Question types

STD 11 - 1. set theory question types

132 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

132
Questions
1
Question groups
5
Question types
Sample Questions

STD 11 - 1. set theory questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Which of the following is a true statement
  • $\{a\} \subseteq  \{a, b, c\}$
  • B
    $\{a\}  \in \{a, b, c\}$
  • C
    $\phi \in \{a, b, c\}$
  • D
    None of these

Answer: A.

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Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
  • A
    $7, 6$
  • $6, 3$
  • C
    $5, 1$
  • D
    $8, 7$

Answer: B.

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If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {1 \over x},\,0 \ne x \in R\} $ $B = \{ (x,y):y =  - x,x \in R\} $, then
  • A
    $A \cap B = A$
  • B
    $A \cap B = B$
  • $A \cap B = \phi $
  • D
    None of these

Answer: C.

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Let $A = \{ (x,\,y):y = {e^x},\,x \in R\} $, $B = \{ (x,\,y):y = {e^{ - x}},\,x \in R\} .$ Then
  • A
    $A \cap B = \phi $
  • $A \cap B \ne \phi $
  • C
    $A \cup B = {R^2}$
  • D
    None of these

Answer: B.

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