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08 Dec 2016, 14:05
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:46) correct
30%
(01:08)
wrong
based on 66
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If g is a prime number, is g – 2 a prime number?
(1) g – 1 is not a prime number.
(2) g^2 < 81.
(1) g – 1 is not a prime number.
(2) g^2 < 81.
08 Dec 2016, 19:24
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Bunuel
If g is a prime number, is g – 2 a prime number?
(1) g – 1 is not a prime number.
(2) g^2 < 81.
(1) g – 1 is not a prime number.
(2) g^2 < 81.
(1) Let g=29
then g-1=28 not prime
thus g-2=27 not prime number
but if g=5
then g-1=4 not prime
and g-2=3 prime numbers
insuff..
(2) we have g=2,3,5,7
if g=7 then g-2=5--------Yes
if g=3 then g-2=1-----------No
Combined we have g=2,3,5,7 as per (2)
again if g=2 then g-1 =1 not prime &&g-2=0 not prime
But if g=7 then g-1=6 not prime && g-2 =5 prime
Both statements are insuff..
Ans E
09 Dec 2016, 01:20
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Option E)
Given: g is a prime number; is (g-2) a prime number ?
S1. (g-1) is NOT a prime number.
: Assume g = 5; g-1= 4 (Non-prime) ; g-2 = 3 (Prime)
: Assume g = 11; g-1 = 10 (Non-prime); g-2 = 9 (Non-prime)
Not a unique solution
Insufficient
S2. g^2 < 81
: Prime numbers with perfect square less than 81 = 2, 3, 5, 7
Not a unique solution
Insufficient
S1 + S2
:g = (2 or 3 or 5 or 7) AND g-1 = Non-prime
: g= 7 (P); g-1 = 6 (NP); g-2 = 5 (P)
: g= 2 (P); g-1 = 1 (NP); g-2 = 0 (NP)
No unique solution
Insufficient
Given: g is a prime number; is (g-2) a prime number ?
S1. (g-1) is NOT a prime number.
: Assume g = 5; g-1= 4 (Non-prime) ; g-2 = 3 (Prime)
: Assume g = 11; g-1 = 10 (Non-prime); g-2 = 9 (Non-prime)
Not a unique solution
Insufficient
S2. g^2 < 81
: Prime numbers with perfect square less than 81 = 2, 3, 5, 7
Not a unique solution
Insufficient
S1 + S2
:g = (2 or 3 or 5 or 7) AND g-1 = Non-prime
: g= 7 (P); g-1 = 6 (NP); g-2 = 5 (P)
: g= 2 (P); g-1 = 1 (NP); g-2 = 0 (NP)
No unique solution
Insufficient
