Discrete Mathematics | Week 5
Quiz
Link : Discrete Mathematics Week 5 (nptel.ac.in)
1. Which of the following is(are) true for the given function?
f: R โ R
f(x)=x2+2 where, R is a set of real number
a. ๐ is not injective
d. ๐ is not surjective
2. Consider the following table:
We can think of this as a function ๐ from the set of students to the set of integers between 160 and 170. Now pick out the correct statement from the following.
ย d.ย ๐ is neither one to one nor onto
3. Let ๐: ๐ โ๐ such that f(x)=x/2+7
b. ๐ is bijective
4. If a function is defined as ๐(๐ฅ)=2๐ฅ+15 then the value of f-1(25) is
b. 5
5. Set ๐ถ has cardinality ๐ and a total of 5040 bijective functions. What is the value of ๐2?
d. 49
6. find the domain and range of the following real-valued function. f(x)=โ(3โx)
d. domain= {๐ฅ โ R | ๐ฅ โค 3}
range= {๐ฅ โ R | ๐ฅ โฅ 0}
7. If ๐ and ๐ are function from ๐ to ๐ and ๐(๐ฅ)=3๐ฅ2+๐ฅโ13 and ๐(๐ฅ)=20/(3๐ฅ+8) then ๐o๐ (12) is.
c. โ1443/121
8. Let us define a function ๐: ZโZ as follows,
f(x)= {x/2 if x is even, 0 if x is odd
Z is a set of integers.
a. onto but not one-to-one
9. The relation ๐ is defined as ๐ = {(x, y): ๐ฅ, y โ N, ๐ฅ + y = 5} then the range is?
d. {1,2,3,4}
10. Let ๐ด be set with cardinality ๐ and set ๐ต with cardinality ๐, there are a total of 3024 one to one function from ๐ด to ๐ต, what are the values of ๐ and ๐ respectively?
b. 4 and 9
Explanation* The material and content uploaded on this website are for general information and reference purposes only and don’t copy the answers of this website to any other domain without any permission or else copyright abuse will be in action.
Please do it by your own first!
