Seven people A, B, C, D, E, F and G, scored different marks (out of 100) in an exam. G scored the lowest marks. B scored second highest marks, which were 80. A scored 72. E scored more than F but less than C. Marks scored by C were a multiple of 11 and less than 70. The sum of marks scored by C and F was 120. What is the score of F?

Correct option is B

Given:
7 people: A, B, C, D, E, F, G
All scored different marks
G scored the lowest
B scored second highest, which is 80
A = 72
E > F but < C
C's marks: A multiple of 11
Less than 70
C + F = 120
Multiples of 11 under 70:
11, 22, 33, 44, 55, 66
C + F = 120
if C = 66
Then F = 120 - 66 = 54
Now verify:
E > F = 54
E < C = 66
So E must be between 54 and 66, which is possible.
Also, marks so far:
G = lowest
F = 54
E = between 54 and 66
C = 66
A = 72
B = 80 (2nd highest)
 So 1 person (say D) must be above 80
 Everything fits if C = 66, F = 54
Correct answer is (b) 54.