Tantalizer 440: Grunt
28 November 2018
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From New Scientist #991, 11th March 1976 [link]
Grunt is an after-shave lotion so maddening to women that the wearer can count on at least a broken leg in the rush. How curious then that some mad males are still using Phew. The makers of Grunt are so puzzled that the recently hired Judy the judo champion to look into it.
Judy soon discovered that she found both products equally repellant. So she decided she had better work scientifically. Boarding a strike-bound London bus, all of whose passengers were male, she set to with a questionnaire. Each passenger in turn informed her, “I am using Grunt myself. The man you have just asked is using Phew”. Each, that is, except the first man, who said only, “I am using Grunt”, but added afterwards, “The last man you asked is using Phew”.
Puzzled herself, Judy then asked a few selected passengers how many men were using Phew. The ugliest man said “19”, and then man she had originally interviewed next but three after him said “24”. The fattest said “13” and one she had originally interviewed next but four after him said “28”. The rudest said “24”, and the one she had originally interviewed next but five after him said “13”.
Given that each man used one of the other and that all and only those using Grunt told the truth, can you say how many were using Phew?