ISEE Word Problems Question 240: Answer and Explanation
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Question: 240
4. If the sum of all integers from 1 to 400, inclusive, is x, then which expression represents the sum of all integers from 1 to 397, inclusive?
- A. x + 1,197
- B. x + 397
- C. x – 397
- D. x – 1,197
Correct Answer: D
Explanation:
The answer is D
The sum of the integers from 1 to 397 will not include three numbers counted in the sum of all integers from 1 to 400, namely, 398, 399, and 400. If the sum of all integers from 1 to 400 is x, then the sum of all integers from 1 to 397 will be x minus the sum of 398, 399, and 400: x - (398 + 399 + 400) or x - 1197.