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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 3 TestUNIT 3: Set and Functions

30 marks · 40 minutes · 21 questions. Covers: UNIT 3: Set and Functions.

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9th Class Mathematics Chapter 3 Test

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Example of equal set:

    1. {a,b,c}, {1,2,3}

    2. {1,2,3}, {2,1,3}

    3. Both a and b

    4. None of these

  2. If A={1,2,3,4,5} and B={4,5,6,7,8,9,10} then, A-B = .......

    1. {4,5}

    2. {1,2,3}

    3. {7,8,9,10}

    4. {4,5,6,7,8,9,10}

  3. In ordered pair (x,y) x is called:

    1. Abscissa

    2. Ordinate

    3. Both

    4. None of these

  4. Let A={1,2,3}, determine the relation

    1. {(2,1),(3,1),(3,2)}

    2. {(1,2),(1,3),(2,3)}

    3. {(1,1),(2,2),(3,3)}

    4. None of these

  5. If then  is:

    1. 12

    2. 13

    3. 14

    4. 15

  6. If a function such that range  the f is called ...... function.

    1. Onto

    2. Into

    3. One-one

    4. Objective

    3. n(AUB)'

    4. None of these

  8. The set with no element is called ...... set:

    1. Singleton set

    2. Empty

    3. Power

    4. Prime

  9. Symbol used for empty set:

    3. {{ }}

    4. None of these

  10. A x B write symbolically as:

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Is there any set which has no proper subset? if so, name that set.

  2. Let , ,  and  List the member of the following set: 

  3. Write the following set in set builder notation: {1,2,4,5,10,20,25,50,100}

  4. Let A={1,2,3}. Determine the relation r such that  iff .

  5. Given that , where a and b are constant numbers, if  and , then find the values of a and b.

  6. A shopping mall has 150 employees labelled 1 to 150, representing the Universal set U. The employees fall into the following categories: Set A: 40 employees with a salary range of 30k-45k, labelled from 50 to 89. Set B: 50 employees with a salary range of 50k-80k, labelled from 101 to 150. Set C: 60 employees with a salary range of 100k-150k, labelled from 1 to 49 and 90 to 100. Find 

  7. In a secondary school with 125 students participants in at least one of the following sports: cricket, football, or hockey: 60 students play cricket. 70 students play football, 40 students play hockey. 25 student play both cricket and football. 15 students play both football and hockey. 10 students play both cricket and hokey. How many students play all three sports?

  8. What is the number of element of the power set of each of the following set? { }

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Let, ,  and : Find

  2. Consider the adjacent Venn diagram illustrating two non-empty sets, A and B. Calculate the union of sets A and B 

  3. Mr. Saleem, a school teacher, has a small library in his house containing 150 books. He has two main categories for these books: Islamic and science. He categorized 70 books as Islamic books and 90 books as science books. There are 15 books that neither belong to the Islamic nor science books category. How many books are classified under both the Islamic and science categories?