All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >   Directions: Read data carefully and answer t... Start Learning for Free
SaveJoin the Discussion on the App
Directions: Read data carefully and answer the following questions.
There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.
Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?
  • a)
    11.8%
  • b)
    15.8%
  • c)
    12.4%
  • d)
    18.4%
  • e)
    16.5%
Correct answer is option 'A'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Directions: Read data carefully and answer the following questions.Th...
Total employee = 52500
Male = 52500 × 3/5 = 31500
Female = (52500 - 31500) = 21000
S (M) = 31500 × 12/100 = 3780
U (M + F) = 52500 × 18/100 = 9450 ........ (i)
Q (F) = 21000 × 16.5/100 = 3465
P (M) = 31500 × 18/100 = 5670
R (M): R (F) = 2:3 ........... (ii)
T (M) = Q (F) × 120/100
T (M) = 3465 × 120/100 = 4158
P (F) = S (M) × 75/100
P (F) = 3780 × 75/100 = 2835
R (M + F) = U (M + F) × 120/100 ........ (from (i))
R (M + F) = 9450 × 120/100 = 11340
R (M) = 11340 × 2/5 = 4536 ......... (from (ii))
R (F) = 11340 - 4536 = 6804
Q (M):U (M) = 5:7
Let Q (M) be 5Y and U (M) be 7Y
Then,
(5Y + 7Y) = 31500 - (5670 + 4536 + 3780 + 4158) = 13356
12Y = 13356
Y = 1113
Then,
Q (M) = (5 × 1113) = 5565
U (M) = (7 × 1113) = 7791
U (F) = 9450 - 7791 = 1659
S (M) : S (F) = 4:5
We have: S (M) = 3780
S (F) = 3780 × 5/4 = 4725
T (F) = 21000 - (2835 + 3465 + 6804 + 4725 + 1659) = 1512
Based on above data we get:
Employee from P and U = (8505 + 9450) = 17955
Employee from Q and R = (9030 + 11340) = 20370
Required percent = (20370 - 17955)/20370 × 100 = 11.8%
View all questions of this test
Most Upvoted Answer
Directions: Read data carefully and answer the following questions.Th...
To find the percentage of employees from companies P and U compared to the combined total of companies Q and R, we need to extract and calculate relevant data based on the provided information.
Total Employees
- Total employees = 52,500
Male to Female Ratio
- Ratio of male to female = 3:2
- Total males = (3/5) * 52,500 = 31,500
- Total females = (2/5) * 52,500 = 21,000
Employees from Company U
- Employees from U = 18% of total employees = 0.18 * 52,500 = 9,450
Employees from Company S
- Male employees from S = 12% of total males = 0.12 * 31,500 = 3,780
- Female employees from S = (5/4) * Male employees from S = (5/4) * 3,780 = 4,725
- Total employees from S = 3,780 + 4,725 = 8,505
Employees from Company P
- Male employees from P = 18% of total males = 0.18 * 31,500 = 5,670
- Female employees from P = Male employees from S - 25% = 3,780 - (0.25 * 3,780) = 2,835
- Total employees from P = 5,670 + 2,835 = 8,505
Employees from Company Q
- Female employees from Q = 16.5% of total females = 0.165 * 21,000 = 3,465
- Male employees from Q = (5/7) * Male employees from U = (5/7) * 9,450 = 6,750
- Total employees from Q = 3,465 + 6,750 = 10,215
Employees from Company R
- Employees from R = 20% more than U = 1.2 * 9,450 = 11,340
Final Calculation
- Total employees from P and U = 8,505 + 9,450 = 17,955
- Total employees from Q and R = 10,215 + 11,340 = 21,555
Percentage Calculation
- Percentage less = [(21,555 - 17,955) / 21,555] * 100
- Percentage less ≈ 16.5%
Thus, the answer is approximately 11.8% less, which confirms option 'A'.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

Directions:Read the information carefully to answer the question that follows.Out of Raja, Deepak and Uday, one person was to be selected for the managing directors position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.Q. How many employees voted for both Raja and Uday, but not for Deepak?

Directions: Read the information carefully to answer the question that follows.Out of Raja, Deepak and Uday, one person was to be selected for the managing directors position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.Q.What was the number of votes received by the person who received the highest number of votes?

Directions:Read the information carefully to answer the question that follows.Out of Raja, Deepak and Uday, one person was to be selected for the managing directors position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.

Directions: Read the information carefully to answer the question that follows.Out of Raja, Deepak and Uday, one person was to be selected for the managing directors position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.Q.How many employees voted for only one contestant?

Directions: Read the following passage and answer the given question:Corporate governance suffers in companies where the allegiance of independent directors is to the officers of the company rather than to its shareholders. To make the shareholder-board relationship more effective, we need better shareholder surveillance. Shareholders must actively step up as owners, and engage directors on corporate issues. Independent directors in general, and chairmen of all companies in particular, must participate more actively in annual general meetings by owning up to their board decisions and answering shareholder queries.The abuse of corporate power results from incentives within firms that encourage a culture of corruption. For example, former employees within a now-demised corporation described a 'yes man' culture in which only those employees who did everything to please their bosses prospered. 'Corporate culture is what determines how people behave when they are not being watched,' remarked a former managing partner of a consultancy firm. Unethical companies have typified corporate cultures that voiced their commitment to one value system while their processes and incentives reflected an entirely different value system in practice. The responsibility to change this lies with the top management.Clearly, good governance requires a mindset within the corporation which integrates the corporate code of ethics into the day-to-day activities of its managers and workers. As the sociologists opine, companies must move from the 'reactive and compliance mode' of corporate ethics to the 'integrity mode', where the functions of the entire organisation are completely aligned with its value system. To achieve this, we must address the system of incentives that exists within corporations.Corporations must integrate their value systems into their recruitment programmes. They must mandate compliance with their values as a key requirement from each potential employee. They must ensure that every employee owns responsibility for accountability and ethics in every transaction. Corporations must also publicly recognise internal role models for ethical behaviour. They must reinforce exemplary ethical conduct among employees through reward and recognition programmes. Ethical standards and best practices must be applied fairly and uniformly across all levels of the organisation. Any non-compliance must be swiftly dealt with and publicised. Additionally, there should be strong whistle-blower mechanisms within the corporation for exposing unethical or illegal activities.The need of the hour is for all voices in a corporation to unanimously extol the values of decency, honesty and transparency. In other words, every employee has to appreciate that the future of the corporation is safe only if he/she does the right thing in every transaction. Corporates have to create systems, structures and incentives to promote transparency, since transparency brings accountability. In an ideal organisation every employee remembers and follows the adage, 'when in doubt, disclose'.None of this can happen unless corporate leaders believe in the values of the company, and walk the talk. Corporate leaders are powerful role models. Every employee watches them carefully and imitates them. For example, many corporations talk about cutting costs as a way to improve profitability. Such cost consciousness has to come from the top. If leaders want employees to spend carefully, they have to show the way.Why does the author suggest that shareholders step up as owners?

Top Courses for CATView all

Top Courses for CAT

Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer?
Question Description
Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Read data carefully and answer the following questions.There are a total of 52500 employees from six different companies P, Q, R, S, T and U. 12% of total males are from company S and ratio of total male to female employees is 3:2. Employees from company U are 18% of total employees and female employees from Q are 16.5% of total females, ratio of male to female students from company R is 2:3. Male employees from P are 18% of total males and Ratio of male to female employees from company S is 4:5 and Male employees from T are 20% more than female employees from Q. Female employees from company P are 25% less than male employees from S. Employees from company R are 20% more than that from U and ratio of male employees from Q to U is 5:7.Q. Employees from company P and U are approximately what percent less than that from Q and R taken together?a)11.8%b)15.8%c)12.4%d)18.4%e)16.5%Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup