ISEE Quantitative Comparisons Question 156: Answer and Explanation

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Question: 156

3.

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: D

Explanation:

The answer is D

Factor the quadratic equation to solve for x. First, create two binomials, each with x as one term within both: (x )(x ) = 0. Next, consider the signs. The positive 12 means that the operations within the two binomials are the same, and the negative 7x means that they are both subtraction: (x - )(x - ) = 0. Now list all the factors of 12, in their pairs: 1 and 12, 2 and 6, and 3 and 4. Only 3 and 4 yield a sum of 7, so they are the two second terms inside the binomials: (x - 3)(x - 4) = 0. Last, set each term to 0 and solve for the two values of x that satisfy the equation: x - 3 = 0, so x = 3, and x - 4 = 0 so x = 4. As one solution is equal to the value in Column B and one is less, the answer is choice (D).

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