Multiple choice

In each of the following questions, a question is followed by information given in two statements 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 - $(Q_1^2 - 7Q_1 + 10.56 = 0 \\ Q_2^2 + 3Q_2 - 5.04 = 0)$

  1. Q1 > Q2

  2. Q1 ≥ Q2

  3. Q1 < Q2

  4. Q1 ≤ Q2

  5. Q1 = Q2 or relationship cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solve both quadratic equations to compare Q1 and Q2. For Q1^2 - 7Q1 + 10.56 = 0, the roots are Q1 = 2.4 and Q1 = 4.4 (using quadratic formula or factoring as (Q1-2.4)(Q1-4.4)=0). For Q2^2 + 3Q2 - 5.04 = 0, roots are Q2 = 1.2 and Q2 = -4.2. Comparing positive roots: Q1 (2.4, 4.4) > Q2 (1.2). Therefore Q1 > Q2, making option A correct.

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