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Welcome to the Induction and Recursion MCQs Page

Dive deep into the fascinating world of Induction and Recursion with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Induction and Recursion, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Induction and Recursion, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Induction and Recursion. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Induction and Recursion. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Induction and Recursion MCQs | Page 2 of 3

Explore more Topics under Discrete Mathematics

Q11.
A polygon with 7 sides can be triangulated into ________

a.

7

b.

14

c.

5

d.

10

Discuss
Answer: (c).5
Q12.
Every simple polynomial has an interior diagonal.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q13.
A polygon with 12 sides can be triangulated into _______

a.

7

b.

10

c.

5

d.

12

Discuss
Answer: (b).10
Q14.
Let P(n) be the statement that postage of n cents can be formed using just 3-cents stamps and 5-cents stamps. Is the statements P(8) and P(10) are Correct?

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q15.
Which amount of postage can be formed using just 4-cent and 11-cent stamps?

a.

2

b.

5

c.

30

d.

10

Discuss
Answer: (d).10
Q16.
22-cent of postage can be produced with two 4-cent stamp and one 11-cent stamp.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (b).False
Q17.
Which amount of postage can be formed using just 3-cent stamp and 10-cent stamps?

a.

27

b.

20

c.

11

d.

5

Discuss
Answer: (a).27
Q18.
Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.

a.

P(3)

b.

P(2)

c.

P(4)

d.

P(6)

Discuss
Answer: (a).P(3)
Q19.
Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.

a.

P(1)

b.

P(2)

c.

P(4)

d.

P(n)

Discuss
Answer: (d).P(n)
Q20.
A polygon with 25 sides can be triangulated into _______

a.

23

b.

20

c.

22

d.

21

Discuss
Answer: (a).23
Page 2 of 3

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