Math Logic or Patterns

Words of “Wiz-dom”The questions that fall in this category belong in a puzzle book and I’ve even seen them on late night talk TV shows! (Yes, we have a satellite dish on the tallest tower of the castle!) They are not difficult math at all. They just require you to stop and think. So approach each one logically. As silly as it may sound, you’ll probably find a pattern that seems logical and obvious. However, if you don’t keep track as you go along, you’ll skip something and make a silly mistake.

They remind me of an old riddle: If you have exactly two US coins that add up to 30 cents and one is not a nickel, what are they?  Take a few seconds and try to answer that question then proceed.

The answer is a quarter and a nickel. I said, “one is not a nickel.” The other one is a nickel!!

Sample Questions

 12.  How many integers are there between 0 and 100 that contain at least one digit that is either a 6 or a 7?

(A) 20
(B) 22
(C) 28
(D) 30
(E) 36

Answer to Question #12

10.  In Wizland, a “trisequiter” is a three digit integer with sequential digits. For example, 123 is a “trisequiter.” How many “trisequiters” are evenly divisible by 2?

(A) 1
(B) 3
(C) 4
(D) 5
(E) 9

Answer to Question #10

11.  Portia is putting potion bottles on the shelves of the alchemy room. The first one is red, the second is green, the third is blue, the fourth is orange. Her job is to put 1,000 potion bottles on the shelves using this sequence. If she takes a break after putting 485 potion bottles on the shelves, what color does she start with after her break?

(A) red
(B) green
(C) blue
(D) orange
(E) yellow

Answer to Question #11

AA
+BB
CDC

16.  In the correctly worked addition problem above each letter represents a different positive single-digit integer. What is the sum of C+D+C?

Answer to Question #16

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