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Question 11 Mark
In a class of 45 pupils, 21 play chess, 23 play cards and 5 play both the games. Find : how many play cards only.
Answer
18
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Question 21 Mark
In a class of 45 pupils, 21 play chess, 23 play cards and 5 play both the games. Find : how many play chess only;
Answer
16
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Question 31 Mark
In a class of 45 pupils, 21 play chess, 23 play cards and 5 play both the games. Find : how many do not play any of the games;
Answer
6
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Question 41 Mark
In a class of 40 students, each one plays either Tennis or Badminton or both. If 28 play Tennis and 26 play Badminton, find : how many play Badminton only.
Answer
12
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Question 51 Mark
In a class of 40 students, each one plays either Tennis or Badminton or both. If 28 play Tennis and 26 play Badminton, find : how many play Tennis only;
Answer
14
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Question 61 Mark
There is a group of 50 persons who can speak English or Tamil or both. Out of these persons, 37 can speak English and 30 can speak Tamil :
How many can speak both English and Tamil?
Answer
17
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Question 71 Mark
In a city, there are 25 Hindi medium schools, 18 English medium schools and 7 schools have both the mediums. Find :
how many schools have English medium only.
Answer
11
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Question 81 Mark
In a city, there are 25 Hindi medium schools, 18 English medium schools and 7 schools have both the mediums. Find :
how many schools have Hindi medium only;
Answer
18
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Question 91 Mark
In a city, there are 25 Hindi medium schools, 18 English medium schools and 7 schools have both the mediums. Find :
how many schools are there in all in the city
Answer
36
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Question 101 Mark
Let $A$ and $B$ be two sets such that $n(A)=52, n(B)=60$ and $n(A \cap B)=16$. Draw a Venn diagram and find : $n(B- A )$.
Answer
$n(B- A )=44$
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Question 111 Mark
Let $A$ and $B$ be two sets such that $n(A)=52, n(B)=60$ and $n(A \cap B)=16$. Draw a Venn diagram and find : $n(A \cup B )$
Answer
$n(A \cup B )=96$
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Question 121 Mark
Let $A$ and $B$ be two sets such that $n(A)=52, n(B)=60$ and $n(A \cap B)=16$. Draw a Venn diagram and find : $n(A- B )$
Answer
$n(A- B )=36$
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Question 131 Mark
All the people in a locality read the daily newspaper Indian Express or Hindustan Times or both. If 120 read Indian Express and 150 read Hindustan Times and 36 read both, find : how many people read only Indian Express.
Answer
84
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Question 141 Mark
All the people in a locality read the daily newspaper Indian Express or Hindustan Times or both. If 120 read Indian Express and 150 read Hindustan Times and 36 read both, find : how many people are there in the locality;
Answer
234
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Question 151 Mark
Let U = (3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A (6, 12, 18, 24) be its subset. Verify that : $\left( A ^{\prime}\right)^{\prime}= A$
Answer
self
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Question 161 Mark
Let U = (3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A (6, 12, 18, 24) be its subset. Verify that : $A \cup A ^{\prime}= U$
Answer
self
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Question 171 Mark
Let U = (3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A (6, 12, 18, 24) be its subset. Verify that : $A \cap A ^{\prime}=\phi$
Answer
self
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Question 181 Mark
Let U = (3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A (6, 12, 18, 24) be its subset. Verify that : $A \cap A = A$
Answer
self
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Question 191 Mark
Let U = (3, 6, 9, 12, 15, 18, 21, 24) be the universal set and let
A (6, 12, 18, 24) be its subset. Verify that : $A \cup A = A$
Answer
self
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Question 201 Mark
Let U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) be the universal set and let A = (2, 3, 4, 5, 6) and B = (3, 5, 7, 8) be its subsets.Find : $A ^{\prime} \cup B ^{\prime}$
Answer
$A ^{\prime} \cup B ^{\prime}=\{1,2,4,6,7,8,9,10\}$
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Question 211 Mark
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set and let A = (2, 3, 4, 5, 6) and B = (3, 5, 7, 8) be its subsets.Find : $A ^{\prime} \cap B ^{\prime}$
Answer
$A ^{\prime} \cap B ^{\prime}=\{1,9,10\}$
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Question 221 Mark
Let U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} be the universal set and let A = \{2, 3, 4, 5, 6\} and B = (3, 5, 7, 8) be its subsets.Find : $B ^{\prime}$
Answer
$B ^{\prime}=\{1,2,4,6,9,10\}$
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Question 231 Mark
Let U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} be the universal set and let A = \{2, 3, 4, 5, 6\} and B = (3, 5, 7, 8) be its subsets.Find : $A ^{\prime}$
Answer
$A ^{\prime}=\{1,7,8,9,10\}$
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Question 241 Mark
Let A = {b, d, e, f}, B = {c, d, g, h) and C = {e, f, g, h). Find : $( B - C ) \cup( C - B )$
Answer
$( B - C ) \cup( C - B )=\{c, d, e, f\}$
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Question 251 Mark
Let A = {b, d, e, f}, B = {c, d, g, h) and C = {e, f, g, h). Find : $( A - B ) \cup( B - A )$
Answer
$( A - B ) \cup( B - A )=\{b, c, e, f, g, h\}$
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Question 291 Mark
Let $A =\{x: x$ is a multiple of $2, x<15\}$,
$B =\{x: x$ is a multiple of $3, x<20\}$,
$C =\{x: x$ is a prime, $x<20\}$.
Write each one of the sets A, B, C in Roster form.
Answer
$A =\{2,4,6,8,10,12,14\}, B =\{3,6,9,12,15,18\}, C =\{2,3,5,7,11,13,17,19\}$
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Question 301 Mark
Let A = {a, b, c), B = {b, d, e) and C = {e, f, g), verify that : $( A \cap B ) \cap C = A \cap( B \cap C )$
Answer
self
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Question 321 Mark
Let A = {a, b, c), B = {b, d, e) and C = {e, f, g), verify that : $( A \cup B ) \cup C = A \cup( B \cup C )$
Answer
self
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Question 341 Mark
Let P = {x: x is a factor of 18) and Q = (x: x is a factor of 24) :
Write each one of P and Q in Roster form.
Answer
\[P=\{1,2,3,6,9,18\}, Q=\{1,2,3,4,6,8,12,24\}\]
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Question 351 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $B \cap C$
Answer
$B \cap C =\{8,10\}$
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Question 361 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $A \cap C$
Answer
$A \cap C =\{8\}$
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Question 371 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $A \cap B$
Answer
$A \cap B =\{6,8\}$
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Question 381 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $B \cup C$
Answer
$B \cup C =\{6,7,8,9,10,12\}$
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Question 391 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $A \cup C$
Answer
$A \cup C =\{2,4,6,7,8,9,10\}$
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Question 401 Mark
Let A = \{2, 4, 6, 8\} B = \{6, 8, 10, 12\} and C = \{7, 8, 9, 10\} Find : $A \cup B$
Answer
$A \cup B =\{2,4,6,8,10,12\}$
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Question 451 Mark
Write down: All proper subsets of C .
Answer
$\phi,\{ P \},\{ A \},\{ Y \},\{ P , A \},\{ P , Y \},\{ A , Y \}$
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Question 461 Mark
Write down: All subsets of C .
Answer
$\phi,\{ P \},\{ A \},\{ Y \},\{ P , A \},\{ P , Y \},\{ A , Y \},\{ P , A , Y \}$
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Question 481 Mark
Write down all possible proper subset of the set given below : $\{1,2,3,4\}$
Answer
$\phi,\{1\},\{2\},\{3\},\{4\},\{1,2\},\{1,3\},\{1,4\},\{2,3\},\{2,4\},\{3,4\},\{1,2,3\},\{1,2,4\}$,$\{1,3,4\},\{2,3,4\}$
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Question 491 Mark
Write down all possible proper subset of the set given below : $\{m, n, p\}$
Answer
$\phi,\{m\},\{n\},\{p\},\{m, n\},\{m, p\},\{n, p\}$
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