If Y < X and XM < YM, what must be true?
Answer(s): D
If Y < X, multiply both sides by M and see that M must be negative since it changed the sign of the inequality. Remember that multiplying both sides of an inequality by a negative number reverses the direction of the inequality sign.
If X = (Y/Z), (-1 < Z < 0) and 4 < Y, which of the following is correct?
Plug in numbers that fit the conditions of the question, Y=5; Z = -1/2 X = 5/(-1/2) = -10.
If (B+A < B – A < A – B), which of the following is correct?
Answer(s): B
Divide the equation in to two: (B+A < B – A) and (B – A < A – B).From the first one: A<0. From the second one: A>B. Therefore, B is the answer.
A is an integer. Which of the following expressions must be even?
Answer(s): C
Answer C is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number multiplied by a different number is an even number.
X and Y are integers. If (4X + 3Y = 3Y – X), which of the following is true?
Answer(s): A
4X + Y = 3Y – X ---> 3X = 2Y. The right side of the equation is definitely even. Therefore, X must also be even since it is multiplied by an odd number (3).
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