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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.

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Direct Method of proof
proof by contradiction
proof by contrapositive
None of these.
True
False
True
False
a^2 = b^2
a^2 > b^2
a^2 < b^2
None of these.
1+3+5+ ...+ (2k1) = k^2
LHS = p(1) = 2x11=1, RHS = 1^2 = 1
1+3+5+ ...+ (2(k+1)1) = (k+1)^2
1+3+5+ ...+ (2n1) = n^2
Select correct option:
True
False
True
False
n = d / k
n = d k
n = d + k
n = d  k
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.
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
(n2)!/(n2)=_________ ?
Select correct option:
(n1)!
(n2)!
(n3)!
(n2)(n3)!
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 2combinations 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?
Direct Method of proof
proof by contradiction
proof by contrapositive
None of these.
True
False
True
False
a^2 = b^2
a^2 > b^2
a^2 < b^2
None of these.
1+3+5+ ...+ (2k1) = k^2
LHS = p(1) = 2x11=1, RHS = 1^2 = 1
1+3+5+ ...+ (2(k+1)1) = (k+1)^2
1+3+5+ ...+ (2n1) = n^2
Select correct option:
True
False
True
False
n = d / k
n = d k
n = d + k
n = d  k
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.
0,1,2
0,1
1,2
1
Today Quiz
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
1/5
2/5
3/5
4/5
4
15
25
100
to tum koi upar wale he bata dete
11
12
13
14
2/3
5/12
1/24
1/2
ws
250
334
501
752
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 2combinations 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}
Direct Method of proof
proof by contradiction
proof by contrapositive
None of these.
True
False
True
False
a^2 = b^2
a^2 > b^2
a^2 < b^2
None of these.
1+3+5+ ...+ (2k1) = k^2
LHS = p(1) = 2x11=1, RHS = 1^2 = 1
1+3+5+ ...+ (2(k+1)1) = (k+1)^2
1+3+5+ ...+ (2n1) = n^2
Select correct option:
True
False
True
False
n = d / k
n = d k
n = d + k
n = d  k
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.
0,1,2
0,1
1,2
1
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