Consider the following Venn diagram, where X, Y and Z are three s

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21.

Consider the following Venn diagram, where X, Y and Z are three sets. Let the number of elements in z be denoted by n(Z) which is equal to 90

If the number of elements in Y and Z are in the ratio 4 : 5, then what is the value of b ?

  • 18

  • 19

  • 21

  • 23


C.

21

We have,

No of elements in Z = 90

and, No of elements in Y = 16 + 18 + 17 + b = 51 + b

So, 

nZnY = 45 51 + b90 = 45  51 + b = 72            b = 21


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22.

Consider the proper subsets of {1, 2, 3, 4). How many of these subsets are superset of the set {3} ?

  • 5

  • 6

  • 7

  • 8


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