CAT - | PYQs + Solutions

CAT

Algebra

Hard

$\dfrac{8}{3} + p + \dfrac{1}{3}q$

$\dfrac{2}{3} - p + \dfrac{3}{2}q$

$\dfrac{8}{3} - p + \dfrac{3}{2}q$

$\dfrac{2}{3} - 2p + \dfrac{2}{3}q$

✅ Correct Option: 3

Related questions:

CAT 2022 Slot 1

Let $a, b, c$ be non-zero real numbers such that $b^2 < 4ac$ , and $f(x) = ax^2 + bx + c$ . If the set S consists of all integers m such that $f(m) < 0$ , then the set S must necessarily be

CAT 2023 Slot 1

Let $\alpha$ and $\beta$ be the two distinct roots of the equation $2x^2 - 6x + k = 0$ , such that $(\alpha + \beta)$ and $\alpha\beta$ are the distinct roots of the equation $x^2 + px + p = 0$ . Then, the value of $8 (k - p)$ is

CAT 2021 Slot 2

Suppose one of the roots of the equation $ax^2 - bx + c = 0$ is $2+\sqrt{3}$ where a, b and c are rational numbers and $a \neq 0$ . If $b = c^3$ then $|a|$ equals

CAT (QA) PYQs

Keyboard Shortcuts