Plus One Maths Chapter Wise Questions and Answers Chapter 1 Sets

by

Students can Download Chapter 1 Sets Questions and Answers, Plus One Maths Chapter Wise Questions and Answers helps you to revise the complete Kerala State Syllabus and score more marks in your examinations.

Kerala Plus One Maths Chapter Wise Questions and Answers Chapter 1 Sets

Plus One Maths Sets Three Mark Questions and Answers

Plus One Maths Chapter Wise Previous Questions And Answers Question 1.
There are 200 individuals with a skin disorder, 120 had been exposed to the chemical A, 50 to chemical B and 30 to both chemical A and B, Find the number of individuals exposed to

  1. Chemical A but not chemical B. (1)
  2. Chemical B but not.chemical C. (1)
  3. Chemical A or chemical B. (1)

Answer:
1. Given; n(U) = 200; n(A) = 120;
n(B) = 50; n(A∩B) = 30
n (Chemical A but not chemical B)
= n(A ∩ B’) = n(A) – n(A ∩ B) = 120 – 30 = 90

2. n (Chemical B but not chemical A)
= n(A’ ∩ B) = n(B) – n(A ∩ B) = 50 – 30 = 20

3. n (Chemical A or chemical B)
= n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
= 120 + 50 – 30 = 140.

Plus One Maths Sets Previous Questions And Answers Question 2.
In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice.
Answer:
Let A – Apple juice; O – Orange juice be the sets.
Given; n(U) = 400; n(A) = 100;
n(O) = 150; n(A ∩ O) = 75
n (neither apple juice nor orange juice)
= n(A’ ∩ O’) = n((A ∪ O)’)
= n(U) – n(A ∪ O)
= 400 – [n(A) + n(O) – n(A ∩ O)]
= 400 – [100 + 150 – 75] = 400 – 175 = 225.

Plus One Maths Sets Questions And Answers Pdf Download Question 3.
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speaks at least one of these two languages?
Answer:
Let F – French; S – Spanish be the sets.
Given; n(F) = 50; n(S) = 20;w(F ∩ S) = 10
n (speaks at least one of these two languages)
= n(F ∪ S) = n(F) + n(S) – n(F ∩ S)
= 50 + 20 – 10 = 60.

Plus One Maths Textbook Questions And Answers Question 4.
In a group of 65 people, 40 like cricket, 10 like both cricket and tennis, how many like tennis only and not cricket? How many like tennis?
Answer:
Let C – Cricket; T – Tennis be the sets.
Given;
n(C’ ∪ T) = 65; n(C) = 40; n(C ∩ T) = 10
n(C ∪ T) = n(C) + n(T) – n(C ∩ T)
⇒ 65 = 40 + n(T) – 10 ⇒ n(T) = 35
n (tennis only and not cricket)
= n(T ∪ C’) = n(T) – n(T ∩ C) = 35 – 10 = 25.

Plus One Maths Chapter Wise Questions And Answers Pdf Question 5.
Let A and B be two sets such that n( A) = 20, n(A ∪ B) = 42, n(A ∩ B) = 4. Find

  1. n(B) (1)
  2. n(B – A) (1)
  3. n(A – B) (1)

Answer:

  1. n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
    ⇒ 42 = 20 + n(B) – 4 ⇒ n(B) = 26
  2. n(B – A) = n(B) – n(A ∩ B) = 26 – 4 = 22
  3. n(A – B) = n(A) – n(A ∩ B) = 20 – 4 = 16.

Plus One Maths Chapter Wise Questions And Answers Question 6.
A = {x: x is a natural number less than 8}

  1. Write in roster form. (1)
  2. Write a subset of A containing all even numbers in A. (1)
  3. Which of the following could not be the number of elements of power set of a set [2, 8, 10, 16]? (1)

Answer:

  1. A = {1, 2, 3, 4, 5, 6, 7}
  2. {2, 4, 6} or {2, 4, 6, 7}
  3. 10. (since other are powers of 2.)

Plus One Maths Sets Four Mark Questions and Answers

Plus One Maths First Chapter Questions And Answers Question 1.
Observe the Venn diagram.
Plus One Maths Chapter Wise Previous Questions And Answers

  1. Write in roster form. (1)
  2. Verify that (A – B) ∪ (A ∩ B) = A (2)
  3. Find (A ∩ B)’ (1)

Answer:

  1. A = {1, 3, 4, 8} ; B = {2, 3, 5}
  2. A – B = {1, 4, 8}; A ∩ B = {3}
    ⇒ (A – B) ∪ (A ∩ B) = {1, 3, 4, 8}
    Hence; (A – B) ∪ (A ∩ B) = A
  3. (A ∩ B)’ = {1, 2, 4, 5, 6, 7, 8, 9}

Plus One Maths Sets Practice Problems Questions and Answers

Plus One Maths Chapter Wise Questions Question 1.
Write the following sets in roster form.

  1. A = {x: x xis an integer and -3 < x < 7}
  2. B = {x: x ∈ N; x ≤ 6}
  3. C = {x : x is a vowel in English alphabet}
  4. D = {x : x is a two-digit natural number such that the sum of its digits is 8}
  5. E = {x: x ∈ Z; \(-\frac{1}{2}<x<\frac{9}{2}\)}

Answer:

  1. A = {-2, -1, 0, 1, 2, 3, 4, 5, 6}
  2. B = {1, 2, 3, 4, 5, 6}
  3. C = {a, e, i, o, u}
  4. D = {17, 71, 26, 62, 35, 53}
  5. E = {1, 2, 3, 4}

Plus One Maths Text Book Questions And Answers Question 2.
Write the following sets in Set builder form.

  1. A = {3, 6, 9, 12}
  2. B = {2, 4, 8, 16, 32}
  3. C = \(\left\{\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\right\}\)
  4. D = {5, 25, 125, 625}
  5. E = {2, 4, 6……..} (1 score each)

Answer:

  1. A = {x: x = 3n, n ∈ N, n< 4 }
  2. B = {x: x = 2n; n ∈ N; n < 5 }
  3. C = {x: x = \(\frac{n}{n+1}\); n ∈ N, n ≤ 6}
  4. D = {x: x = 5n; n ∈ N, n ≤ 4 }
  5. E = {x: x is an even number}

Plus One Maths Chapter Wise Questions And Answers Pdf Hsslive Question 3.
Write the following in interval form.

  1. {x: x∈ R, -4 < x ≤ 6}
  2. {x: x∈ R, 0 ≤ x < 7 }
  3. {x: x∈ R, 3 ≤ x ≤ 4 } (1 score each)

Answer:

  1. (-4, 6]
  2. [0, 7)
  3. [3, 4]

Plus One Maths Sets Questions And Answers Pdf Question 4.
Write the following in set builder form.

  1. [0, 10]
  2. [-2, 7)
  3. (3, 4)

Answer:

  1. {x: x∈ R, 0 ≤ x ≤ 10 }
  2. { x: x ∈ R, -2 ≤ x < 7 }
  3. {x: x ∈ R, 3 < x < 4 }

Plus One Maths Questions And Answers Question 5.
Find Set A, B and Universal set U (1 score each)
Plus One Maths Sets Previous Questions And Answers
Answer:
A = {e, f, d}; B = {a, b, c, d} and U = {a, b, c, d, e, f, g, h}

Hsslive Maths Textbook Answers Plus One Question 6.
Write all subset of the following

  1. {1, 2}
  2. {a, b, c}
  3. Φ (1 score each)

Answer:

  1. Φ, {1}, {2}, {1, 2}
  2. Φ, {a}, {b}, {c} ,{a, b}, {a, c}, {b, c}, {a, b, c}
  3. Φ

Plus One Mathematics Questions And Answers Question 7.
Let A = {1, 2, {3, 4}, s, d, θ} , Which of the following statements are true/false and why?

  1. 3 ∈ A
  2. {1, {3, 4}} ∈ A
  3. {1, 2, 3} ⊂ A
  4. Φ ∈ A
  5. 1 ⊂ A (1 score each)

Answer:

  1. False
  2. True
  3. False
  4. False
  5. False

Important Questions For Class 11 Maths Sets Question 8.
If A = {1, 2, 4, 6, 7, 8}; B = {2, 5, 7, 9, 10} and C = {4 , 5, 9, 10}. Find

  1. A ∪ B
  2. B ∪ C
  3. A ∪ C
  4. A ∩ B
  5. B ∩ C
  6. A∪ B ∪ C
  7. A ∩ B ∩ C
  8. (A ∩ B) ∪ (C ∩ A) (1 score each)

Answer:

  1. A ∪ B = {1, 2, 4, 5, 6, 7, 8, 9, 10}
  2. B ∪ C = {2, 4, 5, 7, 9, 10}
  3. A ∪ C = {1, 2, 4, 5, 6, 7, 8, 9, 10}
  4. A ∩ B = {2, 7}
  5. B ∩ C = {5, 9, 10}
  6. A ∪ B ∪ C = {1, 2, 4, 5, 6, 7, 8, 9, 10}
  7. A ∩ B ∩ C = Φ
  8. (A ∩ B) ∪ (C ∩ A) = {2, 7} u {4} = {2, 4, 7}

Plus One Maths Important Questions And Answers Question 9.
If A = {2, 4, 6, 7, 8, 12}; B = {2, 7, 9, 10} and C = {5, 9, 10, 12}. Find

  1. A – B
  2. B – C
  3. A – C
  4. B – A
  5. C – A
  6. (A ∪ B) – C
  7. A – {B ∩ C)
  8. (A ∩ B) – (C ∩ A) (1 score each)

Answer:

  1. A – B = {4, 6, 8, 12}
  2. B – C = {2, 7}
  3. A – C = {2, 4, 6, 7, 8}
  4. B – A = {9, 10}
  5. C – A = {5, 9, 10}
  6. (A ∪ B) – C = {2, 4, 6, 7, 8, 9, 10, 12} – {5, 9, 10, 12} = {2, 4, 6, 7, 8}.
  7. A – (B ∩ C) = {2, 4, 6, 7, 8, 12} – {9, 10} = {2, 4, 6, 7, 8, 12}
  8. (A ∩ B) – (C ∩ A) = {2, 7} – {12} = {2, 7}

Plus One Maths Previous Questions And Answers Question 10.
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}; A = {2, 7, 9, 10} B = {5, 9, 10, 12} and C = {1, 4, 5, 7, 11}. Find

  1. A’
  2. B’
  3. A’ – C
  4. (B – A)’
  5. B’ ∩ C’
  6. (A ∪ B)’
  7. A’ ∩ B’ (1 score each)

Answer:

  1. A’ = { 1, 3, 4, 5, 6, 8, 11, 12}
  2. B’ = { 1, 2, 3, 4, 6, 7, 8, 11}
  3. A’ – C = {1, 3, 4, 5, 6, 8, 11, 12} – {2, 3, 6, 8, 9, 10, 12} = {1, 4, 5, 11}
  4. (B – A)’ = {5, 12}’ = {1, 2, 3, 4, 6, 7, 8, 9, 10, 11}
  5. B’ ∩ C’ = {1, 2, 3, 4, 6, 7, 8, 11} – {2, 3, 6, 8, 9, 10, 12} = {2, 3, 6, 8}
  6. (A ∪ B)’ = {2, 5, 7, 9, 10, 12}’ = {1, 3, 4, 6, 8, 11}
  7. A’ ∩ B’ = {1, 3, 4, 5, 6, 8, 11, 12} ∩ {1, 2, 3, 4, 6, 7, 8, 11} = {1, 3, 4, 6, 8, 11}

Plus One Maths Text Book Answers Question 11.
If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements, how many elements does X ∩ Y have?
Answer:
Given; n(X ∪ Y) = 50; n(X) = 28; n(Y) = 32
n(X ∪ Y) = n(X) + n(Y) – n(X ∩ Y)
⇒ 50 = 28 + 32 – n(X ∩ Y)
⇒ n(X ∩ Y) = 60 – 50 = 10