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1.
Let X, Y, Z be sets of sizes x, y and z respectively. Let W = X x Y. Let E be the set of all subsets of W. The number of functions from Z to E is:
2.
The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given below are four plausible reasons. Which one of them is false?
3.
A relation R is defined on ordered pairs of integers as follows: (x,y) R(u,v) if x < u and y > v. Then R is: Then R is:
4.
Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE?
5.
Let S be a set of nelements. The number of ordered pairs in the largest and the smallest equivalence relations on S are:
6.
How many different non-isomorphic Abelian groups of order 4 are there
7.
Which one of the following in NOT necessarily a property of a Group?