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 - (Q_1^2 - 5.4 Q_1 + 5.04 = 0 ) (Q_2^2 - 9.2 Q_2 + 21 = 0)

  1. Q1 > Q2

  2. Q1 ≥ Q2

  3. Q1 < Q2

  4. Q1 ≤ Q2

  5. Q1 = Q2 or relationship can not be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For Q1: Solving Q1² - 5.4Q1 + 5.04 = 0 using quadratic formula: Q1 = (5.4 ± √(29.16 - 20.16))/2 = (5.4 ± 3)/2, giving Q1 = 4.2 or Q1 = 1.2. For Q2: Solving Q2² - 9.2Q2 + 21 = 0: Q2 = (9.2 ± √(84.64 - 84))/2 = (9.2 ± 0.8)/2, giving Q2 = 5 or Q2 = 4.2. Since Q1 values (1.2, 4.2) are both ≤ Q2 values (4.2, 5), Q1 ≤ Q2.

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