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SETS MATHS - SETS

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 459 questions in this chapter.

Question types

SETS question types

459 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

459
Questions
4
Question groups
5
Question types
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.

Q 1MCQ1 Mark
The smallest set $A$ such that $A ∪ \{1, 2\} = \{1, 2, 3, 5, 9\}$ is :
  • A
    $\{2, 3, 5\}$
  • ✓
    $\{3, 5, 9\}$
  • C
    $\{1, 2, 5, 9\}$
  • D
    $\{1, 2\}$

Answer: B.

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Q 2MCQ1 Mark
If $n(A) = 10, n(B) = 6$ and $(C) = 5$ for three disjoint sets $\text{A, B, C}$ then $n(A ∪ B ∪ C)$ equals:
  • ✓
    $21$
  • B
    $11$
  • C
    $1$
  • D
    $9$

Answer: A.

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Q 3MCQ1 Mark
Let $n$ be a fixed positive integer. Let a relation $R$ defined on $I\ ($the set of all integers$)$ as follows: $aRb$ if $ \frac{\text{n}}{(\text{a}-\text{b})}$, that is, if $a − b$ is divisible by $n,$ then, the relation $R$ is:
  • A
    Reflexive only
  • B
    Symmetric only
  • C
    Transitive only
  • ✓
    An equivalence relation

Answer: D.

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Q 4MCQ1 Mark
If A and B are two sets such that $\text{n(A)}=70, \text{ n(B)}=60, \text{ n(A}\cup\text{B)}=110,$ then $\text{n(A}\cap\text{B)}$ is equal to:
  • A
    240
  • B
    50
  • C
    40
  • ✓
    20

Answer: D.

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Q 5MCQ1 Mark
Which of the following is set?
  • ✓
    The collection of months having names starting with J.
  • B
    The collection of smart boys in your class.
  • C
    The collection of most talented persons.
  • D
    The collection of sand grains in a Earth.

Answer: A.

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Q 14(Each question 2 marks)2 Marks
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers.
Find the number of people who read exactly one newspaper.
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Q 15(Each question 2 marks)2 Marks
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers.
Find the number of people who read at least one of the newspaper.
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Q 17(Each question 3 marks)3 Marks
In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only?
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Q 18(Each question 3 marks)3 Marks
Let A and B are sets. If$A \cap X = B \cap X = \phi $and$A \cup X = B \cup X$for some set X. Show that A = B.
[Hints A = A $\cap$( A $\cup$X ) , B = B $\cap$( B $\cup$X ) and use Distributive law ]
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Q 19(Each question 3 marks)3 Marks
Decide among the following sets which sets are subsets of each another:
A = {X : X $\in$ R} and x satisfies x2 - 8x + 12 = 0}, B = {2, 4, 6} , C = {2, 4, 6, 8, ...}, D = {6}
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Q 20(Each question 3 marks)3 Marks
A college awarded 38 medals in Football, 15 in Basketball and 20 in Cricket. If these medals went to a total of 58 men and only three men got medals in all three sports, then how many received medals in exactly two of the three sports.
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