Venn Diagram

Q.

If U = {1, 2, 3, 4, 5}, A = {2, 3, 4}, B = {1, 4, 5}, then which of the following statements are true?

1. B – A = A’

2. $(A\cup B{)}^{\prime }=$

3. $AUB\supset B$

4. All of the above

Q.

In a group of 70 people, 37 like coffee, 52 like tea and each person like at least one of the two drinks. The number of persons liking both coffee and tea is ___.

1. 13

2. 16

3. 19

4. 20

Q.

If $A=\left\{\text{Isosceles triangles}\right\}$ and $B=\left\{\text{Isosceles right-angled triangles}\right\},$ then which of the following statements is/are true?

1. $A\subseteq B$

2. $B\subseteq A$

3. $A\cup B=A$

4. $A\cap B=B$

Q.

In a school, all students play either football or cricket or both. If 250 play football, 300 play cricket and 120 play both the games, then the number of students who play cricket only are ___.

1. 180

2. 150

3. 120

4. 130

Q.

In a battle 70% of the combatants lost eye, 80% an ear, 75% an arm, 85% a leg, x% lost all of four limbs. The minimum value of x is

1. 10

2. 12

3. 15

4. 11

Q.

In a class of 30 students, 18 students play cricket, 15 students play football 12 play both the games. How many students in the class don't play both the games?

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Q. Let U be the universal set and $A\cup B\cup C=U$. Then $\left\{\right(A-B)\cup (B-C)\cup (C-A){\}}^{\prime }$ is equal to

1. $A\cup B\cup C$
2. $A\cup (B\cap C)$
3. $A\cap B\cap C$
4. $A\cap (B\cup C)$

Q.

If A, B and C are three sets such that $A\cap B=A\cap CandA\cup B=A\cup C$, then

1. A = C

2. B = C

3. $A\cap B=\varphi$

4. A = B

Q.

In a team of 11, seven are batsmen, six are bowlers and one of them is a wicket keeper-batsman. How many of them are all-rounders (both batting and balling)?

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Q.

There was a survey in a city about number of people reading newspaper A, B and C. There are 42% of people read newspaper A; 51% of people read newspaper B and 68% of people read paper C. 30% of people read both newspaper A and B. 28% reads B and C and 36% read C and A. 8% do not read any newspaper. Find the percentage of people who read all the three newspapers.

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