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KVPY SB/SX Mock...

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  • Question 1
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    Let S = {1, 2, 3, ...., n} and A = {(a, b) | 1 ≤ a, b ≤ n} = S × S. A subset B of A is said to be a good subset if (x, x) ∈ B for every x ∈ S. Then, the number of good subsets of A is

  • Question 2
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    Let ao = 0 and an = 3an - 1 + 1 for n ≥ 1. Then, the remainder obtained after dividing a2010 by 11 is:

  • Question 3
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    A uniform non-deformable cylinder of mass m and radius R is rolling without slipping on a horizontal rough surface. The force of friction

  • Question 4
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    A piece of hot copper at 100oC is plunged into a pond at 30oC. The copper cools down to 30oC, while the pond, being huge, stays at its initial temperature. Then,

  • Question 5
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    Doping silicon with boron produces a/an

  • Question 6
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    The concentration of a substance undergoing a chemical reaction becomes one-half of its original value after time t regardless of the initial concentration. The reaction is an example of a

  • Question 7
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    An ionic compound is formed between a metal M and a non metal Y. If M occupies half the octahedral voids in the cubic close packed arrangement formed by Y, the chemical formula of the ionic compound is

  • Question 8
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    Plants are attracted to light through the hormonal action of which of the following?

  • Question 9
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    Nucleotides are monomers of DNA. Each nucleotide consists of a

  • Question 10
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    Earthworms are bisexual but still cross-fertilisation is common. This is because

  • Question 11
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    Wooden doors and windows swell up in the rainy season by

  • Question 12
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    Peptic ulcers are caused by

  • Question 13
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    By which of the following mechanisms is glucose reabsorbed from the glomerular filtrate by the kidney tubule?

  • Question 14
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    Plant roots are usually devoid of chlorophyll and cannot perform photosynthesis. However, three are exceptions. Which of the following plant roots can perform photosynthesis?

  • Question 15
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    In a food chain such as grass → deer → lion, the energy cost of respiration as a proportion of total assimilated energy at each level would be

  • Question 16
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    If the total number of photons falling per unit area of a leaf per minute is kept constant, then which of the following will result in maximum photosynthesis?

  • Question 17
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    When a person is suffering from high fever, it is sometimes observed that the skin has a reddish tinge. Why does this happen?

  • Question 18
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    Conversion of the Bt protoxin produced by Bacillus thuringiensis to its active form in the gut of the insects is mediated by

  • Question 19
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    Estimate the order of the speed of propagation of an action potential or nerve impulse.

  • Question 20
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    The Na+/K+ pump is present in the plasma membrane of mammalian cells where it

  • Question 21
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    Patients who have undergone organ transplants are given anti-rejection medications to

  • Question 22
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    The process of organogenesis starts as soon as the three germ layers are formed in a developing embryo. The human brain is formed from the

  • Question 23
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    An electrode is placed in the axoplasm of a mammalian axon and another electrode is placed just outside the axon. The potential difference measured will be

  • Question 24
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    Genetic content of a cell reduces to half during

  • Question 25
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    The two enzymatic activities associated with RuBisCo are

  • Question 26
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    In orange and lemon, the edible part of the fruit is

  • Question 27
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    In vertebrates, 'glycogen' is stored chiefly in

  • Question 28
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    A polynomial P(x) with real coefficients has the property that P''(x) ≠ 0 for all x. Suppose P(0) = 1 and P'(0) = -1. What can you say about P(1)?

  • Question 29
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    Suppose m, n are positive integers such that 6m + 2m+n.3+ 2n = 332. The value of the expression m2 + mn + n2 is

  • Question 30
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    Emulsification of 10 ml of oil in water produces 2.4 × 1018 droplets. If the surface tension at the oil – water interface is 0.03 Jm-2 and the area of each droplet is 12.5 × 10 -16 m2, then the energy spent in the formation of oil droplets is

  • Question 31
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    E. coli has an optimal temperature of 37°C. Which of the following is an INCORRECT explanation for this?

  • Question 32
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    Energetically unfavourable reactions occur in human cells through

  • Question 33
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    The restriction endonuclease EcoR-I recognises and cleaves DNA sequence as shown below:

    5' - G A A T T C – 3'
    3' – C T T A A G – 5'

    What is the probable number of cleavage sites that can occur in a 10 kb long random DNA sequence?

  • Question 34
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    Insects constitute the largest animal group on earth. About 25-30% of the insect species are known to be herbivores. In spite of such huge herbivore pressure, globally, green plants have persisted. One possible reason for this persistence is that

  • Question 35
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    You mark two ink-spots along the height at the base of a coconut tree and also at the top of the tree. When you examine the spots next year when the tree has grown taller, you will see that

  • Question 36
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    E.coli was pulsed with tritiated thymidine for 5 min and then transferred to normal medium. Which of the following observations would be correct after one cell division?

  • Question 37
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    The length of one complete turn of a DNA double helix is

  • Question 38
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    Presence of plastids in plasmodium suggests it is a

  • Question 39
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    Lions in India are currently restricted to Gir, Gujarat. Efforts are being made to move them to other parts of the country. This is because they are most susceptible to extinction due to infectious diseases under the following conditions when present as

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