Logic
I am thinking of a number.
If you double it and subtract 4, you get 10.
What is the number?
x = 7
Garry has a Salary of 60k. He applied and got into a new position of a 20% salary increase. What is Garry's Salary now?
72k
19/12
A number is increased by 4 and then multiplied by 3. The result is 24. What is the number?
3(x+4) = 24
x=4
A garden is made up of a rectangle and a square.
The rectangle is 6 meters long and 4 meters wide.
The square has sides of 3 meters.
What is the total area of the garden?
33 Square Meters
what is the sum of the first 5 prime numbers
28
Solve for x
3x +18 =54
x = 12
3+9+1+7+9+6+2+5
42
A circular tablecloth has a radius of 7 feet.
What is the area of the tablecloth? (In Terms of Pi)
49 pi
What is the pattern?
1,3,6,10,15,…
This sequence follows the rule of adding consecutive integers to the previous number:
1+2 = 3
3+3 = 6
6+4 = 10 ...
The Cube and the Paint Bucket
You have a 3x3 cube, and you dip it into a paint bucket, painting all of its outer surfaces. If you dismantled the cubes, How many of these smaller cubes is NOT painted on any side?
1 small cube
Solve for x
2(x+3) +5 = 3(2x+1)-8
x=4
120+345+627
1092
How many ways can you rearrange 4 books on a bookshelf?
Answer: 24 Different Ways
Let A, B, C, and D be the books
ABCD / ABDC / ACBD / ACDB / ADCB / ADBC /
All possible sets with A being the First Book. Same sequences happens for the rest.
6 Ways * 4 Starting Books = 24
What is the Sum of the first 12 positive integers?
78
What is the largest product you can make by multiplying two fractions formed from the numbers 8, 5, 3, and 2?
20/3
Find All Solutions
3x2 - 5x -2 =0
(x-2)(3x+1)=0
x=2 AND x=-1/3
Leave in Exponent Form
(26 * 45) / (83 * 22)
25
You have two bags:
Bag A contains 3 blue marbles and 2 red marbles.
Bag B contains 4 blue marbles and 3 red marbles
A random marble is drawn from Bag B. What is the probability of getting a red marble
Answer: 3/7
What are the two prime numbers a and b have a sum of 20 and that a>b?
13 & 7
What is the Unit Digit of 2^456
Answer: 6
{The unit digits of powers of 2 follow a repeating cycle: 2, 4, 8, 6 every four terms. Since 456 mod 4 = 0. Thus 2^{456} follows the unit digit of 242^4, which is 6.}
Find the Multiplicity AND Zeros of this Function
f(x) = x2(x - 3)(x2 - 4)(x2 - x -6)(x2 - 9)
Degree: 9
x = 0 (M=2)
x=3 (M=3)
x=2 (M=2)
x=-3 (M=1)
x= -2 (M=1)
What is the sum of the first 10 positive integers?
Answer: 55
You have two bags:
Bag A contains 3 blue marbles and 2 red marbles.
Bag B contains 4 blue marbles and 3 red marbles
A random marble is drawn from Bag A and placed into Bag B. Then, a marble is randomly drawn from Bag B.
Q: What is the probability that the marble drawn was RED for Bag A and Blue For Bag B
P(Red from A and Blue from B)=
P(Red from A)×P(Blue from B | Red transferred)
2/5 * 1/2
Answer: 1/5
What is an example of a Irrational Number?
Pi, e, squareroot(2)