A, B, C, D, E and F compared their marks in an examination and found that A obtained the highest marks, B obtained more marks than D, C obtained more than at least two others and E had not obtained the lowest marks. Consider the following statements:
Which of the above statement(s) is/are sufficient to identify the one with the lowest marks?
- ABoth 1 and 2
- BNeither 1 nor 2
- C1 only
- D2 only
Explanation
From the data alone the person with the lowest marks could be D or F. Statement 1 merely restates the given fact that C scored more than at least two persons, adding nothing new. Statement 2 (E = F, and E is not the lowest) rules out E and F; with A the highest, C above at least two others, and B above D, the lowest must be D – uniquely determined by statement 2 alone. Hence 2 alone is sufficient, giving (D).