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".