Which of the following numbers will completely divide (461 + 462 + 463 + 464)?
- 3
- 10
- 11
- 13
The Correct Option is B
Solution and Explanation
To determine which number will completely divide the expression (461 + 462 + 463 + 464), follow these steps:
1. Calculate the value of the expression:
461 + 462 + 463 + 464 = 1850
2. Check if each option divides 1850 without a remainder:
Option 3:
1850 ÷ 3 = 616.67 (not divisible)
Option 10:
1850 ÷ 10 = 185 (divisible)
Option 11:
1850 ÷ 11 = 168.18 (not divisible)
Option 13:
1850 ÷ 13 = 142.31 (not divisible)
Therefore, the correct answer is 10 as it divides 1850 completely.
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