Question
What is the average of all multiples of 10 from 2 to 198?
Official answer and solution
- Official answer
- B
- From
- Official GATE 2014 answer key
Solution
Identify the arithmetic sequence of multiples of 10 within the given range and compute its average.
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The integers in the specified range are between and .
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The multiples of in this range are:
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This sequence forms an arithmetic progression where:
- First term
- Last term
- Common difference
- Number of terms
-
For any finite arithmetic progression, the average equals the average of the first and last terms:
This corresponds to option B.
B
Including 0 or 200, which are outside the range from 2 to 198.
The answer is the one in the official GATE answer key. The solution is this site's own explanation.
Source
- Paper
- GATE 2014 Computer Science and Information Technology (CS) Session 2
- Question
- 4 of 65, printed as GA Q.4
- Section
- General Aptitude
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