Authorities moved more than 45,000 people in earthquake-hit Tibet to shelters in a massive rescue operation at the foot of the Himalayas as they wound down the search in a high-altitude environment where the odds of survival were always slim.

A strong earthquake killed at least 95 people in Tibet on Tuesday and left many others trapped as dozens of aftershocks shook the high-altitude region of western China and across the border in Nepal.

BEIJING — A strong earthquake shook a high-altitude region of western China and areas of Nepal on Tuesday, damaging hundreds of houses, littering streets with rubble and killing at least 95 people in Tibet. Many others were trapped as dozens of aftershocks shook the remote region.