19 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:
Statement 1: At least two members obtained less marks than C
Statement 2: E and F obtained the same marks
Which of the above statement(s) is/are sufficient to identify the one with the lowest marks?
A. Both 1 and 2
B. Neither 1 nor 2
C. 1 only
D. 2 only
Answers
Answer:
D. 2 only
Step-by-step explanation:
B > D
A > C > _ > _ > _ > E
A > _ > C > _ > _ > E
A > _ > _ > C > _ > E
Statement 1: At least two members obtained less marks than C
statement 1 has no special contribution in the solution as ‘C obtained more than at least two others’ is already mentioned in the question.
Statement 2: E and F obtained the same marks
E = F
B > D
Possible Combinations are:
A > C > E = F > B > D or A > C > B > E = F > D
A > B > C > E =F > D
A > E = F > C > B > D
In all the possible cases, ‘D’ is the one who has got the lowest marks.
It is only with the help of statement 2 we have found out the answer.
So, statement 2 only is sufficient to answer the question.
Hence, ‘only 2’ is the correct answer.
Step by Step
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.
B > D
A > C > _ > _ > _ > E
A > _ > C > _ > _ > E
A > _ > _ > C > _ > E
Statement 1: At least two members obtained less marks than C
statement 1 has no special contribution in the solution as ‘C obtained more than at least two others’ is already mentioned in the question.
Statement 2: E and F obtained the same marks
E = F
B > D
Possible Combinations are:
A > C > E = F > B > D or A > C > B > E = F > D
A > B > C > E =F > D
A > E = F > C > B > D
In all the possible cases, ‘D’ is the one who has got the lowest marks.
It is only with the help of statement 2 we have found out the answer.
So, statement 2 only is sufficient to answer the question.