How many of a certain group of three postitive integers are

Question

How many of a certain group of three postitive integers are odd?

1) The sume of the three integers is odd.
2) The product of the three integers is even. 

(I don't understand this question. Please help)

paddyboy · Answer

Case 1: Sum of the three integers is odd.
It could mean - 
# All three are odd - 3, 5, 7
# Two of them are even and one is odd - 2, 6, 7
Insufficient

Case 2: Product of the three integers is even.
It could mean -
# None of them is odd - 2, 6, 8
# One of them is odd - 3, 6, 8
# Two of them are odd - 3, 5, 8
Insufficient

Combining Case 1 and case 2, the only common scenario is that one of the numbers is odd, and the remaining two are even

Answer - C.

yezz · Answer

How many of a certain group of three postitive integers are odd? 

1) The sume of the three integers is odd. 
2) The product of the three integers is even. 


sum of 3 is odd = o+o+o or o+e+e or insuff

from two e*o*o or e*e*o

both together insuff

My answer is E

cicerone · Answer

Hey yezz combining both we get the answer....
chect it once........
It has to be C

ivymba · Answer

One more for C

O Odd
E Even

A O+O+O , O+E+E multiple values InSuff
B O*O*E , E*E*E, O*O*E , O*O*E multiple values Insuff

O*E*E is the only combination which works when stmt A and B are combined.

lfox2 · Answer

Agree with C, if it helps write out the numbers to check.

GMATT73 · Answer

Pick easy numbers here.

1. 2,1,2 or 1,1,1 works insuff
2. 2,1,2 or 2,1,1 works insuff

together, 2,1,2
suff

(C)

chanmat · Answer

Both together provides answer. Hence C

asaf · Answer

How many of a certain group of three postitive integers are odd? 

1) The sume of the three integers is odd. 
2) The product of the three integers is even. 

First,

even + even = even
odd + odd = even
even + odd = odd

even * even = even
odd * odd = odd
even * odd = even

1) (a, b, c) Possible solutions
 - all three odd.
 - one odd, two even.
 
So INSUFFICIENT.

2) (a, b, c) For product to be even, possible solutions:
 - all three of them even.
 - one odd, two even
 - one even two odd.
INSUFFICIENT.

combining 1) & 2):
one odd two even

Answer: C.

How many of a certain group of three postitive integers are

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