Union

Q.

In a committee 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is

1. 60

2. 40

3. 38

4. 58

Q.

Let $F_1$ be the set of all parallelograms, $F_2$ the set of rectangles, $F_3$ the set of rhombuses, $F_4$ the set of squares and $F_5$ the set of trapeziums in a plane, then $F_1$ is equal to

1. 

2. 

3. 

4. 

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 = {5, 6, 7, 8} B = {7, 8, 9, 11}

A ∪ B =

1. {5, 6, 7, 8, 9, 11}

2. {9, 11}

3. {5, 6, 7, 8}

4. {5, 6, 7, 8, 9, 10, 11}

Q.

If A = {x: x is a natural number}

B = {x: x is even natural number}

C = {x: x is prime number}

Then (A ∪ B)∩ C =

1. A

2. A ∩ B

3. B

4. C

Q.

Suppose $A_1,A_2,.....................A_{3}0$ are thirty sets each having 5 elements and $B_1,B_2,................B_n$ are n sets each with 3 elements, let $\bigcup _{i=1}^{30}$$A_i$=$\bigcup _{j=1}^n$$B_j=S$ and each element of S belongs to exactly 10 of $A_i$'S and exactly 9 of the $B_j$'S. Then $n$ is equal to

1. 15

2. 45

3. 3

4. 50

Q.

In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car and bus. Then the percentage of population travelling by car or bus is

1. 70 percent

2. 80 percent

3. 60 percent

4. 40 percent

Q.

Let A = { x : x ∈ R, |x| < 1}; B = {x : x ∈ R, |x-1| ≥ 1} and

A ∪ B = R - D, then the set D is

1. None of these

2. 

3. 

4. 

Q.

If X = {$4^n$ - 3n - 1 : n ∈ N} and Y = { 9(n-1) : n ∈ N}, then X ∪ Y is equal to

1. Y

2. N

3. X

4. None of these

Q. For any two sets A and B,
$n\left(A\cup B\right)\ge n\left(A\right)+n\left(B\right)$
where, n(P) represents the number of elements in set P.

1. False
2. True