<P> Poirot proposes two possible solutions: either that a stranger boarded the train and murdered Cassetti, or that every one of the passengers, who had a connection to the Armstrongs, had all conspired to kill Cassetti together . The ostensible Mrs. Hubbard, in fact Daisy Armstrong's grandmother, the famous actress Linda Arden, confesses the truth of the second solution, yet M. Bouc and Dr. Constantine choose to present the first of the two to the Yugoslav police . </P> <P> The Times Literary Supplement of 11 January 1934 outlined the plot and concluded that "The little grey cells solve once more the seemingly insoluble . Mrs. Christie makes an improbable tale very real, and keeps her readers enthralled and guessing to the end ." </P> <P> In The New York Times Book Review of 4 March 1934, Isaac Anderson wrote, "The great Belgian detective's guesses are more than shrewd; they are positively miraculous . Although both the murder plot and the solution verge upon the impossible, Agatha Christie has contrived to make them appear quite convincing for the time being, and what more than that can a mystery addict desire?" </P> <P> The reviewer in The Guardian of 12 January 1934 noted that the murder would have been "perfect" (i.e., a perfect crime) had Poirot not been on the train and also overheard a conversation between Miss Debenham and Colonel Arbuthnot before he boarded; however, "The' little grey cells' worked admirably, and the solution surprised their owner as much as it may well surprise the reader, for the secret is well kept and the manner of the telling is in Mrs. Christie's usual admirable manner ." </P>

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