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Question :

Directions :Seven persons- A, B, C, D, E, F and G have different weights but not necessarily in the same order.

Weight of B is 18kg more than the weight of A. The weight of only D is less than C. The weight of the third heaviest person is 126kg. G is not the heaviest person. B is heavier than E and lighter than F. The Weight of C is 31kg less than the weight of A. E is heavier than A and lighter than G. The Difference between the weight of B and F is 25kg.

If the sum of the weight of C and E is 198kg and the sum of the weight of E and G is 263kg, then what will be the possible weight of G?

1. 142kg

2. 130kg

3. 135kg

4. 148kg

5. 129kg

Correct Answer : 1
Solution :

Seven persons- A, B, C, D, E, F and G have different weights but not necessarily in the same order.

The weight of the third heaviest person is 126kg.

The weight of only D is less than C.

Weight
Heaviest
126kg
C
LightestD

E is heavier than A and lighter than G.

G is not the heaviest person.

Case 1Case 2Case 3Weight
Heaviest
GGG
EE126kg
AE
AA
CCC
LightestDDD

B is heavier than E and lighter than F.

Thus, Case 1 and Case 2 get cancelled.

Case 3Weight
HeaviestF
G
B126kg
E
A
C
LightestD

The difference between the weight of B and F is 25kg.

Weight of B = 126kg

Weight of F = 126 + 25 = 151kg

HeaviestF151kg
G
B126kg
E
A
C
LightestD

The weight of C is 31kg less than the weight of A.

Weight of B is 18kg more than the weight of A.

Weight of B = 126kg

Weight of A = 126 - 18 = 108kg

Weight of C = 108 - 31 = 77kg

HeaviestF151kg
G
B126kg
E
A108kg
C77kg
LightestD

This is the final arrangement.

Age of C = 77kg

C + E = 198kg

Age of E = 198 - 77 = 121kg

E + G = 263kg

Age of G = 263 - 121 = 142kg

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