Exams › IBPS PO › Quantitative Aptitude

P and Q are the correct terms of series A and series B respectively. If $R$ is equal to the square of the larger root of the equation $x^2 - 15x = -9^2 + 5^2$, then which of the following statement(s) is/are correct? (i) $Q + R = P$ (ii) $\frac{P}{3} + 15 = R - Q$ (iii) $\sqrt{R} + P = 7Q - 5$ A) Only (i) & (ii) B) Only (ii) & (iii) C) Only (i) D) Only (ii) E) Only (iii)

1. Only (i) & (ii)
2. Only (ii) & (iii)
3. Only (i)
4. Only (ii)
5. Only (iii)

Correct answer: Only (i) & (ii)

Solution

The equation gives the larger root, and squaring it yields $R$. Using the correct terms from series A and B, statements (i) and (ii) hold true, while (iii) does not. This is a mixed problem involving series identification and quadratic roots.

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