# Set Theory and Algebra MCQ - Sets

96:

When A = {1, 2, 3, 4, 5} and r deined on A by xry if x + 1 = y, then r3 is

 A. {(1, 3) (2, 4)} B. {(1, 3) (2, 5)} C. {(1, 4) (2, 5)} D. {(1, 4) (4, 5)} Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
97:

If A = {x I -1 < x < 1} = B, then function f(x) = x/2 from A to B is

 A. injective B. surjective C. both injective and surjective D. neither injective nor surjective Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
98:

∪ B is NOT equivalent to

99:

How many students know at least two languages?

 A. 135 B. 30 C. 10 D. 45 Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
100:

Common Data for Q. 54-55.

Let A = {1, 2, 3, 4} and B = {0, 1, -1, 2} and several sets of ordered pairs be specified as :

I. {(1, 0), (2, 1), (3, -1), (4, 2)}

II. {(1, 0), (2, -1), (3, 2)}

III. {(4, 1), (3, 2), (2, 3), (1, 4)}

IV. {(2, 1), (3, 0), (1, - 1), (3, 1), (4, 2)}

V. {(2, 0), (1, -1), (3, 2) (4, 1)}
Which ofthe sets of ordered pairs are graphs of a function from A → B ?

Which of the sets of ordered pairs are graphs of a function from A → B ?

 A. II and III B. III and IV C. I and V D. IV and V Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here: