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12th Standard Maths Discrete Mathematics Equations English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

12th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. Subtraction is not a binary operation in

    (a)

    R

    (b)

    Z

    (c)

    N

    (d)

    Q

  2. If a compound statement involves 3 simple statements, then the number of rows in the truth table is

    (a)

    9

    (b)

    8

    (c)

    6

    (d)

    3

  3. Which one is the contrapositive of the statement (pVq)⟶r?

    (a)

    ㄱr➝(ㄱp∧ㄱq)

    (b)

    ㄱr⟶(p∨q)

    (c)

    r⟶(p∧q)

    (d)

    p⟶(q∨r)

  4. The proposition p ∧ (¬p ∨ q) is

    (a)

    a tautology

    (b)

    a contradiction

    (c)

    logically equivalent to p ∧ q

    (d)

    logically equivalent to p ∨ q

  5. If * is defined by a * b = a2 + b2 + ab + 1, then (2 * 3) * 2 is

    (a)

    20

    (b)

    40

    (c)

    400

    (d)

    445

  6. Which of the following is a tautology?

    (a)

    p ν q

    (b)

    p ៱ q

    (c)

    q v ~ q

    (d)

    q ៱ ~ q

  7. The number whose multiplication universe does not exist in C.

    (a)

    0

    (b)

    1

    (c)

    0

    (d)

    1

  8. If p is true and q is unknown, then _________

    (a)

    ~ p is true

    (b)

    p v (~p) is false

    (c)

    p ∧ (~p) is true

    (d)

    p v q is true

  9. In (N, *), x * y = max(x, y), x, y \(\in \) N then 7 * (-7)

    (a)

    7

    (b)

    -7

    (c)

    0

    (d)

    -49

  10. The number of commutative binary operations which can be defined on a set containing n elements is

    (a)

    n\(\frac { n(n+1) }{ 2 } \)

    (b)

    \({ n }^{ { n }^{ 2 } }\)

    (c)

    \(n^{ \frac { n }{ 2 } }\)

    (d)

    n2

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