Given: x = 5. Column A: 2x + 3. Column B: 3x - 2.
Substitute x=5 into both expressions and compare the results.
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Compare Quantity A and Quantity B.
Given: a and b are positive integers. Column A: (a+b)/2. Column B: sqrt{ab}.
Recall the AM-GM inequality: For non-negative numbers, the arithmetic mean is always greater than or equal to the geometric mean. Equality holds if a=b.
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Compare Quantity A (Arithmetic Mean) and Quantity B (Geometric Mean).
Column A: The number of diagonals in a pentagon. Column B: 5.
A pentagon has 5 sides. The formula for diagonals in an n-sided polygon is n(n-3)/2.
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Given: x is an integer and x^2 = 9. Column A: x. Column B: 3.
If x^2 = 9, then x can be 3 or -3.
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Given: A right triangle with legs of length a and b, and hypotenuse c. Column A: a^2 + b^2. Column B: c^2.
Recall the Pythagorean theorem.
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Column A: 0.05 x 200. Column B: 0.2 x 50.
Calculate both products.
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Given: x is a positive number. Column A: x% of 50. Column B: 50% of x.
a% of b is (a/100) imes b. Is (x/100) imes 50 different from (50/100) imes x?
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Given: y = x+1. Column A: y-x. Column B: 1.
Substitute y = x+1 into Quantity A.
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Column A: The sum of the interior angles of a triangle. Column B: 180 degrees.
This is a fundamental geometry fact.
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Given: n is an integer greater than 1. Column A: 1/n. Column B: 1/(n-1).
Since n > 1, n-1 is a positive integer and n-1 < n. When comparing positive fractions with the same numerator, the one with the smaller denominator is larger.
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Compare Quantity A and Quantity B.
GRE Quantitative Comparison Practice Quiz 5
QC Quantifier!
Your quantitative comparison skills are truly impressive!
Comparison Calculator!
You're making smart comparisons. Keep it up!
Quantity Quest!
Practice testing different values and applying fundamental math properties.
