By Saqib Iqbal Ahmed NEW YORK (Reuters) -The dollar rose against a basket of currencies on Tuesday as a slew of fresh economic data highlighted the strength of the U.S. economy relative to the United Kingdom and the European Union. U.S. business output ticked higher in October as the manufacturing sector pulled out of a five-month contraction on a pickup in new orders, and services activity accelerated modestly amid signs of easing inflationary pressures, S&P Global said on Tuesday. It was the latest sign the U.S. economy is withstanding the surge in interest rates, spurred by the Federal Rese…