List of practice Questions

If $D$ is the set of all real $x$ such that $1-e^{\left(1/ x\right)-1}$ is positive, then $D$ is equal to

The number of ways of painting the faces of a cube of six different colours is

Banana bunchytop virus is transmitted through.............

$\frac{d}{dx} (x^x)$ is equal to

If $\frac{ d }{ dx }(\phi( x ))= f ( x )$, then $\int\limits_{1}^{2} f ( x )$ is equal to:

$\int\limits^2_0 |1 -x| dx$ is equal to

$\int \frac{\sin 2 x}{\sin ^{4} x+\cos ^{4} x}$ is equal to:

The function $\sin \, x + \cos \, x$ is maximum when $x$ is equal to

The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals

For the reaction, $N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$, the unit of $K$ is :

Ozone depletion over Antarctica is due to the

One mole of $P _{2} O _{5}$ undergoes hydrolysis as $P _{2} O _{5}+ H _{2} O \rightarrow H _{3} PO _{4}$ The normality of the phosphoric acid formed is (The volume of solution is $1\, L$ )

$1 \,L$ of a gas is at a pressure of $10^{-6} \, mm$ of Hg at $25^{\circ} C$. How many molecules are present in the vessel?

The $pH$ of a $0.01 \,M\, HCN$ solution for which $pK_a$ is $4$ is

The Poisson's ratio of a material is $0.5$. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is:

Which of the following compounds will react with two moles of $CH_3MgBr$ ?

Which of the following is an artificial edible colour ?

The work done in placing a charge of $8 \times 10^{-18} \, C$ on a capacitor of capacity $100\, \mu F$ is

A point source of light is placed $4 \,m$ below the surface of water of refractive index $\frac{5}{3}$. The minimum diameter of a disc, which should be placed over the source, on the surface of water to cut-off all right coming out of water is

A toroidal solenoid with an air core has an average radius of $15 \,cm$, area if crosssection $12\, cm ^{2}$ and $1200$ turns. Ignoring the field variation across the cross- section of the toroid, the self-inductance of the toroid is:-

Which anion is the weakest base?

$1 \,g$ of $U -235$ is converted into $UF _{6}$. The radioactivity of $UF _{6}$ thus obtained is :

The product/s of the reaction, is/are: $Na _{2} CO _{3}+ CO _{2}+ H _{2} O \rightarrow$

The sum of the series $\log _{4} 2-\log _{8} 2+\log _{16} 2-\ldots$ is

The velocity of efflux of a liquid through an orific in the bottom of the tank does not depend upon