KVPY Government Jobs Exams

Let a, b, c be positive integers such that
b^2 c
a^2 b
+
+ is a rational number,
then which of the following is always an integer

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KVPY Other Question

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 steam, it will
option
(A) Bend in the same direction
(B) Bend in the opposite direction
(C) Not bend at all
(D) Bend in the opposite direction above and below and rod The number of solutions (x, y, z) to the system of equations
x + 2y + 4z = 9, 4yz + 2xz + xy = 13, xyz = 3 Such that at least two of x, y, z are integers is
option
(A) 3
(B) 5
(C) 6
(D) 4