If x is an integer such that x^3 is between -30 and 30 (exclusive of -30 and 30), which of the following could be values of x? Indicate **all** such values.
Please select 4 correct answers
Consider integers whose cubes are greater than -30 AND less than 30. (e.g., 3^3=27, (-3)^3=-27).
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Wrong!
Select all possible integer values for x.
Which of the following numbers are divisible by both 2 and 3? Indicate **all** such values.
Please select 3 correct answers
A number divisible by both 2 and 3 is divisible by their LCM, which is 6. Check for divisibility by 6.
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Wrong!
Select all numbers divisible by 6.
If x and y are integers and x + y = 5, which of the following could be the value of x - y? Indicate **all** such values.
Please select 3 correct answers
Consider pairs of integers (x,y) that sum to 5 (e.g., x=3,y=2; x=4,y=1; x=0,y=5; x=6,y=-1). Calculate x-y for each pair. Notice that x-y will have the same parity (odd/even) as x+y if x and y are integers.
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Wrong!
Select all possible values for x - y.
The lengths of the sides of a triangle are x, x+2, and x+4. If the perimeter of the triangle is 24, which of the following statements are true? Indicate **all** such statements.
Please select 3 correct answers
Perimeter = x + (x+2) + (x+4) = 24. Solve for x to find side lengths. Then check properties.
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Correct!
Wrong!
Select all true statements about the triangle.
If N is a positive integer, for which of the following values of N is N/3 + N/4 an integer? Indicate **all** such values.
Please select 3 correct answers
N/3 + N/4 = (4N + 3N)/12 = 7N/12. For this to be an integer, N must be a multiple of 12.
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Wrong!
Select all values of N for which the expression is an integer.
Which of the following are equal to 2.5 imes 10^3? Indicate **all** such values.
Please select 3 correct answers
2.5 imes 10^3 = 2.5 imes 1000 = 2500.
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Correct!
Wrong!
Select all equivalent values.
If x is an integer, which of the following expressions must represent an odd integer? Indicate **all** such expressions.
Please select 2 correct answers
Consider cases where x is even and where x is odd. (Even+1=Odd, 2*Even=Even, 2*Odd=Even, Odd+Odd=Even, Even+Even=Even).
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Wrong!
Select all expressions that are always odd.
The set P = {prime numbers less than 15}. Which of the following are elements of P? Indicate **all** such values.
Please select 3 correct answers
List prime numbers: 2, 3, 5, 7, 11, 13...
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Correct!
Wrong!
Select all prime numbers less than 15.
If x and y are positive integers and x > y, which of the following must be less than 1? Indicate **all** such values.
Please select 3 correct answers
Consider the relative sizes of x and y.
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Correct!
Wrong!
Select all expressions that must be less than 1.
A circle has radius r. A square has side length s. If the area of the circle is equal to the area of the square, which of the following must be true? Indicate **all** such statements.
Please select 2 correct answers
If pi r^2 = s^2, then s = r-sqrt{pi}. Compare s and r.
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Wrong!
Select all statements that must be true if pi r^2 = s^2.
GRE Problem Solving (Multiple Answers) Practice Quiz 5
Multiple Answer Mastermind!
You expertly handle questions with multiple correct options!
Choice Connoisseur!
Good job navigating these multi-select problems. Keep practicing!
Option Analyst!
Remember to evaluate each choice independently and thoroughly.
