Mumbai, April 10 Britain’s Duke and Duchess of Cambridge played a charity cricket match with underprivileged children in Mumbai on Sunday, the first day of a week-long tour of India that will include a trip to the isolated Himalayan kingdom of Bhutan. Prince William and his wife Kate Middleton flew into India’s financial capital and met children from Magic Bus, Childline and Doorstep — three non-governmental organisations that work with children. They took an open-top bus tour and played a cricket match with a team from a local cricket academy and kids backed by the three charities. Kate, in sunglasses and a red, white and blue summer dress, faced a few deliveries from Indian cricket legend Sachin Tendulkar. She struck one ball only to be caught out, leading to a lively exchange between William and the fielders. William and Kate’s tour takes in New Delhi, where they will lunch with Prime Minister Narendra Modi, a wildlife park in Assam famed for its one-horned rhinos, and Bhutan. Their tour ends back in India next Saturday at the Taj Mahal, revisiting the scene of a solo — and much photographed — visit in 1992 by William’s mother, the late Princess Diana, to the monument to love.