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Question

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

P, Q, R and S appeared in a test.

Question: Has P scored more marks than Q ?

Statement - I: The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S.

Statement - II: The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.

Which one of the following is correct in respect of the above Question and the Statements?

The correct answer is

The Question cannot be answered even by using both the Statements together

Using statement-I alone:

 P + Q = R + S ….…(i) So, 

from statement –I alone we cannot say that P scored more than Q or not. 

Using statement-II alone: (P + S) > (Q + R) ……..(ii) So, from statement –II alone also, 

we cannot say that P scored more than Q or not. 

And even after combining both the statements, we cannot definitely say that P scored more that Q or not. 

Therefore, this question cannot be answered even by using both of the statements together.

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