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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

Explanation


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

Explanation


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

Explanation


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…….}

Explanation


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

Explanation


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

Explanation

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

Explanation


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

Explanation

9. Let f:R→R be defined by

f(x)={ 2x : x>3 ; x2 : 1<x<3 ; 3x : x <=3}

Then f(−1)+f(2)+f(4)
a. 9

Explanation

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

Explanation

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