Cairo, Dec 10 (Reuters) - A consortium consisting of Qatar Energy and ExxonMobil (XOM.N) has signed an agreement with Cyprus for energy exploration and production sharing in Block 5 in the southeast of the island, Qatari News Agency said on Friday. Under the agreement, Qatar Energy will own a 40% stake in Block 5 while ExxonMobil will own 60% and be the operator in the area, the agency added.