List of practice Questions

When the coordinate axes are rotated about the origin in the positive direction through an angle $\frac{\pi}{4}$, if the equation $25 x^2 + 9y^2 = 225$ is transformed to $\alpha x^2 + \beta xy + \gamma y^2 = \delta$, then $(\alpha + \beta + \gamma - \sqrt{\delta})^2$ =

Which of the following features of genetic code does allow bacteria to produce human insulin by recombinant DNA technology ?

The reaction in which $\Delta H > \Delta U$ is

Which of the following orders are correct against the property given? I) dipole moment : $NF_3 > NH_3 >BF_3$ II) Covalent bond length : $C - O > N - O > O - H$ III) Bond order : $C_2 > B_2 > He_2$

The mass of AgCl precipitated when a solution containing 11.70 g of NaCl is added to a solution containing 3.4 g of AgNO3 is [Atomic mass of Ag = 108, Atomic mass of Na = 23]

A circular current loop of magnetic moment M is in an arbitrary orientation in an external uniform magnetic field $\overrightarrow{B}$ . The work done to rotate the loop by 30? about an axis perpendicular to its plane is

If A and B are two events of a sample space S such that P(A) = 0.2, P(B) = 0.6 and P(A | B) = 0.5 then P(A?| B)=

If ?X? has a binomial distribution with parameters n = 6, p and P(X = 2) = 12, P(X = 3) = 5 then P =

Match the Column-1 with Column-II: Select the correct option from the following:

The number of structural isomers for $ {C_6H_{14}}$ is

Which of the following cell organelles is present in the highest number in secretory cells?

Which of the following pair of organelles does not contain DNA ?

Which of the following statements regarding mitochondria is incorrect ?

Which of the following is a commercial blood cholesterol lowering agent ?

Find the height of liquid in capillary tube if surface tension of liquid is S, radius of capillary tube is r and acceleration due to gravity is g:

A random variable ?X? has the following probability distribution: x 1 2 3 4 5 6 7 P(x) k-1 3k k 3k $3k^2$ $k^2$ $k^2 + k$ Then the value of k is

When an object is shot from the bottom of a long smooth inclined plane kept at an angle $60^\circ$ with horizontal, it can travel a distance $x_1$ along the plane. But when the inclination is decreased to $30^{\circ}$ and the same object is shot with the same velocity, it can travel $x_2$ distance. Then $x_1$ : $x_2$ will be:

A non-volatile solute, ?A? tetramerises in water to the extent of 80%. 2.5 g of ?A? in 100 g of water, lowers the freezing point by 0.3 ?C. the molar mass of ? in mol L-1 is (Kf for water = 1.86 K kg mol-1)

Consider following features: (a) Organ system level of organisation (b) Bilateral symmetry (c) True coelomates with segmentation of body Select the correct option of animal groups which possess all the above characteristics.

A body weighs $200\,N$ on the surface of the earth How much will it weigh half way down to the centre of the earth ?

If same charge 'q' is placed inside a sphere and cube, having radius 1 m and side 2 m respectively. What will be the ratio of flux passing through them:

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion: Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth.
Reason: Orbital velocity of a satellite is greater than its escape velocity.
In the light of the above statements, choose the correct answer from the options given below

Among the following, the main reactions occurring in blast furnace during extraction of iron from haematite are 1. $Fe_{2}O_{3} + 3CO \to 2Fe + 3CO_{2}$ 2. $FeO + SiO_{2} \to FeSiO_{3}$ 3. $Fe_{2}O_{3} + 3C \to 2Fe + 3CO$ 4. $CaO + SiO_{2} \to CaSiO_{3}$

An aqueous solution of CuSO4 is subjected to electrolysis using inert electrodes. The pH of the solution will