Can you find a number that lies one third of the distance between 1/3 and 2/3?

A mathematics teacher took exams for his students. Out of the total students, 25% passed both the tests included in the exam. However, only 42% were able to clear the first test.

Can you find out the percentage of those students who passed the first test and also passed the second test?

Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognises the three as friends and asks the waiter to return $5 to the men.

The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself.

Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14. Where has the other $1 gone from the original $15?

How will you measure 15 minutes using two hourglasses of 7 minutes and 11 minutes respectively?

Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?

No matter how little or how much you use me, you change me every month. What am I?

A few friends are enjoying their sea voyage in a boat full of apples. On the way, they felt hungry and thus decided to eat the apples. Together, they ate two dozen of apples. When they have eaten the apples, will there be any change in the water level?

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?

I noticed one of the words in the oxford dictionary is spelled incorrectly. What about you?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------