# Set Theory and Algebra MCQ - Sets

136:

If function f: R → R is given by f (x) =  x 2 + 2x - 3 and  function g : R → R is gien by g(x) = 3x - 4, then (gof) (x) is given by

 A. 9x2 + 18 x + 5 B. 3x2 + 6x - 13 C. x 2 + x - 7 D. x2 - 5x - 1 Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
137:

If I A I  =m and I B I = n, then number of possible relations R : A  B is

 A. mn B. (mn)2 C. 2m+n D. 2mn Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
138:   Which of the following relations are functions? I. N = {(x, y)/y = x², x  {-1, 0, 1, 2, 3}} II. P = {(x, y)/y² = x, x  {4, 9, 16}) III. Q = {(x, y)/y = 4x² -14, x  {-1, 1, 2, 3}}
 A. I only B. I and II only C. I and III only D. III only Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
139:

If R be a relation from A= {1, 2, 3, 4} to B = {1, 3, 5}. i.e.  (a, b)  R if a < b, then RoR-1 is

 A. {(1, 3); (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)} B. {(3, 1), (5, 1) (3,2), (5,2), (5,3), (5,4)} C. {(3, 3), (3, 5), (5, 3), (5, 5)} D. {(3, 3), (3, 4), (4, 5)} Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
140:

If sets A and B have 3 and 6 elements each, then minimum number of elements in A  B is

 A. 3 B. 6 C. 9 D. 18 Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here: