KVPY (SA) Mock ...

The number of non-negative real roots of 2^x - x - 1 = 0 is

If a³ + b³ + c³ = 3abc, then a + b is equal to

If one root of the equation ax² + bx + c = 0 is twice the other, then

Let S_n be the sum of all integers 'k' such that 2ⁿ < k < 20^{n + 1}, for n ≥ 1. Then, 9 divides S_n if and only if

Two projectiles are fired from the same point with the same speed at angles of projection of 60^o and 30^o. Which one of the following is true?

Two blocks of the same volume with densities ρ₁ and ρ₂, such that ρ₁ > ρ₂ > ρ_w, are immersed in water (density = ρ_w). If the buoyant force experienced by m₁ is F₁ and that by m₂ is F₂, then

A torch welder is working without his safety glasses. Which of the following parts of his eyes is most likely to get affected?

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10V. The potential at a distance of 2cm from the centre of the sphere is

A planet of mass m is moving around a star of mass M and radius R in a circular orbit of radius r. The star abruptly shrinks to half its radius without any loss of mass. What change will be there in the orbit of the planet?

The IUPAC name of acetaldehyde (CH₃CHO) is ________.

Which of the following elements has the greatest tendency to lose electrons?

Which of the following compounds has the highest value of dipole moment?

What are the main products of the oxidation of alkene with ozone?

Since the enthalpy of elements in their standard state is taken to be zero, the heat of formation of a compound (ΔH_f)

Besides urination, another important activity in which water is substantially lost from the body is

Which part of the nerve cell contains a nucleus?

A human male bearing an allele for a trait on the X chromosome is termed as

In the cell cycle, when will the synthesis of RNA be stopped?

Gram-positive bacteria are those which

Match the following:

A diabetic patient is on insulin. Which of the following cells might have been damaged in this person?

Haemodialysis is a treatment option for patients with malfunctions of

Bile salts

Which of the following pairs is a mismatch?

Lacteals are tiny lymphatic vessels. Where are these found in the body?

Hyposecretion of which hormone causes diabetes?

Which of the following cell structures is/are associated with oxidative phosphorylation?

If f(x) = x³ - 4x + p and f(0) and f(1) have opposite signs, then which of the following is necessarily true?

The following question has four choices out of which ONLY ONE is correct.

The quadratic equation with rational coefficients, whose one root is i - 1, is

A solid square plate is spun around different axes with the same angular speed. In which of the following choices of axis of rotation will the kinetic energy of the plate be the largest?

BF₃ is a

The percentage of s character of the hybrid orbitals of carbon in ethane, ethene and ethyne, respectively is

Which of the following is a correct set of vestigial organs?

A couple has a daughter suffering from Tay Sachs disease, and 4 normal children. Neither parent nor any of the four biological grandparents of the affected daughter had this disease. The most likely genetic condition leading to Tay Sachs disease is

What is the pattern of connection of two strands of DNA?

Mr. X, while drowning, simply failed to try to save himself, even though he was a good swimmer. He must have suffered from ________ neurological disorder.

Which of the following is the inflammation of the lining of the rectal mucosa?