List of practice Questions

If the coefficients of \(x^5\) and \(x^6\) are equal in the expansion of \( \left( a + \frac{x}{5} \right)^{65} \), then the coefficient of \(x^2\) in the expansion of \( \left( a + \frac{x}{5} \right)^4 \) is:

Who gives the idea of cell arising from pre-existing cells?

Fucoxanthin pigment grants ------ color.

Ammonia is synthesized in the Haber process in the following reaction.
$𝑁_2 (𝑔) + 3𝐻_2 (𝑔) → 2𝑁𝐻_3(𝑔)$
The temperature above which the reaction becomes spontaneous is __________ 𝐾 (rounded off to one decimal place).
($\bigtriangleup 𝐻^0 = −92.2 𝑘𝐽, \bigtriangleup 𝑆^0 = −199 𝐽𝐾^{ −1}$ )

A cylinder contains 50 𝐿 of an ideal gas at a pressure of 50 𝑎𝑡𝑚. Assuming that the temperature remains unchanged, the volume of the gas at 1 𝑎𝑡𝑚 is __________ 𝐿 (rounded off to the nearest integer).

Thermite welding is caused by the formation of which compound?

The de Broglie wavelength of an electron with kinetic energy of \( 2.5 \) eV is (in m): \[ (1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}, \quad m_e = 9 \times 10^{-31} \text{ kg}) \]

More than three million carbon compounds have been discovered in the field of chemistry. The diversity of these compounds is due to the capacity of carbon atoms for bonding with one another as well as with other atoms. Most of the carbon compounds are poor conductors of electricity and have low melting and boiling points.

Human digestive system is a tube running from mouth to anus. Its main function is to breakdown complex molecules present in the food which cannot be absorbed as such into smaller molecules. These molecules are absorbed across the walls of the tube and the absorbed food reaches each and every cell of the body where it is utilised for obtaining energy.

Melting rates of electrodes in manual metal arc welding process is mainly governed by the

The maximum area of a rectangle that can be inscribed in a circle of radius $R$ is

What terms will fill the blank space in the following series ? A, Z, X, B, V, T, C, R, ______,_________

Ionic character of the covalent bonds in the compounds Cl2, HCl, NaCl, NaF follows the order

The circuit shown in Figure is equivalent to a load of

Figureisequivalenttoaloadof

What is the output of the following C program segment?
int j = 7;
printf("%d, %d", j++, j--);}

Considering the operation given in Figure E, what is the result of the operation in Figure F?

operation given in Figure E,

A student has three convex lenses A, B, and C of different focal lengths. He wants to observe the images formed by these lenses on a screen by placing a candle flame at different distances as given in the following table:

Case No.	Lens	Focal Length	Object Distance
1	\(A\)	50 cm	25 cm
2	B	20 cm	60 cm
3	C	15 cm	30 cm

Consider the unbalanced chemical equations of the chemical reactions listed below:

\(\text{CaO} + \text{H}_2\text{O} \rightarrow \text{Ca(OH)}_2\)
\(\text{Pb(NO}_3\text{)}_2 \rightarrow \text{PbO} + \text{NO}_2 + \text{O}_2\)
\(\text{CuSO}_4 + \text{Fe} \rightarrow \text{FeSO}_4 + \text{Cu}\)
\(\text{Na}_2\text{SO}_4 + \text{BaCl}_2 \rightarrow \text{BaSO}_4 + \text{NaCl}\)

The maintenance functions of every living organism on the earth keeps going on even when they are not doing anything particular. The processes which together perform the job of maintenance of life are known as life processes. These processes are nutrition, respiration, transportation and excretion.

The set of all real values of \(x\) for which the expansion of: $$ \left( 125x^2 - \frac{27}{x} \right)^{-23} $$ is valid, is:

'A' is the wife of 'B' and 'B' is the brother of 'C'. 'C' is the son of 'D' who is the father of 'E'. Then how is 'D' related to 'A'?

The median of 75, 21, 56, 36, 81, 05, and 42 is

Two boys on either side of a temple of 45 meters height observe its top at the angles of elevation 30° and 60° respectively. Find the distance between the two boys.

Given below are two statements:
Statement (I): Voltinism in insects is number of generations produced in a year.
Statement (II): Morus alba is a perennial tree in northern India.
Choose the most appropriate answer from the options given below:

Given below are two statements:
Statement (I): Butterflies with erratic darting flights belong to family Hesperiidae.
Statement (II): Larvae with tapering at both ends without dorsal setae.