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# Quiz # 3 of MTH202 - Discrete Mathematics

Quiz # 3 Dated: Feb 07, 14

Dear students!!!

Quiz # 3 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 # 3 Feb 13, 2014 Feb 14 Lectures 31-37

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### Replies to This Discussion

me ne to kr lia..lengthy MCQs thay

You will found all the quiz question here.

http://vu.samcoder.com/MTH202

Please all students related this subject Share your online Quizzes here to help each other.thanks

Please share the question and their answers of this quiz if anyone has done.
Thanks.

1. 'Reductio ad absurdum' is another name of ----------  Select correct option:

Direct Method of proof

proof by contrapositive

None of these.

1. The sum of any rational number and any irrational number is irrational.  Select correct option:

True

False

1. The word "algorithm" refers to a step-by-step method for performing some action.  Select correct option:

True

False

1. For all positive real numbers a and b, if a < b, then -----------  Select correct option:

a^2 = b^2

a^2 > b^2

a^2 < b^2

None of these.

1. To prove by mathematical induction for 1+3+5+ ...+ (2n-1) = n^2 for all positive integers, the basis step is ------------  Select correct option:

1+3+5+ ...+ (2k-1) = k^2

LHS = p(1) = 2x1-1=1, RHS = 1^2 = 1

1+3+5+ ...+ (2(k+1)-1) = (k+1)^2

1+3+5+ ...+ (2n-1) = n^2

1. If the Basis step is true, then there is no need to go further in the proof by Mathematical Induction.

Select correct option:

True

False

1.  the product of any two consecutive positive integers is divisible by 2.  Select correct option:

True

False

1. A non-zero integer d divides an integer n if and only if there exists an integer k such that ------------  Select correct option:

n = d / k

n = d k

n = d + k

n = d - k

1. Which of the following is true for n = 2?  Select correct option:

x^n - y^n is divisible by x - y.

x^n - y^n is divisible by (x - y)^2.

x^n - y^n is divisible by x^3 - y^3.

x^n - y^n is divisible by x^5 - y^5.

1.  If n is a positive integer, then n!= n for n =.......  Select correct option:

0,1,2

0,1

1,2

1

BC100401707

Quiz Start Time: 09:07 PM
Time Left     90
sec(s)
Question # 1 of 10 ( Start time: 09:07:08 PM )     Total Marks: 1
How many  1002 are not multiples of 4 ?
Select correct option:
250
334
501
752

Quiz Start Time: 09:07 PM
Time Left     88
sec(s)
Question # 2 of 10 ( Start time: 09:24:31 PM )     Total Marks: 1
The addition law of probability for two disjoint events A and B is -------
Select correct option:
P(A or B) = P (A) + P(B) - P (A and B)
P(A or B) = P (A) + P (B) - P(A) P(B)
P(A or B) = P(A) + P(B) + P(A) P(B)
P(A or B) = P(A) + P(B)

Quiz Start Time: 09:07 PM
Time Left     89
sec(s)
Question # 3 of 10 ( Start time: 09:25:57 PM )     Total Marks: 1
If A and B be events with P(A)=1/3, P(B)=1/4 and P(A intersection B)=1/6, then P(B | A)= ________ .
Select correct option:
2/3
1/12
1/24
1/2

Quiz Start Time: 09:07 PM
Time Left     89
sec(s)
Question # 4 of 10 ( Start time: 09:26:54 PM )     Total Marks: 1
How many bit strings of length two do not have two consecutive 1’s ?
Select correct option:
1
2
3
4

Quiz Start Time: 09:07 PM
Time Left     89
sec(s)
Question # 5 of 10 ( Start time: 09:28:19 PM )     Total Marks: 1
Let S = {1, 2, 3, 4, 5, 6}, A = {1, 3, 5}, B = {2, 4, 6}, then P(A U B) will be --------
Select correct option:
0
1
1/2
2/3

Quiz Start Time: 09:07 PM
Time Left     89
sec(s)
Question # 6 of 10 ( Start time: 09:29:50 PM )     Total Marks: 1
Which of the followings is correct option?
Select correct option:
C(n, 0) = n
C(n, n) = n
C(n, 1) = n
C(n, k) = C(n + k, n – k)

Quiz Start Time: 09:07 PM
Time Left     88
sec(s)
Question # 7 of 10 ( Start time: 09:32:21 PM )     Total Marks: 1
Which of the followings is the product set A * B * C ? where A = {a}, B = {b}, and C = {c, d}.
Select correct option:
{(a, b, c), (a, b, d)}
{(a, c, b), (a, d, b)}
{(b, c, a), (b, d, a)}
{(c, b, a), (d, b, a)}

Quiz Start Time: 09:07 PM
Time Left     87
sec(s)
Question # 8 of 10 ( Start time: 09:33:53 PM )     Total Marks: 1
Which of the followings is correct option?
Select correct option:
C(n, 0) = 1
C(n, n) = n
C(n, k) = C(n + k, n – k)
C(n, k) + C(n, k + 1) = C(n, k + 1)

Quiz Start Time: 09:07 PM
Time Left     89
sec(s)
Question # 9 of 10 ( Start time: 09:34:50 PM )     Total Marks: 1
Let A and B be the mutually exclusive events such that P ( A ) = 0.6, P ( B ) = 0.2, then P ( A U B ) = ?
Select correct option:
0.4
0.5
0.7
0.8

Quiz Start Time: 09:07 PM
Time Left     88
sec(s)
Question # 10 of 10 ( Start time: 09:36:05 PM )     Total Marks: 1
Which of the followings is the number of distinct permutations that can be formed using the letters of the word BUZZ ?
Select correct option:
4
8
12
24

bohut hi tuf quiz tha dimagh ghuma dia bamushkil 5 ya 6 mcqs theek hongay mere

If X and Y are random variables, then E(aX)is equal to
Select correct option:
E(aX)
aE(X)
aX
None of these
Question # 2 of 10 ( Start time: 01:11:47 PM ) Total Marks: 1
Which of the followings is the factorial form of 5 . 4 ?
Select correct option:
5/3
5!/3
5!/3!
5/3!
Question # 3 of 10 ( Start time: 01:12:57 PM ) Total Marks: 1
How many integers from 1 through 1002 are not multiples of 4 ?
Select correct option:
250
334
501
752

Question # 4 of 10 ( Start time: 01:14:18 PM ) Total Marks: 1
(n-2)!/(n-2)=_________ ?
Select correct option:
(n-1)!
(n-2)!
(n-3)!
(n-2)(n-3)!
Quiz Start Time: 01:10 PM
Time Left 19
sec(s)
Question # 5 of 10 ( Start time: 01:15:36 PM ) Total Marks: 1
If A and B be events with P(A)=1/3, P(B)=1/4 and P(A intersection B)=1/6, then P(A U B)= ________ .
Select correct option:
2/3
5/12
1/24
1/2
Quiz Start Time: 01:10 PM
Time Left 6
sec(s)
Question # 6 of 10 ( Start time: 01:17:06 PM ) Total Marks: 1
If X and Y are independent random variables,then E(XY)is equal to
Select correct option:
E(XY)
XE(Y)
YE(X)
E(x)E(y)
Quiz Start Time: 01:10 PM
Time Left 31
sec(s)
Question # 7 of 10 ( Start time: 01:18:31 PM ) Total Marks: 1
which of the followings is the correct option for 9!/0! ?
Select correct option:
9!
9
1
0

Quiz Start Time: 01:10 PM
Time Left 81
sec(s)
Question # 9 of 10 ( Start time: 01:20:50 PM ) Total Marks: 1
Let A and B be the mutually exclusive events, then P(A and B) = ?
Select correct option:
0
1
1/2
2/3

How many integers from 1 through 1002 are multiples of 4

249

250

250.5

251

Let X = {1, 2, 3}, then 2-combinations of the 3 elements of the set X are _______ ?

{1, 2}, {1, 3} and {2, 3}

{1, 2}, {2, 1}, {1, 3}, {3, 1}, {2, 3}, and {3, 2}

{1, 2}, {2, 1}, {1, 3} and {2, 3}

{1, 2}, {2, 1},{1, 3} and {3, 1}

What is the probability of the number of one head when two fair coins are tossed?

½

¼

How many integers from 1 through 1002 are not multiples of 4 ?

250

334

752

501

If two light bulbs are chosen at random from 5 bulbs of which 3 are defective, then which of the following is the probability that none is defective?

1/10

2/10

2/7

2/8

What is the minimum number of students in a class to be sure that two of them are born in the same month ?

11

12

13

14

Let A and B be the mutually exclusive events such that P ( A ) = 0.6, P ( B ) = 0.2, then P ( A U B ) = ?

0.4

0.5

0.7

0.8

How many different signals each consisting of five flags hung in a vertical line, can be formed from three identical red flags and two identical blue flags?

10

20

40

120

Let A and B be the mutually exclusive events, then P(A and B) = ?

0

1

½

2/3

Which of the followings is the product set A * B * C ? where A = {a}, B = {b}, and C = {c, d}

{(a, b, c), (a, b, d)}

{(a, c, b), (a, d, b)}

{(b, c, a), (b, d, a)}

{(c, b, a), (d, b, a)}

When a dice and a coin are tossed together, then which of the following is the sample space

{1, 2, 3, 4, 5, 6}

{H, T}

{1H, 2H, 3H, 4T, 5T, 6T}

{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}

If X and Y are random variables, then E(aX)is equal to

E(aX)

aE(X)

aX

None of these

P(n, 2)=90, Which of the followings is the value of n ?

10

15

90

45

Let S = {1, 2, 3, 4, 5, 6}, A = {1, 3, 5}, B = {2, 4, 6}, then P(A U B) will be --------

0

1

½

2/3

If X and Y are independent random variables,then E(XY)is equal to

E(XY)

XE(Y)

YE(X

E(x)E(y)

Let A be the subset of B, then ------------

P( A ) = P ( B )

P( A ) < P ( B )

P( A ) > P ( B )

P( A ) <= P ( B )

A box contains 5 different colored light bulbs. Which of the followings is the number of ordered samples of size 3 with replacement ?

8

15

125

243

If A, B and C are any three events, then P( A U B U C) = ?

If A and B be events with P(A)=1/3, P(B)=1/4 and P(A intersection B)=1/6, then P(A | B)= ________

. Suppose that A and B are events in a sample space S. If A and B are disjoint, could P(A)=0.6 and P(B)=0.5?

1. 'Reductio ad absurdum' is another name of ----------  Select correct option:

Direct Method of proof

proof by contrapositive

None of these.

1. The sum of any rational number and any irrational number is irrational.  Select correct option:

True

False

1. The word "algorithm" refers to a step-by-step method for performing some action.  Select correct option:

True

False

1. For all positive real numbers a and b, if a < b, then -----------  Select correct option:

a^2 = b^2

a^2 > b^2

a^2 < b^2

None of these.

1. To prove by mathematical induction for 1+3+5+ ...+ (2n-1) = n^2 for all positive integers, the basis step is ------------  Select correct option:

1+3+5+ ...+ (2k-1) = k^2

LHS = p(1) = 2x1-1=1, RHS = 1^2 = 1

1+3+5+ ...+ (2(k+1)-1) = (k+1)^2

1+3+5+ ...+ (2n-1) = n^2

1. If the Basis step is true, then there is no need to go further in the proof by Mathematical Induction.

Select correct option:

True

False

1.  the product of any two consecutive positive integers is divisible by 2.  Select correct option:

True

False

1. A non-zero integer d divides an integer n if and only if there exists an integer k such that ------------  Select correct option:

n = d / k

n = d k

n = d + k

n = d - k

1. Which of the following is true for n = 2?  Select correct option:

x^n - y^n is divisible by x - y.

x^n - y^n is divisible by (x - y)^2.

x^n - y^n is divisible by x^3 - y^3.

x^n - y^n is divisible by x^5 - y^5.

1.  If n is a positive integer, then n!= n for n =.......  Select correct option:

0,1,2

0,1

1,2

1

Today Quiz

• Let X = {1, 2, a, b}. Then 3-combinations of the 4 elements of the set X are _______ ?

1, 2, a}, {a, 2, 1},{b, 1, a} and {1, 2, b}

{1, b, a}, {a, b, 2},{b, 1, a} and {1, 2, b}

{1, 2, a}, {1, 2, b}, {1, a, b} and {2, a, b}

{1, 2, a}, {a, 2, 1}, {1, a, b}, and {b, a, 1}

Which of the followings is the number of distinct permutations that can be formed using the letters of the word BUZZ ?

4

8

12

24

• Let A and B be the mutually exclusive events such that P(A) = 1/5 and P(B) = 3/5, then P(A U B) = ?

1/5

2/5

3/5

4/5

• There are 5 girls students and 20 boys students in a class. How many students are there in total ?

4

15

25

100

• What is the minimum number of students in a class to be sure that two of them are born in the same month ?

to tum koi upar wale he bata dete

11

12

13

14

• If A and B be events with P(A)=1/3, P(B)=1/4 and P(A intersection B)=1/6, then P(A U B)= ________ .

2/3

5/12

1/24

1/2

• How many integers from 1 through 1002 are not multiples of 4 ?

ws

250

334

501

752

• Which of the followings is correct option?

C(n, 0) = 1

C(n, n) = n

C(n, k) = C(n + k, n – k)

C(n, k) + C(n, k + 1) = C(n, k + 1)

·  Let X = {1, 2, 3}, then 2-combinations of the 3 elements of the set X are _______ ?

{1, 2}, {1, 3} and {2, 3}

{1, 2}, {2, 1}, {1, 3}, {3, 1}, {2, 3}, and {3, 2}

{1, 2}, {2, 1}, {1, 3} and {2, 3}

{1, 2}, {2, 1},{1, 3} and {3, 1}

1. 'Reductio ad absurdum' is another name of ----------  Select correct option:

Direct Method of proof

proof by contrapositive

None of these.

1. The sum of any rational number and any irrational number is irrational.  Select correct option:

True

False

1. The word "algorithm" refers to a step-by-step method for performing some action.  Select correct option:

True

False

1. For all positive real numbers a and b, if a < b, then -----------  Select correct option:

a^2 = b^2

a^2 > b^2

a^2 < b^2

None of these.

1. To prove by mathematical induction for 1+3+5+ ...+ (2n-1) = n^2 for all positive integers, the basis step is ------------  Select correct option:

1+3+5+ ...+ (2k-1) = k^2

LHS = p(1) = 2x1-1=1, RHS = 1^2 = 1

1+3+5+ ...+ (2(k+1)-1) = (k+1)^2

1+3+5+ ...+ (2n-1) = n^2

1. If the Basis step is true, then there is no need to go further in the proof by Mathematical Induction.

Select correct option:

True

False

1.  the product of any two consecutive positive integers is divisible by 2.  Select correct option:

True

False

1. A non-zero integer d divides an integer n if and only if there exists an integer k such that ------------  Select correct option:

n = d / k

n = d k

n = d + k

n = d - k

1. Which of the following is true for n = 2?  Select correct option:

x^n - y^n is divisible by x - y.

x^n - y^n is divisible by (x - y)^2.

x^n - y^n is divisible by x^3 - y^3.

x^n - y^n is divisible by x^5 - y^5.

1.  If n is a positive integer, then n!= n for n =.......  Select correct option:

0,1,2

0,1

1,2

1

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