List of top Questions asked in BITSAT

If $f\left(x\right) = \frac{a^{2} -1}{a^{2} +1} x^{3} -3x +5 $ is a decreasing function of $x$ in $R$, then the set of possible values of a (independent of $x$) is

The boiling point of water is exceptionally high because

Which anion is the weakest base?

A bag contains $3$ white and $5$ black balls. One ball is drawn at random. Then the probability that it is white 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 ball is dropped from height h and another from $2h.$ The ratio of time taken by the two balls to reach the ground is

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

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

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

A cube has a side of length $1.2 \times 10^{-2} m$. Calculate its volume.

Equation of the bisector of the acute angle between lines $3x + 4y + 5 = 0$ and $12x -5y - 7 = 0$ is

Fast neutrons can easily be solved down by

In which of the following molecules $S$ atom does not assume $sp ^{3}$ hybridsation?

$1 \,L$ 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?

$K _{ b }$ for water is $0.52\, K / m$. Then $0.1 \,m$ solution of $NaCl$ will boil approximately at:

A steady current flow in a metallic conductor of non-uniform cross-section. The quantity/quantities remaining constant along the whole length of the conductor is/are

A synthetic rubber which is resistant to the action of oils, gasoline and other solvents is

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

Natural length of a spring is $60 \,cm$ and its spring constant is $4000 \,N / m$. A mass of $20\, kg$ is hung from it. The extension produced in the spring is $\left(\right.$ take $\left.g=9.8 \,m / s ^{2}\right)$ :

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:-

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

Which of the following does not contain any coordinate bond?

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 $1\, L$ )

Ozone depletion over Antarctica is due to the

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