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.
A girl was standing near the window thinking something. All of a sudden she decides something and throws something out of the window. She dies very soon after throwing it. She was perfectly healthy and had no disease or allergy. No one killed her and she did not commit suicide.
Can you think of any possible explanation that is logical as well for what happened there?
The girl decided to throw a boomerang out of her window. The boomerang went to the maximum distance it could and then returned back with high velocity. It struck her head and due to the internal injury, she died on the spot.
One day, a class teacher was told that the school superintendent will be visiting her class on the next day. The superintendent can ask questions from anywhere and it can be easy as well as difficult. The teacher will have the liberty to choose any pupil for answering the question.
Now she is determined that the impression that is cast upon the superintendent after the inspection should be great. How will she instruct the students so that she maximizes the chances of receiving a correct answer for each question? Also, she must create the best impression. How will she do it?
It is quite simple a task. The teacher asked all her students to raise their hands on every question. However, those students who knew the right answer were asked to raise their left hand and those who did not know were asked to raise their right hand. In this manner, she would know who knows the correct answer and will pick the students accordingly. Also, since everybody will raise their hands, the final impression will be great.
Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
The cars maintain their speed till the leading car catches up with the last car and then every car stops. In this scenario, do you think of any point when the distance between any two pairs will again be x miles i.e. the pairs will be x distance apart at the same time ?
Not Possible
As per the question, the middle car is running right now approximately at 50 MPH. Therefore, with time, the distance between them will keep increasing by x miles every hour for a certain time. After that, it will start decreasing between the leading car and the last car till they meet.
Therefore, you will find no point where the distance between the cars is x miles again.
I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:
First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.
Can you find out the number ?
The number is 3816547290
Can you think of any number that if divided in half, becomes zero?
8 is the required number.
Chop it up in the middle and you will get either half as zero.
One night, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.
I am not sure if this process will always result in a palindrome eventually but I was able to produce a four digit palindrome. Can you guess my starting number?
My starting number was 192.
192 + 291 = 483
483 + 384 = 867
867 + 768 = 1635
1635 + 5361 = 6996
