Exams › IBPS PO › Quantitative Aptitude

Directions (66–68): Read the following quadratic equations carefully and answer the questions given below. (i) $x\times x - 3x - \sqrt{4x^2} = -6$ (ii) $y^2 - \sqrt{81y^2} = -4\times 5$ (iii) $\dfrac{z^2}{\sqrt{625z^6}} + (4\times 7) = 39z$ (iv) $p^2 - (3\times 5)p = 7\times (-8)$ Q66. Find the L.C.M. of the larger roots of $x$, $y$, $z$, and $p$. A) 840 B) 650 C) 780 D) 980 E) 1010

1. 840
2. 650
3. 780
4. 980
5. 1010

Correct answer: 980

Solution

Each equation simplifies to a quadratic after removing the radical terms. Solving them gives the larger roots, and the least common multiple of those roots is 980. The key is to interpret expressions like $\sqrt{4x^2}$ and $\sqrt{625z^6}$ correctly.

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