JIPMAT 2021 (LR) - Below a question is given along with two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. If a and b are integers, is (a + b) an odd number? Statement I : 8 < a < 11 Statement II : 7 < b < 10 | PYQs + Solutions

JIPMAT 2021

Critical Reasoning

Statement & Conclusion

Conceptual

Below a question is given along with two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question.
If $a$ and $b$ are integers, is $(a + b)$ an odd number?
Statement I : $8 < a < 11$
Statement II : $7 < b < 10$

If the data in statement I alone are sufficient to answer the question.

If the data in statement I and statement II both are necessary to answer the question

If the data in statement I and statement II together are not sufficient to answer the question.

If the data in statement II alone are sufficient to answer the question.

Correct Option: 3

According to the given statements,

a=9

10

\newline

and

b=8

9

While

9+8=17

and

10+9=19

are odd numbers,

9+9=18

and

10+8=18

are even numbers.

\newline

Hence,

a+b

isn't necessarily an odd number. Hence, Option 3.