#31 - Mathematics Trivia Question
Can you think of any three dimensional shape that comprises of exactly two surfaces ?
A cone comprises of exactly two surfaces despite of the fact that it is a three dimensional figure.
#32 - Difficult Math Trivia Question
Can you find out the remainder when 3^300 is divided by 5?
3
It is obvious that it is not feasible to calculate 3^300 as it will take too much of time. So we will use a trick to solve the question. We will calculate the remainder of each power till we find a pattern.
3^1 divided by 5 leaves the remainder 3.
3^2 divided by 5 leaves the remainder 4.
3^3 divided by 5 leaves the remainder 2.
3^4 divided by 5 leaves the remainder 1.
3^5 divided by 5 leaves the remainder 3.
3^6 divided by 5 leaves the remainder 4.
As you can see that the pattern is now repeating itself and it will go on like this till 3^300 and beyond. Since every fourth remainder is same as the first, we will look for the power of 4 only. 300 is divisible by 4. Therefore at the power of 300, the first remainder will repeat itself and the remainder will be 3.
#33 - Hard Lateral Thinking Puzzle
Suppose we lay down two cups in front of you. One of the cups is filled with tea and the other one with coffee. Now we ask you to take a spoonful of tea and mix it with the coffee. At this moment, the coffee cup has a mixture of tea and coffee. You have to take that mixture (spoonful) and add it back to the tea.
Can you now tell if the cup of coffee has more tea or the cup of tea has more coffee ?
The fact is that both the amounts are same.
After the swap has been done, you must know that the quantity of liquid is same in both the cups as you have taken and mixed a spoonful only in both the cases. So, there is no change in the quantity of the liquids.
No if there is any tea missing from the tea cup, it is now in the coffee cup. Also, since the quantity is same, then the same amount of coffee must be missing from the coffee cup and is now in the tea cup.
#34 - Who Am I Trivia Question
The measurement of time
That cant be found on a clock
But can be looked upon on a map
Who am I ?
I am Mississippi.
(One Mississippi, Two Mississippi, Three Mississippi etc.)
#35 - Interesting Coin Riddle
A man comes across a coin that is dated 226 B.C. Can you calculate its worth ?
That coin is fake. This is because the B.C. and A.D. dating system was not invented till the year 525. Thus the worth of the coin is zero undoubtedly.
#36 - Short Geography Riddle
Do you know of a place where the wind blows south and then suddenly shifts direction towards the north ?
The place is the South Pole. Until the point the wind reaches the pole, it is going south but the moment it passes the pole, it is going north.
#37 - Trivia Maths FAQ Riddle
Given the numbers between 1 and 1 million, what is so special about the number 40 that it makes the number stand out of the crowd ?
The number 40 (Forty) is the only number which when written in English has all the letters in the same order as in the alphabets.
#38 - Mystery Number Riddle
Consider all the numbers between 1 and 1 million. Among all these numbers, there is something very special about the number 8 and the number 2202. What is it ?
If you start arranging the numbers alphabetically, the numbers 8 (eight) will come first and the number 2202 (two thousand two hundred and two) will come at last.
#39 - Fun But Hard Maths Riddle
How high will you have to count before you use the letter A?
One Thousand
#40 - Impossible Maths Number Riddle
We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube ?
There is no number other than 7 that is a prime followed by a cube.
To prove, let us assume that n3-1 is a prime for n.
N2-1 = (n^1)(n2+n+1)
Now, n-1 divides n3-1.
If n-1>1, then we are done as it is a contradiction to n3-1 being a prime.