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Consider the Question and two Statements given below:
Statement 1: x, y, and z are even integers.
Statement 2: The sum of x, y, and z is an even number.
Question: Is the product of the three integers x, y, and z even? 
Which one of the following is correct with respect to the Question and the Statements?
  • a)
    Statement 1 alone is sufficient to answer the Question
  • b)
    Statement 2 alone is sufficient to answer the Question
  • c)
    Both statements together are required to answer the Question
  • d)
    Either Statement-1 alone or Statement-2 alone is sufficient to answer the Question
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the Question and two Statements given below:Statement 1: x, y...
If all three integers x, y, and z are even, then their product must also be even. So, statement 1 alone is sufficient to answer the question.
If the sum of x, y, and z is even, then following cases are possible:
* all of them are even. In such a scenario, their product must also be even.
* one is even and two are odd. In such a scenario, their product must also be even.
Therefore, either way the product of x, y, and z would be even.
So, Statement 2 alone is also sufficient to answer the question. Therefore, the answer is (d), i.e. either statement alone is sufficient to answer the question.
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Community Answer
Consider the Question and two Statements given below:Statement 1: x, y...
Statement Analysis:

Statement 1:
- x, y, and z are even integers.

Statement 2:
- The sum of x, y, and z is an even number.

Analysis:
- If x, y, and z are even integers, then their sum will also be an even number.
- Considering Statement 1 alone, we can determine that the product of the three integers x, y, and z will be even since all are even integers.
- Considering Statement 2 alone, we can also determine that the product of x, y, and z will be even as their sum is even.

Conclusion:
- Therefore, either Statement-1 alone or Statement-2 alone is sufficient to answer the Question about the product of the three integers x, y, and z being even.
- Hence, the correct answer is option 'D'.
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Consider the Question and two Statements given below:Statement 1: x, y, and z are even integers.Statement 2: The sum of x, y, and z is an even number.Question: Is the product of the three integers x, y, and z even?Which one of the following is correct with respect to the Question and the Statements?a)Statement 1 alone is sufficient to answer the Questionb)Statement 2 alone is sufficient to answer the Questionc)Both statements together are required to answer the Questiond)Either Statement-1 alone or Statement-2 alone is sufficient to answer the QuestionCorrect answer is option 'D'. Can you explain this answer?
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Consider the Question and two Statements given below:Statement 1: x, y, and z are even integers.Statement 2: The sum of x, y, and z is an even number.Question: Is the product of the three integers x, y, and z even?Which one of the following is correct with respect to the Question and the Statements?a)Statement 1 alone is sufficient to answer the Questionb)Statement 2 alone is sufficient to answer the Questionc)Both statements together are required to answer the Questiond)Either Statement-1 alone or Statement-2 alone is sufficient to answer the QuestionCorrect answer is option 'D'. 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 Consider the Question and two Statements given below:Statement 1: x, y, and z are even integers.Statement 2: The sum of x, y, and z is an even number.Question: Is the product of the three integers x, y, and z even?Which one of the following is correct with respect to the Question and the Statements?a)Statement 1 alone is sufficient to answer the Questionb)Statement 2 alone is sufficient to answer the Questionc)Both statements together are required to answer the Questiond)Either Statement-1 alone or Statement-2 alone is sufficient to answer the QuestionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the Question and two Statements given below:Statement 1: x, y, and z are even integers.Statement 2: The sum of x, y, and z is an even number.Question: Is the product of the three integers x, y, and z even?Which one of the following is correct with respect to the Question and the Statements?a)Statement 1 alone is sufficient to answer the Questionb)Statement 2 alone is sufficient to answer the Questionc)Both statements together are required to answer the Questiond)Either Statement-1 alone or Statement-2 alone is sufficient to answer the QuestionCorrect answer is option 'D'. Can you explain this answer?.
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