1. set theory - Gujarat Board (GSEB) STD 11 Science MATHS Questions

132

Questions

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01

MCQ

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Sample Questions

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.

Q 1MCQ1 Mark

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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Q 2MCQ1 Mark

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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Q 3MCQ1 Mark

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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Q 4MCQ1 Mark

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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Q 5MCQ1 Mark

If ${N_a} = [an:n \in N\} ,$ then ${N_5} \cap {N_7} = $

A
${N_7}$
B
$N$
✓
${N_{35}}$
D
${N_5}$

Answer: C.

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