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MCQ Quantitative Comparison - Solving Questions

The CAT Online Free Test Prep MCQs Quantitative Comparison - Solving Questions

Quantitative Comparison: Solving Questions

Question:

Column A Column B
ab = - 40
(a + b )2(a - b )2
Option A:      A if the quantity in Column A is greater.
Option B:      B if the quantity in Column B is greater.
Option C:      C if the two quantities are equal.
Option D:      D if the relationship cannot be determined from the information given.
  A     B     C     D  
Show/Hide Answer and Explanation

Correct Answer: B

Explanation Video

Explanation
Did you memorize the expanded forms of these two expressions: (a + b)2 = a2 + 2ab + b2 and (a – b)2 = a2 – 2ab + b2? Now cancel the quantities that are identical in both columns by slashing off a2 and b2. You’re left with +2ab, which would be –80, compared to –2ab, which would be +80 (because a negative times a negative is a positive). Correct Answer: B.
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How to Solve Solving Questions

For Solving Questions question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.