CAT Exam > CAT Questions > A drama company needs 24 actors to be cast am...
Start Learning for Free
A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.
Statement I : The ratio of boys needed to girls is 2:1
Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1
- a)Statement I ALONE is sufficient, but statement II alone is not sufficient
- b)Statement II ALONE is sufficient, but statement I alone is not sufficient
- c)BOTH statements together are sufficient but NEITHER statement ALONE is sufficient
- d)BOTH statements TOGETHER are NOT sufficient
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A drama company needs 24 actors to be cast among boys, girls and adult...
Statement I alone is not sufficient to answer the question since it does not provide any information about adults. Statement II gives the ratio of the number of adults to the number of children needed. Since the total number of actors is known, statement II alone is sufficient to answer the question.
Most Upvoted Answer
A drama company needs 24 actors to be cast among boys, girls and adult...
To solve this problem, we need to determine how many adults are needed for the drama company. Let's analyze the statements given:
Statement I: The ratio of boys needed to girls is 2:1
Statement II: The ratio of children (boys and girls) needed to adults is 3:1
To solve this problem, we need to consider both statements together. Let's break down the problem step by step:
Step 1: Determine the total number of actors needed
Since the drama company needs 24 actors in total, we can express this as:
Boys + Girls + Adults = 24
Step 2: Use Statement I to determine the ratio of boys to girls
Statement I tells us that the ratio of boys to girls is 2:1. Let's assume the number of boys is 2x and the number of girls is x. Therefore, we can express this as:
2x + x + Adults = 24
Step 3: Use Statement II to determine the ratio of children to adults
Statement II tells us that the ratio of children to adults is 3:1. Since children include both boys and girls, we can express this as:
(2x + x) / Adults = 3/1
Simplifying this equation, we get:
3x / Adults = 3/1
x / Adults = 1/1
Step 4: Solve the equations
From Step 2, we have:
3x + Adults = 24
From Step 3, we have:
x = Adults
Substituting the value of x from Step 3 into the equation from Step 4, we get:
3(A) + A = 24
Simplifying this equation, we get:
4A = 24
A = 6
Therefore, we need 6 adults for the drama company.
Conclusion:
To solve the problem, we need both statements together. Statement I alone does not provide enough information to determine the number of adults needed, as it only gives us the ratio of boys to girls. Statement II alone also does not provide enough information, as it only gives us the ratio of children to adults. However, when we consider both statements together, we can solve the problem and determine that 6 adults are needed. Hence, the correct answer is option B: Statement II ALONE is sufficient, but statement I alone is not sufficient.
Statement I: The ratio of boys needed to girls is 2:1
Statement II: The ratio of children (boys and girls) needed to adults is 3:1
To solve this problem, we need to consider both statements together. Let's break down the problem step by step:
Step 1: Determine the total number of actors needed
Since the drama company needs 24 actors in total, we can express this as:
Boys + Girls + Adults = 24
Step 2: Use Statement I to determine the ratio of boys to girls
Statement I tells us that the ratio of boys to girls is 2:1. Let's assume the number of boys is 2x and the number of girls is x. Therefore, we can express this as:
2x + x + Adults = 24
Step 3: Use Statement II to determine the ratio of children to adults
Statement II tells us that the ratio of children to adults is 3:1. Since children include both boys and girls, we can express this as:
(2x + x) / Adults = 3/1
Simplifying this equation, we get:
3x / Adults = 3/1
x / Adults = 1/1
Step 4: Solve the equations
From Step 2, we have:
3x + Adults = 24
From Step 3, we have:
x = Adults
Substituting the value of x from Step 3 into the equation from Step 4, we get:
3(A) + A = 24
Simplifying this equation, we get:
4A = 24
A = 6
Therefore, we need 6 adults for the drama company.
Conclusion:
To solve the problem, we need both statements together. Statement I alone does not provide enough information to determine the number of adults needed, as it only gives us the ratio of boys to girls. Statement II alone also does not provide enough information, as it only gives us the ratio of children to adults. However, when we consider both statements together, we can solve the problem and determine that 6 adults are needed. Hence, the correct answer is option B: Statement II ALONE is sufficient, but statement I alone is not sufficient.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?
Question Description
A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?.
A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. 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 A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A drama company needs 24 actors to be cast among boys, girls and adults. If no actor takes two roles, how many adults are needed? Choose from the choices a, b, c, d to say which of the following statements is/are necessary to solve the problem.Statement I : The ratio of boys needed to girls is 2:1Statement II : The ratio of children(boys and girls) needed to adults is 3 : 1a)Statement I ALONE is sufficient, but statement II alone is not sufficientb)Statement II ALONE is sufficient, but statement I alone is not sufficientc)BOTH statements together are sufficient but NEITHER statement ALONE is sufficientd)BOTH statements TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup