GATE CSE 2016 SET-1


Question 1
Let p,q, r, s represent the following propositions.

p: x\in{8,9,10,11,12}
q: x is a composite number
r: x is a perfect square
s: x is a prime number

The integer x\geq2 which satisfies \neg((p\Rightarrow q)\wedge (\neg r \vee \neg s)) is ________.
A
9
B
10
C
11
D
12
Discrete Mathematics   Propositional Logic
Question 2
Let a_{n} be the number of n-bit strings that do NOT contain two consecutive 1s. Which one of the following is the recurrence relation for a_{n}?
A
a_{n}=a_{n-1}+2a_{n-2}
B
a_{n}=a_{n-1}+a_{n-2}
C
a_{n}=2a_{n-1}+a_{n-2}
D
a_{n}=2a_{n-1}+2a_{n-2}
Discrete Mathematics   Recurrence


Question 3
\lim_{x\rightarrow 4}\frac{sin(x-4)}{x-4}=_________.
A
0
B
1
C
2
D
4
Engineering Mathematics   Calculus
Question 4
A probability density function on the interval [a,1] is given by 1/x^{2} and outside this interval the value of the function is zero.The value of a is __________.
A
0.25
B
0.5
C
0.75
D
1
Discrete Mathematics   Probability Theory
Question 5
Two eigen values of a 3x3 real matrix P are (2+\sqrt{-1}) and 3.The determinantof P is __________.
A
9
B
15
C
6
D
30
Engineering Mathematics   Linear Algebra




There are 5 questions to complete.

1 thought on “GATE CSE 2016 SET-1”

  1. pls check question number 20

    Which of the following is NOT a superkey in a relational schema with attributes V,W,X,Y,Z and primary key” VY”- note?

    VXYZ
    VWXZ
    VWXY
    vwxyz
    answer : b

    Reply

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