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Each question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Q.
What is the three digit number?
A. The three digit number is exact multiple of 9.
B. The first and the third digit is 8.
  • a)
    if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
  • b)
    if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
  • c)
    if both statements A and B together are needed to answer the question.
  • d)
    if either the statement A alone or statement B alone is sufficient to answer the question.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Each question below is followed by two statements A and B. You are to ...
Given:
Question: What is the three-digit number?
Statement A: The three-digit number is an exact multiple of 9.
Statement B: The first and third digit is 8.

To determine the three-digit number, we need to analyze both statements A and B together.

Statement A: The three-digit number is an exact multiple of 9.
From this statement alone, we know that the number must be divisible by 9. However, this information is not sufficient to determine the specific three-digit number. There are multiple three-digit numbers that are multiples of 9, such as 108, 117, 126, etc. So, statement A alone is not sufficient to answer the question.

Statement B: The first and third digit is 8.
From this statement alone, we know the specific values of the first and third digits of the three-digit number, but we are still missing the value of the second digit. Without the second digit, we cannot determine the exact three-digit number. For example, the number could be 808, 818, 828, etc. So, statement B alone is not sufficient to answer the question.

Statements A and B together:
Combining both statements, we can conclude that the three-digit number must be a multiple of 9 and have the first and third digits as 8. Let's consider the possible values for the second digit.

- If the second digit is 0, then the number would be 808, which is a multiple of 9.
- If the second digit is 1, then the number would be 818, which is not a multiple of 9.
- If the second digit is 2, then the number would be 828, which is not a multiple of 9.

We can continue this process and realize that the only possible three-digit number that satisfies both statements A and B is 808. Therefore, both statements A and B together are needed to answer the question.

Hence, the correct answer is option C - both statements A and B together are needed to answer the question.
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Each question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.Q.What is the three digit number?A. The three digit number is exact multiple of 9.B. The first and the third digit is 8.a)if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.b)if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.c)if both statements A and B together are needed to answer the question.d)if either the statement A alone or statement B alone is sufficient to answer the question.Correct answer is option 'C'. Can you explain this answer?
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