# 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/xโ2, g(x)=2xโ3f(x)=2x+20xโ2, g(x)=2xโ3 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 be set of prime numbers and ๐ be set of integers, then ๐ โฉ ๐ will be?

๐ โฉ ๐ = {0,1,2,3,5,7,11,13,17,19โฆโฆ.}

๐ โฉ ๐ = {3,5,7,11,13,17,19โฆโฆ.}

**๐ โฉ ๐ = {2,3,5,7,11,13,17,19โฆโฆ.}**

๐ โฉ ๐ = {1,2,3,5,7,11,13,17,19โฆโฆ.}

5. Which of the following is an empty set?

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

{x | x โ Z; -1 โค x โค 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

โ2

**โ64/โ25**

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:RโRf:RโR be defined by

f(x)=โงโฉโจ2x;x2;3x;x>31<x<3xโค3f(x)={2x;x>3×2;1<x<33x;xโค3

Then f(โ1)+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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