UPSC Exam  >  UPSC Questions  >  Consider the Question and two Statements give... Start Learning for Free
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...
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'.
Free Test
Community 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.
Explore Courses for UPSC exam

Top Courses for UPSC

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev