Union of Sets

Q.

In a city 20% of the population travel by car, 50% travel by bus and 10% travel by both car and bus. The percentage of the population traveling by car or bus is ____.

1. 60 percent

2. 70 percent

3. 80 percent

4. 40 percent

Q.

If $X=\left\{4^n-3n-1:nbelongstoN\right\}$ and $Y=\left\{9(n-1):nbelongstoN\right\}$, where $N$ is the set of natural numbers, then $X\cup Y$ is equal to:

1. $N$

2. $Y-X$

3. $X$

4. $Y$

Q.

A towns population increased by $1200$ people and then this new population decreased $11\%$. The town now had $32$ less people that it did before the $1200$ increase. Find the original population.

Q. A's income is 40% less that of B' s.How much percent isB's income more than that of A's income?

Q.

In the city, 50% people read newspaper A, 45% read newspaper B, and 25% read neither A nor B. What percentage of people read both the newspaper A as well as B

Q.

A man bought a certain number of oranges, out of which 13 percent were found rotten. He gave 75 percent of the remaining in charity and still has 522 oranges left. Find how many had he bought?

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.

If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, then A - B = ?

1. {1, 3, 5}

2. {3, 5}

3. {1, 5}

4. {1, 3}

Q. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C.

1. {1, 2, 3, 4, 5, 6, 7, 8}
2. {1, 3, 4, 5, 6, 7, 8}
3. {1, 2, 3, 4, 5, 6, 7}
4. {1, 2, 3, 4, 5, 7, 8}

Q. If krish's height is 25%less than vidya height, then the vidya's height is what percent more than krish's height?

Q.

Question: 1)Using appropriate properties find
1), -2/3*3/5+5/2-3/5*1/6
2)2/5*[-3/7 ]- 1/6*3/2+1/14*2/5

-PLEASE EXPLAIN THROUGH A VIDEO

Q.

In an objective type paper of 150 questions , John got 80% correct answers and Mohan got 64% correct answers . What percent is Mohan's correct answers to John's correct answers ?

Q.

Hari reads 22% of the pages of a book on the first day, 53% on the second day and 15% on the third day. If the number of pages remaining to be read is 30, find the total number of pages in the book.

Q.

The adjoining arrow diagram represents a relation R from set A to set B. Identify the correct statement

1. Domain of R = {1, 2, 3}

2. Range of R = {x, y, z}

3. R = {(1, x), (2, x), (3, x), (2, y)}

4. Co-domain of R = {x, y}

Q.

A mixture is obtained by mixing 12 kg of wheat with 18 kg of rice. Find the percentage of rice in the mixture.

1. 70%

2. 60%

3. 40%

4. 50%

Q. Which of the following multiplier will cause a number to be increased by 25.3%? Option: (1) 12.53 (2) 125.3 (3) 1.253 (4) 1253

Q.

If set A and set B have 3 and 6 elements respectively, then which of the following can be the minimum number of elements in $(A\cup B)$?

1. 9

2. 18

3. 6

4. 3

Q.

The value of 44% of 650 km is:

1. 236 cm

2. 286 km

3. 143 km

4. 246 km

Q.

If 60% people in city like cricket, 30% like football and the remaining like other games, then what percent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.

Q.

Using the given diagram, express the following sets in the terms of A and B.

(i) {a, d}

(ii) (a, d, c, f)

(iii) {a, d, c, f, g, h}

(iv) {a, d, g, h}

(v) {g, h}

Q.

From the given diagram, find :

$\left(i\right)A^{\prime }\left(ii\right)B^{\prime }\left(iii\right)A^{\prime }\cup B^{\prime }\left(iv\right)(A\cap B{)}^{\prime }$

$\text{Is}{A}^{\prime }\cup B^{\prime }=(A\cup B{)}^{\prime }?\text{Also, verify if}{A}^{\prime }\cap B^{\prime }=(A\cup B{)}^{\prime }.$

Q.

Write the given sentence in set language using the proper symbols $\in$‘ or ’$\notin$

$2$ is a member of the set of first five counting numbers.

Q.

If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Q. If chameli had 600 left after spending 75% of her money how much did she have in the beginning

Q.

In a city 20% of the population travel by car, 50% travel by bus and 10% travel by both car and bus. The percentage of the population traveling by car or bus is ____.

1. 40%

2. 70%

3. 60%

4. 80%

Q. If $X=\{4^n-3n-1:n\in N\}$ and
$Y=\left\{9\right(n-1):n\in N\},$ then $X\cup Y$ is equal to

1. $Y$
2. $N$
3. $Noneofthese$
4. $X$

Q. A relation from P to Q is

1. $P\times Q$
2. An equivalent set of $P\times Q$
3. A universal set of $P\times Q$
4. A subset of $P\times Q$

Q.

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

B = {x: x is an even natural number}

C = {x: x is a prime number}

Then (A $\cup$ B) $\cap$ C =

1. A

2. A B

3. B

4. C

Q. The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. Find the bacteria at the end of 3 hours if the count was initially 20000.

Q. A relation from P to Q is

1. An equivalent set of $P\times Q$
2. $P\times Q$
3. A universal set of $P\times Q$
4. A subset of $P\times Q$