CBSE  /  Class 11  /  Maths  /  Mathematical Reasoning

  • 1. 
    Which of the following is a statement

  • x is a real number
  • Switch of the fan
  • 6 is a natural number
  • Let me go

  • 2. 
    Which of the following is not a statement

  • 8 is less than 6.
  • Every set is finite set.
  • The sun is a star.
  • Mathematics is fun.

  • 3. 
    Which of the following is true

  • A prime number is either even or odd
  • √3 is irrational number.
  • 24 is a multiple of 2, 4 and 8
  • Everyone in India speaks Hindi.

  • 4. 
    If (p and q) is false then

  • p is true and q is false
  • p is false and q is false
  • p is false and q is true
  • all of the above

  • 5. 
    The converse of the statement p ⇒ q is

  • p ⇒ q
  • q ⇒ p
  • ~p ⇒ q
  • ~q ⇒ p

  • 6. 
    The negation of the statement The product of 3 and 4 is 9 is

  • It is false that the product of 3 and 4 is 9
  • The product of 3 and 4 is 12
  • The product of 3 and 4 is not 12
  • It is false that the product of 3 and 4 is not 9

  • 7. 
    Sentence involving variable time such as today, tomorrow, or yesterday are

  • Statements
  • Not statements
  • may or may not be statements
  • None of these

  • 8. 
    The converse of the statement if a number is divisible by 10, then it is divisible by 5 is

  • if a number is not divisible by 5, then it is not divisible by 10
  • if a number is divisible by 5, then it is not divisible by 10
  • if a number is not divisible by 5, then it is divisible by 10
  • if a number is divisible by 5, then it is divisible by 10

  • 9. 
    Which of the following is the conditional p → q

  • q is sufficient for p
  • p is necessary for q
  • p only if q
  • if q then p

  • 10. 
    Which of the following is not a negation of the statement A natural number is greater than zero

  • A natural number is not greater than zero
  • It is false that a natural number is greater than zero
  • It is false that a natural number is not greater than zero
  • None of these
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