MTH202 Quiz 3 Set 2

Q1. Which of the following is not an irrational number?

1. √2
2. √4
3. √3
4. √5

Correct answer: √4

Q2. The quantity a - d · q equals the?

1. Divisor
2. Quotient
3. None
4. Remainder

Correct answer: Remainder

Q3. While proofing by contradiction the equivalence ………..is used.

1. p →q ≡(~p∧~q) →c
2. p →~q ≡(p∧~q) →c
3. ~p →q ≡(p∧~q) →c
4. p →q ≡(p∧~q) →c

Correct answer: p →q ≡(p∧~q) →c

Q4. Algorithm is a more general term in that the term ---- refers to a particular programming language.

1. None
2. Information
3. Program
4. Task

Correct answer: Program

Q5. If the sum of two integers is even then their difference would be ......

1. odd
2. even

Correct answer: even

Q6. A proof by contraposition is based on the logical equivalence between a statement and its………..

1. none of these
2. converse
3. inverse
4. contrapositive

Correct answer: contrapositive

Q7. Proof by Contradiction is a/an........ method of proof.

1. Indirect
2. Direct

Correct answer: Indirect

Q8. The sum of two irrational numbers in general …………..

1. none of these
2. is always a rational number
3. may or may not be an irrational number
4. is always an irrational number

Correct answer: may or may not be an irrational number

Q9. For every prime number n, n + 2 is prime.

Which of the following prime number disproves the above

statement. A. n=5 B. n=3

C. n=7

D. n=11

Q10. The contrapositive of “5n + 2 is odd, then n is odd” is ………..

1. “ if n is not even then 5n + 2 is not even”
2. “ if n is not even then 5n + 2 is even”
3. “ if n is even then 5n + 2 is not even”
4. “ if n is even then 5n + 2 is even”

Correct answer: “ if n is even then 5n + 2 is even”