List of practice Questions

If $\omega$ is a complex cube root of unity, then $\omega^{\left(\frac{1}{3}+\frac{2}{9}+\frac{4}{27}+\ldots \infty\right)}+\omega^{\left(\frac{1}{2}+\frac{3}{8}+\frac{9}{32}+\ldots \infty\right) \text { is equal to }}$

The value of $\int \limits \frac {dx}{x^2(x^4+1)^{3/4}}$ is

If $A=\left\{x \in R / \frac{\pi}{4} \leq x \leq \frac{\pi}{3}\right\}$ and $f(x)=\sin x-x$, then $f(A)$ is equal to

The value of the determinant $\begin{vmatrix}b^{2}-a b & b-c & b c-a c \\ a b-a^{2} & a-b & b^{2}-a b \\ b c-a c & c-a & a b-a^{2}\end{vmatrix}$ is

If $A$ is a square matrix of order 3 , then | adj $\left(\operatorname{adj} A^{2}\right) \mid$ is equal to

$\displaystyle \sum_{k=1}^{6}\left[\sin \frac{2 k \pi}{7}-i \cos \frac{2 k \pi}{7}\right]$ is equal to

If $a, b, c$ are distinct and the roots of $(b-c) x^{2}+(c-a) x+(a-b)=0 $ are equal, then $a, b$ and $c$ are in

The number of lone pair of electrons on the central atoms of $H_2O,\, SnCl_2,\, PCl_3$ and $XeF_2$ respectively, are

Calamine is an ore of :

Assuming human pupil to have a radius of $0.25\, cm$ and a comfortable viewing distance of $25\, cm$, the minimum separation between two objects that human eye can resolve at $500\, nm$ wavelength is

Oral rehydration salt contains ionic electrolytes in concentration mmlo/L

What is the biological source of Alexandrian Senna

Sanguinarine belongs to the subgroup of:

Which enzymes is used by the HIV to form DNA in the host cell

Which of the following in not include in immunization programme as per WHO recommendations for all children

Which of the following are characteristics for colloid mills
(P) Due to centrifugal forces, the mill undergoes periodical vibratory movement
(Q) Particles smaller than 1 μm can be obtained with them
(R) The main types of colloid mills are hammer, turbine and dial mills
(S) The principle of their operation is based on the abrasion of particles at high speed

Chitin gets converted in to Chitosan upon:

Which of the following free radical is most dangerous free radical

Antidiabetic action of gliburidestart at molecular level by which mechanism

Seeding involves the spread of cancer cells to

Choose correct statement for PEGylation: http://www.xamstudy.com

Plarographic method of analysis to obtain individual amounts of Cu²+ and Cd²⁺ in a given mixture of the two ions (Cu²+ and Cd²⁺) is achieved by measuring their

Momordica charantia having blood sugar lowering activity due to:

Methyl [5(proopylthio)-1H-benzoimidazol-2yl] carbamate is Geneva name of which of the following drug

Which of the following is most likely to undergo lysis