List of practice Questions

The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

If $^nC_4,\, ^nC_5$ and $^nC_6$ are in $A.P.$, then $n$ is

The ease of dehydrohalogenation of alkyl halide with alcoholic $KOH$ is

Among the alkenes which one produces tertiary butyl alcohol on acid hydration

Which one of the following will show optical isomerism?

If the molecular wt. of $Na_2S_2O_3$ and $I_2$ are $M_1$ and $M_2$ respectively, then what will be the equivalent wt. of $Na_2S_2O_3$ and $I_2$ in the following reaction? $\ce{2S2O^{2-}_3 + I2-> S4O^{2-}_6 + 2I-}$

An ammeter reads upto $1A$. Its internal resistance is $0.81\, \Omega$ . To increase the range to $10\, A$, the value of the required shunt is

Histone octamer contains

If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to

Let $f(x) = \tan^{-1}x$. Then $f'(x) + f''(x)$ is = $0$, when $x$ is equal to

Acidified $K_2Cr_2O_7 $ solution turns green when $Na_2SO_3 $ is added to it. This is due to the formation of

A boy standing at the top of a tower of $20\,m$ height drops a stone. Assuming $g = 10\, ms^{-2},$ the velocity with which it hits the ground is

Select the correct statement with respect to disease and immunization :

Which one of the following acts as a physiological barrier to the entry of microorganisms in human body ?

The number $(101)^{100} - 1$ is divisible by

A current of $2\,A$ flows through a $2\, \Omega$ resistor when connected across a battery. The same battery supplies a current of $0.5\, A$ when connected across a $9\, \Omega$ resistor. The internal resistance of the battery is

Which one of the following statements is not true regarding $(+)$ lactose?

Which of the following is not a fat soluble vitamin ?

ln the nuclear reaction $ _7^{14} N + X \rightarrow _6^{14} C + _1^1 H, $ the $X$ will be

A balanced diet does NOT include.....................

As per the guidelines of the Indian Red Cross society, which of the following persons is recommended for blood donation?

A clone is _____ .

Casparian strips are present in the.......... of the root.

A transformer works on the principle of

$25\,g$ of each of the following gases are taken at $27^\circ C$ and $600\, mm$ pressure. Which of these will have the least volume?