Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

Can you find out the remainder when 3^300 is divided by 5?

Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?

What's a single-digit number with no value?

We have arranged an array of numbers below. What you have to do is use any kind of mathematical symbol you know excluding any symbol that contains a number like cube root. You can use any amount of symbols but you have to come up with a valid equation for all of them.

0 0 0 = 6
1 1 1 = 6
2 + 2 + 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

In a town, there are four houses located at different distances from each other. Following are the distances:

The third house is 60 meters apart from the first house.
The fourth house is 40 meters apart from the second house.
The third house is 10 meters nearer to the fourth house than it is to the second house.

Can you find out the distance between the fourth and the first house?

In the image below, can you find the value of an angle(y)

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211