Exams › IBPS PO › Quantitative Aptitude

In the following questions, the equations I and II are given. Solve both equations and mark the appropriate answer. I. $2a^2 + 43a - 120 = 0$ II. $2b^2 - 45b + 100 = 0$

1. a < b
2. a \ge b
3. a = b OR the relationship cannot be determined
4. a < b

Correct answer: a \ge b

Solution

Equation I factors as $(2a-5)(a+24)=0$, so $a=\frac{5}{2}$ or $a=-24$. Equation II factors as $(2b-5)(b-20)=0$, so $b=\frac{5}{2}$ or $b=20$. Since $a$ can be equal to $b$ or greater than $b$, the best relation is $a \ge b$.

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