Out of six objects, A, B, C, D, E, and F, D is twice as heavy as B. C's weight is half that of E. B and E together are one and a half times as heavy as A. A is one and a half times as heavy as D. F is one and a half times as heavy as C. Who is the heaviest among them?

Out of six objects, A, B, C, D, E, and F, D is twice as heavy as B. C's weight is half that of E. B and E together are one and a half times as heavy as A. A is one and a half times as heavy as D. F is one and a half times as heavy as C. Who is the heaviest among them? Correct Answer E

Given:

Six objects: A, B, C, D, E, and F.

1. D is twice as heavy as B.

let, the weight of B = 10 Kg, D = 10 × 2 = 20Kg.

2. A is one and a half times as heavy as D.

→ A = D × 1.5 → 20 × 1.5 = 30Kg.

3. B and E together are one and a half times as heavy as A.

→ B and E = A × 1.5 → 30 × 1.5 = 45 Kg.

→ Here, Weight of B = 10 Kg,

→ B + E = 45 Kg.

→ 10 + E = 45 Kg.

→ E = 45 - 10 = 35 Kg.

4. C's weight is half that of E

→ C = 35/2 = 17.5 Kg.

5. F is one and a half times as heavy as C.

→ F = C × 1.5 → 17.5 × 1.5 = 26.25 Kg.

Now, arrange them according to their weight in descending order:

E > A > F > D > C > B

So, the heaviest among them is E.

Hence, the correct answer is "E".

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