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Frequently Asked KVPY Exam Pattern, KVPY Questions with Answers

(#M40027242) KVPY QUESTION Mental Ability -2010 Keep an EYE

Let f : R → R be a differentiable function such that f (a) = 0 = f (b) and f ′(a) f ′(b) > 0 for some a < b. Then
the minimum number of roots of f ′(x = 0 in the interval (a, b) is-
(A) 3 (B) 2 (C) 1 (D) 0

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(#M40027109) KVPY QUESTION General Ability Test Keep an EYE

The form of cancer called 'carcinoma' is associated with
(A) lymph cells (B) mesodermal cells (C) blood cells (D) epithelial cells

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(#M40027326) KVPY QUESTION Mental Ability-2010 Keep an EYE

The amino acid sequences of a bacterial protein and a human protein carrying out similar function are found
to be 60% identical. However the DNA sequences of the genes coding for these proteins are only 45%
identical. This is possible because-
(A) Protein sequence does not depend on DNA sequence
(B) DNA codons having different nucleotides in the third position can code for the same amino acids
(C) DNA codons having different nucleotides in the second position can code for the same amino acids
(D) Same DNA codons can code for multiple amino acids

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(#M40027195) KVPY QUESTION General Ability Test Keep an EYE

A protein with 100 amino acid residues has been translated based on triplet genetic code. Had the genetic
code been quadruplet, the gene that codes for the protein would have been-
(A) same in size
(B) longer in size by 25 %
(C) longer in size by 100 %
(D) shorter in size

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(#M40027082) KVPY QUESTION General Ability Test Keep an EYE

A cylindrical copper rod has length L and resistance R. If it is melted and formed into another rod of length 2L, the resistance will be
option
(A) R
(B) 2R
(C) 4R
(D) 8R

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(#M40027247) KVPY QUESTION Mental Ability -2010 Keep an EYE

How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd
digits appear at odd places and the number is divisible by 4 ?
(A) 3600 (B) 2700 (C) 2160 (D) 1440

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(#M40026981) KVPY QUESTION Mental Ability Keep an EYE

The number of ordered pairs (m, n), where m, n ∈{1, 2, 3, …… ,50}, such that 6^m + 9^n is a multiple of 5 is –
(A) 1250 (B) 2500 (C) 625 (D) 500

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(#M40027218) KVPY QUESTION Physical Ability Test Keep an EYE

At a distance l from a uniformly charged long wire, a charged particle is thrown radially outward with a velocity u in the direction perpendicular to the wire. When the particle reaches a distance 2l from the wire
its speed is found to be sqrt(2) u . The magnitude of the velocity, when it is a distance 4l away from the wire, is
(ignore gravity)

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(#M40027043) KVPY QUESTION General Ability Test Keep an EYE

A ball falls vertically downward and bounces off a horizontal floor. The speed of the ball just before reaching the floor (u1) is equal to the speed just after having contact with the floor (u2); u1 = u2 . The corresponding magnitudes of accelerations are denoted respectively by a1 and a2 . The air resistance during motion is proportional to speed and is not negligible. If g is acceleration due to gravity, then
option
(A) a1 < a2
(B) a1 > a2
(C) a1 = a2  g
(D) a1 = a2 = g

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(#M40027045) KVPY QUESTION General Ability Test Keep an EYE

A boat crossing a river moves with a velocity v relative to still water. The river is flowing with a velocity v/2 with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is
option
(A) 30 degree
(B) 60 degree
(C) 150 degree
(D) 120 degree

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