Defence Exam  >  Defence Questions  >  Consider the following statements:1. There ex... Start Learning for Free
Consider the following statements:
1. There exists a positive real number m such that cosx = 2m + 1
2. mn ≥ m + n for all m, n belonging to set of natural numbers
Q. Which of the above statement(s) is/are correct?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statements:1. There exists a positive real numb...
Statement I:
For cosx ≤ 1 [∵ -1 ≤ cosx ≤ 1]
⇒ 2m + 1 ≤ 1(20)
⇒ m ≤ -1
⇒ There exists no positive real number for which statement I is true
Statement II:
mn ≥ m + n
If we take m = 1
⇒ n ≥ n + 1, which is not possible for any natural number
⇒ Statement II is wrong
∴ Neither 1 nor 2 is true.
View all questions of this test
Explore Courses for Defence exam
Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?
Question Description
Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?.
Solutions for Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following statements:1. There exists a positive real number m such that cosx = 2m + 12. mn ≥ m + n for all m, n belonging to set of natural numbersQ. Which of the above statement(s) is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
Explore Courses for Defence exam
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