Correct Answer - Option 2 : 30 kg
Eight people – A, B, C, D, E, F, G, and H.
1) The weight of the second heaviest person is 50 kg and the weight of the second lightest person is 26 kg.
2) H is the second lightest person.
3) G is the lightest person and his weight is a multiple of 11 and greater than 15.
⇒ 15 < G < 26 and the age of G is a multiple of 11.
⇒ G = 22
Weight (Highest to lowest) |
Person |
|
|
50 |
|
|
|
|
|
|
|
|
|
26 |
H |
22 |
G |
4) The sum of the weights of C, G, and H is 90 kg.
C + G + H = 90 kg.
⇒ C + 22 + 26 = 90
⇒ C = 42 kg
5) The sum of the weights of C and D is 102 kg.
⇒ C + D = 102 kg
⇒ D = 60 kg
Weight (Highest to lowest) |
Person |
60 |
D |
50 |
|
|
|
|
|
|
|
|
|
26 |
H |
22 |
G |
6) B is lighter than A and F.
7) The weights of A and F are odd multiples of 5.
Thus, B < A/F = 35/45 and B < C.
The only possible person with a weight of 50 kg is E.
Weight (Highest to lowest) |
Person |
60 |
D |
50 |
E |
45 |
A/F |
42 |
C |
35 |
A/F |
|
B |
26 |
H |
22 |
G |
8) The difference between the weights of E and B is 20 kg.
⇒ E - B = 20 kg
⇒ B = 30 kg
9) The sum of the weights of A and B is 75 kg.
⇒ A = 45 kg and F = 35 kg
Weight (Highest to lowest) |
Person |
60 |
D |
50 |
E |
45 |
A |
42 |
C |
35 |
F |
30 |
B |
26 |
H |
22 |
G |
Hence, the weight of B is 30 kg.