Question

If ranks of five candidates P, Q, R, S and T are arranged in ascending order in Numerical Ability, T is the fourth and S is the first. When they are arranged in the ascending order of marks in General Awareness, P takes the place of T and T takes the place of Q. R’s position remains the same in both the arrangements. Q’s marks are lowest in one test and highest in the other test. P has less marks than R in Numerical Ability.
Who has secured the highest marks in Numerical Ability?

Answer 1

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Answer 2

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Marks are arranged in ascending order in numerical ability.

→ Lowest mark is put first.

Now, since S is put first here, S would have the least marks. Since, there are 5 candidates and T secured fourth here, T would be 2nd highest in numerical ability.

Case - 2

Arranged in ascending order of general awareness.

Now, P takes the place of T. Hence, P is second highest in general awareness. T takes the place of Q, which is yet unknown.

→ R's position remains the same.

→ P has less marks than R in numerical ability.

→ Q's marks are lowest in one test and highest in other.

Here, we know that T is second highest in numerical ability, S is last and P has less marks than R. Hence, the highest mark is either of R or Q.

Now, if R is highest, then since it is said that R's position remains the same in both, then R would score highest in both test BUT it then contradicts that Q has scored highest in one test.

Therefore, R is also not the highest scorer.

Hence, Q will be the highest scorer in numerical ability since it is the only person left.