ALASTAIR COOK'S appetite to lead England to the World Cup remains undiminished, despite their most chastening defeat yet as India wrapped up the Royal London Series a match early.

Only a near unmissable catch by the captain himself, to end Ajinkya Rahane's fun on a mere 106, stopped England losing by 10 wickets at Edgbaston. The hosts mustered only 206 all out, despite Moeen Ali's 67, and were then powerless with the ball as Rahane and Shikhar Dhawan (97no) put on 183 for India's first wicket in a chase that lasted only 30.3 overs.

It is hard to imagine a more one-sided contest and, after India had gone 3-0 up to inflict England's fifth series defeat in their last six, pointed questions about Cook's future as one-day international captain were all too predictable. As in this summer's Test series against India, which he eventually helped to turn round 3-1 in England's favour, Cook did not shirk the inquiries - and made it clear he intends to stick around for the World Cup in Australia and New Zealand early next year.

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Asked that very question, he said: "If I'm allowed to be, yes. I don't have a say on selection, but I've captained for three-and-a-half years with the goal to try to win the World Cup in Australia. I know that seems a bit far-fetched at the moment when we're losing games of cricket, but there're a lot of really good players in that changing room.

"If we can improve at the rate we need to improve, we've got a chance and that's what we have to believe in. I know when you lose games of cricket, no one [else] does, but in the dressing room we have to."

For the third successive match, England were not just beaten but trounced. "It was a tough performance to take, to lose by nine wickets," Cook added. "We were behind the game very quickly and we never got back into it. They're playing better than us at the moment and they're the No.1-ranked side in the world for a reason.

"They're the benchmark and 50-over champions as well. So we're testing ourselves against a very good side and coming up very short."

England's next assignment is to try to avoid a series whitewash at Headingley on Friday. "It's a really tough place at the moment, but it's amazing how quickly you can turn around," said their captain.

"We've got to stay true to our beliefs as a team and actually the belief you have as a player, because when you lose games of cricket people chip away at you and you start doubting the reason why you probably got selected in the first place.

"Maybe for a few of these guys, it's the first time it's happened that we've lost as badly as this and it's a true test of character for the whole team, really."