Q, R, S, and T are four consecutive positive numbers. Which of the following expressions must be odd?
Answer(s): D
You can ignore the powers since odds and evens remain as they were under powers. Q and R are consecutive numbers and therefore one of them is even and the other one is odd. The result of the sum of an even number and an odd number must be an odd number.
X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4. What is Z?
Answer(s): A
Use the answers to back solve.X + 2Y +3Z = 5Y +4 ---> X + 3Z = 3Y +4Let’s try the first answer: Z = 5, so Y = 6 and X = 6. Let’s check the equivalence: 7 + 15 = 22 = 18 + 4.
The sum of 3 consecutive numbers is definitely:
Answer(s): C
This is a rule: The sum of 3 consecutive integers is divisible by 3. For example, take 3 + 4 + 5 = 12.
Which of the following expressions is independent to variable X?
Answer(s): B
Simplify all the expressions to see where X disappears.Answer B: X – (1+2X)/2 = X – ½ - X = -1/2 and this answer as you can see is not dependent on the variable X.
If (A + 2)2 = (A + 5)2, what could be the value of A?
Plug in the answers to back solve this question. Input A = -3.5 and you’ll get (-1.5)2 = (1.5)2
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