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Quiz # 1 will be conducted as per following schedule. And no grace period will be granted in any case and no quiz will be rescheduled. So try to appear in the very next day.

 Sr. No. Quiz Title Start Date End Date Syllabus 1 Quiz # 1 Dec 09, 2013 Dec 11, 2013 Lectures 11-17

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Quiz

MTH202_Discrete Mathematics

• Let X = {1,5,9} and Y = {3,4,7}.Define a function f from X to Y such that f(1) = 7 f(5) = 3 f(9) = 4 then which one of the following statement about ‘f’ is true?

• f is not one-to-one

• f is not onto

• f is both one-to-one and onto

• f is neither one-to-one nor onto
• Let A = {1, 2, 3, 4} and define a relation R on A by R = {(1, 1), (1, 2), (1, 3), (2, 3)}. Then which one of the following is a correct statement about R:

• R is transitive

• R is reflexive

• R is both transitive and reflexive

• R is neither reflexive nor transitive

• Let A = {1,2,3,…,50}and B = {2,4,6,8,10}. Then the Cartesian product of A and B has _______elements.

• 5

• 50

• 100

• 250

• If r is a positive real number,then the value of r in 3.r.r = -27r is ......

• +9

• -9

• 0

• none
• The relation “divides” on the set of integers is _________________.

• A symmetric relation

• An antisymmetric relation

• Neither symmetric nor antisymmetric

• Both symmetric and antisymmetric

• For any set A, the Cartesian product of A and A is known as _______________ .

• empty

• universal

• Let A = {0, 1, 2} and R = {(0,2), (1,1), (2,0)} be a relation on A. Then which of the following ordered pairs are needed to make it transitive?

• 2,0) and (0,2)

• (0,0) and (2,2)

• (0,0) and (0,2)

• (2,0) and (2,2)

Let f(x)=2x and g(x)= x+2 Then (f-g)(x)= .....

• x+2

• x

• 2x

• x-2

• If 1st term of a geometric sequence is 2 and common ratio is 1/2,then 3rd term of sequence is

• -2

• 0

• 1/2

• 1/4

• Let f(x)=3x and g(x)=x+2 define functions f and g from R to R. Then (f.g)(x)=......

• 4x+2

• 3x+6

• 0

• 3x.x+6x

Let A = {1,2,3,4} and R = {(1,2), (2,3), (3,3), (3,4)} be a relation on A. Then which one of the following ordered pair has made R not an irreflexive relation?

R is not symmetric iff there are elements a and b in A such that ____________ .

Let A={1,2,3} and B = {2,4}then number of binary relations from A to B are ____________ .

Let R and S be transitive relations on a set A then __________________

Let X = {2,4,5} and Y={1,2,4 }and R be a relation from X to Y defined by R = {(2,4), (4,1), (a,2)}. For what value of ‘a ‘ the relation R is a function ?

Let f be a function from X = {2,4,5} to Y = {1,2,4,6} defined as:f = {(2,6), (4,2), (5,1)} Then range of f is _____________ .

Let A = {0,1} and B = {1}.Let R and S be two binary relations on Cartesian product of A and B such that R={(0,1)} and S ={(1,1)}. Then R intersection S = ________________ .

Let R be a relation on a set A. If R is symmetric then its compliment is ___________ .

Let f(x)=x and g(x)=-x for all x belongs to R,then f+g(x)is.......

Let A = {0, 1, 2} and R = {(0,2), (1,1), (2,0)} be a relation on A. Then which of the following ordered pairs are needed to make it transitive?

My Today quiz.

Quiz Start Time: 12:50 PM
Time Left     89
sec(s)
Question # 1 of 10 ( Start time: 12:50:12 PM )     Total Marks: 1
Let A = {1,2,3,4} and define the relation R on A by R = {(1,2), (2,3), (3,3), (3,4)}.Then ________
Select correct option:
R is reflexive
R is irreflexive
R is both reflexive and irreflexive
R is neither reflexive nor irreflexive

Quiz Start Time: 12:50 PM
Time Left     88
sec(s)
Question # 2 of 10 ( Start time: 12:51:31 PM )     Total Marks: 1
Let A = {1,2,3} and R be the relation defined on A such that R ={(1,1), (1,2), (2,3), (3,1)}, then R is _______ .
Select correct option:
Symmetric
Antisymmetric

Quiz Start Time: 12:50 PM
Time Left     89
sec(s)
Question # 3 of 10 ( Start time: 12:52:52 PM )     Total Marks: 1
Let A = {0, 1, 2} and R = {(0,2), (1,1), (2,0)} be a relation on A. Then which of the following ordered pairs are needed to make it transitive?
Select correct option:
(2,0) and (0,2)
(0,0) and (2,2)
(0,0) and (0,2)
(2,0) and (2,2)

Quiz Start Time: 12:50 PM
Time Left     88
sec(s)
Question # 4 of 10 ( Start time: 12:54:04 PM )     Total Marks: 1
The functions fog and gof are always equal.
Select correct option:
True
False

Quiz Start Time: 12:50 PM
Time Left     88
sec(s)
Question # 5 of 10 ( Start time: 12:54:55 PM )     Total Marks: 1
The functions f and g are inverse of each other if and only if their composition gives........
Select correct option:
constant function
identity function
bijective function
injective function

BC100401707

Quiz Start Time: 12:50 PM
Time Left     88
sec(s)
Question # 6 of 10 ( Start time: 12:55:54 PM )     Total Marks: 1
Let A={1,2,3} and B = {2,4}then number of binary relations from A to B are ____________ .
Select correct option:
6
9
16
64

Quiz Start Time: 12:50 PM
Time Left     88
sec(s)
Question # 7 of 10 ( Start time: 12:56:43 PM )     Total Marks: 1
Inverse of a surjective function is always a function.
Select correct option:
True
False

Quiz Start Time: 12:50 PM
Time Left     89
sec(s)
Question # 8 of 10 ( Start time: 12:57:30 PM )     Total Marks: 1
Let X ={1,2,3,4}and Y = {7,8,9}and let f be function defined from X to Y such that f is onto then which of the following statement about f is true?
Select correct option:
Co-domain of f must contain 1 element
Co-domain of f must contain 2 elements
Co-domain of f must contain 3 elements
Co-domain of f must contain 4 elements

Quiz Start Time: 12:50 PM
Time Left     40
sec(s)
Question # 9 of 10 ( Start time: 12:58:53 PM )     Total Marks: 1
Let A = {0,1} and B = {1}.Let R and S be two binary relations on Cartesian product of A and B such that R={(0,1)} and S ={(1,1)}. Then R intersection S = ________________ .
Select correct option:
{0,1}
{1,1}
{(0,1)}
empty

Quiz Start Time: 12:50 PM
Time Left     89
sec(s)
Question # 10 of 10 ( Start time: 01:00:04 PM )     Total Marks: 1
Let f be a function from X = {2,4,5} to Y = {1,2,4,6} defined as:f = {(2,6), (4,2), (5,1)} Then range of f is _____________ .
Select correct option:
1,2,6
2,4,5
{1,2,6}
{2,4,5}

Question # 1 of 10 ( Start time: 12:50:12 PM )     Total Marks: 1
Let A = {1,2,3,4} and define the relation R on A by R = {(1,2), (2,3), (3,3), (3,4)}.Then ________
Select correct option:
R is reflexive
R is irreflexive true ans.
R is both reflexive and irreflexive
R is neither reflexive nor irreflexive

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