MTH202 Final Term Solved MCQs Set 2

MTH202- Discrete Mathematics · Latest Solved MCQS from Final term Papers · 13 july,2011 · Spring 2010

Q1. If p = It is raining (1 marks)

q = She will go to college

"It is raining and she will not go to college" will be denoted by

Correct.

Q2. In a directed graph of a Irreflexive relation, there should be (1 marks)

1. Loop on a one point
2. No loop at any point (Page 89)
3. No point connected

Correct answer: No loop at any point (Page 89)

Q4. How many functions are there from a set with three elements to a set with two elements? (1 marks)

1. 6
2. 8
3. 12

Correct answer: 8

m n

Q5. If a set contains exactly m distinct elements where m denotes some non negative integer then the set is. (1 marks)

1. Finite (Page 40)
2. Infinite
3. None of these

Correct answer: Finite (Page 40)

Q6. Let f and g be the functions defined by (1 marks)

f(x)= 2x+3 & g(x)= 3x+2 then composition of f and g is

1. 6x+6
2. 5x+5
3. 6x+7

Correct answer: 6x+7

fog f x

x

x x

Q7. Let f is defined recursively by (1 marks)

F(0)=3

F(n+1)=2f(n)+2

Then f(2)=

1. 8
2. 10
3. 18
4. 21

Correct answer: 18

f f

f f

Q9. If a pair of dice is thrown then the probability of getting a total of 5 or 11 is (1 marks)

Ø

Ø

Ø 1

1,4 2,3 , 3,2 , 4,1

5,6 , 6,5

5&11 Outcomes with sumof

Outcomes with sumof

Total outcomes for Total outcome for dice

Q10. If a die is rolled then what is the probability that the number is greater than 4 (1 marks)

Ø 1

Ø

Ø

5,6 Number greater than

Q11. What is the expectation of the number of heads when three fair coins are tossed? (1 marks)

1. 1
2. 1.34
3. 2
4. 1.5 (Page 277)

Correct answer: 1.5 (Page 277)

Q13. (1 marks)

1. abcdefgh
2. abefgha
3. abcdefgha (Page 297)

Correct answer: abcdefgha (Page 297)

Q14. Let n and d be integers and d ≠ 0. Then n is divisible by d or d divides n (1 marks)

1. n= k.d for some integer k (Page 179)
2. n=d
3. n.d=1
4. none of these

Correct answer: n= k.d for some integer k (Page 179)

Q16. The sum of two irrational number must be an irrational number (1 marks)

1. False (Page 197)
2. True

Correct answer: False (Page 197)