Simulation For Daily Examination "SETS"

The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is

• 4

• 8

• 2

• None of these

If A and B are sets and A∪ B= A ∩ B, then....

• A= Φ

• B=Φ

• A = B

• None of these

Let S be an infinite set and S1, S2, S3, ..., Sn be sets such that S1 ∪S2 ∪ S3∪....Sn = S then

• at least one of the sets Si is a finite set

• not more than one of the set Si can be infinite

• at least one of the sets Si is an infinite set

• none of these

If A be a finite set of size n, then number of elements in the power set of A x A

• none of these

Total number of different partitions of a set having four elements is......

• 16

• 8

• 15

• 4

A - (B ∪ C) is ....

• (A - B) ∪ (A - C)

• A - B - C

• (A - B) ∩ (A - C)

• A - (B ∩ C)'

Which of the following sets are null sets?

• {0}

• Ø

• { }

• Both (b) & (c)

Number of subsets of a set of order three is ....

• 3

• 6

• 8

• 9

The number of elements in the power set of the set {{a, b}, c} is ....

• 8

• 4

• 3

• 7

In a language survey of students it is found that 80 students know English, 60 know French, 50 know German, 30 known English and French, 20 know French and German, 15 know English and German and 10 students know all the three languages. How many students know at least one language?

• 135

• 30

• 10

• 45