XAT 2016 — QA & DI Question 2
Anita, Biplove, Cheryl, Danish, Emily and Feroze compared their marks among themselves. Anita scored the highest marks, Biplove scored more than Danish. Cheryl scored more than at least two others and Emily had not scored the lowest.
Statement I: Exactly two members scored less than Cheryl.
Statement II: Emily and Feroze scored the same marks.
Which of the following statements would be sufficient to identify the one with the lowest marks?
Answer & solution
- A
Statement I only.
Statement II only.
- C
Both Statement I and Statement II are required together.
- D
Neither Statement I nor Statement II is sufficient.
- E
Either Statement I or Statement II is sufficient.
Anita scored the highest marks, hence Anita cannot have the lowest marks.
Biplove scored more than Danish, hence Biploye cannot have the lowest marks.
Cheryl scored more than at least two others, hence Cheryl cannot have the lowest marks.
Emily had not scored the lowest.
∴ Either Danish or Feroze will have the lowest marks.
From Statement I: Cheryl’s has the 4th highest marks
Here, we cannot uniquely identify the person with least marks with only this information.
From Statement II: Emily and Feroze scored same marks.
âµ Emily doesn’t have lowest marks, Feroze also cannot have the lowest marks.
∴ Only Danish can have the lowest marks.
⇒ Statement II is sufficient to identify the person with the lowest marks
Hence, option (b).