Consider the following statements : 1. The sum of 5 consecutive integers can be 100. 2. The product of three consecutive natural numbers can be equal to their sum. Which of the above statements is/are correct?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Considering statement 1: Let the 5 consecutive numbers be x-2, x-1, x, x+1, x+2 Their sum = 5x = 100 Or x = 20 So, the numbers are 18, 19, 20, 21, and 22. Statement 1 is correct. Considering statement 2: We know that, 1 + 2 + 3 = 6 And 1 × 2 × 3 = 6 So, Statement 2 is correct too.
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