A dodecahedron has 12 faces. A regular dodecahedron is a dodecahedron where each face has the same number of edges. How many edges does each face of a regular dodecahedron have?
A. 3
B. 4
C. 5
D. 6
The correct answer is: C.
Rationale: A regular dodecahedron is made of pentagons.
A, B and C are whole numbers. A and B are both greater than zero but less than 10. What is the smallest possible value for A * B * C, if A * B * C is greater than 100?
A. 104
B. 105
C. 108
D. 112
The correct answer is: A.
Rationale: 4 * 3 * 9 = 108
A cube has 6 faces, 8 corners and 12 edges. If we add one more cube to make a 2-cube structure, by joining the cubes face to face, how many faces, corners and edges does the combined structure have?
A. 10 faces, 14 corners and 18 edges
B. 10 faces, 16 corners and 20 edges
C. 11 faces, 14 corners and 18 edges
D. 11 faces, 16 corners and 20 edges
The correct answer is: A.
Rationale: Two faces are lost when the cubes are joined.
What is the highest prime number which is lower than 100?
A. 89
B. 91
C. 93
D. 97
The correct answer is: D.
Rationale: 91 and 93 are not prime.
If a car travels at 60 miles per hour for 10 minutes, how far does it travel?
A. 1 mile
B. 10 miles
C. 60 miles
D. 600 miles
The correct answer is: B.
Rationale: 10 minutes is 1/6 of an hour.
A palindromic number reads the same forwards as backwards. For example, 121 and 34543 are palindromic numbers. How many palindromic numbers are there between 10 and 100?
A. 8
B. 9
C. 10
D. 11
The correct answer is: B.
Rationale: 11, 22, 33, 44, 55, 66, 77, 88, 99
How many squares with sides of length 1 can be fitted into a square with sides of length 4? The smaller squares can touch each other but they cannot overlap. They do not have to be aligned with the sides of the larger square.
A. 4
B. 8
C. 12
D. 16
The correct answer is: D.
Rationale: The area of a square is its side length squared. 4 * 4 = 16.
We have a bag which contains 100 marbles. 50 of these marbles are red, and the other 50 are blue. We take one marble out of the bag without looking. What is the probability that this marble is red?
A. 1/100
B. 1/50
C. 1/2
D. 50/100
The correct answer is: C.
Rationale: There is an equal number of red and blue marbles.
In the game of chess, each player starts the game with 16 pieces. There are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king. How many of the starting pieces are able to move more than one square in a single move, assuming that no other pieces are blocking their movement?
A. 6
B. 7
C. 8
D. 9
The correct answer is: C.
Rationale: Pawns can only move one square.
In a standard deck of 52 playing cards, there are 4 suits. Each suit has 13 cards: an Ace, numbers 2 to 10, a Jack, a Queen and a King. How many of the cards in a standard deck of 52 playing cards are either a King, a Queen, or a number card less than 5?
A. 12
B. 16
C. 20
D. 28
The correct answer is: C.
Rationale: 4 Kings, 4 Queens, 12 number cards less than 5.