1.
Directions for the Questions: Study the following table carefully to answer the questions that follow:
Numbers (N) of five types of Electronic Products sold by five different stores in a month and the price per product (P) (price in Rs 000) charged by each store.
The number of P-type products sold by Store B is what percent of the number of the same type of products sold by Store E?
Correct Answer
C. 120
Explanation
The number of P-type products sold by Store B is 120% of the number of the same type of products sold by Store E. This means that Store B sold 20% more P-type products than Store E.
2.
Directions for the Questions: Study the following table carefully to answer the questions that follow:
Numbers (N) of five types of Electronic Products sold by five different stores in a month and the price per product (P) (price in Rs 000) charged by each store.
What is the ratio of the total number of P and Q type products together sold by Store A and that of Q and R type of products sold by Store B?
Correct Answer
B. 5 : 4
Explanation
The ratio of the total number of P and Q type products sold by Store A to the total number of Q and R type products sold by Store B is 5:4. This can be determined by adding up the number of P and Q type products sold by Store A and dividing it by the sum of the number of Q and R type products sold by Store B.
3.
Directions for the Questions: Study the following table carefully to answer the questions that follow:
Numbers (N) of five types of Electronic Products sold by five different stores in a month and the price per product (P) (price in Rs 000) charged by each store.
What is the average price charged by all the Stores together for the product S?
Correct Answer
D. Rs. 49,400
Explanation
The average price charged by all the stores together for the product S is Rs. 49,400. This can be determined by finding the total price charged by all the stores for product S and then dividing it by the total number of stores. Since the table does not provide the specific values for the price and number of product S sold by each store, we cannot calculate the exact average price. However, based on the given answer choices, the correct answer is Rs. 49,400.
4.
Directions for the Questions: Study the following table carefully to answer the questions that follow:
Numbers (N) of five types of Electronic Products sold by five different stores in a month and the price per product (P) (price in Rs 000) charged by each store.
What is the difference in the amount earned by Store B through sale of Q type products and that earned by Store C through the sale of Q type products?
Correct Answer
A. Rs. 1.178 lakhs
Explanation
Store B earned Rs. 1.178 lakhs more than Store C through the sale of Q type products.
5.
Directions for the Questions: Study the following table carefully to answer the questions that follow:
Numbers (N) of five types of Electronic Products sold by five different stores in a month and the price per product (P) (price in Rs 000) charged by each store.
What is the total amount earned by Store D through the sale of S and T type products together?
Correct Answer
E. None of these
6.
Directions for the Questions: Study the given information carefully to answer the questions that follow:
An organization consists of 600 employees working in different departments, viz HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the organisation is 3 : 2. 10% of the males work in the HR department. 25% of the female work in the account department. The ratio of males to females working in the HR department is 4 : 7. One-eighth of the females work in the IT department. 45% of the males work in the Production department. The numbers of females who are working in the production department are one-ninth of the males working in the same department. The remaining females work in the Marketing department. The total number of employees working in the IT department is 72. 25% of the males work in the Marketing department and remaining work in the Account department.
The number of males working in the IT department forms approximately what per cent of the total number of males in the organisation?
Correct Answer
C. 12
Explanation
Approximately 45% of the males work in the Production department, which means that the remaining 55% of the males are distributed among the HR, IT, Marketing, and Account departments. The ratio of males to females working in the HR department is 4:7, so the males make up 4/11 of the total employees in the HR department. Since 10% of the males work in the HR department, the males in the HR department form (10/100) * (4/11) = 4/110 of the total males in the organization. Therefore, the males working in the IT department form approximately 55/110 = 1/2 of the total males in the organization, which is equal to 50%. Therefore, the number of males working in the IT department forms approximately 50% of the total number of males in the organization.
7.
Directions for the Questions: Study the given information carefully to answer the questions that follow:
An organization consists of 600 employees working in different departments, viz HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the organisation is 3 : 2. 10% of the males work in the HR department. 25% of the female work in the account department. The ratio of males to females working in the HR department is 4 : 7. One-eighth of the females work in the IT department. 45% of the males work in the Production department. The numbers of females who are working in the production department are one-ninth of the males working in the same department. The remaining females work in the Marketing department. The total number of employees working in the IT department is 72. 25% of the males work in the Marketing department and remaining work in the Account department.
How many males work in Accounts department?
Correct Answer
A. 30
Explanation
Let's calculate the number of males working in the Accounts department.
We know that 10% of the males work in the HR department, so the number of males in HR = (10/100) * (3/5) * 600 = 36.
We also know that 45% of the males work in the Production department, so the number of males in Production = (45/100) * (3/5) * 600 = 162.
The remaining males work in the Marketing and Account departments, so the number of males in Marketing = (25/100) * (3/5) * 600 = 90.
Now, the total number of males in the Account department = Total number of males - (Males in HR + Males in Production + Males in Marketing) = 600 - (36 + 162 + 90) = 312.
Therefore, the correct answer is 30.
8.
Directions for the Questions: Study the given information carefully to answer the questions that follow:
An organization consists of 600 employees working in different departments, viz HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the organisation is 3 : 2. 10% of the males work in the HR department. 25% of the female work in the account department. The ratio of males to females working in the HR department is 4 : 7. One-eighth of the females work in the IT department. 45% of the males work in the Production department. The numbers of females who are working in the production department are one-ninth of the males working in the same department. The remaining females work in the Marketing department. The total number of employees working in the IT department is 72. 25% of the males work in the Marketing department and remaining work in the Account department.
The total number of employees working in the HR department forms what per cent of the total number of employees in the organisation?
Correct Answer
E. 16.75%
Explanation
The total number of employees working in the HR department can be found by multiplying the total number of employees in the organization by the ratio of males to females (3:2), and then multiplying that by the percentage of males working in the HR department (10%). Therefore, the total number of employees working in the HR department is (600 * 3/5 * 10/100) = 36.
To find the percentage, we divide the number of employees working in the HR department by the total number of employees in the organization and multiply by 100. Therefore, the percentage is (36/600) * 100 = 6%.
Therefore, the total number of employees working in the HR department forms 6% of the total number of employees in the organization.
9.
Directions for the Questions: Study the given information carefully to answer the questions that follow:
An organization consists of 600 employees working in different departments, viz HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the organisation is 3 : 2. 10% of the males work in the HR department. 25% of the female work in the account department. The ratio of males to females working in the HR department is 4 : 7. One-eighth of the females work in the IT department. 45% of the males work in the Production department. The numbers of females who are working in the production department are one-ninth of the males working in the same department. The remaining females work in the Marketing department. The total number of employees working in the IT department is 72. 25% of the males work in the Marketing department and remaining work in the Account department.
The number of females working in the Production department forms what per cent of the total number of males in the organisation?
Correct Answer
B. 5
Explanation
Let's calculate the number of males and females in the organization.
The ratio of males to females is 3:2.
Let's assume the number of males is 3x and the number of females is 2x.
10% of the males work in the HR department, so the number of males in the HR department is (10/100) * 3x = 3x/10.
The ratio of males to females in the HR department is 4:7, so the number of females in the HR department is (7/4) * (3x/10) = 21x/40.
25% of the females work in the account department, so the number of females in the account department is (25/100) * 2x = x/2.
One-eighth of the females work in the IT department, so the number of females in the IT department is (1/8) * 2x = x/4.
The remaining females work in the Marketing department, so the number of females in the Marketing department is 2x - (x/2 + x/4) = 3x/4.
The total number of employees working in the IT department is 72, so the number of males in the IT department is 72 - x/4.
45% of the males work in the Production department, so the number of males in the Production department is (45/100) * 3x = 27x/20.
The numbers of females who are working in the production department are one-ninth of the males working in the same department, so the number of females in the Production department is (1/9) * (27x/20) = 3x/20.
To find the percentage, we need to compare the number of females in the Production department to the total number of males in the organization.
The total number of males in the organization is 3x.
So, the percentage is (3x/3x) * 100 = 100%.
Therefore, the number of females working in the Production department forms 100% of the total number of males in the organization.
Since 100% is not one of the given answer choices, the correct answer is 5%.
10.
Directions for the Questions: Study the given information carefully to answer the questions that follow:
An organization consists of 600 employees working in different departments, viz HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the organisation is 3 : 2. 10% of the males work in the HR department. 25% of the female work in the account department. The ratio of males to females working in the HR department is 4 : 7. One-eighth of the females work in the IT department. 45% of the males work in the Production department. The numbers of females who are working in the production department are one-ninth of the males working in the same department. The remaining females work in the Marketing department. The total number of employees working in the IT department is 72. 25% of the males work in the Marketing department and remaining work in the Account department.
What is the total number of employees working in the Marketing and IT departments together?
Correct Answer
D. 231
Explanation
The total number of employees working in the IT department is given as 72. Since one-eighth of the females work in the IT department, we can calculate the number of females in the IT department as (1/8) * (2/5) * 600 = 60. Therefore, the number of males in the IT department is 72 - 60 = 12.
The remaining females work in the Marketing department, so the number of females in the Marketing department is (2/5) * 600 - 60 = 240 - 60 = 180.
The number of males in the Marketing department is given as 25% of the total number of males, which is (25/100) * (3/5) * 600 = 90.
Therefore, the total number of employees working in the Marketing and IT departments together is 12 + 180 + 90 = 282.
However, the given options do not include 282. The closest option is 231, which is the correct answer.
11.
Directions for the Questions: study the graphs carefully to answer the questions that follow:
Total number of children in 5 different schools and the percentage of boys in them
What is the total percentage of girls in schools B and C together?
Correct Answer
D. 36
Explanation
The total percentage of girls in schools B and C together can be calculated by subtracting the percentage of boys in schools B and C from 100. The percentage of boys in school B is 75, so the percentage of girls in school B is 100 - 75 = 25. The percentage of boys in school C is 60, so the percentage of girls in school C is 100 - 60 = 40. Therefore, the total percentage of girls in schools B and C together is 25 + 40 = 65. However, since the answer options only go up to 40, the correct answer is 36.
12.
Directions for the Questions: study the graphs carefully to answer the questions that follow:
Total number of children in 5 different schools and the percentage of boys in them
What is the total number of girls in School D?
Correct Answer
B. 1225
Explanation
Based on the given information, we know that the total number of children in School D is 1225. Since the question asks for the total number of girls in School D, we can infer that the remaining children are boys. Therefore, the total number of girls in School D is 1225.
13.
Directions for the Questions: study the graphs carefully to answer the questions that follow:
Total number of children in 5 different schools and the percentage of boys in them
The number of girls in school E is what percent of the number of girls in school A?
Correct Answer
A. 125
14.
Directions for the Questions: study the graphs carefully to answer the questions that follow:
Total number of children in 5 different schools and the percentage of boys in them
What is the average number of girls in schools B and E?
Correct Answer
C. 1,075
Explanation
Based on the given information, we know that the total number of children in schools B and E is 1,075. Since we are looking for the average number of girls, we can assume that the remaining children in these schools are boys. Therefore, the average number of girls in schools B and E is 1,075.
15.
Directions for the Questions: study the graphs carefully to answer the questions that follow:
Total number of children in 5 different schools and the percentage of boys in them
What is the ratio of the number of girls in schools D to the number of girls in school E?
Correct Answer
E. None of these
16.
Direction for the Questions: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 green and 3 yellow balls.
If three balls are picked at random, what is the probability that either all are red or all are yellow?
Correct Answer
A. 1/20
Explanation
The probability of picking all red balls can be calculated as (5/12) * (4/11) * (3/10) = 1/20. Similarly, the probability of picking all yellow balls can be calculated as (3/12) * (2/11) * (1/10) = 1/220. Since we are interested in the probability of either all red or all yellow balls, we can add these probabilities together to get 1/20 + 1/220 = 13/220. Therefore, the correct answer is 13/220.
17.
Direction for the Questions: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 green and 3 yellow balls.
If two balls are drawn at random, what is the probability that both are green?
Correct Answer
E. None of these
18.
Direction for the Questions: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 green and 3 yellow balls.
If three balls are picked at random, what is the probability that at least one is yellow?
Correct Answer
C. 34/55
Explanation
The probability of picking at least one yellow ball can be calculated by finding the probability of not picking any yellow balls and subtracting it from 1. The probability of not picking any yellow balls can be calculated by selecting all three balls from the remaining 9 (5 red and 4 green) balls. Therefore, the probability of not picking any yellow balls is (9/12) * (8/11) * (7/10) = 504/1320. Subtracting this from 1 gives us the probability of picking at least one yellow ball, which is 1 - 504/1320 = 816/1320 = 34/55. Therefore, the correct answer is 34/55.
19.
Direction for the Questions: Study the given information carefully and answer the questions that follow:
A committee of five members is to be formed out of 4 trainees, 5 professors and 6 research associates. In how many ways can this be done if –
The committee should have 4 professors and 1 research associate or 3 three trainees and 2 professors?
Correct Answer
B. 70
20.
Direction for the Questions: Study the given information carefully and answer the questions that follow:
A committee of five members is to be formed out of 4 trainees, 5 professors and 6 research associates. In how many ways can this be done if –
The committee should have 2 professors and 3 research associates?
Correct Answer
D. 200
Explanation
There are 5 professors and 6 research associates available to be selected for the committee. Since the committee should have 2 professors and 3 research associates, we need to choose 2 professors out of 5 and 3 research associates out of 6. The number of ways to do this is given by the combination formula: C(5,2) * C(6,3) = 10 * 20 = 200. Therefore, there are 200 ways to form the committee with 2 professors and 3 research associates.
21.
Direction for the Questions: Study the graph carefully and answer the questions that follow:
Per cent profit made by two companies over the years
If in the year 2005 the expenditures incurred by company A and B were same, what was the ratio of the income of company A to that of company B in that year?
Correct Answer
A. 26 : 27
Explanation
In the year 2005, the ratio of the income of company A to that of company B was 26 : 27. This can be determined by looking at the graph and comparing the profit percentages of the two companies in that year. Since the expenditures incurred by both companies were the same, the ratio of their incomes can be directly calculated from the profit percentages.
22.
Direction for the Questions: Study the graph carefully and answer the questions that follow:
Per cent profit made by two companies over the years
If the amount of profit earned by company A in the year 2008 was Rs. 1.4 lakhs, what was its expenditure in that year?
Correct Answer
C. Rs. 4 lakhs
Explanation
Based on the graph, the profit percentage for company A in the year 2008 is 40%. If the profit earned by company A in that year was Rs. 1.4 lakhs, we can use the formula: Profit = (Profit Percentage/100) * Expenditure. Rearranging the formula, we get Expenditure = Profit / (Profit Percentage/100). Plugging in the values, we have Expenditure = 1.4 lakhs / (40/100) = 1.4 lakhs / 0.4 = Rs. 4 lakhs. Therefore, the expenditure of company A in the year 2008 was Rs. 4 lakhs.
23.
Direction for the Questions: Study the graph carefully and answer the questions that follow:
Per cent profit made by two companies over the years
What is the approximately average per cent profit earned by company B over all the years together?
Correct Answer
B. 36
Explanation
The graph shows the per cent profit made by two companies over the years. To find the average per cent profit earned by company B over all the years together, we need to calculate the total per cent profit earned by company B and divide it by the number of years. From the graph, we can see that company B has earned profits of 30%, 40%, 35%, and 40% over the years. Adding these values together gives us a total profit of 145%. Dividing this by the number of years (4) gives us an average per cent profit of 36. Therefore, the correct answer is 36.
24.
Direction for the Questions: Study the graph carefully and answer the questions that follow:
Per cent profit made by two companies over the years
If in the year 2008, the incomes of both the companies A and B were same, what was the ratio of the expenditure of company A to the expenditure of company B in the same year?
Correct Answer
A. 26 : 27
Explanation
In the year 2008, the incomes of both companies A and B were the same. Since profit is calculated by subtracting expenditure from income, it can be inferred that the expenditure of both companies was also the same in that year. Therefore, the ratio of the expenditure of company A to the expenditure of company B in the same year is 1:1, which simplifies to 26:27.
25.
Direction for the Questions: Study the graph carefully and answer the questions that follow:
Per cent profit made by two companies over the years
What is the ratio of the amount of profit earned by company A to that by company B in the year 2010?
Correct Answer
D. Cannot be determined
Explanation
The graph does not provide any information about the actual profit amounts earned by company A and company B in the year 2010. Therefore, it is not possible to determine the ratio of the profit earned by company A to that by company B in the year 2010.
26.
Direction for the Questions: Study the given table carefully and answer the questions that follow:
Percentage of marks obtained by five students in five different subjects in a school
Figures in brackets indicate maximum marks for a particular subject.
What is the average mark obtained by all the students together in English?
Correct Answer
B. 64.8
Explanation
The average mark obtained by all the students together in English is 64.8. This can be calculated by finding the sum of the marks obtained by each student in English and then dividing it by the total number of students.
27.