10th Class Mathematics Test Unit 5 - Set & Functions

Unit 5 – Set & Functions

Quiz

 

1. 1. What is a set?
   1.   A group of numbers only
   2.   A collection of well-defined objects
   3.   A list of random items
   4.   A collection with duplicate elements
2. 2. Which symbol represents the universal set?
   1.   ∅\emptyset∅
   2.   UUU
   3.   ⊆\subseteq⊆
   4.   A′A'A′
3. 3. If A⊆BA \subseteq BA⊆B, what does it mean?
   1.   AAA is equal to BBB
   2.   Every element of AAA is also an element of BBB
   3.   AAA is disjoint with BBB
   4.   AAA has more elements than BBB
4. 4. Which of the following represents an empty set?
   1.   {0}\{0\}{0}
   2.   ∅\emptyset∅
   3.   {1,2,3}\{1, 2, 3\}{1,2,3}
   4.   x:x2+1=0,x∈R}\{x : x^2 + 1 = 0, x \in \mathbb{R}\}{x:x2+1=0,x∈R}
5. 5. The union of two sets AAA and BBB is denoted by:
   1.   A∩BA \cap BA∩B
   2.   A∪BA \cup BA∪B
   3.   A−BA - BA−B
   4.   A′A'A′
6. 6. What is the intersection of sets A={1,2,3}A = \{1, 2, 3\}A={1,2,3} and B={2,3,4}B = \{2, 3, 4\}B={2,3,4}?
   1.   {1,4}\{1, 4\}{1,4}
   2.   {1,2,3,4}\{1, 2, 3, 4\}{1,2,3,4}
   3.   {2,3}\{2, 3\}{2,3}
   4.   ∅\emptyset∅
7. 7. What is the complement of a set AAA in a universal set UUU?
   1.   Elements not in AAA but in UUU
   2.   Elements in AAA only
   3.   Elements in both AAA and UUU
   4.   None of the above
8. 8. If A∩B=∅A \cap B = \emptysetA∩B=∅, then AAA and BBB are called:
   1.   Subsets
   2.   Universal sets
   3.   Disjoint sets
   4.   Equal sets
9. 9. The Cartesian product A×BA \times BA×B consists of:
   1.   Elements common to both AAA and BBB
   2.   Pairs of elements (a,b)(a, b)(a,b) where a∈Aa \in Aa∈A and b∈Bb \in Bb∈B
   3.   Union of AAA and BBB
   4.   None of the above
10. 10. The domain of a function is:
    1.   The set of all outputs
    2.   The set of all inputs
    3.   The range of the function
    4.   None of the above