Multiple choice

Directions: In this question, two equations (I) and (II) are given. You have to solve both the equations and give the answer accordingly. (I) a2 + 6a + 8 = 0 (II) b3 + 5341 = 7538

  1. a > b

  2. a < b

  3. a ≥ b

  4. a ≤ b

  5. a = b or no relation can be established between 'a' and 'b'.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Equation I: a^2 + 6a + 8 = 0 factors to (a+4)(a+2) = 0, so a = -4 or -2. Equation II: b^3 + 5341 = 7538 implies b^3 = 2197, so b = 13. Comparing values, -4 < 13 and -2 < 13, so a < b.

AI explanation

First, solve equation I by factoring a^2 + 6a + 8 = 0 into (a + 4)(a + 2) = 0, which gives the roots a = -4 and a = -2. Next, solve equation II, which is b^3 + 5341 = 7538; subtracting 5341 from 7538 gives b^3 = 2197, meaning b = 13. Comparing the values, both -4 and -2 are strictly less than 13, so the relationship is a < b.

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