Numerical Maze of Divisibles by 12

Find a path from the START to the END passing only through numbers that are divisible by 12. There is only one solution for this numerical maze. To solve this maze faster, first learn the following three mental math hints:

1) If a number is divisible by 3 and by 4 then the number is divisible by 12.

2) If the sum of the digits of a number is divisible by 3 then the number is divisible by 3. For example, 2130021 is divisible by 3 because 9, the sum of its digits (2 + 1 + 3 + 0 + 0 + 2 + 1 = 9), is divisible by 3.

3) If half of a number is an even number then that number is divisible by 4. For example, 72 is divisible by 4 because half of it, 36, is an even number. Also, if the last two digits of a number is divisible by 4 then that number is divisible by 4. As an example: 897232 is divisible by 4 because its last 2 digits; i.e. 32, is divisible by 4.

Answer:

Calculate

Answer:

Who Controlled the Radio?

As usual, John refused to look at a map or ask for direc-tions when he and his wife, Marsha, went on a road trip. By sheer luck, they managed to take the same route both ways. John was driving when they left the house, but Marsha drove the last 65 miles. On the way back, John drove the first 50 miles, then Marsha sat behind the wheel the rest of the way. Marsha swears she drove more miles than John, but without a map she thinks she has no proof. Is Marsha right?

Answer:

Hexagony

Can you place the hexagons into the grid, so that where any hexagon touches another along a straight line, the contents of both triangles are the same? No rotation of any hexagon is allowed!

Answer:

Light Up

Light Up, invented by the Japanese puzzle company Nikoli under the name Akari or Light Up, is played on a rectangular grid of white and black cells. The player places light bulbs in white cells such that no two bulbs shine on each other, until the entire grid is lit up. A bulb sends rays of light horizontally and vertically, illuminating its entire row and column unless its light is blocked by a black cell. A black cell may have a number on it from 0 to 4, indicating how many bulbs must be placed adjacent to its four sides; for example, a cell with a 4 must have four bulbs around it, one on each side, and a cell with a 0 cannot have a bulb next to any of its sides. An unnumbered black cell may have any number of light bulbs adjacent to it, or none. Bulbs placed diagonally adjacent to a numbered cell do not contribute to the bulb count.

Example:

Solution for the Example:

OK, here is a Light Up puzzle for you. Try to solve it in 15 minutes!

Answer:

Loaves

 



Answer:

He started with 7 loaves, then he sold 4 loaves to the first, 2 loaves to the second, and one to the third customer.

Two Words

Answer:

More Frequently

You have 30 seconds to find out which item has been depicted more frequently!

Test

Answer:

Visual Memory Test

Study the following picture for 3 minutes!

Visual Memory Test

Which two items in the following were not in the above picture?

Answer:


F and G

Odd Out

Which is the odd one out?

Answer:


C. It is the only one that does not have an identical match.

Measure of Angle

If the figure below is a regular decagon with a center at Q, what is the measure of the indicated angle?

Answer:


108. If the figure is a regular decagon, it can be divided into ten equal sections by lines passing through the center. Two such lines form the indicated angle, which includes three of the ten sections; 3/10 of 360 degrees is equal to 108 degrees.

Four Brothers

Next door to me live four brothers of different heights. Their average height is 74 inches, and the difference in height among the first three men is two inches. The difference between the third and the fourth man is six inches. Can you tell how tall is each brother?

Answer:

The first brother is 70 inches tall, the second 72 the third 74 and the fourth brother 80 inches tall.

Jumbled Word

Make one word from the following jumbled word:

r o o n d e w





Answer:

one word

The fact that "one word" in the question was italicized could indicate that the word was in fact "one word."

Related Pictures [Part 3]

Of the four choices, choose the picture that would go in the empty box so that the two bottom pictures are related in the same way as the top two are related.

Answer:
d. An oar is to a canoe as a steering wheel is to a car. This is a functional relationship. The oar helps to steer the canoe in the way that the steering wheel steers the car.

Related Pictures [Part 2]

Of the four choices, choose the picture that would go in the empty box so that the two bottom pictures are related in the same way as the top two are related.

Answer:
a. Grapes are to a pear as cheese is to butter. This relationship shows the grouping or category to which something belongs. Grapes and pears are fruit; cheese and butter are both dairy products.

Related Pictures [Part 1]

Of the four choices, choose the picture that would go in the empty box so that the two bottom pictures are related in the same way as the top two are related.

Answer:
d. A can of paint is to a paint brush as a spool of thread is to a sewing needle. This is a relationship of function. Both show the tool needed to perform a task.

Values of Q and T

If B + P + F = 24, what are the values of Q and T?
Hint: Consider whole numbers only.

Answer:

Since A + B = Z and Z + P = T, it follows that A + B + P = T. We also know that T + A = F, so adding the last two equations and simplifying, we get 2A + B + P = F. We know that B + P + F = 24, so we have:

24 - B - P = F
2A + B + P = F

Hence:

24 + 2A = 2F  or  12 + A = F

We can replace F with T + A. The equation then becomes 12 + A = T + A> so T = 12 and therefore Q = 19.

Different to the rest

One of these figures is different to the rest. Can you spot the difference in a minute?

Answer:


C:

Dominoes

Here is a standard set of 28 dominoes.

Standard Dominoes

The above dominoes are laid out in the following picture. In three minutes, can you draw all their edges?

Dominoes

Answer:

Answer for Dominoes Puzzle