Given: x > 0 and y < 0. Column A: x - y. Column B: x + y.
Subtracting a negative is like adding a positive. Adding a negative is like subtracting a positive. Consider x - (-|y|) vs x + (-|y|).
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Column A: The area of a rectangle with length 6 and width 4. Column B: The area of a square with side length 5.
Area of rectangle = length × width. Area of square = side × side.
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Given: k is a non-zero integer. Column A: k^2. Column B: k.
Test positive integers (e.g., k=1, k=2) and negative integers (e.g., k=-1, k=-2).
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Column A: 0.5. Column B: (1/2)^2.
Calculate (1/2)^2.
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Given: x and y are positive integers and x > y. Column A: x/y. Column B: y/x.
If x > y and both are positive, x/y will be greater than 1, and y/x will be between 0 and 1.
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Column A: The average (arithmetic mean) of 4, 6, and 11. Column B: 7.
Calculate the average for Column A: (4+6+11)/3.
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Given: p is a prime number. Column A: p+1. Column B: A prime number.
Test different prime numbers for p (e.g., 2, 3, 5). If p=2, p+1=3 (prime). If p=3, p+1=4 (not prime).
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A diagonal of a square is 5/sqrt{2}. Column A: The perimeter of the square. Column B: 20.
If diagonal of a square is d, side s = d/sqrt{2}. Perimeter = 4s.
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Given: xy = 10 and x+y = 7. Column A: x^2 + y^2. Column B: 29.
Recall that (x+y)^2 = x^2 + y^2 + 2xy. Substitute known values.
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Column A: 125% of 40. Column B: 40% of 125.
Remember that a% of b is the same as b% of a. Or calculate both: 1.25 imes 40 and 0.40 imes 125.
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GRE Quantitative Comparison Practice Quiz 3
Comparison Connoisseur!
Your ability to compare and reason quantitatively is excellent!
Analytical Ace!
Strong performance! Keep practicing those comparison strategies.
Quantitative Query!
Review number properties and practice testing different cases for QC questions.
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