List of practice Questions

Select from the following a plant hormone which promotes cell division.
Part(s) of a flower which attracts insects for pollination is (are)
In an experiment to study independent inheritance of two separate traits: shape and colour of seeds, the ratio of the different combinations in F2 progeny would be
Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, what is the time required to fill the tank ?
Which of the following compounds has the highest boiling point?
Given below are two statements :
Statement I : Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford’s model.
Statement II : An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford’s model.
In the light of the above statements, choose the most appropriate from the options given below.
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:

During the British rule, India’s foreign trade had various features except _________ .

Let \( f : \mathbb{R} \to \mathbb{R} \) be a thrice differentiable function such that \[ f(0) = 0, \, f(1) = 1, \, f(2) = -1, \, f(3) = 2, \, \text{and} \, f(4) = -2. \] Then, the minimum number of zeros of \( (3f' f' + f'') (x) \) is:
Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?
To find the spring constant (k) of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in measurement of mass. The percentage error in determining value of k is :
Who gives the idea of cell arising from pre-existing cells?
The value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:

Use the following figure to find \( x^\circ \) and \( y^\circ \):

Given \[ A = \begin{bmatrix} 0 & 1 & 2 \\ 4 & 0 & 3 \\ 2 & 4 & 0 \end{bmatrix} \] \(\quad B \text{ is a matrix such that }\) \(AB = BA. \text{ If } AB \text{ is not an identity matrix, then the matrix that can be taken as } B \text{ is:} \)
The coefficient of the highest power of \(x\) in the expansion of \((x + \sqrt{x^2 - 1})^8 + (x - \sqrt{x^2 - 1})^8\) is:
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?
If \( S = \{ a \in \mathbb{R} : |2a - 1| = 3[a] + 2\{a\} \} \), where \([t]\) denotes the greatest integer less than or equal to \(t\) and \(\{t\}\) represents the fractional part of \(t\), then \( 72 \sum_{a \in S} a \) is equal to _________.

In the following species, how many species have the same magnetic moment? 
(i) Cr\(^{2+}\) 
(ii) Mn\(^{3+}\) 
(iii) Ni\(^{2+}\) 
(iv) Sc\(^{2+}\) 
(v) Zn\(^{2+}\) 
(vi) V\(^{3+}\) 
(vii) Ti\(^{4+}\) 
 

If the system of linear equations \(x - 2y + z = -4\); \(2x + αy + 3z = 5\) and \(3x - y + βz = 3\) has infinitely many solutions then \(12α + 13β\) is equal to
Three point charges, each of charge \( q \), are placed on vertices of a triangle \( ABC \), with \( AB = AC = 5L \), \( BC = 6L \). The electrostatic potential at the midpoint of side \( BC \) will be:
The de Broglie wavelength of an electron with kinetic energy of \( 2.5 \) eV is (in m): \[ (1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}, \quad m_e = 9 \times 10^{-31} \text{ kg}) \]