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Spider's Web by Agatha Christie
(adapted as a novel by Charles Osborne)
Paperback
back reads:
Clarissa, the young wife of a foreign office diplomat, delights in tweaking the sensibilities of her more serious friends by playing a game she calls "supposing" - imagining a difficult situation and finding out how people would respond. But Clarissa's lighthearted game becomes deadly serious when she discovers the body of an unknown person in her own dressing room. If that weren't bad enough, her husband is on the way home with an important foreign politician. Clarissa decides to dispose of the body and persuades her three house guests to help. But before she can get the corpse off the premises, a policeman knocks on her front door. Now Clarissa must keep the body hidden, convince the skeptical police inspector that there has been no murder, and, in the meantime, find out who has been murdered, why, and what the body is doing in her house...