List of practice Questions

Two spheres A and B having respective charges 6 C and 12 C placed at a distance $ d $ repel each other by a force $ F $. The charge given to sphere A to reverse the force as $ -F $ is:

Explain the following terms:
(a) Grafting
(b) Apomixis
(c) Polyembryony
(d) Parthenocarpy

In a group of 150 students, 52 like tea, 48 like juice, and 62 like coffee. If each student in the group likes at least one among tea, juice, and coffee, then the maximum number of students that like more than one drink is _______________.

Consider an enzyme that follows simple Michaelis-Menten kinetics, and has a $ 𝐾_𝑀 of 5 µ𝑀$. The initial velocity of the reaction will be 10% of the maximum velocity at a substrate concentration of µ𝑀 (rounded off to two decimal places).

Whose theory is called 'the pure theory of law'?

Amorphous substances show

Look at this series: 22, 21, 23, 22, 24, 23, ….. What number should come next?

The expression $(6 + 5\sqrt{3}) - (4 - 3\sqrt{3})$ is:

If $ \times $ means $ \div $, $ \div $ means $ + $, $ + $ means $ - $, and $ - $ means $ \times $, then calculate: \[ 2 \, \, 50 \, \, 40 \, \, 10 \, \, 96 \, ? \, - \, + \, \times \, \div \]

At 290 K, a vessel (I) contains equal moles of three liquids (A, B, C). The boiling points of A, B, and C are 348 K, 378 K, and 368 K respectively. Vessel (I) is heated to 300 K and vapors were collected into vessel (II). Identify the correct statements. (Assume vessel (I) contains liquids and vapors and vessel (II) contains only vapors.)
Statements:
I.Vessel – I is rich in liquid
II.Vessel – II is rich in vapors of C.
III. The vapor pressures of A, B, and C in Vessel (I) at 300 K follows the order $ C>A>B $.

An 18-year-old male accused of rape claims he is 16 years old. Which joint X-ray should be done?

For n ≥ 3, let a regular n-sided polygon P_n be circumscribed by a circle of radius R_n and let r_n be the radius of the circle inscribed in P_n. Then
$\lim\limits_{n \rightarrow \infin}(\frac{R_n}{r_n})^{n^2}$
equals

What is the chemical name of Vitamin B6?

The divergence of a 3-dimensional vector $\frac{𝑟̂}{𝑟^3}$ (𝑟̂ is the unit radial vector) is:

A patient presents with no pulse, and the ECG shows the following rhythm. What is the next appropriate step?

The covering of an omphalocele is derived from which layer?

Which part of the compound microscope helps in gathering and focusing light rays on the specimen to be viewed?

Choose the correct sequence of steps in Respiration.

A satellite of mass 10kg, in a circular orbit around a planet, is having a speed 𝑣=200m/s. The total energy of the satellite is _______kJ. (Rounded off to nearest integer)

Fog is a solution of:

The design technique, adopted in design of large water supply networks, as an aid to simplify and separate the smaller loops is

Flame peeling is generally used for

The ground state of [Cr(H₂O)₆]²⁺ is

The faces in a tetragon are

If $ y = Ae^x + B $ where $ A, B $ are constants, then show that $ \frac{d^2y}{dx^2} - \frac{dy}{dx} = 0 $.