AMSTERDAM—Dutch opposition parties presented a no-confidence motion in caretaker Prime Minister Mark Rutte on April 1 and accused him of lying in public about what he had privately discussed during talks to form a Cabinet, presenting the biggest challenge to his leadership in a decade. Rutte was the clear winner of the March 17 parliamentary elections that were seen as a referendum on his handling of the coronavirus pandemic crisis. Losing a vote of confidence would cripple his ability to form a new government. It wasn’t clear whether centrist parties in Rutte’s previous coalition, who are likely to participate in any new coalition, would continue to support him. A debate over the situation appeared likely to last into the early hours of April 2. The crisis arose on April 1 after Rutte acknowledged having privately discussed what job should go to a prominent member of Parliament who had been critical …