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18 Nov 2019, 02:04
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C
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76% (01:01) correct
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If ab = c where a, b, and c are positive integers and a and b are prime numbers, what is the value of b?
(1) c is even.
(2) a is odd.
(1) c is even.
(2) a is odd.
18 Nov 2019, 02:45
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Bunuel
If ab = c where a, b, and c are positive integers and a and b are prime numbers, what is the value of b?
(1) c is even.
(2) a is odd.
(1) c is even.
(2) a is odd.
ab=c
#1
c is even
a or b is 2
insuffieint
#2
a is odd
b can be even or odd insufficient
from 1 &2
a= odd and b = even
IMO C
18 Nov 2019, 03:32
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Bunuel
If ab = c where a, b, and c are positive integers and a and b are prime numbers, what is the value of b?
(1) c is even.
(2) a is odd.
(1) c is even.
(2) a is odd.
Answer C
Explanation: As given, A*B=C
Only 2 is the even prime number, else all rest prime number is odd.
We need the value of B.
1. Given C is even. So it will be only possible when either A or B is Even (as only one can be even prime number, As we want the result as odd number, i.e. C should be odd)
So, Either A or B can be odd or even. so insufficient.
2. Now Given A is odd. So, resultant C (No details given) It can be odd or even
A(odd) * B(odd or Even)= C (odd or Even)
So insufficient
1&2, A(odd) * B(has to be even, as resultant is even)= C (Even)
therefore, both statements 1 & 2 are required. So Answer is C
Please provide kudos, if you find my answer explanation good enough
(really need of kudos) 
