Questions · Page 2 of 3

[1 Mark Question Answer]

Question 521 Mark
Write down all possible subset of the set given below : $\{a, b, c, d\}$
Answer
$\begin{array}{l}\phi,\{a\},\{b\},\{c\},\{d\},\{a, b\},\{a, c\},\{a, d\},\{b, c\},\{b, d\},\{c, d\}, \\ \{a, b, c\},\{a, b, d\},\{a, c, d\},\{b, c, d\},\{a, b, c, d\}\end{array}$
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Question 531 Mark
Write down all possible subset of the set given below : $\{c, d, e\}$
Answer
$\phi,\{c\},\{d\},\{e\},\{c, d\},\{d, e\},\{c, e\},\{c, d, e\}$
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Question 551 Mark
Write down all possible subset of the set given below : $\{2,3,5\}$
Answer
$\phi,\{2\},\{3\},\{5\},\{2,3\},\{3,5\},\{2,5\},\{2,3,5\}$
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Question 581 Mark
Suggest a universal set for the set given below : (vowels in English alphabet), (consonants in English alphabet).
Answer
$U =\{x: x$ is a letter in English alphabet $\}$
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Question 591 Mark
Suggest a universal set for the set given below : {odd numbers less than 8), (prime numbers less than 8} and (even numbers between 3 and 8).
Answer
$U =\{1,2,3,4,5,6,7\}$
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Question 601 Mark
Suggest a universal set for the set given below : (5, 7, 9), (3, 5, 7}, {1, 3, 9) and {2, 4, 8).
Answer
$U =\{1,2,3,4,5,7,8,9\}$
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Question 611 Mark
Let the set I of all integers be the universal set and let $A =\{x: x$ is a negative integer $\}$ be its subset. Find $A ^{\prime}$.
Answer
$A ^{\prime}=\{x: x$ is a non-negative integer $\}$
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Question 621 Mark
Let U (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) be the universal set and let
A = {5, 7, 11, 13), B = {6, 8, 10, 12, 14, 16) and C = (5, 6, 8, 10, 11, 12) be its subsets.
Find : $C ^{\prime}$
Answer
$C ^{\prime}=\{7,9,13,14,15,16\}$
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Question 631 Mark
Let U (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) be the universal set and let
A = {5, 7, 11, 13), B = {6, 8, 10, 12, 14, 16) and C = (5, 6, 8, 10, 11, 12) be its subsets.
Find : $B ^{\prime}$
Answer
$B ^{\prime}=\{5,7,9,11,13,15\}$
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Question 641 Mark
Let U (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) be the universal set and let
A = {5, 7, 11, 13), B = {6, 8, 10, 12, 14, 16) and C = (5, 6, 8, 10, 11, 12) be its subsets.
Find : $A ^{\prime}$
Answer
$A ^{\prime}=\{6,8,9,10,12,14,15,16\}$
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Question 651 Mark
Let A = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
Write the subset of A containing : all multiples of 4.
Answer
$\{4,8,12\}$
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Question 661 Mark
Let A = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
Write the subset of A containing : all prime numbers
Answer
$\{2,3,5,7,11\}
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Question 671 Mark
Let A = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
Write the subset of A containing : (i) all odd numbers
Answer
$\{1,3,5,7,9,11\}$
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Question 681 Mark
For the pair of set, identify the disjoint and overlapping set : $G =\{x: x=8 n, n \in N$ and $n<7\}$ and $H =\{x: x=9 n, n \in N$ and $n<7\}$.
Answer
disjoint
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Question 691 Mark
For the pair of set, identify the disjoint and overlapping set : $E =\{x: x=4 n, n \in N\}$ and $F =\{x: x=9 n, n \in N\}$.
Answer
overlapping
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Question 701 Mark
For the pair of set, identify the disjoint and overlapping set : $C =\{x: x \in N , x<10\}$ and $D =\{x: x \in N , x$ is a multiple of 5$\}$.
Answer
overlapping
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Question 711 Mark
For the pair of set, identify the disjoint and overlapping set :
$\begin{array}{l} A =\{x: x \text { is a prime number, } x<8\}
\\ B =\{x: x \text { is an even natural number, } x<8\} .\end{array}$
Answer
overlapping
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Question 721 Mark
Identify whether the given pair consist of equal or equivalent but not equal sets or none : $J =\{x: x \in N, x \neq x\}$ and $K =\{x: x \in N, 6
Answer
$J = K$
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Question 731 Mark
Identify whether the given pair consist of equal or equivalent but not equal sets or none : $G =\{a, b, c\}$ and $H =\{x, y, z\}$.
Answer
$G \leftrightarrow H$
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Question 741 Mark
Identify whether the given pair consist of equal or equivalent but not equal sets or none : $E=$ set of first five whole numbers.
F = set of first five natural numbers.
Answer
$E \leftrightarrow F$
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Question 751 Mark
Identify whether the given pair consist of equal or equivalent but not equal sets or none :
$\mathrm{C}=\{x: x \in \mathrm{~N}, x+5=6\}$ and $\mathrm{D}=\{x: x \in \mathrm{~W}, x<1\}$.
Answer
$C \leftrightarrow D$
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Question 761 Mark
Identify whether the given pair consist of equal or equivalent but not equal sets or none :
A = set of letters of the word 'FLOWER'.
B = set of letters of the word 'FOLLOWER'.
Answer
$A = B$
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Question 781 Mark
Identify the null set :$\mathrm{E}=\{x: x$ is a perfect square number, $40< x <50\}$.
Answer
Not empty set
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Question 861 Mark
Whether the given set is finite or infinite : Set of all points on a line segment 1 cm long.
Answer
Infinite
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Question 901 Mark
Write the set in set-builder form : $\mathrm{B}=\{1,2,3,5,6,10,15,30\}$.
Answer
$B =\{x: x$ is a factor of 30$\}$
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Question 931 Mark
Write the set in set-builder form F = F = \{April, June, September, November $\}.$
Answer
$F =\{x: x$ is a month of a year having 30 days $\}$
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Question 941 Mark
Write the set in set-builder form : $D =\left\{\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \ldots, \frac{8}{9}\right\}$.
Answer
$D =\left\{x: x=\frac{n}{n+1}, n \in N, 1 \leq n \leq 8\right\}$
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Question 951 Mark
Write the set in set-builder form : $C=\{-9,-6,-3,0,3,6,9,12,15\}$.
Answer
$C =\{x: x=3 n, n \in I ,-3 \leq n \leq 5\}$
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Question 961 Mark
Write the set in set-builder form :$A=\{4,6,8,9,10,12,14,15,16,18\}$.
Answer
$A =\{x: x$ is a composite number, $1
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Question 971 Mark
Write the set in set-builder form : $E=\left\{\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \frac{1}{11}, \frac{1}{13}, \frac{1}{17}, \frac{1}{19}\right\}$.
Answer
$E =\left\{x: x=\frac{1}{n}, n\right.$ is prime, $\left.2
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Question 981 Mark
Write the set in Roster form and write the cardinal number of : $H =\{x: x$ is a digit in the numeral 2362 $\}$.
Answer
$H =\{2,3,6\}, n( H )=3$
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Question 991 Mark
Write the set in Roster form and write the cardinal number of : $G =\{x: x$ is a primary colour $\}$.
Answer
$G =\{$ Red, Blue, Yellow $\}, n( G )=3$
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Question 1001 Mark
Write the set in Roster form and write the cardinal number of : $F =\{x: x$ is a letter in the word 'COMMON' $\}$.
Answer
$F =\{ C , O , M , N \}, n(F)=4$
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[1 Mark Question Answer] - Page 2 - MATHS STD 7 Questions - Vidyadip