test questionnaire in mathematics

May 19th, 2015
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1. (1) An operation ⊙ is given by x⊙y=4xy/(x+y), then x⊙3x =A. 3x B. 9x C. x D. 4x E. 4 (2) If f(x) = (2x+y)/3 and g(x)=2x2-1, then (g.f)(4) = A.30 B. 13 C. 31 D. 32 E.33

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v0ef;tdrfANSWER ALL QUESTIONSSECTION (A)1. (1) An operation is given by, then x3x =A. 3x B. 9x C. x D. 4x E. 4 (2) If f(x) = and g(x)=2x2-1, then (g.f)(4) =A.30 B. 13 C. 31 D. 32 E.33 (3) Given that xy means add 3 to x and multiply the result by y then thevalue of (21)5 is A. 55 B. 50 C. 45 D. 40 E. 28 (4) Let f(x)=2. Which of the following is (are) true?I. f(x+1)=3 II. f(x2)=2 III. f is not one to one correspondenceA.I only B.II only C.I and II only D.I and III only E.II and III only (5) Let f(x)=ex, xR, g(x)=ln x, x>0. Then (g.f)(x)=A. 1 B. x C. D. x2 E. None of these (6) Given that f(x)=ax2+3 and f(-1)=5, then f(2)= A. 3 B. 5 C. 7 D. 9 E.11 (7) Given that f(x)=x3-6, then -f(-x)=A. -x3-6 B. x3+6 C. 0 D. x3-6 E. x3+6 (8) If the remainder when 4x2-3x+k is divided by x-2 is 8, then k+6=A. -16 B. -4 C. 0 D. 4 E. 12 (9) If 2x3+11x2+kx-8 is divisible by 2x-1, then k=A. 10 B. 2 C. 3

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