Discrete Structure (DS) MCQs with answers Page - 20

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Q. If n is an integer and x is an irrational real number, then nx is irrational.

  • (A) T
  • (B) F
  • (C) ---
  • (D) ---

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Q. In Z7, if [6]x =[3]then x =? .

  • (A) [1]
  • (B) [2]
  • (C) [3]
  • (D) [4]

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Q. Which statement represents "all numbers between negative 4 and positive 8" ?

  • (A) -4 > x > 8
  • (B) -4 < x < 8
  • (C) -4 > x < 8
  • (D) None of these

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Q. Which interval notation represents the set of numbers that are greater than or equal to -1, but are less than 9?

  • (A) (-1,9]
  • (B) [-1,9]
  • (C) (-1,9)
  • (D) [-1,9)

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Q. Given the relation D = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function?

  • (A) -3
  • (B) -6
  • (C) 8
  • (D) 6

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Q. Which statement is true about the relation shown at the right?

  • (A) It is a function because there exists one y- coordinate for each x- coordinate.
  • (B) It is a function because there exists one x- coordinate for each y-coordinate.
  • (C) It is not a function because there are multiple x-values for a given y-value.
  • (D) It is not a function because there are multiple y-values for a given x- value.

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Q. A ball is tossed in the air in such a way that the path of the ball is modeled by the equation y = -x² + 6x, where y represents the height of the ball in feet and x is the time in seconds. At what time, x, is the ball at its highest point?

  • (A) 6
  • (B) 2
  • (C) 3
  • (D) 4

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Q. Let S = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}. What is the
smallest integer N > 0 such
that for any set of N integers, chosen from S, there must be two distinct integers that
divide each other? IZ

  • (A) 10
  • (B) 7
  • (C) 9
  • (D) 8

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Q. If S is a set containing n elements then number of elements in power set of S ,i.e.P(S)

  • (A) n
  • (B) 2n
  • (C) 2n
  • (D) n2

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Q. If A and B are two non empty sets then cartesian product of A and B is----------

  • (A) AΧB={(a,b);a,bϵA }
  • (B) AΧB={(a,b);a,bϵB}
  • (C) AΧB={(a,b);aϵA and bϵB}
  • (D) AΧB={(a,b);aϵB and bϵA}

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