And 'Ganesh's Puzzles' doesn't have a subtitle anymore.

Problem #k+1
In a University, a student has to take necessarily Physics, Chemistry or Mathematics. The students are permitted take any two of them or even all the three of them. If 85 students take Physics, 65 students take Chemistry, 100 students take mathematics, 30 students take both Physics and Chemistry, 40 students take both Physics and Mathematics and none of the students take Chemistry and Mathematics or all three of them, how many students are there in the University?

Problem #k+2

I have a certain number of eggs in my store.
If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be two eggs left.
If you divide the number of eggs by 4 there will be three eggs left.
If you divide the number of eggs by 5 there will be four eggs left.
If you divide the number of eggs by 6 there will be five eggs left.
If you divide the number of eggs by 7 there will be six eggs left.
If you divide the number of eggs by 8 there will be seven eggs left.
If you divide the number of eggs by 9 there will be eight eggs left.
If you divide the number of eggs by 10 there will be nine eggs left.

If you divide the Number of eggs by 11 there will be NO EGGS left!
What is the minimum number of eggs I can have in my store?

Problem #k+4

A polyhedron has 12 faces(sides) and 18 edges. How many vertices does it have?

the post got really strange...

what happened to the old problems before the forum got hacked?

Solution to problem#k+3 : kylekatarn is correct.

Problem # k+5

Use each digit 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly once to form two five-digit numbers that when multiplied produce the largest quantity.

Thats what I thought of immediately on seeing the problem!
I am not saying you're correct, I'm not saying you're wrong....
I leave the problem open for some days

Problem # k+7

Mike and Jim attempted to solve a quadratic equation. Mike
made a mistake in writing down the constant term. He ended up with the
roots (4, 3). Jim made a mistake in writing down the coefficient of x. He
got the roots as (3, 2). What are the roots of the original quadratic equation?

mathisfun, is it possible to implement the [img]tag inside the [hide]tag?? It would be very usefull...

MathsIsFun wrote:

I know I have to sit down and make that [hide]tage work properly ... maybe I will get a chance in the next few days.

Nice work on the solution kylekatarn, that was some silly mistake they made! (BTW b'=-5 I think)

Thank you mathisfun. b' is indeed -5!! silly me:)

I uploaded the GIF with corrected solution.
Thanks again.

The solution to problem # k + 7 given by kylekatarn is correct.
The sum of the roots is 7 and their product is 6.

Problem # k+8

In a number system the product of 44 and 11 is 2124. The
number 3111 of this system, when converted to the decimal number system, becomes____________.