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The average of 5 numbers is 40. Average of first two and last two is 25 and 45 respectively. Find the middle number.
  • a)
    60
  • b)
    45
  • c)
    30
  • d)
    Cannot be determined
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average of 5 numbers is 40. Average of first two and last two is 2...
A) 60
Explanation: 5*40 – (2*25 + 2*45)
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Most Upvoted Answer
The average of 5 numbers is 40. Average of first two and last two is 2...
Given information:
- Average of 5 numbers = 40
- Average of first two numbers = 25
- Average of last two numbers = 45

Approach:
Let's assume the 5 numbers as a, b, c, d, and e. We need to find out the value of the middle number (c).

- Average of 5 numbers = (a+b+c+d+e)/5 = 40
- Sum of 5 numbers = (a+b+c+d+e) = 200

Now, we have two more equations:
- (a+b)/2 = 25 (Average of first two numbers)
- (d+e)/2 = 45 (Average of last two numbers)

We can simplify the above two equations as:
- a + b = 50
- d + e = 90

Let's add the above two equations:
- (a+b) + (d+e) = 140

We know that the sum of 5 numbers is 200, so we can subtract the above equation from it to get the value of the middle number (c):
- a+b+c+d+e - (a+b) - (d+e) = c = 200 - 140 = 60

Therefore, the middle number is 60.

Hence, the correct answer is option 'A'.
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Q(1 – 10) Each of the questions below consists of a question and two/three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –Is the average of the largest and the smallest of four given numbers greater than the average of four numbersI. The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.II. The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest numberIII. The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.

The average of 5 numbers is 40. Average of first two and last two is 25 and 45 respectively. Find the middle number.a)60b)45c)30d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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