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Given below are the two statements:
Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.
Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.
In the light of the above statements, choose the correct answer from the options given below.
  • a)
    Both statements I and II are true.
  • b)
    Both statements I and II are false.
  • c)
    Statement I is true and Statement II is false.
  • d)
    Statement I is false, but Statement II is true.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given below are the two statements:Statement I: Six positive integers...
Statement Analysis

Statement I:
- The sum of six positive integers is less than 30.
- The smallest possible median is 1.

Statement II:
- The equation 8k^2 + 4k = 4 is given.
- k > 0 and must be equal to 1/4.

Explanation

Statement I is True:
- If the sum of six positive integers is less than 30, and the smallest possible median is 1, it means the numbers could be 1, 1, 1, 1, 1, and 4. This set adds up to 9 and has a median of 1, satisfying both conditions.

Statement II is False:
- Solving the given equation 8k^2 + 4k = 4, we get k = 1/2 or -1/4. Since k > 0, the correct value for k is 1/2, not 1/4.

Therefore, the correct answer is Option C: Statement I is true and Statement II is false.
Free Test
Community Answer
Given below are the two statements:Statement I: Six positive integers...
Statement I: Choosing numbers will help. If we choose 1, 1, 1, 1, 1 and 24, the sum is equal to 29, which is less than 30.
The median is 1.
Hence, statement 1 is true.
Statement II: Put k = 1/4 in 8k2 + 4k = 4
Hence, Statement 2 is false.
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Given below are the two statements:Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.In the light of the above statements, choose the correct answer from the options given below.a)Both statements I and II are true.b)Both statements I and II are false.c)Statement I is true and Statement II is false.d)Statement I is false, but Statement II is true.Correct answer is option 'C'. Can you explain this answer?
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Given below are the two statements:Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.In the light of the above statements, choose the correct answer from the options given below.a)Both statements I and II are true.b)Both statements I and II are false.c)Statement I is true and Statement II is false.d)Statement I is false, but Statement II is true.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Given below are the two statements:Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.In the light of the above statements, choose the correct answer from the options given below.a)Both statements I and II are true.b)Both statements I and II are false.c)Statement I is true and Statement II is false.d)Statement I is false, but Statement II is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are the two statements:Statement I: Six positive integers add up to a total of less than 30. This set's smallest possible median is 1.Statement II: If 8k2 + 4k = 4 and k > 0, then k must be equal to 1/4.In the light of the above statements, choose the correct answer from the options given below.a)Both statements I and II are true.b)Both statements I and II are false.c)Statement I is true and Statement II is false.d)Statement I is false, but Statement II is true.Correct answer is option 'C'. Can you explain this answer?.
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