List of practice Questions

Choose the correct sequence of no. of molecules formed when 6 mol of CO\textsubscript{2 enters into calvin cycle pathway}
Match the following
The correct option is:
Assertion (A) : Lactational amenorrhoea is a natural method of contraception.
Reason (R) : Ovulation in mother generally does not occurs during intense lactation following parturition. Identify the correct option from the following
Attraction of water molecules to polar surfaces in tracheary elements:
Assertion (A) : The parietal cells of gastric glands secrete Castle's intrinsic factor in man.
Reason (R) : Castle's intrinsic factor is essential for the absorption of cyanocobalamin.
Identify the correct option from the following
Choose the correct series of bacteria that cause Tetanus, Diphtheria, Crown gall and Blight, respectively
Number of nucleotides in viroid
Identify the floral formula of the following characters.
Ebracteolate, United perianth, pentacarpellary syncarpous, zygomorphic, superior ovary, bisexual.
Bond formed by DNA ligase
Choose the correct statements among the following:
I. Krishi Parasaram describes different types of forests.
II. Hieroglyphics are related to the crop plants in the form of pictures.
III. Jatropha and Pongamia are rich in hydrocarbons.
IV. C.G.K. Ramanujan studied the crystallization of enzyme urease.
What should come in place of the question mark (?) in the following alphanumeric series: A1X, B4P, E25J, J100F, ?
Explain any three security challenges faced by the newly independent countries of Asia and Africa after the Second World War.
Find the derivative of the function \( f(x) = \sin^{-1} \big( 2x \sqrt{1 - x^2} \big) \) with respect to \( x \), for \( x \in \left(-\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right) \).
\( \vec{i} - 2\vec{j} \) is a point on the line parallel to the vector \( 2\vec{i} + \vec{k} \). \( \vec{i} + 2\vec{j} \) is a point on the plane parallel to the vectors \( 2\vec{j} - \vec{k} \) and \( \vec{i} + 2\vec{k} \). Then, the point of intersection of the line and the plane is:
The probability that a person A completes a work in a given time is \( \dfrac{2}{3} \), and the probability that another person B completes the same work in the same time is \( \dfrac{3}{4} \). If both A and B start doing this work at the same time, then the probability that the work is completed in the given time is:
If $ \alpha, \beta, \gamma $ are the roots of the equation $ x^3 - 12x^2 + kx - 18 = 0 $ and one of them is thrice the sum of the other two, then $$ \alpha^2 + \beta^2 + \gamma^2 - k = ? $$
If $ \frac{x^4}{(x-1)(x-2)} = \frac{A}{x - 1} + \frac{B}{x - 2} $, then $$ f(-2) + A + B = ? $$
If the slopes of both the lines given by \[ x^2 + 2hxy + 6y^2 = 0 \] are positive and the angle between these lines is \[ \tan^{-1} \left(\frac{1}{7}\right), \] then the product of the perpendiculars drawn from the point \((1,0)\) to the given pair of lines is:
The differential equation corresponding to the family of parabolas whose axis is along $x = 1$ is
Identify the correct option from the following:
If \(|\vec{a}| = 2, |\vec{b}| = 3, |\vec{c}| = 5, |\vec{a} + \vec{b} + \vec{c}| = \sqrt{69}\) and angle between \((\vec{a}, \vec{b}) = \dfrac{\pi}{3}\), then angle between \((\vec{c}, \vec{a}) =\)
If $\frac{3x^2 - 7x + 1}{(x - 2)^3} = \frac{A}{x - 2} + \frac{B}{(x - 2)^2} + \frac{C}{(x - 2)^3}$, then $A(B + C + D + E) =$
If $y = \tan^{-1}(\frac{3x - x^3}{1-3x^2}) + \tan^{-1}(\frac{7x}{1-12x^2})$, then at $x=0$, $\frac{dy}{dx} =$
The general solution of the differential equation \( \frac{dy}{dx} = \frac{2x + y - 3}{2y - x + 3} \) is
A unit vector that is perpendicular to the vector \( 2\vec{i} - \vec{j} + 2\vec{k} \) and coplanar with the vectors \( \vec{i} + \vec{j} - \vec{k} \) and \( 2\vec{i} - 2\vec{j} - \vec{k} \) is
On a line with direction cosines l, m, n, \( A(x_1, y_1, z_1) \) is a fixed point. If \( B=(x_1+4kl, y_1+4km, z_1+4kn) \) and \( C=(x_1+kl, y_1+km, z_1+kn) \) (\(k>0\)) then the ratio in which the point B divides the line segment joining A and C is