Dependent Events

Q.

If X is 80% of Y, what percent of X is Y?

1. 137.5

2. None of these

3. 250

4. 125

5. 62.5

Q.

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

1. 10%

2. 10.08%

3. 20%

4. None of these

5. 28%

Q.

A student has to obtain 30% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks that can be obtained is _____.

1. 1200

2. 400

3. 600

4. 800

5. None of these

Q.

Box A contains 2 black and 3 red balls, while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box, then the probability that it has come from box B is

1. $\frac{21}{41}$

2. $\frac{10}{31}$

3. $\frac{12}{31}$

4. $\frac{13}{41}$

Q.

In a certain school, 20% of students are below 8 years of age. If the number of students whose ages are equal to or greater than 8 years of age is 96, what is the total number of students in the school?

1. 300

2. 200

3. 500

4. 600

5. 400

Q.

If 25% of $x$ is equal to 40% of $y$, then 20% of $x$ is equal to what percent of $y$?

1. 8%

2. 16%

3. 48%

4. 32%

5. None of these

Q. Out of five girls and three boys, four children are to be randomly selected for a quiz contest. What is the probability that all the selected children are girls?

1. 
2. 
3. 
4. 
5. None of these

Q.

Approximately what is the maximum difference between the percentage of total marks obtained by any two students?

1. 12

2. 17

3. 14

4. 15

5. 10

Q. $350\%of?÷50+248=591$

1. 4890
2. 4806
3. None of these
4. 4950
5. 4850

Q.

In a race where 12 cars are running, the chance that car A will win is $\frac{1}{8}$, that B will win is $\frac{1}{10}$ and that C will win is $\frac{1}{6}$. Find the chance that one of them will win.

1. 1/10

2. 1/8

3. 1/6

4. 47/120

5. None of these

Q.

The Student Council at Woodlands Middle School is planning a field trip.

They polled randomly selected teachers and students and asked whether they prefer to go to the aquarium or an amusement park.

The results are shown in the table below.
Complete the following sentences.
$1)$? % of students prefer to go to the aquarium.

$2)$ ? % of teachers prefer to go to the aquarium.

	Aquarium	Amusement Park	Total
Students	8	32	40
Teachers	5	5	10
Total	13	37	50

Q.

If increasing 20 by P percentage gives the same result as decreasing 60 by P percentage, what percentage is P of 100?

1. 20

2. 40

3. 50

4. 60

Q.

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 96. What is the total number of students in the school?

1. 300

2. 200

3. 500

4. 600

Q. If a number is substracted by two third of 75% of 600, the value so obtained is 120. What is the number ?

1. 180
2. 120
3. 160
4. 240
5. None of these

Q. $60\%of(x+173.5+157.5)=21\times 12$

1. 83
2. 109
3. 89
4. 79
5. 99

Q.

In a class of 31 students. 15 of the students study History, 12 of the students study Geography, 7 study both History and Geography.How many students study neither History nor Geography?

1. 11

2. 9

3. 8

4. 7

Q. What is the approximate integral percentage of marks obtained by Umesh in all the subjects?

1. $77\%$
2. $80\%$
3. $84\%$
4. $86\%$
5. $78\%$

Q.

A student has to obtain 30% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are

1. 1200

2. 600

3. 800

4. None of these

Q.

What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute?

1. 65%

2. 70%

3. 75%

4. 35%

5. None of these

Q.

Subtracting 12% from an amount $y$ is equivalent to multiplying $y$ with _____.

1. 1.76

2. 0.88

3. 0.44

4. 0.22

5. None of these

Q.

25.675% of 1321 + 64.328% of 4001=

1. 3016
2. 2912
3. 3126
4. 3254
5. 3348

Q.

What is the difference between the percentage of marks obtained by student ‘E’ in Chemistry and Maths together and the percentage of marks obtained by student ‘A’ in Social Studies and English together?

1. 6

2. 8

3. 12

4. 14

5. None of these

Q. If 30% of the employees in the Research department are female, then how many male employees are there in the Research department?

1. 1232
2. None of these
3. 1323
4. 1242
5. 1343

Q. By what percentage the marks obtained by Amit in Science is less than in Maths?

1. 21
2. 24
3. 22
4. 15
5. 18

Q.

The total number of candidates who appeared for CS and ES together in 2011 were 25% more than the total number of candidates who appeared for the same together in 2010. How many female candidates appeared for both the exams together in 2011, if they formed $\frac{2}{5}th$ of the total number of candidates appearing for both CS and ES that year?

1. 52000
2. 58000
3. 60000
4. 62000
5. 64000

Q. Answer the following questions based on the information given below:

The bar chart below shows the revenue received, in million U.S.Dollars (USD), from subscribes to a particular Internet service. The data covers the period 2003 to 2007 for the United States(US) and Europe. The bar chart also shows the estimated revenues from subscription to the period 2008 to 2010.

Consider the annual percent change in the gap between subscription revenues in the US and Europe. In which year is the absolute value of this change the highest?

1. 08-09
2. 06-07
3. 05-06
4. 09-10
5. 03-04

Q.

Based on the information given below, answer the questions that follow.

Percentage of professors and Assistant Professors together teaching six different subjects in University ‘X’

Total number = 150

Percentage of Professors teaching six different subjects in University ‘X’

Total number = 50

What percent of Professors are teaching Psychology and Sociology together out of the total number of Professors and Assistant Professors teaching these two subjects together?

1. 

2. 

3. 

4. 

5. 

Q. Answer the following questions based on the information given below:

The bar chart below shows the revenue received, in million U.S.Dollars (USD), from subscribes to a particular Internet service. The data covers the period 2003 to 2007 for the United States(US) and Europe. The bar chart also shows the estimated revenues from subscription to the period 2008 to 2010.

The difference between the estimated subscription in Europe in 2008 and what it would have been if it were computed using the percentage growth rate of 2007 (over 2006), is closest to:

1. 0
2. 80
3. 50
4. 20
5. 10

Q.

Amber has a bag of $24$ marbles. $7$ marbles are red, $5$ marbles are blue, and the rest are pink. James takes out two marbles without replacing them. What is the probability that they are both blue?

1. $\frac{5}{24}$

2. $\frac{5}{138}$

3. $\frac{5}{144}$

4. $\frac{25}{576}$

Q. Arpit and Rita will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Arpit and Rita have an equal chance of choosing any one of the hand signs, what is the probability that Arpit will win?

1. 
2. 
3. 
4.