Asian stocks dropped Tuesday, with China's main index tumbling more than 3 percent, as investors tread cautiously after a series of gains and looked for more signs of economic recovery. Japan's Nikkei 225 stock average lost 48.17 points, or 0.5 percent, to 10,532.88. The Shanghai Composite Index slid 105.53 points, or 3.5 percent, to 2,887.89, though the losses didn't have a severe impact on regional markets unlike the aggressive, worldwide selling that China's declines caused last week. Hong Kong's Hang Seng was off 1.1 percent at 20,307.41. South Korea's Kospi lost 0.3 percent, Taiwan's market edged down 0.3 percent and India's Sensex shed 0.3 percent. Australia's benchmark was flat.