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Quantitative Comparison Strategies Flashcards

7 cards from real GRE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative Comparison Strategies flashcards as text

  1. Quantity A: 0.5 percent of 200. Quantity B: 1. Which is correct?

    Answer: The two quantities are equal

    0.5% of 200 = 0.005 × 200 = 1, so the quantities are equal.

  2. Given x > 1, Quantity A: x^2 - x. Quantity B: 0. Which is correct?

    Answer: Quantity A is greater

    x^2 - x = x(x-1), and for x>1 both factors are positive, so the result is positive.

  3. Quantity A: the number of ways to arrange the letters in CAT. Quantity B: the number of ways to arrange the letters in DOG. Which is correct?

    Answer: The two quantities are equal

    Both words have 3 distinct letters, giving 3! = 6 arrangements each.

  4. Given 2^x = 8, Quantity A: x. Quantity B: 3^0 + 2. Which is correct?

    Answer: The two quantities are equal

    2^x=8 gives x=3, and 3^0+2=1+2=3, so both equal 3.

  5. Quantity A: the slope of the line through (0,0) and (2,4). Quantity B: the slope of the line through (1,1) and (3,5). Which is correct?

    Answer: The two quantities are equal

    Both slopes equal 4/2 = 2, so the quantities are equal.

  6. Given a and b are positive, Quantity A: (a+b)^2. Quantity B: a^2 + b^2. Which is correct?

    Answer: Quantity A is greater

    (a+b)^2 = a^2 + 2ab + b^2, which exceeds a^2+b^2 by 2ab > 0 for positive a,b.

  7. Quantity A: the greatest common factor of 24 and 36. Quantity B: the least common multiple of 4 and 6. Which is correct?

    Answer: The two quantities are equal

    GCF(24,36)=12 and LCM(4,6)=12, so the quantities are equal.