If T = {1, 2, 3, 4, 5} and M = {3,4, 7, 8}, then T ∪ M = ?
- A{1, 2, 3, 4, 5,7}
- B{1, 2, 3, 7, 8}
- ✓{1, 2, 3, 4, 5, 7, 8}
- D{3, 4}
Answer: C.
View full solution →Question types
Sets question types
72 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
72
Questions
6
Question groups
5
Question types
01
MCQ(1M)
10 Q→02Fill in the Blanks.
1 Q→031 Mark Question
16 Q→042 Mark Question
20 Q→053 Mark Question
9 Q→065 Mark Question
16 Q→Sample Questions
Sets questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
P = {x | x is an odd natural number, 1< x < 5}. How to write this set in roster form?
- A{1, 3, 5}
- ✓{1, 2, 3, 4, 5}
- C{1, 3}
- D{3, 5}
Answer: B.
View full solution →Which of the following set represent N ∩W?
- ✓{1, 2, 3,….}
- B{0, 1, 2, 3,….}
- C{0}
- D{ }
Answer: A.
View full solution →Which of the following collections is a set ?
- ✓Colors of the rainbow
- BTall trees in the school campus.
- CRich people in the village
- DEasy examples in the book
Answer: A.
View full solution →Which of the following sets are empty sets?
- ✓Set of intersecting points of parallel lines.
- BSet of even prime numbers.
- CMonth of an english calendar having less than 30 days.
- DP = {x | x ∈ I , – 1 < x < 1}
Answer: A.
View full solution →Fill in the blanks with elements of that set.
U = {1, 3, 5, 8, 9, 10, 11, 12, 13, 15}
A = {1,11, 13}
B = {8,5, 10, 11, 15}
A’ = { }
B’ = { }
A ∩ B = { }
A’ ∩ B’ = { }
A ∪ B = { }
A’ ∪ B’= { }
(A ∩ B)’ = { }
(A ∪ B)’ = { }
Verify: (A ∩ B)’ = A’ u B’, (A u B)’ = A’ ∩ B’
U = {1, 3, 5, 8, 9, 10, 11, 12, 13, 15}
A = {1,11, 13}
B = {8,5, 10, 11, 15}
A’ = { }
B’ = { }
A ∩ B = { }
A’ ∩ B’ = { }
A ∪ B = { }
A’ ∪ B’= { }
(A ∩ B)’ = { }
(A ∪ B)’ = { }
Verify: (A ∩ B)’ = A’ u B’, (A u B)’ = A’ ∩ B’
Write the following sets using listing method and classify into finite or infinite set :
F = {(a, b) | a, b ∈ Q, a + b = 11}
Write the following sets using listing method and classify into finite or infinite set :
$E=\left\{x \mid x \in I, x^2=100\right\}$
View full solution →$E=\left\{x \mid x \in I, x^2=100\right\}$
Write the following sets using listing method and classify into finite or infinite set :
D = {(a, b) | a, b ∈ W, a + b = 9}
Write the following sets using listing method and classify into finite or infinite set :
C = {x | x ∈ N, and x is divisible by 7 }
Write the following sets using listing method and classify into finite or infinite set :
B = {x | x ∈ N and 3x -1 = 0}
If n(A) = 7, n(B) = 13, n(A ∩ B) = 4, then n(A ∪ B) = ?
Observe the Venn diagram and write the given sets U, A, B, A ∪ B and A ∩ B.
If M is any set, then write M ∪Φ and M ∩ Φ.
If n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, then n(A ∩ B) = ?
Every student should take 9 triangular sheets of paper and one plate. Numbers from 1 to 9 should, be written on each triangle. Everyone should keep some numbered triangles in the plate. Now the triangles in each plate form a subset of the set of numbers from 1 to 9.
Look at the plates of Sujata, Hameed, Mukta, Nandini, Joseph with the numbered triangles. Guess the thinking behind selecting these numbers. Hence write the subsets in set builder form.
Look at the plates of Sujata, Hameed, Mukta, Nandini, Joseph with the numbered triangles. Guess the thinking behind selecting these numbers. Hence write the subsets in set builder form.
Write the subset relations between the following sets.
X = set of all quadrilaterals.
Y = set of all rhombuses.
S = set of all squares.
T = set of all parallelograms.
V = set of all rectangles.
X = set of all quadrilaterals.
Y = set of all rhombuses.
S = set of all squares.
T = set of all parallelograms.
V = set of all rectangles.
In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal, 10 students have dog and cat both, then how many students do not have dog or cat as their pet animal at home?
70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya?
In a class of 70 students, 45 students like to play Cricket. 52 students like to play Kho-kho. All the students like to play atleast one of the two games. How many students like to play Cricket or Kho-kho ?
Suppose U = {1, 3, 9, 11, 13, 18, 19}, and B = {3, 9, 11, 13}. Find (B’)’ and draw the inference.
Represent the union of two sets by Venn diagram for each of the following.
i. A = {3, 4, 5, 7},B = {1, 4, 8} l Marks
ii. P {a, b, c, e, f, Q = {l, m, n, e, b) I Markj
iii. X = {x x is a prime number between 80 and 100}
Y = { y | y is an odd number between 90 and 100}
i. A = {3, 4, 5, 7},B = {1, 4, 8} l Marks
ii. P {a, b, c, e, f, Q = {l, m, n, e, b) I Markj
iii. X = {x x is a prime number between 80 and 100}
Y = { y | y is an odd number between 90 and 100}
Out of 100 persons in a group, 72 persons speak English and 43 persons speak French. Each one out of 100 persons speak at least one language. Then how many speak only English? How many speak only French ? How many of them speak English and French both?
Fill in the blanks given in the following table.
Verify the above rule for the given Venn diagram.
A = {1,2,3, 5, 7,9,11,13}
B = {1,2,4, 6, 8,12,13}
Verify the above rule for the given set A and set B.
B = {1,2,4, 6, 8,12,13}
Verify the above rule for the given set A and set B.
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