Introduction to Sets & Venn Diagrams Quiz - ICSE Class 6 Mathematics

Free practice quiz: Introduction to Sets & Venn Diagrams (ICSE Class 6 Mathematics). 59 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which of the following is a well-defined set?

   1. The set of all good students in your class.
   2. The set of all beautiful flowers in the garden.
   3. The set of all prime numbers less than 100.
   4. The set of all tasty fruits.
   Show answer

   Answer: C. The set of all prime numbers less than 100.

   A set is well-defined if its elements can be clearly identified. The set of good students, beautiful flowers, or tasty fruits are subjective and not well-defined. The set of prime numbers less than 100 has specific, identifiable elements.

2. If A = {1, 3, 5} and B = {2, 4, 6}, what is A ∩ B?

   1. {1, 2, 3, 4, 5, 6}
   2. {1, 3, 5}
   3. {2, 4, 6}
   4. The empty set ({})
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   Answer: D. The empty set ({})

   The intersection of two sets contains elements that are common to both sets. Since A and B have no elements in common, their intersection is the empty set.

3. In a class of 30 students, 15 students like apples, and 20 students like bananas. If 10 students like both apples and bananas, how many students like only apples?

   1. 5
   2. 10
   3. 15
   4. 20
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   Answer: A. 5

   Total students who like apples = 15. Students who like both = 10. Therefore, students who like only apples = (Total liking apples) - (Students liking both) = 15 - 10 = 5.

4. If set X = {prime numbers between 20 and 30}, what is the cardinality of X?

   1. 2
   2. 3
   3. 4
   4. 5
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   Answer: A. 2

   The prime numbers between 20 and 30 are 23 and 29. There are 2 such numbers. The cardinality of X is 2.

5. If set A = {all numbers divisible by 2} and set B = {all numbers divisible by 3}, what is A ∩ B?

   1. Set of all odd numbers
   2. Set of all even numbers
   3. Set of all multiples of 6
   4. Set of all multiples of 5
   Show answer

   Answer: C. Set of all multiples of 6

   The intersection of numbers divisible by 2 and numbers divisible by 3 is the set of numbers that are divisible by both 2 and 3. Such numbers are multiples of the least common multiple of 2 and 3, which is 6.

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