SET_THEORY_Q1

Which set is described by the rule { x: x < 6, x is a whole number}?

• {1,2,3,4,5}

• {-3,-2,-1,0,1,2,3}

• {0,1,2,3,4,5}

• {1,3,5}

Which rule describes the set {…, – 3, – 2, – 1, 0, 1, 2}?

• {x: x<3,x is a whole number}

• {x: x<3, x is an integer}

• {x: x<3, x is a natural number}

• {x: x<=3, x is an integer}

Which of the given sets are equivalent?

• A={set of integers}

  B={set of real numbers}

• A={set of all odd numbers less than 100}

  B={set of all even numbers less than 50}

• A={set of consonants in English alphabet}

  B={set of vowels in English alphabet}

• A={set of all natural numbers which is multiple of 3,less than 100}

  B={set of all natural numbers ,which is multiple of 50,less than 75}

The cardinality of n(P(∅))

• 0

• 1

• 2

• not defined

Which of the following is an infinite set?

• Set of prime numbers less than 10

• Set of whole numbers less than 10

• Set of integers less than 10

• set of positive even numbers less than 10

The set of intelligent students in a class is

• A null set
  

• A singleton set

• A finite set

• Not a well defined collection

If A = {1, 2, 3, 4}, then the number of non-empty subsets of A is

• 16

• 32

• 15

• 31

Of the members of three athletic teams in a school, 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, and 12 play football and cricket. Eight play all the three games. The total number of members in the three athletic teams is

• 43

• 76

• 49

• 45

A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

• 72

• 65

• 68

• 60

20 teachers of a school either teach mathematics or physics. 12 of them teach mathematics while 4 teach both the subjects. Then the number of teachers teaching physics

• 10

• 8

• 12

• 14