Exams › IBPS PO › Quantitative Aptitude

Passage: There are three equations I, II and III given below. Solve these three equations and answer the question that follows. Equation I: $3x^2y - 3x - 3y + 2n + 1 = 0$ Equation II: $-2x^2y + 2x + 2x + 2y - 10 = 0$ Equation III: $x^2y - Ax + y - P = 0$ Note: (i) Equation I + Equation II = Equation III (ii) $n$ is the smallest whole number, while $A$ and $P$ are integers. If $y = 1.4$ in Equation III, then which of the following is the root of the equation?

1. 7,11
2. -21, 11
3. 8,9
4. None of these

Correct answer: None of these

Solution

Using Equation I + Equation II = Equation III gives the combined form of Equation III with integer coefficients. After substituting $y=1.4$, the resulting equation does not have roots matching any of the listed pairs. Hence, the correct option is None of these.

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