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Polytechnic 2013 Mathematics Model Paper with Answers

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Polytechnic 2010 2011 2012 2013 2014 2015 2016 Mathematics Physics and Chemistry Model Paper | Previous Year Question Papers with Answers

1.    An example for a contradiction is
1) p∧q    2) p∨∼p    3) p∧∼p    4) p⇒∼p
The Answer is : 3

2.    Which of the following statement is false?
1) x + 3 = 5 ⇒ x = 2        2) x2 + 1 = 0 ⇒ ∀ x∈N
3) x2 – 1 = 0 ⇒ ∀ x∈R        4) x2 – 9 = (x+3) (x–3) ∀ x∈R
The Answer is : 2

3.    The law p∨p = p is known as
1) Nilpotent    2) Idempotent    3) Commutative  4) None
The Answer is : 2

4.    A = {x : x≤4, x∈N}; B = {2, 3, 6, 8} ; A∩B =
1) {2, 3}    2) {1, 2, 3, 4}    3) { }    4) {1, 4}
The Answer is :4

5.    If A⊂B; then A’∪B =
1) μ    2) A–B    3) B–A    4) B
The Answer is : 4

6.    If f : R→R, g : R→R are functions defined by f(x) = 3x–2, g(x) = x2+1, then
(gof)–1(2) =
1) 9/25    2) 25/9    3) 4/3    4) 3/4
The Answer is : 2

7.    If f(x) = x2 + x + 2, then 14 is the image of
1) 2    2) 21    3) 5    4) 3
The Answer is :4

8.    The figure represents        function:
1) Onto    2) Bijection    3) Into    4) Constant


The Answer is :1

9.    f(x) = x + 2, g(x) = x2    + x + 2, x∈R, value of   (g1+g2+g3)/(f1+f2+f3) ______
1) 3/7    2) 1/7    3) 13/6                        4) 7/3
The Answer is : 3

10.    If α1β are the roots of x2 – p(x + 1) – c = 0 then (1 + α) (1 + β) =
1) c    2) (1–c)    3) c2    4) (2+c)
The Answer is : 2

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