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The arithmetic mean of five different natural numbers is 12. The largest possible value among the
numbers is
numbers is
- a)12
- b)40
- c)50
- d)60
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The arithmetic mean of five different natural numbers is 12. The large...
Solution:
First, let's understand the concept of arithmetic mean. The arithmetic mean of a set of numbers is found by adding all the numbers in the set and then dividing by the total number of values in the set.
Given:
Arithmetic mean of five different natural numbers = 12
Calculating the sum of five natural numbers:
Let the five natural numbers be a, b, c, d, and e.
According to the given condition, the arithmetic mean is 12. Therefore, the sum of the five numbers is 5 * 12 = 60.
Finding the largest possible value:
To maximize the largest number among the five natural numbers, we need to minimize the other four numbers. Since the numbers are different, we can start by assigning the smallest four natural numbers (1, 2, 3, 4) to a, b, c, and d.
Sum of the smallest four numbers = 1 + 2 + 3 + 4 = 10
Therefore, the largest possible value for the fifth number (e) to make the total sum 60 is 60 - 10 = 50.
Hence, the largest possible value among the five numbers is 50, which corresponds to option C.
First, let's understand the concept of arithmetic mean. The arithmetic mean of a set of numbers is found by adding all the numbers in the set and then dividing by the total number of values in the set.
Given:
Arithmetic mean of five different natural numbers = 12
Calculating the sum of five natural numbers:
Let the five natural numbers be a, b, c, d, and e.
According to the given condition, the arithmetic mean is 12. Therefore, the sum of the five numbers is 5 * 12 = 60.
Finding the largest possible value:
To maximize the largest number among the five natural numbers, we need to minimize the other four numbers. Since the numbers are different, we can start by assigning the smallest four natural numbers (1, 2, 3, 4) to a, b, c, and d.
Sum of the smallest four numbers = 1 + 2 + 3 + 4 = 10
Therefore, the largest possible value for the fifth number (e) to make the total sum 60 is 60 - 10 = 50.
Hence, the largest possible value among the five numbers is 50, which corresponds to option C.
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The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer?
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The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer?.
The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The arithmetic mean of five different natural numbers is 12. The largest possible value among thenumbers isa)12b)40c)50d)60Correct answer is option 'C'. Can you explain this answer?.
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