CUET Mathematics - For the greatest integer function f(x)=[x], which of the following statements are correct? A. It is continuous at all real numbers. B. It is continuous at x=2 and 3. C. It is continuous and differentiable for x(2,3) D. It is continuous and differentiable at x=4.5 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Calculus

Easy

core

A and D only

C and D only

B and C only

A and B only

✅ Correct Option: 2

Related questions:

19th May Shift 2

Match the LIST-I with LIST-II

	LIST-I Curve $y = f(x)$ , where $f(x)$ is		LIST-II Nature / derivative / value of $y = f(x)$
A.	$x\vert x \vert$	I.	$y'$ is 2 for all $x \in R^+$ (set of positive real numbers)
B.	$x + \vert x \vert$	II.	$y'$ is 2 for all $x \in R^-$ (set of negative real numbers)
C.	$x - \vert x \vert$	III.	$f(-5) = -1$
D.	$\dfrac{x}{\vert x \vert}$	IV.	$(0, 0)$ is the point of inflection

Choose the correct answer from the options given below:

3 June Shift 2

If $x^m y^n = (x + y)^{m+n}$ , then $\frac{d^2y}{dx^2}$ is equal to:

23 May Shift 3

If $y = x^{(x \sin x)}$ then $\frac{dy}{dx} = ?$

CUET Mathematics 2026 18th May Shift 2 PYQs