LOGIC
You have 100 coins, 99 of which are fair. One coin is counterfeit and has heads on both sides. You randomly pick a coin and flip it. It comes up heads. What is the probability that the coin you chose is the counterfeit one?
1/100
What number comes next in this sequence : 4, 10, 16, 22, ?
28
What do we use to measure angles?
Protractor
What does HTML stand for?
HyperText Markup Language
How many states are in the U.S.A.?
50
A man is looking at a portrait and says, "Brothers and sisters I have none, but that man's father is my father's son." Who is he looking at?
His son.
Solve the equation: (x-3)2/16 - (x-2)2/4 = (1-x)/2
x=5, x=1
How many endpoints does a ray have?
1
What is an operating system?
Software that manages computer hardware and software resources.
What planet has the most moons?
Jupiter
You are in a dark room with a drawer containing 12 red socks and 12 blue socks. What is the minimum number of socks you must pull out to guarantee you have a matching pair?
3
An urn contains five blue marbles, four red marbles and six yellow marbles. We want to take one marble from the urn. What is the probability of taking a red or a yellow marble?
2/3
sina=12/13, find cota
5/12
Explain the difference between RAM and ROM.
RAM is volatile (data is lost when power is off) and used for active processes. ROM is non-volatile and stores permanent instructions.
What is the most common element in the human body?
OXYGEN
A group of explorers finds a hidden cave. Inside, they find a room with three doors. One door leads to a fiery dragon's lair, another to a room flooded with poisonous gas, and the third to a room with a magnifying glass that focuses the sun’s rays to instantly ignite anything combustible. Each door has a sign. The signs read: Door 1: "This door leads to safety." Door 2: "This door does not lead to the dragon's lair." Door 3: "This door leads to the gas chamber." Only one sign is true. Which door should the explorers choose?
Door 2. If Door 1's sign were true, then Door 2's would also be true, violating the rule. If Door 3 were true, Door 2 would also be true, which is impossible. Therefore, Door 2's sign is true, meaning it doesn't lead to the dragon. Since Door 3's sign is false, it actually leads to the gas chamber. That leaves Door 2 as the safe option.
Find the domain and range of trigonometric function: y=tan(pi/3+x)
D is all real numbers - {pi/6+pi*k}
E is all real numbers
The ratio of the areas of two similar triangles is 4/9 and the perimeter of the smaller triangle is 12 cm. Find the perimeter of the bigger triangle.
18 cm
What is a firewall?
A network security system that monitors and controls incoming and outgoing network traffic based on predetermined security rules.
In which state is Harvard University located?
Massachusetts
You have two hourglasses, one measuring 7 minutes and the other 11 minutes. How can you measure exactly 15 minutes using only these two hourglasses?
1. Start both hourglasses. 2. When the 7-minute hourglass runs out, flip it over. 3. When the 11-minute hourglass runs out (4 minutes after the 7-minute hourglass was flipped), the 7-minute hourglass will have 3 minutes of sand left. Flip the 7-minute hourglass over again. 4. When the 7-minute hourglass runs out again (7 minutes after the last flip), a total of 15 minutes will have passed (11 minutes + 4 minutes).
Solve the equation: cos5x-cos3x=0
1) x=pi*n/4
2) x=pi*k
Triangle ABC is an isosceles right triangle such that AB = BC = 4 cm. P is a point not in plane (ABC) and M is the midpoint of AC. If PB perpendicular to AB, PB perpendicular to BC and PB = 2sqrt(2) cm, find PM.
4 cm
Explain the concept of a database and give an example of a database management system.
A database is an organized collection of structured information, or data, typically stored electronically in a computer system. Example: MySQL, PostgreSQL, Microsoft SQL Server.
Which is the smallest country in the world?
Vatican City