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Consider the following sentences∶
1. Of the two consecutive integers, one is even.
2. Square of an odd integer is of the form 8n + 1
Q. Which of the above statements is/are correct?
  • a)
    1 only
  • b)
    2 only 
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following sentences1. Of the two consecutive integers, on...
Statement 1
Of the two consecutive integers, one will be odd and other will be even always.
Hence statement 1 is correct.
Statement 2
Let the two consecutive integers are 2 and 3;
Square of an odd integer = 32 = 9 = 8n + 1 (n = 1)
Hence statement 2 is also correct.
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Most Upvoted Answer
Consider the following sentences1. Of the two consecutive integers, on...
Explanation:

1. Statement 1:
- The statement says that of two consecutive integers, one is even. This statement is correct because in a set of consecutive integers, one number will always be odd and the other will be even. For example, if we consider two consecutive integers as 5 and 6, 5 is odd and 6 is even.

2. Statement 2:
- The statement mentions that the square of an odd integer is of the form 8n + 1. This statement is also correct. When we square any odd integer, the result will always be of the form 8n + 1. For example, if we square the odd integer 3, we get 9 which can be expressed as 8(1) + 1.

Therefore, both statements 1 and 2 are correct as they are logically sound and consistent with mathematical principles.

Overall, the correct answer is option C) Both 1 and 2.
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Consider the following sentences1. Of the two consecutive integers, one is even.2. Square of an odd integer is of the form 8n + 1Q. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?
Question Description
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