# Set Theory and Algebra MCQ - Sets

131:

f : R  R is a function defined by f(x) = 10x - 7.
If g =f-¹, then g(x) =

132:

Assume R and S are (non empty) relations in a set A. Which of the following given relations is FALSE ?

 A. If R and S are transitive, then R ∪ S is transitive B. If R and S are transitive, then R ∩ S is transitive C. If R and S are symmetric, then R ∪ S is symmetric D. If R and S are reflexive, then R ∪ S is reflexive Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
133:

With respect to the relation 'x divides y', which of the following sets are totally ordered ?
I. {36, 3, 9}
II. {7, 77, 11}
III. {3,6, 24,12}
IV. {1, 2, 3,……}

 A. I, II and III only B. II and III only C. I and III only D. All of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
134:

To have inverse for the function f, f is

 A. one one B. onto C. one one onto D. identity function Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
135:

In a group of 72 students, 47 have background is Electronics, 59 have background in Mathematics and 42 have background in both the subjects. How many students do not have background in any of the, subjects ?

 A. 8 B. 13 C. 25 D. 34 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here: