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01 Nov 2011, 00:55
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Choose 1 If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2 if the question can be answered by using either statement alone.
Choose 3 if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4 if the question cannot be answered even by using both statements together.
Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1+1, 1+1+2, and 1+1 respectively. Their respective answers were 3,3 and 2. How many of the professors are mathematicians ?
1. A mathematician can never add two numbers correctly, but can always add three numbers correctly.
2. When a mathematician makes a mistake in a sum, the error is + 1 or - 1.
a) 1 b) 2 c) 3 d) 4
I will post answer after your reply.
Choose 2 if the question can be answered by using either statement alone.
Choose 3 if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4 if the question cannot be answered even by using both statements together.
Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1+1, 1+1+2, and 1+1 respectively. Their respective answers were 3,3 and 2. How many of the professors are mathematicians ?
1. A mathematician can never add two numbers correctly, but can always add three numbers correctly.
2. When a mathematician makes a mistake in a sum, the error is + 1 or - 1.
a) 1 b) 2 c) 3 d) 4
I will post answer after your reply.
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01 Nov 2011, 01:08
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The answer is 4 (or E in the usual parlance)
Using only the first statement, we see that B has failed to add three numbers correctly. Therefore B is sure to be a non-mathematician. C could add two numbers correctly, whereas a mathematician cannot, so C is sure to not be a mathematician too. A could not add two numbers correctly, and we know that a mathematician cannot add two numbers correctly. However, we do not know if a non-mathematician can or cannot add two numbers correctly. Therefore it is not possible to say whether A is a mathematician or not. Insufficient.
Using statement 2, any one of A or B or C may or may not be a mathematician. We cannot say for sure. Insufficient. This is because it may be that A or B or C (or any two or all or none) are mathematicians and they made a mistake or that they are mathematicians and did not make a mistake or that they are non-mathematicians and made a mistake or that they are non-mathematicians and did not make a mistake. This statement is therefore insufficient.
Combining statement (1) and (2), we know that B and C are non-mathematicians. However, it is still unclear whether A is a mathematician and made an error or whether A is a non-mathematician and made an error. Therefore even statements (1) and (2) together are insufficient.
Hence (E).
Using only the first statement, we see that B has failed to add three numbers correctly. Therefore B is sure to be a non-mathematician. C could add two numbers correctly, whereas a mathematician cannot, so C is sure to not be a mathematician too. A could not add two numbers correctly, and we know that a mathematician cannot add two numbers correctly. However, we do not know if a non-mathematician can or cannot add two numbers correctly. Therefore it is not possible to say whether A is a mathematician or not. Insufficient.
Using statement 2, any one of A or B or C may or may not be a mathematician. We cannot say for sure. Insufficient. This is because it may be that A or B or C (or any two or all or none) are mathematicians and they made a mistake or that they are mathematicians and did not make a mistake or that they are non-mathematicians and made a mistake or that they are non-mathematicians and did not make a mistake. This statement is therefore insufficient.
Combining statement (1) and (2), we know that B and C are non-mathematicians. However, it is still unclear whether A is a mathematician and made an error or whether A is a non-mathematician and made an error. Therefore even statements (1) and (2) together are insufficient.
Hence (E).
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
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