# Level 2- Data Sufficiency Practice Quiz 3- Medium

DIRECTIONS for following questions 1 to 10: You have to decide whether the data given in the statements is sufficient to answer the question or draw the conclusion of the statement in the question.
Mark 1 if statement A alone is sufficient but B alone is not sufficient
Mark 2 if statement B alone is sufficient but statement A alone is not sufficient
Mark 3 if both statements A and B are needed
Mark 4 if either of statement A or statement B alone is sufficient.
Mark 5 if both of them together are not sufficient
1. Is X greater than Y?
1. X2+5X+6=0.
2. Y2+16Y+63=0.

Statement (A) alone can be translated as
X2+5X+6=0
X2+3X+2X+6=0.
(X+3)(X+2)=0
X= -3, -2
We can’t conclude with only statement A.
Statement (B) alone can be translated as
Y2+16Y+63=0
Y2+9Y+7Y+63=0.
(Y+9)(Y+7)=0
Y= -9, -7
We can’t conclude with only statement B. By combining both the statements we can say X(= -3,-2) is greater than Y(= -9,-7).
So,both statements are necessary to determine the right answer. So, the answer is option 3.

2. What is the total population of town A ?

1. 40% of total population of  town A are males.
2. Total numbers of females in town A is 6000
Statement (A) alone can be translated as 40% of total population of town A is males. That is still not enough to tell us the total number of population in Town A.
Statement (B) alone can be translated as total population of females in town A is 6000. That is also not enough to tell us the result.
Combining both statements,
From the 1st , 60% of Total population are females which is 6000 from the 2nd statement.
60% of total population= 6000
Total population= 10000
Both statements are necessary to determine the right answer. So, the answer is option 3.

3. Is the smallest of five consecutive integers even?

1. The product of five integers is 0.
2. The sum of five integers is 0.