In a class of 45 pupils, 21 play chess, 23 play cards and 5 play both the games. Find : how many play cards only.
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172 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
172
Questions
6
Question groups
5
Question types
01
[1 Mark Question Answer]
120 Q→02[2 Mark Question Answer]
14 Q→03[3 marks sum]
2 Q→04[4 marks sum]
3 Q→05TRUE / FALSE
28 Q→06Fill in the blanks.
5 Q→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.
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In a class of 45 pupils, 21 play chess, 23 play cards and 5 play both the games. Find : how many play chess only;
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;
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.
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;
In a group of 40 persons, 10 drink tea but not coffee and 26 drink tea. How many drink coffee but not tea?
In a group of 24 children, each one plays cricket or hockey or both. If 16 play cricket and 12 play cricket only, find how many play hockey only.
In a group of 36 girls, each one can either stitch or weave or can do both. If 25 girls can stitch and 17 can stitch only, how many can weave only?
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 both the games;
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 English only?
How many can speak English only?
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 Tamil only?
How many can speak Tamil only?
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, $x<20\}$.
Find:
(a) $A \cup B$ (b) $A \cup C$ (c) $B \cup C$ (d) $A \cap B$ (e) $A \cap C$ (f) $B \cap C$
View full solution →$B =\{x: x$ is a multiple of $3, x<20\}$,
$C =\{x: x$ is a prime, $x<20\}$.
Find:
(a) $A \cup B$ (b) $A \cup C$ (c) $B \cup C$ (d) $A \cap B$ (e) $A \cap C$ (f) $B \cap C$
In a class there are 27 students. Out of these 14 study Psychology and 19 study Geography. There are 11 students who study both Psychology and Geography.
Q.1. How many students study Psychology but not Geography?
(a) 3 (b) 4 (c) 5 (d) 6
Q.2. How many students study Geography but not Psychology?
(a) 7 (b) 8 (c) 9 (d) 11
Q.3. How many students study neither Psychology nor Geography?
(a) 8 (b) 7 (c) 6 (d) 5
Q.4. What is the difference between the number of students who study Psychology only and those who study Geography only?
(a) (b) 5 (c) 6 (d) 7
Q.1. How many students study Psychology but not Geography?
(a) 3 (b) 4 (c) 5 (d) 6
Q.2. How many students study Geography but not Psychology?
(a) 7 (b) 8 (c) 9 (d) 11
Q.3. How many students study neither Psychology nor Geography?
(a) 8 (b) 7 (c) 6 (d) 5
Q.4. What is the difference between the number of students who study Psychology only and those who study Geography only?
(a) (b) 5 (c) 6 (d) 7
Let $\mathrm{U}=\{1,2,3,4,5,6,7,8,9,10\}$ be the universal set and let $A=\{2,3,4,5,6\}$ and $B=\{3,5,7,8\}$ be its subsets.
Find: (i) $\mathrm{A}^{\prime}$ (ii) $\mathrm{B}^{\prime}$ (iii) $\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}$ (iv) $\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}$
Verify that: (v) $(\mathrm{A} \cup \mathrm{B})^{\prime}=\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)$, (vi) $(\mathrm{A} \cap \mathrm{B})^{\prime}=\left(\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}\right)$
View full solution →Find: (i) $\mathrm{A}^{\prime}$ (ii) $\mathrm{B}^{\prime}$ (iii) $\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}$ (iv) $\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}$
Verify that: (v) $(\mathrm{A} \cup \mathrm{B})^{\prime}=\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)$, (vi) $(\mathrm{A} \cap \mathrm{B})^{\prime}=\left(\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}\right)$
If two sets A and B are disjoint, then $n(A \cup B )=n(A)+n(B)$ _________.
View full solution →If $n(A \cap B )=\phi$, then $n(B- A )=n(B)$ _________.
View full solution →The complement of a set is a subset of $U$ _________.
View full solution →Any set A and its complement are equivalent sets ________.
The number of proper subsets of a set containing $n$ elements is $2^n$ ________.
View full solution →$n(A \cup B )+n(A \cap B )=$________.
View full solution →Two finite sets having the same number of elements are said to be _________.
If $A \subseteq X$, then X is called a _________ of A.
View full solution →A void set is usually denoted by __________.
In a __________ form, we list the properties satisfied by each element of the set.
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