UPSC Exam > UPSC Questions > The average of four consecutive even numbers ...
Start Learning for Free
The average of four consecutive even numbers is 27. The largest of these numbers is:
- a)36
- b)32
- c)30
- d)28
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The average of four consecutive even numbers is 27. The largest of the...
27
/. \
24- 26- 28 -(30)
hence 30 is a right answer
/. \
24- 26- 28 -(30)
hence 30 is a right answer
Free Test
FREE
| Start Free Test |
Community Answer
The average of four consecutive even numbers is 27. The largest of the...
Understanding the Problem
To find the largest of four consecutive even numbers whose average is 27, we first need to set up the problem correctly.
Defining the Numbers
Let the four consecutive even numbers be:
- x (first even number)
- x + 2 (second even number)
- x + 4 (third even number)
- x + 6 (largest even number)
Calculating the Average
The average of these four numbers can be calculated as follows:
- Average = (x + (x + 2) + (x + 4) + (x + 6)) / 4
Combining like terms:
- Average = (4x + 12) / 4
- Simplifying gives us: Average = x + 3
Since we know the average is 27:
- x + 3 = 27
Solving for x
Now, we solve for x:
- x = 27 - 3
- x = 24
Finding the Largest Number
Now that we have the value of x, we can find the largest number:
- Largest number = x + 6
- Largest number = 24 + 6
- Largest number = 30
Conclusion
Thus, the largest of the four consecutive even numbers is 30, corresponding to option 'C'.
To find the largest of four consecutive even numbers whose average is 27, we first need to set up the problem correctly.
Defining the Numbers
Let the four consecutive even numbers be:
- x (first even number)
- x + 2 (second even number)
- x + 4 (third even number)
- x + 6 (largest even number)
Calculating the Average
The average of these four numbers can be calculated as follows:
- Average = (x + (x + 2) + (x + 4) + (x + 6)) / 4
Combining like terms:
- Average = (4x + 12) / 4
- Simplifying gives us: Average = x + 3
Since we know the average is 27:
- x + 3 = 27
Solving for x
Now, we solve for x:
- x = 27 - 3
- x = 24
Finding the Largest Number
Now that we have the value of x, we can find the largest number:
- Largest number = x + 6
- Largest number = 24 + 6
- Largest number = 30
Conclusion
Thus, the largest of the four consecutive even numbers is 30, corresponding to option 'C'.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?
Question Description
The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?.
The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?.
Solutions for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup