Question

Mark (a) if the question can be answered from statement I alone
Mark (b) if question can be answered from statement II alone
Mark (c) if question can be answered using both statements together but not by using either statement alone
Mark (d) if the question cannot be answered by using both the statements.
Given, x + 2y + z = 8;2x + y + z = 7
What are the values of x, y, z?
I: x, y, z are positive integers.
II : x, y, z are distinct numbers.

• A. A
• B. B
• C. C
• D. D

Answer 1

The correct option is A A

Subtracting an equation from the other, we get y - x = 1

The possible values of x, y, z are tabulated below.

x y z x+2y+z 2x+y+z

1 2 3 8 7

2 3 0 8 7

From statement 1, (x, y, z) = (1, 2, 3)

Statement 2 alone does not help because without statement 1, we can have infinite

solutions. The correct option is a.