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Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?
(1) A total of 4,800 cans are filled that minute
(2) For that minute,there are 2 Type B machines working for every Type C machine working
(2) For that minute,there are 2 Type B machines working for every Type C machine working
- a)Statement 1 alone is sufficient, but Statement 2 alone is not.
- b)Statement 2 alone is sufficient, but Statement 1 alone is not.
- c)Both statements together are sufficient, but neither alone is sufficient.
- d)Each statement alone is sufficient.
- e)Neither statement is sufficient.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Each type A machine fills 400 cans per minute,each Type B machine fill...
We are given that each Type A machine fills 400 cans per minute, each Type B machine fills 600 cans per minute, and each Type C machine installs 2,400 lids per minute.
We need to determine the total number of machines working for a particular minute. If we let a = the number of Type A machines needed, b = the number of Type B machines needed, and c = the number of Type C machines needed, we need to determine the value of a + b + c.
Statement One Alone:
A total of 4,800 cans are filled that minute.
Since a Type C machine installs 2,400 lids per minute, we know that we need 2 Type C machines (i.e., c = 2) to install 4,800 lids after the 4,800 cans are filled in that minute.
Since each Type A machine fills 400 cans per minute and each Type B machine fills 600 cans per minute, we have:
400a + 600b = 4,800
4a + 6b = 48
2a + 3b = 24
However, since we only have one equation but we have two variables, the values of a and b are not unique. For example, a = 12 and b = 0 OR a = 0 and b = 8.
Statement one alone is not sufficient to answer the question.
Statement Two Alone:
For that minute, there are 2 Type B machines working for every Type C machine working.\
Thus, b/c = 2/1, i.e., b = 2c; however we still cannot determine a + b + c. Statement two alone is not sufficient.
Statements One and Two Together:
From statement one, we know that c = 2 and 2a + 3b = 24, and from statement two, we know that b = 2c. Since c = 2 and b = 2c, we see that b = 4.
Next we can substitute 4 for b in the equation 2a + 3b = 24:
2a + 3(4) = 24
2a + 12 = 24
2a = 12
a = 6
Thus a + b + c = 6 + 4 + 2 = 12. We need 12 machines for that particular minute.
2a + 3(4) = 24
2a + 12 = 24
2a = 12
a = 6
Thus a + b + c = 6 + 4 + 2 = 12. We need 12 machines for that particular minute.
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Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer?.
Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled.For a particular minute,what is the total number of machines working?(1) A total of 4,800 cans are filled that minute(2) For that minute,there are 2 Type B machines working for every Type C machine workinga)Statement 1 alone is sufficient, but Statement 2 alone is not.b)Statement 2 alone is sufficient, but Statement 1 alone is not.c)Both statements together are sufficient, but neither alone is sufficient.d)Each statement alone is sufficient.e)Neither statement is sufficient.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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