Multiple choice

In each of the following question, a question is followed by information given in two statement named as Quantity-I(Q1) and Quantity –II (Q2). You have to study the information along with the question and compare the value derived from Quantity-I and Quantity-II. Then answer. Given, (A+B=12) and (A^2 + B^2=74) Quantity I: (A^3 + B^3) Quantity II: (22^2)

  1. Q1 > Q2

  2. Q1 = Q2

  3. Q1 < Q2

  4. Relationship cannot be established

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given A+B=12 and A²+B²=74. First, find AB: (A+B)² = A²+2AB+B², so 144 = 74 + 2AB, giving AB = 35. For A³+B³, use identity: A³+B³ = (A+B)(A²-AB+B²) = 12(74-35) = 12(39) = 468. Quantity I is 468. Quantity II is 22² = 484. Since 468 < 484, Q1 < Q2, making option C correct.

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