#451 - Fold The Cube Puzzle
Can you find out if we fold this open cube, what will be the resulting figure?
The resulting figure will be C.
#452 - 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.
#453 - Quick Fire Maths Question
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.
#454 - Tricky Math Trivia Question
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
#455 - Measuring Water Aptitude Interview Quest
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
#456 - Two Identical Picture Puzzle
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.
#458 - Popular Whatsapp Mystery Question
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.
#459 - Smart Logic Question
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.
#460 - Simple But Tricky Math Questions
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.