Can you find a number that lies one third of the distance between 1/3 and 2/3?
Let us find a bigger multiple first. Lets multiply the numerator and denominator by 9 in both the numbers.
Now, 1/3 = 9/27
And, 2/3 = 18/27
Clearly, 12/27 lies one third on the distance between the two numbers now.
A solo dice game is played. In this game, upon each turn, a normal pair of dice is rolled and the score is calculated not by adding the numbers but multiplying them.
It is observed that in a particular game, the score for the second roll is five more than what was achieved in the first roll. The score for the third roll is six less than what was achieved in the second roll. The score for the fourth roll is eleven more than what was achieved in the third roll. The score for the fifth roll is eight less than what was achieved in the fourth roll.
Can you calculate the score for each of the five throws ?
Score for the first roll - 10
Score for the first roll - 15
Score for the first roll - 9
Score for the first roll - 20
Score for the first roll - 12
You are given four following results:
1111 = F
2222 = E
3333 = T
Then, can you find out how to code 4444 ?
sixteen
It is simple.
1 + 1 + 1 + 1 = Four
2 + 2 + 2 + 2 = Eight
3 + 3 + 3 + 3 = Twelve
4 + 4 + 4 + 4 = Sixteen
A newly wed couple went for hiking trip outside the country. After two days, the wife returned and informed the police that her husband fell while hiking and could not survive. Police registered the case. The next day, they returned to her home and arrested her. On asking why they were arrested her, the police told her that her travel agent had called and they are arresting her for the murder of her husband.
How do you think the travel agent knew about the murder ?
The travel agent informed the police that she had booked two tickets for the departure but only a single ticket for the return.
You are given the sum of symbols in each row and column in the attached figure. Analyzing the figure, can you find out the value of the symbols?
Value of Circle is 3
Value of Star is 5
Value of Triangle is 4
Below, you will find the mathematical proof that 10 equals 9.99999…. But is that possible or there is something wrong about it? Can you find the error?
x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10
No error is present in this proof and 10 is actually equal to 9.99999…. The proof is absolutely correct.
You have $100 with you and you have to buy 100 balls with it. 100 is the exact figure and you cant go below or above the numbers and you have to use the entire $100. If there is no kind of tax applied how many of each of the following balls will you be able to buy:
Green Balls costing $6
Yellow Balls costing $3
Black Balls costing $0.10
Now, how many of each must you buy to fulfill the condition given?
1 green ball = $6
29 yellow balls = $87
70 black balls = $7
Detailed Explanation :
Let us denote the number of balls to be brought with a variable
p = green sponges
q = yellow sponges
r = black sponges
Now using a simple expression:
p + q + r = 100
6p + 3q + 0.1r = 100
Multiplying the first equation by 6 then 3 and subtracting the two equations, we get:
6p + 6q + 6r = 600
3p + 3q + 3r = 300
3q = 500 - 5.9r
3p = 2.9r - 200
Usually, we have three equations to solve three variables. However, we will manage with just two here because we know that p and q are non-negative integers.
If 3q >/= 0, then 500 - 5.9r >/= 0.
Using this, r
Also, if 3p >/= 0, then 2.9r - 200 > 0. This implies that r >/= 68.97.
Now, the number of black balls must be an even dollar amount or we will land up with a fraction. Considering the expressions, you know that there can be just two integers that can satisfy the condition while lying in between 68.97 and 84.75.
If we take r as 80 and solve the equations (the last two equations), we will get p = 10.67 and q = 9.33. But p and q must be integer and not fraction. Thus you can cancel out 80.
If we take r as 70, we will get p = 1 and b = 29.
Therefore following are the number of balls that we must buy:
1 green ball = $6
29 yellow balls = $87
70 black balls = $7
A man is approaching a broad and barren land. He has a package with him. If somehow, he is unable to open the package before reaching the land, he will die.
Can you guess what is present in the package?
The package contains a parachute and he has doing air diving.
An equation has been laid down using a few matchsticks. However, as you can see, the equation is not correct. Can you correct the equation if you are allowed to add or remove 5 matchsticks?
As you can see in the answer figure, the equation stands true now. Compare the images to know what we have done.
A Japanese ship was en route to a mission in foreign seas. The captain of the ship felt tired and thought of taking a bath. He went for taking the shower and removed his diamond ring and Rolex and kept them on the table. When he returned after taking the bath, he found that the ring and watch were stolen.
He called the five members of the crew whom he suspected and asked them what they were doing for the last 15 minutes.
The Italian cook (with a butcher knife in hand): I was in fridge room getting meat for cooking.
The British Engineer (with a high beam torch in hand): I was working on generator engine.
The Pakistani seaman: I was on the mast correcting the flag which was upside down by mistake.
The Indian Radio officer: I was trying to make a contact with the company to inform them about our position.
The American navigation officer: I am on night watch, so I was sleeping in my cabin.
Upon listening to them, the captain caught the lying member. Who do you think stole the valuables?
The Pakistani seaman is lying. This is because the Japanese flag looks the same upside down. There was no need to correct it and thus he is plainly lying.