KVPY Government Jobs Exams

Let f(x) = ax^2 + bx + c, where a, b, c are integers. Suppose f(1) = 0, 40 < f(6) < 50, 60 < f(7) < 70, and
1000t < f(50) < 1000 (t + 1) for some integer t. Then the value of t is
(A) 2 (B) 3 (C) 4 (D) 5 or more

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KVPY Other Question

The form of cancer called 'carcinoma' is associated with
(A) lymph cells (B) mesodermal cells (C) blood cells (D) epithelial cells
The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by
21% such that it still remains a truncated cone with the height and the other base unchanged, the volume also
increases by 21%. The radius of the other base (in mm) is-
(A) 65 (B) 55 (C) 45 (D) 35