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  4. Let A = θ: sin(θ) = tan(θ) and B = θ: cos(θ) = 1 be two sets. Then :

Q. Let and be two sets. Then :

Sets Report Error

Solution:

Let
and
Now,


For
This shows that A is not contained in B. i.e. A ⊄ B. but B A.

Questions from Sets

1. A set A has 3 elements and another set B has 6 elements. Then

2. The set A = {x : x R, = 16 and 2x = 6} equals

3. At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?

4. In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the newspapers, then

5. In a class of 80 students numbered 1 to 80, all odd numbered students opt of Cricket, students whose numbers are divisible by 5 opt for Football and those whose numbers are divisible by 7 opt for Hockey. The number of students who do not opt any of the three games, is

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