Question

The question below consists of a question followed by two statements labeled as 1 and 2. You have to decide whether these statements are sufficient to answer the question.

Question: What is the value of X+Y ?

Statements:

1. X - 2Y = 5

2. X² – 25 = 4XY - 4Y²

1. If statement 2 alone is sufficient to answer the question but statement 1 alone is not sufficient to answer
2. If you can get the answer from 1 and 2 together
3. If you cannot get the answer from 1 and 2 together, still more data is required
4. If statement 1 alone is sufficient to answer the question but statement 2 alone is not sufficient to answer

Answer 1

Correct Answer - Option 3 : If you cannot get the answer from 1 and 2 together, still more data is required

From Statement 1: X - 2Y = 5

cannot find the value of X and Y.

From statement 2: X2 – 25 = 4XY - 4Y2

X2 – 25 = 4XY - 4Y2  -------(1)

X2 - 4XY + 4Y2 = 25

(X - 2Y)² = 25

X - 2Y = 5

cannot find the value of X and Y.

So, same equation in both the statements.

Hence, option (3) is the correct answer.

Here, after calculation, we got only 1 equation, hence we cannot conclude the exact values of X and Y.