Question

Which of the integers A, B, C, D, E are odd numbers?
Statements:
I. A, B, C, D, E are consecutive integers.
II. A and B are prime numbers.

• A. If only statement I is required to answer the question
• B. If only statement II is required to answer the question
• C. If both I and II are required to answer the question
• D. If either I or II are required to answer the question
• E. If neither I nor II are required to answer the question

Hint:

When dealing with sets of consecutive integers, remember that odd and even numbers alternate, and a group of five consecutive integers will always have three odd numbers and two even ones.

Answer 1

The Correct Option is A

Step 1: Analyzing statement I.
Statement I tells us that A, B, C, D, and E are consecutive integers. In any set of five consecutive integers, three will always be odd, and two will always be even. Thus, statement I is sufficient to answer the question about how many of the integers are odd, as it guarantees that three of the five integers are odd.
Step 2: Analyzing statement II.
Statement II tells us that A and B are prime numbers, but this does not help determine how many of the integers are odd, as it does not give enough information about the other integers.
Step 3: Conclusion.
The correct answer is (A) If only statement I is required to answer the question, as statement I alone is sufficient to determine that three of the five integers are odd.