KVPY Class-XI (...

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is

Let f(x) be a quadratic polynomial with f(2) = 10 and f(- 2) = - 2. Then the coefficient of x in f(x) is

Let S = {1, 2, 3, ……., 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?

Which of the following statements is true about the flow of electrons in an electric circuit?

In the Arctic region hemispherical houses called igloos are made of ice. It is possible to maintain a temperature inside an igloo as high as 20°C because

Which statement about the Rutherford model of the atom is NOT true?

A girl brings a positively charged rod near a thin neutral stream of water from a tap. She observes that the water stream bends towards her. Instead, if she were to bring a negatively charged rod near to the stream, it will

Among the following, the most basic oxide is

Among the quantities, density (ρ), temperature (T), enthalpy (H), heat capacity (C_p), volume (V) and pressure (P), a set of intensive variables are

The value of `x` in KAl(SO₄)_x.12H₂O is

A reaction with reaction quotient Qc and equilibrium constant K_c, will proceed in the direction of the products when

Acetylsalicyclic acid is a pain killer and is commonly known as

The molecule which does not exhibit strong hydrogen bonding is

A smear of blood from a healthy individual is stained with a nuclear stain called hematoxylin and then observed under a light microscope. Which of the following cell types would be highest in number?

Which of the following biological phenomena involves a bacteriophage?

In which compartment of a cell does the process of glycolysis take place?

Huntington`s disease is a disease of the

A cell will experience the highest level of endosmosis when it is kept in

When the leaf of the `touch-me-not` (chui-mui, Mimosa pudica) plant is touched, the leaf droops because

If you are seeing mangroves around you, which part of India are you visiting?

Myeloid tissue is a type of

The heart of an amphibian is usually

Gigantism and acromegaly are due to defects in the function of the following gland:

Which one of the following organelles can synthesise some of its own proteins?

Maltose is a polymer of

The roots of some higher plants get associated with a fungal partner. The roots provide food to the fungus while the fungus supplies water to the roots. The structure so formed is known as

Prehistoric forms of life are found in fossils. The probability of finding fossils of more complex organisms

Upon fully dissolving 2.0 g of a metal in sulfuric acid, 6.8 g of the metal sulfate is formed. The equivalent weight of the metal is

Upon mixing equal volumes of aqueous solutions of 0.1 M HCI and 0.2 M H₂SO₄, the concentration of H⁺ in the resulting solution is

The number of moles of Br₂ produced when two moles of potassium permanganate are treated with excess potassium bromide in aqueous acid medium is

A baby is born with the normal number and distribution of rods, but no cones in his eyes. We would expect that the baby would be

In mammals, pleural membranes cover the lungs as well as insides of the rib cage. The pleural fluid in between the two membranes

At which phase of the cell cycle is DNA polymerase activity at its highest?

Usain Bolt, an Olympic runner, at the end of a 100 meter sprint, will have more of which of the following in his muscles?

Desert temperature often varies between 0 to 50 °C. The DNA polymerase isolated from a camel living in the desert will be able to synthesise DNA most efficiently at