4 identical machines, which operate at the same constant rate, together started manufacturing the batch of an item at 2 PM. Didthey finish the batch before 3.30 PM?(1) The batch size was between 200 and 210 units, inclusive, of the item(2) One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 houra)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'E'. Can you explain this answer?

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a)
Statement (1) ALONE is sufficient, but statement (2) alone is
not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is
not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE
is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question
asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to the
problem are needed

Correct answer is option 'E'. Can you explain this answer?

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Test: Time And Work- 2

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4 identical machines, which operate at the same constant rate, togethe...

Step 1 & 2: Understand Question and Draw Inference

Given: Number of machines = 4
Let the rate of production for each machine = R units per hour

So, the number of units produced by 4 machines in 1 hour = 4R

Let the batch size be B units

Time taken by 4 machines to make 4R units = 1 hour
So, time taken by 4 machines to make 1 unit = 1 4R hours
So, the time taken by 4 machines to produce B units =B4R hours

To Find: Did the machines finish the batch before 3:30 PM

Step 3 : Analyze Statement 1 independent

Statement 1 says that ‘The batch size was between 200 and 210 units, inclusive
of the item’

So, 200 ≤ B ≤ 210
However, since we do not know the value of R yet, we cannot answer the question
Statement 1 is not sufficient

Step 4 : Analyze Statement 2 independent

Statement 2 says that ‘One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 hour’

So, 30 ≤ R ≤ 50
However, since we do not know the value of B yet, we cannot answer the question
Statement 2 is not sufficient

Step 5: Analyze Both Statements Together (if needed)

From Statement 1: 200 ≤ B ≤ 210
From Statement 2: 30 ≤ R ≤ 50
Therefore, the minimum possible value of

Thus, by combining the 2 statements, we see that the value of B/R lies between 4 and 7, inclusive
So, the answer to the question ‘Is Is may be YES or NO, depending on the particular values of B and R
So, the 2 statements together are not sufficient to answer the question

Answer: Option E

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4 identical machines, which operate at the same constant rate, togethe...

Statement 1: The batch size was between 200 and 210 units, inclusive, of the item.

Statement 2: One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 hour.

To determine: Did they finish the batch before 3.30 PM?

Analysis:
- We have 4 identical machines operating at the same constant rate.
- Let's calculate the maximum and minimum time required to manufacture the batch based on the given information.

Calculations:
- Maximum time required:
- If each machine takes the minimum manufacturing time, i.e., 30 units per hour, the maximum time required to manufacture 210 units will be (210/30) = 7 hours.
- Since they started at 2 PM, the maximum time will be 2 PM + 7 hours = 9 PM.
- But we need to check if they finished before 3.30 PM, which is 1.5 hours after they started.
- So, the maximum time required is greater than the time limit, and we cannot conclude if they finished before 3.30 PM.

- Minimum time required:
- If each machine takes the maximum manufacturing time, i.e., 50 units per hour, the minimum time required to manufacture 200 units will be (200/50) = 4 hours.
- Since they started at 2 PM, the minimum time will be 2 PM + 4 hours = 6 PM.
- But we need to check if they finished before 3.30 PM, which is 1.5 hours after they started.
- So, the minimum time required is less than the time limit, and we cannot conclude if they finished before 3.30 PM.

Conclusion:
- Neither statement alone is sufficient to determine if they finished the batch before 3.30 PM.
- Therefore, both statements together are also not sufficient.
- Additional data specific to the problem, such as the exact manufacturing rate of each machine or the actual batch size, is needed to answer the question.

Answered by Notes Wala · View profile

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4 identical machines, which operate at the same constant rate, together started manufacturing the batch of an item at 2 PM. Didthey finish the batch before 3.30 PM?(1) The batch size was between 200 and 210 units, inclusive, of the item(2) One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 houra)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'E'. Can you explain this answer?

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4 identical machines, which operate at the same constant rate, together started manufacturing the batch of an item at 2 PM. Didthey finish the batch before 3.30 PM?(1) The batch size was between 200 and 210 units, inclusive, of the item(2) One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 houra)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'E'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4 identical machines, which operate at the same constant rate, together started manufacturing the batch of an item at 2 PM. Didthey finish the batch before 3.30 PM?(1) The batch size was between 200 and 210 units, inclusive, of the item(2) One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 houra)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 identical machines, which operate at the same constant rate, together started manufacturing the batch of an item at 2 PM. Didthey finish the batch before 3.30 PM?(1) The batch size was between 200 and 210 units, inclusive, of the item(2) One machine could manufacture between 30 and 50 units, inclusive, of the item in 1 houra)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'E'. Can you explain this answer?.

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