Question

Let X = {neN:13n=50; . If A=Inern is a multiple of 23; and B={nel:n is a multiple of 7}. And of the number of elements in the smallest subset of X containing both A and B is k then the sum of digits of K is​

Answer 1

Answer:

Correct option is

A

29

X={x:1≤x≤50,x∈N}

A={x:x is multiple of 2}

∴n(A)=25

B={x:x is multiple of 7}

∴n(B)=7

n(A∩B)=3

From question

n(A∪B)=n(A)+n(B)−n(A∩B)

=25+7−3

=29

Step-by-step explanation:

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