Question

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?
Your Answer
a) 189
b) 214
c) 196
d) 178​

Answer 1

Answer:

196

Step-by-step explanation:

by observing the numbers from 001 to 450, we get to know 196 is a perfect square of 14 and it's upside down number 961 (read it 196 upside down)

so, Ramanujam left his suitcase in cab number 196

i hope it helps to VOTE if it does please mark brainliest

Answer 2

Given : The number was a perfect square, and when read upside down, still made a perfect square.

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.

To Find : Number of the cab

Solution:

cab numbered from 001 to 450

perfect square  

001  , 004  , 009 , 016 , 025  , 036 , 049 , 064 , 081  , 100  , 121 , 144 ,

169 , 196 , 225 , 256 , 289 , 324  , 361  , 400 ,  441  ,

Numbers can be read upside down  with digit  0 1 , 6 , 8 and 9  only.

001  -  100  Perfect square

009  - 600   not perfect square

016   - 610   not perfect square

081  - 180   not perfect square

100   - 001   perfect square

196  - 961      Perfect square

We got three options:

001  -  100  Perfect square

100   - 001   perfect square

196  - 961      Perfect square

in first 2 options he can not identify that number was 001 or 100

But in last option number was 196   as   961 can not be the number of the cab as max number is 450.

Hence 196  was the cab number

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