Logic
If 2+4=10 4+6=28
5+2=15 6+3=24
Then, 7+9=?
70
3+4x5+6=?
29
8x9=?
72
The perimeter of a square is 8 cm. What is the area?
4 cm2
Evaluate the following:
x2 = 3 + 2x
x=3 / x=-1
6600=0 7050=1
11300=0 470506=1
323200=0 1070304=2
802030304=?
3
What is the last digit of 20192019?
9
25x23=?
575
Suppose you are given a square with side length a and an equilateral triangle with side length b such that both figures have the same area. What is the ratio of a to b?
a:b=31/4:2
How many pairs of non-zero real numbers (a, b) exist such that the sum a + b, the product ab, and the quotient a b are all equal.
1 pair
Allen is taller than Brad and shorter than Clara. Diana is shorter than Clara and taller than Allen. Brad is shorter than Sarah. If the first three statements are true, which of the following must be true? (consider all that apply)
1 Diana is taller than Brad.
2 Brad is the same height as Diana
3 Sarah is taller than Allen
Only 1
I have 2 numbers a and b such that a + b = c. The sum of the digits of a is 27 and the sum of the digits of b is 32. When I added a and b by hand, I had to carry 3 times. What is the sum of the digits of c?
32
117x31=?
3627
Four circles of radius one are centered at the points (1, 1),(1, −1),(−1, −1), and (1, −1). A fifth circle is drawn centered at the origin such that it is tangent to the other four circles. What is the radius of the fifth circle?
1 + √ 2
Andy rides his bike from his house to the store at 6 miles per hour. Upon arriving at the store, he realizes it’s closed and immediately heads back, riding his bike back home at a speed of 2 miles per hour. What is Andy’s average speed in miles per hour over the entire trip?
3 mph
If 11x11=4
22x22=16
33x33=18
Then, 44x44=?
19
How many (unique) ways are there to sit 6 people at a round table? Consider two seating arrangements to be the same if one is a rotation of the other.
120 ways
1531x98=?
150,038
Suppose you have a regular hexagon, and for every pair of non-adjacent vertices, you draw a line segment connecting them. How many times do the line segments intersect in the interior of the hexagon?
13 intersections
For how many integer values of b is b+3>0 and 1>2b-9?
7
6-9=S
5-4=FE
x-5=SEEN
What is x?
7
How many zeroes in a row occur at the end of the number 100!.
24 zeroes
12345x87=?
1,074,015
There are 3 trees, each of height 30 meters, at a distance of 30, 60, and 90 meters, respectively from a mouse sitting on the ground. If the mouse is looking at the top of each of the trees, what is the sum of the three angles made as the mouse sees each of the trees?
90 degrees
Working alone, Bill takes three times the amount of time to paint a fence that Mike takes. If Bill and Mike work together, they can paint the fence in 2 hours. If Mike works at the same rate as when he worked with Bill, how long would it take Mike working alone to paint the same fence?
2 hours and 40 minutes