Question

A, Band C are integers. Is B an even number?
I. (A + B) is an odd number.
II. (C + B) is an odd number

• A. lf the data in statement I alone are sufficient to answer the questions, while the data in statement II alone are not sufficient to answer questions
• B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer questions
• C. If the data even in both statements I and II together are not sufficient to answer the question
• D. If the data in both statements I and II together are necessary to answer the questions

Answer 1

The correct option is C If the data even in both statements I and II together are not sufficient to answer the question

(I) ⇒A+B⇒A+B is odd ⇒⇒ either A is odd and B is even or A is even and B is odd.
(II) ⇒C+B⇒C+B is odd ⇒⇒ either C is odd and B is even or C is even and B is odd.
Hence, question can't be answered even with the help of two statements. Therefore, both statements together are not sufficient to answer the question.