[Tasks]
Rough automatic draft, low quality: expect mistakes and awkward wording. It will be replaced by a better translation. Original →
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The number given is 123456789101112…9899100. Cross out 150 digits from it so that the remaining number is the largest.
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A mirror hangs vertically on the wall. Its lower edge is at a height of 1 meter from the floor. How far away from the wall do you need to be to see your shoes in the mirror? We assume that a person’s eyes are at a height of 1.5 meters from the floor.
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There are 77 telephones. Is it possible to connect them in pairs so that each is connected exactly to 13?
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Prove that the product of four consecutive integers increased by 1 is a perfect square.
A. P. Savin
Editorial Head L. V. Chernova
Chief artist A. I. Klimanov
Art editor O. N. Yakovleva
Proofreader A. L. Ilatova
Publishing house “Science”
Main editorial office
physical and mathematical literature
Moscow, V-71, Leninsky Prospekt, 15
Tel. 234-08-11
Delivered on 23/VI 1971.
Signed into print on 20/VIII 1971.
Paper 70×100/16. Phys. oven l. 4.
Conditional oven l. 5.2. Academic ed. l. 5.69.
Circulation 266,690 copies. T-14324.
Price 30 kopecks. Order 1251
Chekhov Printing Plant Glavpolygraph-industry of the Printing Committee under the Council of Ministers of the USSR, Chekhov, Moscow Region
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