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Actually: only if index units are moment/constant and the constant is the same. Let’s test option a: DOI 114.8.

Crew added index = 114.8 – 112.4 = 2.4. Then 2.4 = (410 × arm)/CF → CF = (410 × 142)/2.4 ≈ 24,258 — not round.

? No — wrong; Index is not average.

Crew index = (410 × 142) / 1000 = 58.22 → but that’s too large.

Therefore, this question uses a . But in the real EASA bank, they predefine that the Dry Operating Index is directly given by loading table or simple addition of mass and index using: easa atpl question bank

Given BEM index = 112.4 at 34,560 kg. Crew: Mass 410 kg, arm 142.0. To add index, use: Added Index = (Mass × Arm) / (Reference constant) ? Wait — in EASA questions, often the index is a simple moment / 1000 or moment / 100,000 . We must deduce the Index Unit (IU).

Now crew moment = 410 kg × 142.0 m = 58,220 → Crew Index = 58,220 / 10,000 = 5.822 ≈ 5.8. Actually: only if index units are moment/constant and

From BEM: Index 112.4 at 34,560 kg implies: Index = (Mass × Arm) / 1000? Let’s check: (34,560 × Arm_BEM)/1000 = 112.4 → Arm_BEM = (112.4 × 1000) / 34,560 ≈ 3.25 — impossible (too small). So not /1000.