List of practice Questions

If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to

In how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?

Area of the region satisfying $x \leq 2, y \leq|x|, x-$ axis and $x \geq 0$ is:

If average velocity becomes $4$ times then t-hat will be the effect on rms velocity at that Temperature?

Given standard electrode potentials $Fe ^{2}:+2 e ^{-} \longrightarrow Fe E ^{\circ}=-0 \cdot 440 \,V$ $Fe ^{3+}+3 e ^{-} \longrightarrow Fe E ^{\circ}=-0 \cdot 036\, V$ The standard electrode potential $\left(E^{\circ}\right)$ for $Fe ^{3+}+ e ^{-} \longrightarrow Fe ^{2+}$ is :

The displacement of a charge $Q$ in the electric field $E=e_{1} 1+e_{2} j+e_{3} k$ is $r=a i+b j$. The work done is

The minimum value of $2x + 3y,$ when $xy = 6,$ is

The ratio of $Fe _{2} O _{3}$ and $Al$, in thermite is:

Which of the following ketones will not respond to iodoform test?

A solution of sucrose (Molar mass = $342\,g/mol$) is prepared by dissolving $68.4\, g$ of it per litre of solution, what is its osmotic pressure ($R = 0.082 \,L$ atom $K^{-1}$ $mol^{-1}$) at $273\, K$?

$H_2O_2$ used in rocket has the concentration

Setting of plaster of Peris involves

Tautomerism is exhibited by

For all complex numbers $z _{1}, z _{2}$ satisfying $\left| z _{1}\right|=12$ and $\left| z _{2}-(3+4 i )\right|=5$, the minimum value of $\left|z_{1}-z_{2}\right|$ is

Which of the most volatile compounds?

The compound which gives the most stable carbonium ion on dehydration is

For a reaction equilibrium, $N _{2} O _{4}( g ) \rightleftharpoons 2 NO _{2}( g )$, the concentrations of $N _{2} O _{4}$ and $NO _{2}$ at equilibrium are $4.8 \times 10^{-2}$ and $1.2 \times 10^{-2}\, mol / L$ respectively. The value of $k$, for the reaction is:

The political masters of the health care system have not listened to professional health planners because it has not been profitable for them to do that thing.This questions has an underlined part. Choose the option that best replaces the underlined part. Answer option (2) repeats the original.

Most bacterial population grown in controlled conditions will quickly expand to limit the food supply, produce toxic waste productsthat inhibit further growth, and reached the equilibrium state within a relatively short time.This questions has an underlined part. Choose the option that best replaces the underlined part. Answer option (2) repeats the original.

It could be argued that the most significant virtue of a popular democracy is not the right to participate in the selection of leaders, but rather that it affirms our importance in the scheme of things.This questions has an underlined part. Choose the option that best replaces the underlined part. Answer option (2) repeats the original.

Long popular among the connoisseurs of Indian music, Ravi Shankar first impressed western listeners with his phenomenal technical virtuosity, but they soon came to appreciate his music as an artful expression of an older culture’s musical insight.This questions has an underlined part. Choose the option that best replaces the underlined part. Answer option (2) repeats the original.

Professionals focus their ........ on fulfilling their responsibilities and achieving results, not on ......... a particular image.

When you are living with your ........ values and principles, you can be straightforward, honest and ........

In the role of a counsellor, you are an authority figure whose objective is to ....... attentively and sensitively to employees who ..........you with their feelings.

If a junior executive neglects his professional development and ............ education, he can easily and quickly become obsolete in a world changing at ............ rates.