* Obama says fiscal deal possible within a week * Spain bond sale disappoints; euro slips from 7-week high * Shares of Apple tumble more than 4 pct * U.S. data shows private sector hiring hit by storm By Leah Schnurr NEW YORK, Dec 5 (Reuters) - U.S. stocks rose in a choppy session on Wednesday after President Barack Obama said a deal to avert the looming fiscal cliff was possible within a week, while the euro slipped after a disappointing Spanish bond auction. Investors continued to keenly monitor any progress in talks to avoid the so-called fiscal cliff of year-end tax hikes and spending cuts. Obama said an agreement could be reached in a week if Republicans compromise on taxes. "Just the idea that we could have some kind of timeline is enough to eliminate some of the concerns," said Todd Schoenberger, managing partner at LandColt Capital in New York "The fiscal cliff is the headline driver, so anything even slightly positive will move markets." Still, both Republicans and Democrats dug in on the talks, urging quick action but still offering no compromises. Economists say the $600 billion in tax hikes and spending reductions that will start to go into effect at the beginning of next year could send the economy back into recession if politicians don't come to an agreement to avoid it. A more than 4 percent drop in shares of tech giant Apple constrained gains, and the Nasdaq fared worse than the other indexes. The euro fell after hitting a seven-week high against the dollar in early trading, stung by the disappointing Spanish bond sale and weak euro zone economic data. The euro was down at $1.31. "My theory is that this is the last week of an equity market rally, and therefore the last week of an euro/dollar rally," said Andrew Busch, senior currency strategist at BMO Capital in Chicago. Bond markets also reacted poorly to the auction, with Spanish 10-year yields rising to 5.42 percent after demand for the sale was below expectations. Euro zone experts still expect Madrid to request a sovereign bailout that would pave the way for the European Central Bank to buy its debt, but doubts have started to creep in again following a drop in tensions and yields in recent weeks. The Dow Jones industrial average gained 119.15 points, or 0.92 percent, to 13,070.93. The Standard & Poor's 500 Index added 6.29 points, or 0.45 percent, to 1,413.34. The Nasdaq Composite Index was off 12.32 points, or 0.41 percent, to 2,984.37. Apple was the biggest drag on the Nasdaq, giving up 4.6 percent to $549.24 as analysts cited factors such as increasing competition in the tablet market. The FTSEurofirst 300 index closed up 0.3 percent and, the MSCI index of world stocks rose 0.4 percent. A mixed batch of business and retail data showed euro zone shoppers cut back on spending by the biggest margin in six months in October, while purchasing manager figures pointed to another quarter of recession. "The economic data pretty much confirmed the (euro zone) economy is still in a very weak state," said Rabobank economist Elwin de Groot. In the United States, private payrolls processor ADP reported that private-sector employers added 118,000 jobs in November, fewer than expected as Superstorm Sandy took a toll on hiring, though activity in the service sector continued to expand. Wednesday's other main economic event in Europe came in Britain, where finance minister George Osborne warned that growth will be weaker than expected and that he will have to break a key debt promise. Britain's economy was now forecast to grow by only 1.2 percent in 2013, down from the 2 percent rate predicted in March.