Q. The relation R defined on the set of natural numbers as {(a, b): a differs from b by 3} is given

  • (A) {(1, 4), (2, 5), (3, 6), ….}
  • (B) { (4, 1), (5, 2), (6, 3), ….}
  • (C) {(4, 1), (5, 2), (6, 3), ….}
  • (D) none of the above
πŸ’¬ Discuss
βœ… Correct Answer: (B) { (4, 1), (5, 2), (6, 3), ….}

Q. Two finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is

  • (A) 7
  • (B) 9
  • (C) 10
  • (D) 12
πŸ’¬ Discuss
βœ… Correct Answer: (A) 7

Q. Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then, n (X ÇY) is equal to

  • (A) 4
  • (B) 6
  • (C) 8
  • (D) 12
πŸ’¬ Discuss
βœ… Correct Answer: (D) 12

Q. Let R = { ( 3, 3 ) ( 6, 6 ) ( ( 9, 9 ) ( 12, 12 ), ( 6, 12 ) ( 3, 9 ) ( 3, 12 ), ( 3, 6 ) } be a relation on the set A = { 3, 6, 9, 12 }. The relation is

  • (A) reflexive and transitive
  • (B) reflexive only
  • (C) an equivalence relation
  • (D) reflexive and symmetric only
πŸ’¬ Discuss
βœ… Correct Answer: (A) reflexive and transitive

Q. Let f : ( - 1, 1 ) → B be a function defined by f ( x ) = 2 1 x 1 2x tan - - , then f is both one-one and onto when B is the interval

  • (A) (0,π/2)
  • (B) (0,(-π)/2)
  • (C) (π/2,(-π)/2)
  • (D) ((-π)/2,π/2)
πŸ’¬ Discuss
βœ… Correct Answer: (D) ((-π)/2,π/2)

Q. Let R be the set of real numbers. If f : R → R is a function defined by f ( x ) = x2 , then f is]

  • (A) inject ve but not subjective
  • (B) subjective but not injective
  • (C) bijective
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (D) none of these

Q. Which of the following statement is a proposition?

  • (A) get me a glass of milkshake
  • (B) god bless you!
  • (C) what is the time now?
  • (D) the only odd prime number is 2
πŸ’¬ Discuss
βœ… Correct Answer: (D) the only odd prime number is 2

Q. What is the value of x after this statement, assuming the initial value of x is 5? ‘If x equals to one then x=x+2 else x=0’.

  • (A) 1
  • (B) 3
  • (C) 0
  • (D) 2
πŸ’¬ Discuss
βœ… Correct Answer: (C) 0

Q. Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

  • (A) if i love cricket then i am in bangalore
  • (B) if i am in bangalore then i love cricket
  • (C) i am not in bangalore
  • (D) i love cricket
πŸ’¬ Discuss
βœ… Correct Answer: (A) if i love cricket then i am in bangalore

Q. Let P: If Sahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball. Now if P is true and Q is false then which of the following can be true?

  • (A) raju bowled and sahil got out on first ball
  • (B) raju did not bowled
  • (C) sahil bowled and saurabh hits a century
  • (D) sahil bowled and saurabh got out
πŸ’¬ Discuss
βœ… Correct Answer: (C) sahil bowled and saurabh hits a century

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