The average of 8 consecutive even numbers written in ascending order is 17 What is the average ofthe...........

Quantitative Aptitude (CGL) Algebra

The average of 8 consecutive even numbers written in ascending order is 17. What is the average ofthe last three numbers, 36

and 53?

This questions was previously asked in

SSC CGL 17th August 2021 Shift-1

32.2

31.6

29.8

- The 8 consecutive even numbers have an average of 17.

- For 8 consecutive even numbers, the numbers can be written as: x, x+2, x+4, ..., x+14.

- Their average is \( x+7 \) (the mean of 1st and last number), and that equals 17.

- So, \( x+7 = 17 \) ? \( x = 10 \).

- The numbers are: 10, 12, 14, 16, 18, 20, 22, 24.

- The last three numbers: 18, 20, 22, 24. Actually, last three are 20, 22, 24.

- The average of the last three: \( (20+22+24)/3 = 66/3 = 22 \).

- Then, including 36 and 53: \( (20+22+24+36+53)/5 = (155)/5 = 31 \

- Option 1: 31 is correct.

- Option 2: 32.2 is incorrect.

- Option 3: 31.6 is incorrect.

- Option 4: 29.8 is incorrect.

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