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Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
X, Y and Z are integers. Is X an odd number?
I. An odd number is obtained when X is divided by 5.
II. X + Y is an odd number.
- a)Choose this option if the Question can be answered by one of the Statements alone but not by the other.
- b)Choose this option if the Question can be answered by either Statement alone.
- c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- d)Choose this option if the Question cannot be answered even by using both Statements together.
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Given below is a question and two statements numbered I and II given b...
Understanding the Problem
The question at hand is whether the integer X is an odd number. We have two statements to analyze:
Statement I
- "An odd number is obtained when X is divided by 5."
This statement indicates that when X is divided by 5, the result is an odd number. However, this doesn’t directly tell us whether X itself is odd. For instance, if X is 10, dividing by 5 gives 2 (even), but if X is 15, dividing by 5 gives 3 (odd). Thus, this statement alone is insufficient to determine if X is odd.
Statement II
- "X + Y is an odd number."
This statement tells us that the sum of X and Y results in an odd number. For a sum to be odd, one of the numbers must be even and the other must be odd. However, without knowing the parity (even or odd nature) of Y, we cannot definitively conclude if X is odd or even. Therefore, this statement by itself is also insufficient.
Combining the Statements
When considering both statements together, we still do not have enough information to determine the parity of X.
- Statement I does not confirm whether X is odd or even.
- Statement II does not clarify the nature of X without knowing Y.
Conclusion
Based on the analysis:
- Statement I alone is sufficient to answer the question about X being odd.
Thus, the correct answer is option 'A': The question can be answered by one of the statements alone but not by the other.
The question at hand is whether the integer X is an odd number. We have two statements to analyze:
Statement I
- "An odd number is obtained when X is divided by 5."
This statement indicates that when X is divided by 5, the result is an odd number. However, this doesn’t directly tell us whether X itself is odd. For instance, if X is 10, dividing by 5 gives 2 (even), but if X is 15, dividing by 5 gives 3 (odd). Thus, this statement alone is insufficient to determine if X is odd.
Statement II
- "X + Y is an odd number."
This statement tells us that the sum of X and Y results in an odd number. For a sum to be odd, one of the numbers must be even and the other must be odd. However, without knowing the parity (even or odd nature) of Y, we cannot definitively conclude if X is odd or even. Therefore, this statement by itself is also insufficient.
Combining the Statements
When considering both statements together, we still do not have enough information to determine the parity of X.
- Statement I does not confirm whether X is odd or even.
- Statement II does not clarify the nature of X without knowing Y.
Conclusion
Based on the analysis:
- Statement I alone is sufficient to answer the question about X being odd.
Thus, the correct answer is option 'A': The question can be answered by one of the statements alone but not by the other.
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Community Answer
Given below is a question and two statements numbered I and II given b...
X, Y and Z are integers.
From statement I:
An odd number is obtained when X is divided by 5.
⇒ X/5 = odd number
We know, 5 is an odd number
Thus, X = 5 × (odd number)
We know that, whenever any odd number is multiplied by any other odd number, it gives an odd number.
Hence, X is an odd number
∴ the data in statement I alone is sufficient to answer the question
∴ the data in statement I alone is sufficient to answer the question
From statement II:
(X + Y) is an odd number.
Here, the following cases arise which can make (X + Y) odd:
X : even and Y: odd
Or
X : odd and Y : even
Thus, we cannot determine if X is an odd number or not; hence statement II alone is not sufficient to answer the question.
∴ The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
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Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.X, Y and Z are integers. Is X an odd number?I. An odd number is obtained when X is divided by 5.II. X + Y is an odd number.a)Choose this option if the Question can be answered by one of the Statements alone but not by the other. b)Choose this option if the Question can be answered by either Statement alone.c)Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. d)Choose this option if the Question cannot be answered even by using both Statements together.e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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