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KVPY Exam Pattern, KVPY Questions with Answers Page 10

(#M40027240) KVPY QUESTION Mental Ability -2010 Keep an EYE

The number of roots of the equation cos^7θ – sin^4θ = 1 that lie in the interval [0, 2π] is-
(A) 2 (B) 3 (C) 4 (D) 8

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(#M40027239) KVPY QUESTION Mental Ability -2010 Keep an EYE

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB.
Suppose AN/NB = 2 and the area of triangle BKN is 6. The area of the triangle ABC is-
(A) 54 (B) 108
(C) 48 (D) not determinable with the above data

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(#M40027238) KVPY QUESTION Mental Ability -2010 Keep an EYE

A circle touches the parabola y^2 = 4x at (1, 2) and also touches its directrix. The y-coordinates of the point of
contact of the circle and the directrix is-

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(#M40027237) KVPY QUESTION Mental Ability -2010 Keep an EYE

Let I, ω and ω2 be the cube roots of unity. The least possible degree of a polynomial, with real coefficients,
having 2ω^2, 3 + 4ω, 3 + 4ω^2 and 5 – ω – ω^2 as roots is-

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(#M40027236) KVPY QUESTION Mental Ability -2010 Keep an EYE

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular
polygon is-
(A) 66 (B) 30 (C) 24 (D) 15

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(#M40027234) KVPY QUESTION Physical Ability Test Keep an EYE

The length of one complete turn of a DNA double helix is-
(A) 34 Å (B) 34 nm (C) 3.4 Å (D) 3.4 μm

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(#M40027233) KVPY QUESTION Physical Ability Test Keep an EYE

Nocturnal animals have retinas that contain-
(A) a high percentage of rods to increase sensitivity to low light conditions
(B) a high percentage of cones so that nocturnal color vision can be improved in low light conditions
(C) an equal number of rods and cones so that vision can be optimized
(D) retinas with the photoreceptor layer present in the front of the eye to increase light sensitivity

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(#M40027232) KVPY QUESTION Physical Ability Test Keep an EYE

For a human male what is the probability that all the maternal chromosomes will end up in the same gamete

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(#M40027231) KVPY QUESTION Physical Ability Test Keep an EYE

Increasing the number of measurements of an experimental variable will-
(A) increase the standard error of the sample (B) increase the mean of the sample
(C) decrease the standard error of the sample (D) result in all of the above

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(#M40027230) KVPY QUESTION Physical Ability Test Keep an EYE

Selection of lysine auxotroph (bacteria which requires lysine for growth) from a mixed population of bacteria
can be done by growing the bacterial population in the presence of-
(A) lysine (B) penicillin (C) lysine and penicillin (D) glucose

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