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Which of the following numbers is divisi...

Which of the following numbers is divisible by 8 ?

A

96354142

B

37450176

C

57064214

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers is divisible by 8, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Numbers**: We have four options to check: - Option 1: 196354142 - Option 2: 37450176 - Option 3: 57064214 - Option 4: None of these 2. **Use the Rule for Divisibility by 8**: A number is divisible by 8 if the last three digits of the number are divisible by 8. 3. **Check Option 1: 196354142**: - Last three digits: 142 - Divide 142 by 8: - 8 goes into 142 a total of 17 times (8 x 17 = 136). - Remainder: 142 - 136 = 6 (not divisible by 8). 4. **Check Option 2: 37450176**: - Last three digits: 176 - Divide 176 by 8: - 8 goes into 176 a total of 22 times (8 x 22 = 176). - Remainder: 176 - 176 = 0 (divisible by 8). 5. **Check Option 3: 57064214**: - Last three digits: 214 - Divide 214 by 8: - 8 goes into 214 a total of 26 times (8 x 26 = 208). - Remainder: 214 - 208 = 6 (not divisible by 8). 6. **Conclusion**: - From the checks, only the number from Option 2 (37450176) is divisible by 8. ### Final Answer: The number that is divisible by 8 is **Option 2: 37450176**.
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