# Maths - Objective Type Questions - +2- Collection 1- Part 5

Final set of 8 questions, from 33-40 are provided below. This complete the first collection of questions on mathematics. Answers to these questions would be published at a later point in time. Readers are strongly advised to work the answers to these questions for a complete practice.

33) Which of the following is a tautology?

a) p ν q
b) p ∧ q
c) p ν p
d) p ∧ p

34) p ↔ q is equivalent to

a) p ↔ q
b) q ↔ p
c) (p ↔ q) ν (q ↔ p)
d) (p ↔ q) ∧ (q ↔ p)

35) The value of [3] +11 ([5] +11 [6]) is

a) [0]
b) [1]
c) [2]
d) [3]

36) Which of the following is a statement?

a) Give me a cup of tea
b) Wish you all success
c) How beautiful you are!
d) The set of rational numbers is finite

37) A random variable X has the following probability distribution

 X 0 1 2 3 4 5 P(X=x) 1/4 2a 3a 4a 5a 1/4

Then P(1<=x<=4) is

a) 10/21
b) 2/7
c) 1/14
d) 1/2

38) The distribution function F(X) of a random variable X is

a) a decreasing function
b) non decreasing function
c) a constant function
d) increasing first and then decreasing

39) In a Poisson distribution if P(X = 2) = P(X = 3) then the value of its parameter l is

a) 6
b) 2
c) 3
d) 0

40) A property of cumulative distribution function F(x) is

a) it is strictly increasing
b) 0 < F(x) < 1 , - ∞ < x < ∞
c) F(- ∞) = - 1
d) F(∞) = 1