## Discrete mathematics questions and answers:

**Question: **Which of the following is a Proposition?

(a) What time is it?

(b) Read this carefully

(c) x + 1 = 2

(d) 2 + 2 = 3

**Question: **The bitwise AND of 01 and 11 is

(a) 01

(b) 11

(c) 10

(d) 00

**Question: **p ^ q is true when

(a) Both p and q are true

(b) p is true and q is false

(c) p is false and q is true

(d) both p and q are false

**Question: **If (x + 1, y – 3) = (3, 5), then x + 2y = __

(a) 2

(b) 16

(c) 18

(d) 20

Related: sets theory questions and answers

**Question: **The bitwise XOR of the bitstrings 01 1011 0110 and 11 0001 1101 is

(a) 11 1011 1111

(b) 01 0001 0100

(c) 10 1010 1011

(d) 10 1000 1010

**Question: **The length of the bit string 101010011 is

(a) 5

(b) 4

(c) 9

(d) 6

**Question: **If (a + b, a – b) = (2, 4), then (a, b) = __

(a) (3, -1)

(b) (3, 1)

(c) (-3, 1)

(d) (-3, -1)

**Question: **In the statement “x is greater than 3” the part “is greater than 3” is known as

(a) Subject

(b) Proposition

(c) Predicate

(d) Logical Operator

Related: Matrix mcqs

**Question: **If n(A) = 3 and n(B) = 5, then n (A x B x A) = __

(a) 45

(b) 15

(c) 18

(d) 11

**Question: **Determine which of these conditional statements is false.

(a) If 1 + 1 = 2 then 2 + 2 = 5

(b) If 1 + 1 = 3 then 2 + 2 = 4

(c) If 1 + 1 = 3 then 2 + 2 = 5

(d) If monkeys can fly, then 1 + 1 = 3

**Question: **The final statement of the argument is called __

(a) Premise

(b) fallacy

(c) Conclusion

(d) valid

**Question: **If (2x, x + y) = (8, 6) then y = __

(a) 4

(b) 2

(c) -2

(d) 5

Related: questions on mean median mode

**Question: **Let Q(x,y) denote the statement “x = y + z”. Then Q(3,0) is

(a) 3 = 0

(b) 0 = 3 + 3

(c) 3 = 0 + 3

(d) 3 = 3 + 0

**Question: **A statement that is being proposed to be a true statement usually on the basis of some partial evidence, a heuristic argument, or the intuition of an expert is known as __

(a) Theorem

(b) Proposition

(c) proof

(d) Conjecture

**Question: **25 (mod 7) = __

(a) 14

(b) 7

(c) 4

(d) 25

**Question: **Which of the following is not a Proposition?

(a) Toronto is the capital of India

(b) 1 + 1 = 2

(c) x + y = z

(d) You pass the course

Related: areas of parallelograms and triangles worksheet answers

**Question: **A theorem that can be established directly from a theorem that has been proved is known as __

(a) Proposition

(b) Corollary

(c) Lemma

(d) Conjecture

**Question: **Let R(x,y,z) be “x+y=z”. Then the true values of R(1,2,3) and R(0,0,1) are respectively.

(a) T and T

(b) T and F

(c) F and T

(d) F and F

**Question: **If f(x) = ax + b and g(x) = cx +d, then f(g(x)) = g(f(x)) if and only if

(a) f(a) = g(c)

(b) f(b) = g(b)

(c) f(d) = g(b)

(d) f(c) = g(a)

**Question: **A number that can be expressed as the ratio of two integers p and q such that q ≠ 0

(a) Real number

(b) rational number

(c) irrational number

(d) algebraic numbers

Related: quadratic equation exercise

**Question: **Let P(x) be “x>3”. Then the true values of p(4) and p(2) are, respectively.

(a) T, F

(b) T, T

(c) F, T

(d) F, F