Q1 of 71 Page 32

If A = {5, {5, 6}, 7}, which of the following is correct?

In the given set we have been given that 2 elements and 1 set


Elements are 5, 7 and {5,6} is the set


So, {5,6} ∈ A.


All the other options are not correct


Because {5} is a set not an element, so it does not belongs to A , but 5 ∈ A


In the same way {6}, {7} are sets not elements.

More from this chapter

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16

The following table shows the percentage of the students of a school who participated in Elocution and Drawing competitions.


Draw a Venn diagram to represent this information and use it to find the percentage of the students who


i. participated in Elocution only


ii. participated in Drawing only


iii. did not participate in any one of the competitions.

 17

A village has total population of 2500 people. Out of which 1300 people use brand A soap and 1050 people use brand B soap and 250 people use both brands. Find the percentage of population who use neither of these soaps.

 2

If X = {a, {b, c}, d}, which of the following is a subset of X?

 3

Which of the following statements are true?

i. For any set A, A is a proper subset of A


ii. For any set A, Φ is a subset of A


iii. For any set A, A is a subset of A