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Asked in ETEA MDCAT 2005 2005

If sum of the two numbers is-9 and their product is-36, then the numbers are:

Correct answer: B. -12, 3

  • A. 12, -3
  • B. -12, 3
  • C. -12, -3
  • D. 9, -4

Explanation

Instead of forming two simultaneous equations (a + b = -3 & ab = -36) and solving them, it is often advantageous and time efficient to quickly scan the answers and see which ones fit the given requirements. In this case, only answer B meets the initial condition that a+b = -3 and 3x-12 = -36 too, so B is the correct answer.

This question appeared on the ETEA MDCAT 2005 paper, which you can sit online with every answer explained.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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