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KVPY (SA) Mock Test - 1

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KVPY (SA) Mock Test - 1
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  • Question 1
    1 / -0

    The number of solutions of x2 – 7|x| + 12 = 0 is

    Solution

    x2 – 7 |x|+ 12 = 0
    x2 – 7x + 12 = 0
    x2 – 4x – 3x + 12 = 0

    x( x – 4) – 3(x – 4) = 0
    (x – 4) (x – 3) = 0
    x - 4 = 0 or x – 3 = 0

    x = 4 or x = 3
    x2 – (- 7x) + 12 = 0
    x2 + 4x + 3x + 12 = 0

    x( x + 4) + 3(x + 4) = 0
    (x + 4) (x + 3) = 0

    x + 4 = 0 or x + 3 = 0
    x = - 4 or x = - 3

    So in total there are 4 solutions of x = 4, 3, - 4, - 3

     

  • Question 2
    1 / -0

    Directions For Questions

    A question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements is sufficient to answer the question.

    ...view full instructions

    What is the perimeter of the square?
    I. The square is within a circle.
    II. A circle of radius 4 cm passes through the four vertices of the square.

    Solution

    Perimeter of square = ?
    (I) The square is withing a circle.
    No dimension of either square or circle is given, so it is not possible to find the side of the square; hence, perimeter would not be found out.

    (II) Radius of the circle = 4 cm
    If radius is known, the diagonal of the square could be found which is nothing but diameter of the circle. Once diagonal is known, the side of the square could be found out by using Pythagoras theorem.
    Hence, only statement II alone is sufficient to answer the question.

     

  • Question 3
    1 / -0

    The note "Saa" on the Sarod and the Sitar has the same pitch. The property of sound that is most important in distinguishing between the two instruments is

    Solution

    Waveform is the most important property in distinguishing between the two instruments.

    We cannot distinguish between the two instruments on the basis of displacement amplitude or fundamental frequency or intensity.

     

  • Question 4
    1 / -0

    Which of the following colours cannot be distinguished by a person suffering from colour blindness?

    Solution

    Colour blindness is a defect of the eye due to which a person is not able to distinguish between certain colours. 99% of the total colour blind people are unable to distinguish between red and green colours.

     

  • Question 5
    1 / -0

    Two identical blocks of metal are at 20°C and 80°C, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature Tf when the two blocks are bought into contact (assuming that no heat is lost to the surroundings)?

    Solution

    As it is given that specific heat S increases with temperature, S at 80oC would be greater than S at 20oC.

    Since average temperature will be 50oC but decrease in temperature of body with 80oC will be less than increase in temperature of body with 20oC because of the specific heat; final temperature will be more than 50oC.

     

  • Question 6
    1 / -0

    We sit in the room with windows open. Then,

    Solution

    We sit in the room with windows open. The air pressure is nearly the same on the floor, the walls and the ceiling because the height of the room is very small as compared to the height of the atmosphere.

     

  • Question 7
    1 / -0

    The IUPAC name of –C2H5OH i

    Solution

    The IUPAC name of –C2H5OH alcohol is ethanol.

     

  • Question 8
    1 / -0

    Which of the following options was compared with the dry fruits in a spherical Christmas pudding in the Thomson's model of atom?

    Solution

    Electron was compared with the dry fruits in a spherical Christmas pudding in the Thomson's model of atom.

     

  • Question 9
    1 / -0

    Order of hybridisation (of carbon) in methane, ethylene and acetylene will be, respectively

    Solution

    In structure of methane there is no double bond, therefore form sp3 structure on hybridisation. Ethylene contains one double bond in its structure therefore form sp2 structure on hybridisation and acetylene contain one triple bond therefore it form sp type structure.

     

  • Question 10
    1 / -0

    The electronic configuration of 1s2, 2s2 2p6, 3s2, 3p3 corresponds to

    Solution

    The electronic configuration of 1s2, 2s2 2p6, 3s2, 3p3 corresponds to element with atomin number 15. So the element is phosphorus.

     

  • Question 11
    1 / -0

    The electronic configuration of a dipositive ion M is 2, 8, 14 and its atomic weight is 56. The number of neutrons in the nucleus would be ____________.

    Solution

    M2+ has total number of electrons = 2 + 8 + 14 = 24
    Thus, atomic atomic number of M is: 24 + 2 = 26
    Number of neutrons = atomic mass - atomic number = 56 - 26 = 30

     

  • Question 12
    1 / -0

    The geometry & the dipole moment of H2S is

    Solution

    Due to the presence of 2 bond pair and two lone pairs, H2S has angular and has non-zero dipole moment.

     

  • Question 13
    1 / -0

    The value of univeral gas constant 'R' depends only on the

    Solution

    The value of univeral gas constant 'R' depends only on the units of the measurements.

     

  • Question 14
    1 / -0

    Which one the following sets of ions represents the collection of isoelectronic species?

    Solution

    isoelectronic species have equal number of electrons.

    (a) Number of electrons in K(atomic number 19): 18

    (b) Number of electrons in Ca2+ (atomic number 20): 18

    (c) Number of electrons in Sc3+ (atomic number 21): 18

    (d) Number of electrons in Cl(atomic number 17): 18

    Hence, K+, Ca2+, Sc3+, Cl- are isoelectronic species.

     

  • Question 15
    1 / -0

    The plasma resembles in its composition with the filtrate found in the Bowman's capsule except for the presence of

    Solution

    The plasma resembles in its composition with the filtrate found in the Bowman's capsule except for the presence of proteins.

     

  • Question 16
    1 / -0

    Which of the following is the master gland of the body?

    Solution

    Pituitary gland is the master gland of the body.

     

  • Question 17
    1 / -0

    Which of the following diseases cannot be prevented by vaccines?

    Solution

    These diseases cannot be prevented by vaccination.

     

  • Question 18
    1 / -0

    Identify from the following, the disease that enters the human body through mosquito bite and affects the brain.

    Solution

    It spreads through a mosquito bite and affects the brain.

     

  • Question 19
    1 / -0

    A disease transmitted by sexual contact is

    Solution

    A disease transmitted by sexual contact is AIDS. Its virus gets transmitted through contact with infected blood, semen or vaginal fluids. Its symptoms are weight loss, fever, fatigue and recurrent infections.

     

  • Question 20
    1 / -0

    An individual has O blood group. His/her blood sample

    Solution

    If the blood cells clump (agglutinate), the antibody has bound to the appropriate antigen on the cells. Blood group O does not clump when either antiserum A or antiserum B is added because it has no antigens present on its surface.

     

  • Question 21
    1 / -0

    Which base is present in RNA but not in DNA?

    Solution

    Thymine is present in DNA and absent in RNA. Uracil is present in RNA and absent in DNA.

     

  • Question 22
    1 / -0

    Which of the following is/are the smallest in size?

    Solution

    Viruses are the smallest. Specific kinds of viruses range in size from a few dozen nanometres up to about 1,000 nanometres or 1 micrometre.

     

  • Question 23
    1 / -0

    The connecting link between a mother's blood and foetal blood is termed as

    Solution

    An embryo gets nutrition from the mother's blood with the help of a special tissue called placenta. This is a disc which lies in the uterine wall and provides a large surface area for glucose and oxygen to pass from the mother to the embryo for its development. Also, it helps in the removal of waste material from the embryo into the mother's blood. So, the placenta acts as a connecting link between a mother's blood and foetal blood.

     

  • Question 24
    1 / -0

    What is the scientific name of housefly?

    Solution

    The housefly, Musca domestica, is a fly of the suborder Cyclorrhapha. It is believed to have evolved in the Cenozoic era, possibly in the Middle East, and has spread all over the world. It is the most common fly species found in habitations.

     

  • Question 25
    1 / -0

    Animals like tigers, wild buffaloes, barasingha, etc. are categorised as

    Solution

    Tigers, wild buffaloes, barasingha, etc. are endangered species.

     

  • Question 26
    1 / -0

    Dietary fibres are composed of

    Solution

    Fibre consists of non-starch polysaccharides, such as cellulose, dextrins, inulin, lignin, chitins, pectins, beta-glucans, waxes, and oligosaccharides.

     

  • Question 27
    1 / -0

    The structural adaptation in flowers that prevents self pollination is known as

    Solution

    The structural adaptation in flowers that prevents self pollination is known as herkogamy.

     

  • Question 28
    1 / -0

    The avian heart is __________.

    Solution

    Aves (birds) are warm blooded animals and have four chambered heart, e.g. ostrich, duck, etc. Mammals also have four chambered heart.
    Two-chambered heart- is found in pisces (fishes).

    Three-chambered heart – is found in amphibia (e.g. frogs, toads) and all reptiles (lizards, snakes) except crocodiles as they have four-chambered heart.
    Five chambered heart – is not present in any member of the animal kingdom.

     

  • Question 29
    1 / -0

    Two particles A and B, initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is V and that of B is 2V, the speed of the centre of mass of the system is

    Solution

    Since no external force acts on the system, the centre of mass will remain at rest. Hence, the correct choice is (1).

     

  • Question 30
    1 / -0

    Match the following:
     

    Column A Column B
    P. Translation i. Production of ribosomes
    Q. Nucleolus ii. Ribosomes
    R. Crick iii. DNA polymerase
    S. Replication iv. Central dogma
    Solution

    Ribosome is the organelle where translation occurs. Ribosomes are produced in the nucleolus. Francis Crick discovered Central dogma. Replication of DNA is brought about by DNA polymerase.

     

  • Question 31
    1 / -0

    The nucleolus, golgi complex and ER reform in which of the following phases of the cell cycle?

    Solution

    Nuclear envelope assembles around the chromosome clusters and nucleolus, golgi complex and ER reform in telophase.

     

  • Question 32
    1 / -0

    When do two chromatids of a chromosome separate from each other?

    Solution

    The poleward movement of chromatids of the chromosomes takes place during this phase.

     

  • Question 33
    1 / -0

    What is the triangular cartilaginous structure located between the tongue and the trachea called?

    Solution

    The larynx, or voice box, is a triangular cartilaginous structure located between the tongue and the trachea. It is protected anteriorly by the thyroid cartilage.

     

  • Question 34
    1 / -0

    What do you mean by Residual volume?

    Solution

    Residual volume is the amount of air remaining in the lungs after a forced exhalation.

     

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