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Federal (FBISE) · Chapter test · Free

9th Class General Math Chapter 8 Test08. Sets and Functions

30 marks · 40 minutes · 21 questions. Covers: 08. Sets and Functions.

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9th Class General Math Chapter 8 Test

9th Class · General Math · Federal (FBISE)

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

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

  1. If an object does not belong to set A, then we write
    1. x = A
    2. x A
    3. x A
    4. x A
  2. {..........,4-,2-,0,2,4,6,8,..............} is the set of numbers.
    1. Even
    2. Correct
    3. Odd
    4. Prime
  3. If f is an interaction from set A to set B and Rangef B is B, then f is called an interaction.
    1. Bi-jacto interaction
    2. On-to-interaction
    3. One-to-one interaction
    4. Into interaction
  4. The union of two sets A and B is denoted.
    1. A B
    2. A B
    3. A B
    4. A B
  5. If f is an interaction from set A to set B and Range f=B then f is called interaction from A to B.
    1. One-to-one interaction
    2. On-to-interaction
    3. Bi-jacto interaction
    4. Into interaction
  6. A set which is a superset of the discussed sets is called a set.
    1. Difference of two sets
    2. Lower set
    3. Complement set
    4. Universal set
  7. For any two sets A and B, A B = B A. This property is called
    1. Attribute exchange
    2. The property of necessity
    3. Characterization
    4. Transitive property
  8. For any three sets A, B, C, A ( B C ) = ( A B ) C is called this property.
    1. The property of necessity
    2. Attribute exchange
    3. Characterization
    4. Transitive property
  9. The intersection of two sets A and B is shown.
    1. A B
    2. A B
    3. A B
    4. A B
  10. For any two sets A and B, A B = B A is called the property.
    1. The property of necessity
    2. Characterization
    3. Transitive property
    4. Attribute exchange

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

  1. If A = { 1,4,7,8 } , B = { 4,6,8,9 } and C = { 3,4,5,7 } Find A∪B A \cup B
  2. If U = {1,2,3,4,5,6,7,8} and A = { 2,3,5,7} then Find A∪A′ A \cup A'
  3. Write the number of binary relations possible. In A×B A\times B if the number of elements in set A is 2 and in set B is 3.
  4. If A = {3,4,5,6,7} and B = { 1,2,3,4,7,8,9,10} then Find A/B A/B
  5. If A = {2,3,5,7,11} and B = { 1,3,5,7,9} then Find A∩B A \cap B
  6. If U = {1,2,3,........,20} and B = { 9,10,11,12,........,20} then Find B′∩B B' \cap B
  7. If A = { l, m, n } , B = { 3, 5, 7 } Then find A×B A\times B
  8. If A = {a,b,c} and B = { a,e,i,o,u } then Find A∪B A \cup B

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

  1. If A = { 2,3,5,7,9 } , B = { 1,3,5,7 } and C = { 2,3,4,5,6 } Verify that (A∩B)∩C=A∩(B∩C) (A \cap B )\cap C=A \cap (B \cap C)
  2. If X = { 0,3,5 } and Y = { 2,4,8 } ,then establish any four binary relations. X×Y X\times Y
  3. If A = {1,2,3,4}, B = { 7,8,9,10} and C = { 2,6 } then prove that (A∪B)∪C=A∪(B∪C) (A \cup B)\cup C =A \cup (B\cup C )