Logical Puzzles

12. There are two whole numbers, difference of their squares is a cube and the difference of their cubes is a square. These are the smallest possible numbers Can you find the numbers?
10 2 - 6 2 = 100 - 36 = 64 = 43
10 3 - 6 3 = 1000 - 216 = 784 = 282
13. It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey.
After lunch I returned to Bangalore. I drove for 90 minutes. How do you explain it?
There is nothing to explain here. The driving time there and back is absolutely the same because 90 minutes and 1 hour and 30 minutes are one and the same thing.

This problem is meant for inattentive readers who may think that there is some difference between 90 minutes and 1 hour 30 minutes.
14. It is a small town railway station and there are 25 stations on that line. At each of the 25 stations the passengers can get tickets for any of the other 24 stations.How many different kinds of tickets do you think the booking clerk has to keep?
At each station passengers can get tickets for any of the other 24 stations and,therefore the number of tickets required is 25 x 24 = 600.