III. 27 is divisible by xyz =>27/30 = Not divisible =>27/105 = Not divisible =>27/385 = Not divisible =>27/1001 = Not divisible Hence we proved that (III) is incorrect. So we can eliminate E
Finally we are only left with D i.e. I & II
Thank you Arjun




Re: If x, y, z are distinct prime numbers, which of the following could be &nbs
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21 Sep 2018, 10:08






