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/x−2, g(x)=2x−3f(x)=2x+20x−2, g(x)=2x−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 𝑃 be set of prime numbers and 𝑍 be set of integers, then 𝑃 ∩ 𝑍 will be?
𝑃 ∩ 𝑍 = {0,1,2,3,5,7,11,13,17,19…….}
𝑃 ∩ 𝑍 = {3,5,7,11,13,17,19…….}
𝑃 ∩ 𝑍 = {2,3,5,7,11,13,17,19…….}
𝑃 ∩ 𝑍 = {1,2,3,5,7,11,13,17,19…….}
5. Which of the following is an empty set?
{x: x is a even prime greater than 3}
{x | x ∈ Z; -1 ≤ x ≤ 1}
{x: x is an odd prime number less than 5 }
{ϕ}
These are answers for NPTEL Discrete Mathematics Week 0 Assignment 0
6. Which of the following is a rational number(s)?
e
π
√2
√64/√25
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:R→Rf:R→R be defined by
f(x)=⎧⎩⎨2x;x2;3x;x>31<x<3x≤3f(x)={2x;x>3×2;1<x<33x;x≤3
Then f(−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
