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Direction: Read the following information carefully and answer the question below it
P. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.
Minimum how many of these integers can be even?
- a)3
- b)2
- c)4
- d)0
Correct answer is option 'D'. Can you explain this answer?
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None of the Integer should be even
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Question: Minimum how many of these integers can be even?
Given:
- P, Q, R, S, T, U, and V are seven positive integers
- (P x Q x R x S x T x U x V) is odd
Solution:
- In order for the product of seven positive integers to be odd, we need an odd number of odd integers
- Let's assume that all seven integers are odd
- The product of seven odd integers is also odd, which contradicts the given information that the product is odd
- Therefore, we must have at least one even integer
- Let's assume that we have only one even integer, say P
- In this case, the product would be even, which again contradicts the given information that the product is odd
- Therefore, we must have at least two even integers
- Let's assume that we have only two even integers, say P and Q
- In this case, the product would be even, which again contradicts the given information that the product is odd
- Therefore, we must have at least three even integers
- Let's assume that we have only three even integers, say P, Q, and R
- In this case, the product would be odd, which satisfies the given information
- Therefore, the minimum number of integers that can be even is 0
Answer: Option D (0)
Given:
- P, Q, R, S, T, U, and V are seven positive integers
- (P x Q x R x S x T x U x V) is odd
Solution:
- In order for the product of seven positive integers to be odd, we need an odd number of odd integers
- Let's assume that all seven integers are odd
- The product of seven odd integers is also odd, which contradicts the given information that the product is odd
- Therefore, we must have at least one even integer
- Let's assume that we have only one even integer, say P
- In this case, the product would be even, which again contradicts the given information that the product is odd
- Therefore, we must have at least two even integers
- Let's assume that we have only two even integers, say P and Q
- In this case, the product would be even, which again contradicts the given information that the product is odd
- Therefore, we must have at least three even integers
- Let's assume that we have only three even integers, say P, Q, and R
- In this case, the product would be odd, which satisfies the given information
- Therefore, the minimum number of integers that can be even is 0
Answer: Option D (0)
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Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer?
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Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer?.
Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction: Read the following information carefully and answer the question below itP. Q. R. S. T. U and V are seven positive integers and (P x Q x R x S x T x U x V) is odd.Minimum how many of these integers can be even?a)3b)2c)4d)0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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