The Rupee opened flat on Friday and hold a narrow range after U.S. inflation data did not have much of an impact on the Federal Reserve near-term interest rate outlook. U.S. September headline and core inflation rose more than expected while U.S. initial jobless claims jumped, data on Thursday showed, further complicating the debate on whether the Fed will cut rates at its November meeting or be on hold. The rupee was in a three-paisa range on Thursday, and through this week that range has been just six-paisa. Equity outflows, weakness in Asian peers and the rise in oil prices due to the Middle East conflict are weighing on the rupee. On the other hand, the Reserve Bank of India (RBI) is making sure that rupee does not decline past the 84 handle.In the wake of the data that suggested that prices pressures persisted and the labour market may be softening, investors do not have further clarity on what the Fed is likely to do next. The odds of whether the central bank will opt for 25-basis-point rate cut or leave rates are unchanged from before the data was released.The U.S. dollar fell from two-month highs hit overnight versus its major peers after signs of weakness in the labour market boosted the case for quicker Federal Reserve rate cuts. vDespite that, the dollar on Friday remained on track for a second straight weekly advance after surprisingly strong monthly payrolls figures last week prompted traders to take bets for a half-percentage-point cut at the Fed's next policy meeting off the table. The dollar index , which measures the currency against six peers, was flat at 102.84 as of 0111 GMT, but down 0.3% from 103.17 on Thursday which was its highest level since Aug. 15. For the week, the index is on track for 0.39% advance, building on the previous week's 2.06% surge. The two-year U.S. Treasury note yield , which typically moves in step with interest rate expectations, fell on the day, and was down at 3.9531% early on Friday, keeping the dollar under pressure. The dollar added 0.06% to 148.68 yen , inching back towards Thursday's high of 149.58 yen, a level previously not seen since Aug. 2. The euro was steady at $1.093650 after bouncing back overnight from a two-month low at $1.090025. Oil eased on Friday after a rally the previous day, but prices remained set for a second straight weekly gain as investors weighed the impact of hurricane damage on U.S. demand against any broad supply disruption if Israel attacks Iranian oil sites. Brent crude oil futures fell 39 cents, or 0.5%, to $79.01 a barrel by 0152 GMT. U.S. West Texas Intermediate crude futures dropped 32 cents, or 0.4%, to $75.53 per barrel.......