If \(S = \{2, 3, x, y\},\) what is the value of \(x + y?\)

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M7MBA wrote:
Fri Jun 05, 2020 8:27 am
If \(S = \{2, 3, x, y\},\) what is the value of \(x + y?\)

(1) \(x\) and \(y\) are prime numbers.
(2) \(3, x,\) and \(y\) are consecutive odd integers in ascending order.

[spoiler]OA=B[/spoiler]

Source: Official Guide
Let's take each statement one by one.

(1) \(x\) and \(y\) are prime numbers.

x and y can have many values such as 2, 3, 5, 7, 11, etc. Many values. insufficient.

(2) \(3, x,\) and \(y\) are consecutive odd integers in ascending order.

=> x = 5 and y = 7 => x + y = 5 + 7 = 12.

Correct answer: B

Hope this helps!

-Jay
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