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12th Standard English Medium Maths Subject Discrete Mathematics Book Back 2 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    2 Marks

    5 x 2 = 10
  1. Let p: Jupiter is a planet and q: India is an island be any two simple statements. Give verbal sentence describing each of the following statements.
    (i) ¬p
    (ii) p ∧ ¬q
    (iii) ¬p ∨ q
    (iv) p➝ ¬q
    (v) p↔q

  2. Write each of the following sentences in symbolic form using statement variables p and q.
    (i) 19 is not a prime number and all the angles of a triangle are equal.
    (ii) 19 is a prime number or all the angles of a triangle are not equal
    (iii) 19 is a prime number and all the angles of a triangle are equal
    (iv) 19 is not a prime number

  3. Fill in the following table so that the binary operation ∗ on A = {a, b, c} is commutative.

    * a b c
    a b    
    b c b a
    c a   c
  4. Write the converse, inverse, and contrapositive of each of the following implication.
    If x and y are numbers such that x = y, then x2 = y2

  5. Construct the truth table for the following statements.
    (¬p ⟶ r) ∧ ( p ↔️ q)

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