Discrete Mathematics | Week 0

Quiz

Link : Discrete Mathematics Week 0 (nptel.ac.in)

1. If f(x)=2x+20/x-2 ,g(x) = 2x-3 , then f(g(3)) is
c. 26

2. How many three digit numbers greater than 500 can be formed using numbers 1,3,5,7,9, without repetition?
b. 36

3. The coefficient of x⁴y² in the expression (4x²y+24⁾³is equal to
b. 1152

4. Let 𝑃 be set of prime numbers and 𝑍 be set of integers, then 𝑃 ∩ 𝑍 will be?
c. 𝑃 ∩ 𝑍 = {2,3,5,7,11,13,17,19…….}

5. Which of the following is an empty set?
a. {x: x is a even prime greater than 3}

6. Which of the following is a rational number(s)?
d. √64/√25

7. A dice is thrown in the air. The probability of getting odd numbers is
a. 1/2

8. The sum of two numbers is 27 and the product is 182. The numbers are:
c. 13 and 14

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