A ship is sailing in the water. It has a rope ladder hanging over its side. The rungs are 355 mm apart. Suppose if the water is rising one meter every 12 hours, how many rungs will be underwater after one day ?
It does not matter how much apart are the rungs as no matter at how much speed the water level rises, none of the rungs will go underwater. This is because with the water level rising, even the ship will be rising. Thus none of the rungs go underwater.
As you can see that fifteen matches have been used to form an arrangement. What you have to do is remove any six of them to make them ten.Can you do that?
Look at the image and see how we did it.
The below given figure comprises of a pattern through which you can determine the missing letter. Can you push your mind to find the pattern and add the missing letter?
The missing letter is Q.
If you add the three numbers on each square, the value corresponds to the equivalent alphabet in the center. For example 6 + 4 + 4 = 14 and N is the 14th letter. Similarly 14 + 2 + 1 = 17 or the letter Q.
Can you find out if we fold this open cube, what will be the resulting figure?
The resulting figure will be C.
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.
In a science lab, a petri dish hosts a healthy colony of yeast for an experiment. Now every minute, all the yeast cells divide into two. At noon, there was just a single cell of yeast and at 1:22, the Petri dish was half full. Can you calculate when the dish will be full of yeast?
Since at every minute, the cells of yeast are multiplying into two and at 1:22, the dish was half full, it will become full the very next minute i.e. at 1:23.
Can you find out which triangle will have a bigger area among the following?
1. A triangle with sides 300, 400 and 500
2. A triangle with sides 300, 400 and 700
1st
The first option will have a bigger area. This is because the second triangle is not possible.
According to the formula:
Side 1^2 + Side 2^2 = Side 3^2
You have a 12 liters jug full of water. You have two empty 8 liters and 5 liters jug. Now can you divide the water into two equal parts using these jugs?
12l 8l 5l
12 0 0
4 8 0
0 8 4
8 0 4
8 4 0
3 4 5
3 8 1
11 0 1
11 1 0
6 1 5
6 6 0
Out of the nine cats that you can see in the picture, there are only two that are completely identical. Can you find them out?
Cats 2 and 4 are identical match. In the picture you can find out how.
