My usage guide wasn't overwhelmingly helpful on this, but here's how I think about the issue:

One meaning of claim is "to assert ownership of." For example: "I have come to claim my prize." The meaning: I have come to assert ownership of the prize. This construction proceeds as follows: claim + noun.

Another meaning of claim is "to assert as fact." For example: "He claimed that he could eat 100 hot dogs in a minute," or "he claimed to be able to eat 100 hot dogs." The meaning: he asserted as a fact that he could eat 100 hot dogs in a minute. This construction proceeds as follows: claim +"that clause" or claim + "infinitive phrase."

The problem with the clause "He claimed the ability," is that the construction is claim + noun, but the typical meaning with that construction is "to assert ownership of." I suppose one could debate whether "He asserted ownership of the ability," is sensible, but it certainly seems to make more sense to write "he claimed to be able..." (asserted as a fact that he was able...)

Hi Experts ,

Can you please give me a reason to eliminate option A.

Also please tell the difference between able to and ability to

Thanks...

Hi Experts ,

Please give some shed on my doubt .

Much thanks in advance.

in a and e
ability and being able do not refer to the subject grammatically and so become not logic.

very nice and hard question.