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The average of seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?
  • a)
    10
  • b)
    12
  • c)
    13
  • d)
    14
Correct answer is option 'C'. Can you explain this answer?
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The average of seven consecutive even numbers is 10. If the next three...
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The average of seven consecutive even numbers is 10. If the next three...
Avg of 7 consecutive number = 10 4+6+8+10+12+14+16 / 7 10 is in middle if we add next 3 consecutive even numbers 4+6+8+10+12+14+16+18+20+22 / 10 logically average of this 10 numbers will be the MIDDLE number HERE in middle there is two numbers 12 and 14 we can consider average of this two 13 as average of that 10 even numbers
Community Answer
The average of seven consecutive even numbers is 10. If the next three...
Given:
- The average of seven consecutive even numbers is 10.

To find:
- The new average if the next three even numbers are included.

Solution:
Let the seven consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10 and x+12.

As per the given information, the average of these seven numbers is 10. Therefore, we can write:

(x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) + (x+12))/7 = 10

Simplifying the above equation, we get:

7x + 42 = 70

7x = 28

x = 4

So, the seven consecutive even numbers are 4, 6, 8, 10, 12, 14 and 16.

Now, if we include the next three even numbers, they will be 18, 20 and 22.

Therefore, the new set of numbers will be 4, 6, 8, 10, 12, 14, 16, 18, 20 and 22.

To find the new average, we need to add all these numbers and divide by the total count, which is 10.

(4+6+8+10+12+14+16+18+20+22)/10 = 130/10 = 13

Hence, the new average is 13.

Therefore, option (c) is the correct answer.
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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 seven consecutive even numbers is 10. If the next three even numbers are included, then what is the new average?a)10b)12c)13d)14Correct answer is option 'C'. Can you explain this answer?
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