To determine the nature of b (odd or even), consider the following statements: Statement I: a is even; What can be concluded about b?
Statement II: a + b is odd.
b is odd
Parity rules: even + even = even, and even + odd = odd.
Statement I: a is even. On its own this says nothing about b.
Statement II: a + b is odd. A sum is odd only when one number is even and the other is odd.
Combining both: since a is even, b must be the odd one, otherwise a + b would be even. (Both being even is impossible, as their sum would then be even.)
Hence, b is odd.
Similar Questions
To determine whether h > i, consider the following:
Statement I: h > j;
Statement II: j > i.Are the statements sufficient to conclude h > i?
Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
