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Answer should be unique

This is one aspect that makes the process of solving the DS questions different from the process of solving QA or DI/LR questions. While in case of QA, we can have multiple values of a variable; in DS there should be only one value of any variable or constant given.
 
Example-1
What is the value of x?
 
Statement 1— x2 – 5x + 6 = 0
 
Statement 2— x2 + 2x – 15 = 0
 
Solution
Using statement 1, value of x = 2, 3
 
Since we are not getting unique value of x using statement 1 alone, we will say that statement 1 alone is not sufficient to give the answer.
 
Using statement 2, value of x = –5, 3
 
Since we are not getting unique value of x using statement 2 alone, we will say that statement 2 alone is not sufficient to give the answer.
 
Till now we have seen that using the statements alone is not sufficient to find the answer. Hence, we will move on to using both the statements together.
 
Using statement 1 and 2 simultaneously, we get a common unique value of x = 3.
 
Hence, both the statements together are needed to answer the question.
 
 
Example-2
What is the value of x, where x is the length of a rectangle?
 
Statement 1— x2 – 5x + 6 = 0
 
Statement 2— x2 + 2x – 15 = 0
 
Solution
Using statement 1, value of x = 2, 3
 
Since we are not getting unique value of x using statement 1 alone, we will say that statement 1 alone is not sufficient to give the answer.
 
Using statement 2, value of x = –5, 3
 
x being the length of the rectangle, it cannot be negative. Hence, x = 3 is the unique answer that we are getting using statement 2 alone.
 





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