Puzzle - Part 1

Question 1: When Vinoth looked at the clock yesterday morning, it showed a quarter to 10. It then ran backward for 14 hours, 6 minutes, and then forward for 5 hours, 53 minutes, and finally backward again for 10 hours, 41 minutes.

Vinoth’s clock is a standard 12-hour analog clock.
What time will the clock now show?

Question 2: Raju’s Uncle Siv gave him 2 mouse, which he named Ram and Rani. But Raju discovered that he made a big mistake. Raju should have been named priya. She just had 8 babies — 4 males and 4 females!

“Ten mice aren’t so many,” said Raju to his mother. “And they’re cute.”

“Yes,” said his mother, “but these cute baby mice can breed when they are 6 weeks old. The babies are born after 3 weeks of pregnancy.”

If each female mouse has only 1 litter and all the litters have 8 babies, half males and half females, how many mice will Raju have in 18 weeks?
















Answer 1:

The clock will show 2:51, or 51 minutes after 2.

In considering time, we have to think in units of 12 (hours) and 60 (minutes).

The clock showed 45 minutes after 9 when Randy first checked it.

After the first 12 hours of the 14 hours and 6 minutes of running backward, the clock was back at 45 minutes after 9. Then it ran back an additional 2 hours and 6 minutes to 39 minutes after 7.

After running forward for 5 hours and 53 minutes, the clock showed 32 minutes after 1.

After going backward again for 1 hour, the clock showed 32 minutes after 12. Then, after it ran back the remaining 9 hours and 41 minutes, it showed 51 minutes after 2.

Answer 2:

After 18 weeks there will be a total of 170 mice.

Each of the 4 young females just born will have 8 babies in 9 weeks, making 32 babies; 16 of the babies will be male and 16 will be female.
The 16 females in those litters will have 8 × 16 = 128 babies.
In 18 weeks, Marco will have the 2 original mice (Whiskers and Oscarella) + 8 babies + 32 babies + 128 babies = 170 mice.
That's a lot of mice!