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If P is the product, S is the sum and As the average of first N natural numbers, then which among the wing is definitely false? Select one: 1.P=S>A 2.P>5>A 3.S>P>A 4.None of these?
Most Upvoted Answer
If P is the product, S is the sum and As the average of first N natura...
Understanding the problem
We are given that P is the product, S is the sum, and A is the average of the first N natural numbers.
We need to determine which statement among the given options is definitely false.
Solution
To solve this problem, let's analyze each statement:
Statement 1: P = S > A
- The product of the first N natural numbers can be calculated as P = N!
- The sum of the first N natural numbers can be calculated as S = N(N+1)/2.
- The average of the first N natural numbers can be calculated as A = S/N.
Using these formulas, we can see that P is always greater than both S and A.
Hence, statement 1 is definitely false.
Statement 2: P > 5 > A
- The product of the first N natural numbers can be calculated as P = N!
- The sum of the first N natural numbers can be calculated as S = N(N+1)/2.
- The average of the first N natural numbers can be calculated as A = S/N.
Since P is always greater than both S and A, statement 2 is definitely true.
Statement 3: S > P > A
Since P is always greater than both S and A, statement 3 is definitely false.
Therefore, the correct answer is Option 1: P = S > A, which is definitely false.
Note: The given options do not cover all possible combinations of the relations between P, S, and A. It is important to consider all possible scenarios and not assume that the options provided are exhaustive.
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If P is the product, S is the sum and As the average of first N natural numbers, then which among the wing is definitely false? Select one: 1.P=S>A 2.P>5>A 3.S>P>A 4.None of these?
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If P is the product, S is the sum and As the average of first N natural numbers, then which among the wing is definitely false? Select one: 1.P=S>A 2.P>5>A 3.S>P>A 4.None of these? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If P is the product, S is the sum and As the average of first N natural numbers, then which among the wing is definitely false? Select one: 1.P=S>A 2.P>5>A 3.S>P>A 4.None of these? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P is the product, S is the sum and As the average of first N natural numbers, then which among the wing is definitely false? Select one: 1.P=S>A 2.P>5>A 3.S>P>A 4.None of these?.
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