# Set Theory and Algebra MCQ - Sets

6:

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

 A. 2 B. 4 C. 8 D. None of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. mahesh said: (11:49pm on Tuesday 23rd April 2013) n to the power of 2 is the ansn is 3 Sakthivel said: (6:57pm on Friday 19th May 2017) If u want a set. It should have set bracket. Because in some exam they will ask twisted que. sahil said: (3:12pm on Thursday 1st February 2018) though this is not the prresentation of set .lets consider above setdn we have its solution as:2 raise to power 3 (i.e the number of elements in given set) so its ans is 8 Write your comments here:
7:

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

 A. A = Φ B. B = Φ C. A = B D. none of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
8:

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

 A. atleast one of the sets Si is a finite set B. not more than one of the set Si can be inite C. atleast one of the sets Si is an ininite set D. none of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Sakthivel said: (7:13pm on Friday 19th May 2017) Why can't we say that option a. Its also correct. Write your comments here:
9:

If X and Y are two sets, then X  ∩ (Y  ∪ X) C equals

 A. X B. Y C. Ø D. None of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Usha Kiran said: (5:46am on Tuesday 28th February 2017) if X = {1,2,3} and Y = {4,5,6} then XUY = {1,2,3,4,5,6} and X intersection (XUY) ={1,2,3}therefore answer should be A. Manzoor Ahmed said: (10:07am on Sunday 16th July 2017) Should be option A, all the elements which are found in both X and Y U X are same as of X Bijaya Sen Khadka said: (12:47pm on Monday 12th February 2018) (XUY) has C in its end which means complement. So the answer is not A. (XUY)C has nothing common with X so the answer is C. Irshad said: (2:53am on Tuesday 27th February 2018) This law is called absorption law so option A Write your comments here:
10:

If  f : X -> Y and a, b  ⊆ X, then f (a  ∩ b) is equal to

 A. f(a) - f(b) B. f(a) ∩ f(b) C. a proper subset of f(a) ∩ f(b) D. f(b) - f(a) Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:

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• These SET Theory Multiple Choice Questions Answers can be used for the preparation of UGC NET Computer Scienc Exam.
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