2017 · Q46
Consider the following statements :
- 1Of two consecutive integers, one is. even.
- 2Square of an odd integer is of the form 8n + 1.
Which of the above statements is/are correct ?
Elementary MathematicsNumber System
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Statement 1: among any two consecutive integers one is even — true. Statement 2: (2k+1)² = 4k(k+1) + 1, and k(k+1) is even, so this equals 8m + 1 — true. Both are correct: option C.