# Logic Nightmare

Mistake in Logic Nightmare 1

Sorry!

There are 8 statements made in Mrs. George's class about the values of integers a and b from 4 students:

Student A: x is a prime number, while y is not what Student B says it is.

Student B: y is a number that is an even amount greater than x, while x has 8 factors.

Student C: (x - y)(x + y) is greater than the positive difference of the squares of x and y, and xy = y^2 + 5y.

Student D: B's first statement was true, and the sum of x and y is not two less than the square of one more than the number of factors x has.

All students told a true statement and a false statement.

What is the value of (x + 2y)(y + 3x)?