Basic Mathematics for NS Pre-Course Assessment

Which of the following is a proposition?

• What time is it?

• Clean the room.

• Open the door.

Which logical connective represents the disjunction of two propositions P and Q?

A proposition that is always true is called:

• A contradiction.

• A tautology.

• A compound statement.

• A sentence

Which of the following is an example of an open proposition?

• x + 3 = 5

• 2 + 2 = 4

• The sky is blue.

• 1<3

• {1, 4}

• {2, 3}

• {1, 2, 3, 4}

Which Venn diagram represents the union of two sets?

• The overlapping area.

• Only the non-overlapping parts.

• The entire region covered by both sets.

• Only the overlapping parts.

What is the principle of mathematical induction used for?

• To prove properties of naturals.

• To calculate sums of series.

• To evaluate functions.

• To prove properties of complex numbers.

Which of the following is not a subset of real numbers?

• Natural numbers.

• Rational numbers.

• Imaginary numbers.

• Integers.

• 0

• 2

• 1

• -1

What is the modulus of the complex number z = 3 + 4i?

• 3

• 4

• 5

• 7