List of top Questions asked in UPSEE

Let $f(x) = \begin{cases} a (x) \sin \frac{\pi \ x }{2} & \text{for } x \neq 0 \\ -(n+1)/2 & \text{for} x = 0 \end{cases} $ where $\alpha (x) $ is such that $\displaystyle\lim_{x \to 0} |\alpha (x) | = \infty $ Then the function $f(x)$ is continuous at $x = 0$ if $\alpha (x) $ is chosen as

Let $l_{n } = \frac{2^{n } + \left(-2\right)^{n} }{2^{n}} $ and $L_{n} = \frac{2^{n} + \left(- 2\right)^{n}}{3^{n}}$ then as $ n \to\infty$

The $\displaystyle\lim_{y \to a} \left\{ \left(\sin \frac{y-a}{2}\right) . \left(\tan \frac{\pi y}{2a}\right)\right\} $ is

Let $f(x) = \begin{cases} - 2 \sin x & \quad \text{if } x \leq - \frac{\pi}{2}\\ A \ \sin x + B & \quad \text{if } - \frac{\pi}{2} < x < \frac{\pi}{2} \\ \cos & \quad \text{if } x \leq \frac{\pi}{2} \end{cases} $ For what values of A and B, the function $f (x)$ is continuous throughout the real line ?

Hygroscopic roots are found in :

Hydra can not digest :

Gravitational force acts on a particle due to fixed uniform solid sphere. Neglect other forces. Then particle

For car battery which one is correct statement ?

Which of the following is a lyophobic colloid :

The enthalpy of the formation of $CO_2$ and $H_2O$ are - $395\, kJ$ and - $285\, kJ$ respectively and the enthalpy of combustion of acetic acid is $869\, kJ.$ The enthalpy of formation of acetic acid is:

Among the following compounds of Boron, the species which also forms $\pi $ - bond in addition to $\sigma$ - bonds is:

In terms of polar character which one of the following orders is correct?

Give the IUPAC name for the following structure :

Epinasty movement is found in :

Dinosaurs disappeared during :

Imbibtion is a :

A molecule of ATP is structurally similar to a molecule of :

Hydathodes are meant for :

Inverted omega shaped vascular bundles are found in :

Cuscuta is a :

Apogamy results in formation of :

Coacervates are :

What is plasmid?

An object of mass 26 kg floats in air and it is in equilibrium state. Air density is $1.3 \,kg/m^3$ . The volume of the object is :

??ydraulic lift??works on the basis of