CAT Exam  >  CAT Questions  >  Directions: Read the information carefully to... Start Learning for Free
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 director's 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?
  • a)
    44
  • b)
    42
  • c)
    41
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the information carefully to answer the question that...

Analysis:
- Let's analyze the given information to find the number of employees who voted for only one contestant.

Given Information:
1. The difference between employees who voted only for Raja and those 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, the result is 20.
4. The number of employees who voted for both Deepak and Uday was 33, and those who voted for Uday but not for Raja was 12 more than those 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 for at least two contestants.

Solution:
- Let's denote the number of employees who voted for only Raja, Deepak, and Uday as R, D, and U respectively.
- From point 1, R = D - U
- From point 2, R + D + U - 2(28) - 19 = 0
- From point 3, D - R = 20
- From point 4, D + U - 2(19) = 33, U - R = 19 + 12
- From point 5, D = R + U

- Solving the above equations, we get R = 22, D = 42, U = 19

Answer:
- The number of employees who voted for only one contestant is R (Raja) which is 22.
- Thus, the answer is 22 employees voted for only one contestant.
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.
Explore Courses for CAT exam

Similar CAT Doubts

Directions: Read the information given below and answer the question that follows.Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copie d).It is also known that:(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.Q.If the positions in which the contestants are sitting are represented as 1 to 5, from first to last, for how many contestants is their position the same as the number of the puzzle for which they copied the answer? Correct answer is '0'. Can you explain this answer?

Directions: Read the information given below and answer the question that follows.Five contestants, Danny, Elizabeth, Ashok, Ramesh and Franklin, entered in a puzzle show which had four puzzles – First puzzle, Second puzzle, Third puzzle and Fourth puzzle. Each puzzle had three checkboxes, Checkbox-1, Checkbox-2 and Checkbox-3, and each contestant had to choose one of the three checkboxes as his/her answer for each. The five contestants were sitting in a line, one behind the other, facing the same direction, not necessarily in the same order as mentioned above. During the show, except for the contestant sitting at the beginning of the line, each contestant copied the answer to exactly one puzzle from the contestant immediately in front of him. Further, for any pair of contestants sitting immediately next to each other, exactly one answer was the same (i.e. the answer that was copie d).It is also known that:(i) The contestant sitting at the last position, who was not Ashok, marked the answer as Checkbox-2 for Second puzzle and Franklin, who was not at the last position, did not mark the answer to Third puzzle as Checkbox-2.(ii) Exactly two contestants marked the answer as Checkbox-2 for First puzzle and neither of the two was sitting at any of the ends.(iii) Danny, who was sitting immediately in front of Ashok, marked the answer as Checkbox-3 for exactly two puzzles, while Ramesh marked the answer as Checkbox-3 only for First puzzle.(iv) Each of the four contestants who copied the answer did so for a different puzzle and each contestant marked the answer as Checkbox-1 for at least one puzzle, as Checkbox-2 for at least one puzzle and as Checkbox-3 for at least one puzzle.(v) The contestant sitting in the middle marked the answer to Second puzzle as Checkbox-3, which he did not copy.(vi) The contestant sitting at the second position, who was not Ashok, marked the answer as Checkbox-2 for Third puzzle, which he copied.Q.For which of the following puzzles did both Ashok and the contestant sitting at the first position mark Checkbox-3 as their answer?

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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
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?a)44b)42c)41d)None of theseCorrect 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 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?a)44b)42c)41d)None of theseCorrect 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 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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for 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?a)44b)42c)41d)None of theseCorrect 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 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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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?a)44b)42c)41d)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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?a)44b)42c)41d)None of theseCorrect 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
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