The product of positive integers x, y, and z is 66. If y is even, x is prime, xy = 22, which of the following must be true?

A) y < x < z

B) x < z < y

C) x < y < z

D) z < x < y

E) y < z < x

Is the question ambiguous cause I am getting B as ans. But the answer is supposedly E…

Let us choose x = 2 (prime) and y = 11 (even). Now xy z = 66, therefore z needs to be = 3
So, x<z<y

How are you considering y = 11 when it is given that y is even?

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koala
September 1, 2021, 8:56am
3
How is 11 EVEN?..Is 11 divisible by 2 or is a multiple of 2…which means that if you divide 11 by 2, do you get 0

11/2, you get a remainder 1.

Or if you check the multiplication table…

2x5=10
2x6=12

11 comes in between them.
Hence your assumption of y=11 is wrong. It should be y=2.

Yeah silly me, I have my exam tomorrow so I was doing as many quant questions as possible. Well, here I messed up thinking even as a positive number by not reading properly sorry.

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All the best, don’t forget to get a nice 9 hour sleep before the exam!

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