How many numbers are there between 100 and 300 which either begin with or end with 2?
- A110Correct
- B111
- C112
- DNone of the above
Explanation
To find the numbers between 100 and 300 that begin or end with 2, we look at two main categories.
First, consider numbers that begin with 2. These are the numbers from 200 to 299. Since the question asks for numbers between 100 and 300, we include 200 up to 299, which gives us exactly 100 numbers. Note that 300 is excluded as per the range.
Second, consider numbers that end with 2 but do not start with 2. These numbers must be in the range of 100 to 199. These are 102, 112, 122, 132, 142, 152, 162, 172, 182, and 192. This gives us 10 numbers.
Adding these two groups together, 100 plus 10 equals 110.
Therefore, there are 110 such numbers. The correct option is A.
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