Discrete Mathematics Quizs Question

Discrete mathematics questions and answers:

Q1. If f(x) = ax + b and g(x) = cx +d, then f(g(x)) = g(f(x)) if and only if
A. f(d) = g(b)
B. f(b) = g(b)
C. f(a) = g(c)
D. f(c) = g(a)

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Answer:-A. f(d) = g(b)

Q 2. 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

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Answer:-B. rational number

Q 3. Let P(x) be “x>3”. Then the true values of p(4) and p(2) are, respectively.
A. F, T
B. T, T
C. T, F
D. F, F

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Answer:-C. T, F

Q 4. 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

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Answer:-C. x + y = z

Q 5. A theorem that can be established directly from a theorem that has been proved is known as __
A. Proposition
B. Conjecture
C. Lemma
D. Corollary

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Answer:-D. Corollary

Q 6. 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

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Answer:-B. T and F

Q 7. Let Q(x,y) denote the statement “x = y + z”. Then Q(3,0) is
A. 3 = 0
B. 3 = 0 + 3
C. 0 = 3 + 3
D. 3 = 3 + 0

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Answer:-B. 3 = 0 + 3

Q 8. 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

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Answer:-D. Conjecture

Q 9. 25 (mod 7) = __
A. 14
B. 4
C. 7
D. 25

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Answer:-B. 4

Q 10. If n(A) = 3 and n(B) = 5, then n (A x B x A) = __
A. 18
B. 15
C. 45
D. 11

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Answer:-C. 45

Q 11. 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

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Answer:-A. If 1 + 1 = 2 then 2 + 2 = 5

Q 12. The final statement of the argument is called __
A. Premise
B. fallacy
C. valid
D. Conclusion

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Answer:-D. Conclusion

Q 13. If (2x, x + y) = (8, 6) then y = __
A. 4
B. 2
C. -2
D. 5

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Answer:-B. 2

Q 14. The length of the bit string 101010011 is
A. 5
B. 4
C. 7
D. 9

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Answer:-D. 9

Q 15. If (a + b, a – b) = (2, 4), then (a, b) = __
A. (-3, -1)
B. (3, 1)
C. (-3, 1)
D. (3, -1)

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Answer:-D. (3, -1)

Q 16. 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

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Answer:-C. Predicate

Q 17. If (x + 1, y – 3) = (3, 5), then x + 2y = __
A. 2
B. 16
C. 18
D. 20

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Answer:-C. 18

Q 18. The bitwise XOR of the bitstrings 01 1011 0110 and 11 0001 1101 is
A. 10 1010 1011
B. 01 0001 0100
C. 11 1011 1111
D. 10 1000 1010

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Answer:-A. 10 1010 1011

Q 19. The bitwise AND of 01 and 11 is
A. 10
B. 11
C. 01
D. 00

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Answer:-C. 01

Q 20. 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

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Answer:-A. Both p and q are true

Q 21. Which of the following is a Proposition?
A. What time is it?
B. Read this carefully
C. x + 1 = 2
D. 2 + 2 = 3

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Answer:-D. 2 + 2 = 3