How many two-digit numbers are divisible by 4 but not by 8?1. 112. 253. None of the above4. 225. 12
Question
How many two-digit numbers are divisible by 4 but not by 8?
- 112
- 25
- None of the above
- 22
- 12
Solution
The question seems to be asking for the number of two-digit numbers that are divisible by 4 but not by 8. Here's how you can find the answer:
Step 1: Identify the range of two-digit numbers. They range from 10 to 99.
Step 2: Identify the smallest and largest two-digit numbers that are divisible by 4. They are 12 and 96 respectively.
Step 3: Calculate how many two-digit numbers are divisible by 4. Since every fourth number in this range is divisible by 4, subtract the smallest number (12) from the largest (96), divide by 4, and then add 1. This gives (96 - 12) / 4 + 1 = 22.
Step 4: Identify the smallest and largest two-digit numbers that are divisible by 8. They are 16 and 96 respectively.
Step 5: Calculate how many two-digit numbers are divisible by 8. Since every eighth number in this range is divisible by 8, subtract the smallest number (16) from the largest (96), divide by 8, and then add 1. This gives (96 - 16) / 8 + 1 = 11.
Step 6: Subtract the number of two-digit numbers divisible by 8 from the number of two-digit numbers divisible by 4. This gives 22 - 11 = 11.
So, there are 11 two-digit numbers that are divisible by 4 but not by 8. Therefore, the answer is "None of the above".
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