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Worksheets

MFCS

Total questions: 10

Worksheet time: 2mins

Name
Class
Date
1.

State the rule:

a)

Conditional Equivalence

b)

Contrapositive

c)

Disjunctive Simplification

d)

None

2.

State the rule:

a)

Chain Rule

b)

Biconditional Equivalences

c)

Disjunctive Simplification

d)

Disjunctive Addition

3.

State p -> q is false when

a)

p=0 and q=1

b)

p=0 and q=0

c)

p=1 and q=1

d)

p=1 and q=0

4.

If A is any set, the power set of A is the set of all nonempty subsets of A.

a)

True

b)

False

5.

Choose the correct operation which when performed on a system of equations, the resulting system is equivalent to the original system:

a)

Interchange any two equations in the system.

b)

Multiply both sides of any equation by a nonzero constant.

c)

Multiply both sides of any equation by a nonzero constant and add the result to a second equation in the system, with the sum replacing the latter equation.

d)

All are correct.

6.

In a system of 3 linear equations, 3 unknowns, there can be

an infinite number of solutions if

a)

the three corresponding planes could intersect along a common axis or line.

b)

two corresponding planes planes are parallel.

c)

the three corresponding planes can intersect in a unique point.

d)

All are correct.

7.

Choose the correct option:

a)

st={(1,1)} and ts={(1,1)}

b)

st={(n,n)} and ts={(n,1)}

c)

st={(n,n)} and ts={(n,n)}

d)

st={(1,1)} and ts={(n,n)| n belongs to Z}

8.

Let A be a set and let r be a relation on A. Whenever a r b and b r a then a = b.

a)

r is antisymmetric.

b)

r is symmetric.

c)

r is reflexive.

d)

r is transitive.

9.

Which of the following relation is both symmetric and anti-symmetric?

a)

>=

b)

<=

c)

=

d)

none

10.
a)

(a) and (c)

b)

(a) and (b)

c)

(b) and (c)

d)

none