Question : Directions: Among five objects E, F, G, H, and K, the weight of H is 3 times the weight of K. The weight of G is 7.5 kg. The weight of E is twice the weight of F. The weight of K is 4 times the weight of G. If the weights of F and G are equal, then which is the second heaviest object?
Option 1: K
Option 2: H
Option 3: E
Option 4: F
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Correct Answer: K
Solution :
Given:
(I) Among five objects E, F, G, H, and K, the weight of H is 3 times the weight of K.
H = 3K
(II) The weight of G is 7.5 kg.
G = 7.5kg
(III) The weight of E is twice the weight of F.
E = 2F
(IV) The weight of K is 4 times the weight of G.
K = 4G
(V) If the weights of F and G are equal.
F = G
Now according to the given instructions:
K = 4G = 4 × 7.5 = 30 kg, H = 3K = 3 × 30 = 90 kg, F = 7.5 kg, E = 2F = 2 × 7.5 = 15 kg
⇒H > K > E > F = G
So, K is the second heaviest object. Hence, the first option is correct.
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