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अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this:
Question No. 10
In a class of 50 students, 28 students study mathematics and 35 study science. If a student studies at least one subject, then how many students study both mathematics and science?
A) 19
B) 17
C) 15
D) 13
Answer
3
अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this :
Q
.
Considering
the
set
U
=
{
p
:
p
=
n
,
n
∈
N
,
n
≤
10
}
as
the
universal
set
,
the
three
sets
A
,
B
,
and
C
are
defined
as
:
A
=
{
x
:
x
=
3
n
-
1
,
n
∈
N
and
n
≤
3
}
B
=
{
y
:
y
=
n
2
,
n
∈
N
and
n
3
<
30
}
C
=
{
z
:
z
=
2
n
,
n
∈
N
,
and
n
<
5
}
Which
of
the
following
sets
is
equal
to
the
set
A
∪
C
'
-
A
'
∪
B
'
?
1
.
A
2
.
U
3
.
(
A
∪
B
)
'
4
.
(
A
∪
B
∪
C
)
Answer
1
अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this:
Question No. 7
If A and B be two sets having 5 and 7 elements respectively, then find the minimum and maximum number of elements in A U B.
A) 2, 12
B) 3, 12
C) 5, 12
D) 7, 12
Answer
1
अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this:
Question No. 5
In a society of 1250 families, 500 read news paper X, 300 read newspaper Y and 150 read both the newspapers. What is the number of families that read neither newspaper?
A) 600
B) 550
C) 500
D) 450
Answer
1
अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this:
Question No. 4
In a survey, out of 750 students of a college, 475 read newspaper H and 525 read newspaper T. What is the least number of students who read both the newspapers?
A) 225
B) 250
C) 275
D) 300
Answer
1
अर्कज ..
Subject: Maths
, asked on 22/4/18
Solve this:
Question No. 1
A survey of 120 people in a particular locality shows that 80 people own bikes and 45 people own bikes but not cars. If each person owns at least one of the two vehicles, then what is the number of people who own a car but not a bike?
A) 60
B) 50
C) 40
D) 30
Answer
6
Uma
Subject: Maths
, asked on 21/4/18
Prove that A - (B U C) = (A - B) ∩ (A - C)
Answer
1
अर्कज ..
Subject: Maths
, asked on 21/4/18
Ques.
Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subset of A x B having 3 or more elements is
A) 256
B) 220
C) 219
D) 211
Answer
2
अर्कज ..
Subject: Maths
, asked on 21/4/18
L
e
t
A
a
n
d
B
b
e
t
w
o
s
e
t
s
c
o
n
t
a
i
n
i
n
g
f
o
u
r
a
n
d
t
w
o
e
l
e
m
e
n
t
s
r
e
s
p
e
c
t
i
v
e
l
y
.
T
h
e
n
t
h
e
n
u
m
b
e
r
o
f
s
u
b
s
e
t
s
o
f
t
h
e
s
e
t
A
×
B
,
e
a
c
h
h
a
v
i
n
g
a
t
l
e
a
s
t
t
h
r
e
e
e
l
e
m
e
n
t
s
i
s
:
A
)
219
B
)
256
C
)
275
D
)
510
Answer
2
अर्कज ..
Subject: Maths
, asked on 21/4/18
Q Let S = (1, 2, 3,...9). For k = 1, 2,...5, let
N
k
be the number of subsets of S, each containing five elements
out of which exactly k are odd. Then
N
1
+
N
2
+
N
3
+
N
4
+
N
5
A) 125
B) 252
C) 210
D) 126
Q. Q Let
S
=
x
∈
R
:
x
≥
0
a
n
d
2
x
-
3
+
x
x
-
6
+
6
=
0
.
. Then S
A) contains exactly two elements
8) contains exactly four elements.
C) is an empty set
D) contains exactly one element.
Answer
2
Utkarsh
Subject: Maths
, asked on 20/4/18
derive the formula of n(P(A))=2
n
Answer
1
अर्कज ..
Subject: Maths
, asked on 20/4/18
Theorem 2
Theorem 2 If A,B and C are any three sets,then prove that:
i
A
-
B
∩
C
=
A
-
B
∪
A
-
C
(
ii
)
A
-
(
B
∪
C
)
=
A
-
B
∩
A
-
C
(
iii
)
A
∩
B
-
C
=
A
∩
B
-
(
A
∩
C
)
(
iv
)
A
∩
B
△
C
=
A
∩
B
△
A
∩
C
Answer
1
अर्कज ..
Subject: Maths
, asked on 20/4/18
Theorem 1
THEOREM 1 If A and B are any two sets,then
i
A
-
B
=
A
∩
B
'
(
ii
)
B
-
A
=
B
∩
A
'
(
iii
)
A
-
B
=
A
⇔
A
∩
B
=
ϕ
(
iv
)
(
A
-
B
)
∪
B
=
A
∪
B
(
v
)
A
-
B
∩
B
=
ϕ
(
vi
)
A
⊆
B
⇔
B
'
⊆
A
'
(
vii
)
(
A
-
B
)
∪
(
B
-
A
)
=
(
A
∪
B
)
-
(
A
∩
B
)
Answer
1
अर्कज
Subject: Maths
, asked on 20/4/18
Illustration 2 and note
Answer
1
अर्कज
Subject: Maths
, asked on 20/4/18
Union of sets . What is proved there ?
Answer
1
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What are you looking for?
Question No. 10
In a class of 50 students, 28 students study mathematics and 35 study science. If a student studies at least one subject, then how many students study both mathematics and science?
A) 19
B) 17
C) 15
D) 13
Question No. 7
If A and B be two sets having 5 and 7 elements respectively, then find the minimum and maximum number of elements in A U B.
A) 2, 12
B) 3, 12
C) 5, 12
D) 7, 12
Question No. 5
In a society of 1250 families, 500 read news paper X, 300 read newspaper Y and 150 read both the newspapers. What is the number of families that read neither newspaper?
A) 600
B) 550
C) 500
D) 450
Question No. 4
In a survey, out of 750 students of a college, 475 read newspaper H and 525 read newspaper T. What is the least number of students who read both the newspapers?
A) 225
B) 250
C) 275
D) 300
Question No. 1
A survey of 120 people in a particular locality shows that 80 people own bikes and 45 people own bikes but not cars. If each person owns at least one of the two vehicles, then what is the number of people who own a car but not a bike?
A) 60
B) 50
C) 40
D) 30
A) 256
B) 220
C) 219
D) 211
out of which exactly k are odd. Then
A) 125
B) 252
C) 210
D) 126
Q. Q Let . Then S
A) contains exactly two elements
8) contains exactly four elements.
C) is an empty set
D) contains exactly one element.
Theorem 2 If A,B and C are any three sets,then prove that:
THEOREM 1 If A and B are any two sets,then