Union (A U B), intersection (A n B), difference (A - B), complement (A') Previous Year Questions | Prasnya
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Sets and Set Operations - Sets and Set Operations
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Union (A U...
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Q1
In a college of
500
500
students,
285
285
took Mathematics,
195
195
took Statistics,
115
115
took English,
70
70
took Mathematics and Statistics,
45
45
took Mathematics and English,
50
50
took Statistics and English, and
10
10
took all three courses. What is the total number of students who took none of these three subjects?
Integer answer
OCTOBER 24, 2024
OCTOBER 24, 2024
Q2
Find the cardinality of
R
1
∖
R
2
R_1\setminus R_2
.
Comprehension
OCTOBER 24, 2024
OCTOBER 24, 2024
Q3
A company opened recruitment for the post of data analyst.
500
500
candidates have applied for the post.
285
285
candidates are proficient in Python programming,
195
195
candidates are proficient in C programming,
115
115
candidates are proficient in Java programming,
45
45
candidates are proficient in Python and Java,
70
70
candidates are proficient in C and Python,
50
50
candidates are proficient in C and Java and
50
50
candidates do not know any of the programming languages. Find the number of candidates who are proficient in exactly one of the three programming languages.
Q4
Find the number of customers who bought milk and fruits.
Comprehension
FEBRUARY 15, 2024
FEBRUARY 15, 2024
Q5
Find the number of customers who bought milk and fruits but not bread.
Comprehension
FEBRUARY 14, 2024
FEBRUARY 14, 2024
Q6
A company opened recruitment for the post of data analyst.
500
500
candidates have applied for the post.
285
285
candidates are proficient in Python programming,
195
195
candidates are proficient in C programming,
115
115
candidates are proficient in Java programming,
45
45
candidates are proficient in Python and Java,
70
70
candidates are proficient in C and Python,
50
50
candidates are proficient in C and Java and
50
50
candidates do not know any of the programming languages. Find the number of candidates who are proficient in exactly one of the three programming languages.
Q7
NOTE: Enter your answer to the nearest integer. Let
A
A
be the set of all points on the curve defined by the function
f
1
(
x
)
=
x
2
−
x
−
30
f_1(x)=x^2-x-30
and let
B
B
be the set of all points on the curve
f
2
f_2
defined by the reflection of the curve
f
1
f_1
with respect to
X
X
-axis. If
C
C
is the set of all points on the axes (i.e.,
x
x
and
y
y
axis) then find the cardinality of set
D
D
where
D
=
(
A
∩
B
)
∪
(
A
∩
C
)
∪
(
B
∩
C
)
D=(A\cap B)\cup(A\cap C)\cup(B\cap C)
.
Integer answer
JULY 07, 2024
JULY 07, 2024
Integer answer
JULY 16, 2023
JULY 16, 2023
Integer answer
OCTOBER 16, 2022
OCTOBER 16, 2022
