Timer
00:00
Answers
A
B
C
D
E
Stats
Difficulty—
Is b even?
(1) a/b is even
(2) (a+1)b is even
OA E
Source: Veritas Prep
(1) a/b is even
(2) (a+1)b is even
OA E
Source: Veritas Prep
Target question: Is b even?BTGmoderatorDC wrote:Is b even?
(1) a/b is even
(2) (a+1)b is even
KEY POINT: We are not told that a and b are INTEGERS.
As such, we can jump straight to. . . .
Statements 1 and 2 combined
There are several values of a and b that satisfy BOTH statements. Here are two:
Case a: a = 4 and b = 2. Notice that a/b = 4/2 = 2, which is EVEN. Also notice that (a + 1)(b) = (4 + 1)(2) = 10, which is even. So, statements 1 and 2 are satisfied. In this case, the answer to the target question is YES, b is even
Case b: a = 3 and b = 0.5. Notice that a/b = 3/0.5 = 6, which is EVEN. Also notice that (a + 1)(b) = (3 + 1)(0.5) = 2, which is even. So, statements 1 and 2 are satisfied. In this case, the answer to the target question is NO, b is NOT even
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
