KVPY Government Jobs Exams

Let f(x) be a quadratic polynomial with f(2) = 10 and f(2) = – 2. Then the coefficient of x in f(x) is–
(A) 1 (B) 2 (C) 3 (D) 4

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KVPY Other Question

A narrow but tall cabin is falling freely near the earth's surface. Inside the cabin, two small stones A and B
are released from rest (relative to the cabin). Initially A is much above the centre of mass and B much below
the centre of mass of the cabin. A close observation of the motion of A and B will reveal that -
(A) both A and B continue to be exactly at rest relative to the cabin
(B) A moves slowly upward and B moves slowly downward relative to the cabin
(C) both A and B fall to the bottom of the cabin with constant acceleration due to gravity
(D) A and B move slightly towards each other vertically If a, b, c, d are positive real numbers such that
6
a b c d
5
a b c
4
a b
3
a + + +
=
+ +
=
+
= , then
b 2c 3d
a
+ +
is