Discrete Mathematics Week 0 Assignment 0

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Assignment Link: https://onlinecourses.nptel.ac.in/noc22_cs123/unit?unit=16&assessment=528

These are answers for NPTEL Discrete Mathematics Week 0 Assignment 0

1. If f(x)=2x+20/xโˆ’2, g(x)=2xโˆ’3f(x)=2x+20xโˆ’2, g(x)=2xโˆ’3 then f(g(3))f(g(3)) is______

3

13

26

49


2. How many three digit numbers greater than 500 can be formed using numbers 1,3,5,7,9, without repetition?

24

36

16

48


3. The coefficient of x^4y^2x^4y^2 in the expression (4x2y+24)3(4x2y+24)3 is equal to ______ .

64

1152

6912

13824


4. Let ๐‘ƒ be set of prime numbers and ๐‘ be set of integers, then ๐‘ƒ โˆฉ ๐‘ will be?

๐‘ƒ โˆฉ ๐‘ = {0,1,2,3,5,7,11,13,17,19โ€ฆโ€ฆ.}

๐‘ƒ โˆฉ ๐‘ = {3,5,7,11,13,17,19โ€ฆโ€ฆ.}

๐‘ƒ โˆฉ ๐‘ = {2,3,5,7,11,13,17,19โ€ฆโ€ฆ.}

๐‘ƒ โˆฉ ๐‘ = {1,2,3,5,7,11,13,17,19โ€ฆโ€ฆ.}


5. Which of the following is an empty set?

{x: x is a even prime greater than 3}

{x | x โˆˆ Z; -1 โ‰ค x โ‰ค 1}

{x: x is an odd prime number less than 5 }

{ฯ•}


These are answers for NPTEL Discrete Mathematics Week 0 Assignment 0


6. Which of the following is a rational number(s)?

e

ฯ€

โˆš2

โˆš64/โˆš25


7. A dice is thrown in the air. The probability of getting odd numbers is

1/2

1/3

1/6

2/5


8. The sum of two numbers is 27 and the product is 182. The numbers are:

12 and 13

13 and 26

13 and 14

12 and 15


9. Let f:Rโ†’Rf:Rโ†’R be defined by

f(x)=โŽงโŽฉโŽจ2x;x2;3x;x>31<x<3xโ‰ค3f(x)={2x;x>3×2;1<x<33x;xโ‰ค3

Then f(โˆ’1)+f(2)+f(4)

9

14

5

12


10. If x+1x=2,x+1x=2, then what will be the value of x7+1×7?

1

2

7/2

7


Discrete Mathematics All Weeks: https://progies.in/answers/nptel/discrete-mathematics


These are answers for NPTEL Discrete Mathematics Week 0 Assignment 0


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