When the great mathematician Ramanujam was in the UK, he once left his suitcase in a cab. His friend Hardy offered to help him trace the cab and called up the transport service. Incidentally, Ramanujam could not recollect the exact number of the cab but remembered a peculiar fact about the cab number. The number was a perfect square, and when read upside down, still made a perfect square.
Hardy called the cab company, and they told them that they had a flight of 400 cabs, numbered 001 to 450. Ramanujam, being a prodigy, immediately used this information to figure out the cab he had traveled in.
Can you guess what was the number on the cab that Ramanujam had left his suitcase in?
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3
Answer:
The story of the number 1729 goes back to 1918 when Indian mathematician Srinivasa Ramanujan lay sick in a clinic near London and his friend and collaborator G.H. Hardy paid him a visit. Hardy said that he had arrived in taxi number 1729 and described the number “as rather a dull one." Ramanujan replied to that saying, “No, Hardy, it’s a very interesting number! It’s the smallest number expressible as the sum of two cubes in two different ways."
Ramanujan, in his ailing state saw that 1729 can be represented as
1³ + 12³ = 1 + 1,728 = 1,729
9³ + 10³ = 729 + 1,000 = 1,729
Answered by
2
Answer:
196 is the required answer
Step-by-step explanation:
when upside down 196 becomes 961 which is a perfect square of 31
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