706. Below is a sequence that is not as difficult as it first appears. Play
around with it for a while and the "powers" of the mind will show you
the way.

1 128
729 1024
625 216
49 ?

8. The sequence is this: 18 27 36 45 54 63 72 81 therefore: 1 128 729 1024 625 216 49 8.

707. Twins named Bob and Bill ran a race. Bob ran three miles per hour
uphill and six miles per hour downhill. His brother Bill ran four miles per hour both up and down. On a hill that was three miles up and three
miles down, which one came in first and by how much?

They tied. Bob ran up in one hour and down in half an hour. Bill covered the same six miles in one and a half hours.

708. Here is an interesting "magic square," where the rows, columns, and
diagonals add up to 41. No number is used more than once and the largest number used is 26. Can you complete the square?

2 ___
___ 26

___ ___
5 ___

___ 1
___ ___

9 ___
___ 4

row # 1) 2 6 7 26 row #2) 12 21 5 3 row #3) 18 1 14 8 row #4) 9 13 15 4.

709. What two words, formed from different arrangements of the same six letters,
can be used to complete the sentence below?

The title of the appealing little magazine defines the colorful drawings as amusing but comprehensive, in short, _________
_________.

710. Here is a sequence puzzle that is mathematical and somewhat difficult unless
you unlock the secret at its root.

1
0.70711
0.57735
0.50000
0.44721
0.40825
0.37796
0.35355
0.33333 ?

0.31623. Each value is obtained by using the formula 1/the square root of N. Start with N being 1 and continue substituting the numbers from 2 to 10.

711. Here's a secret code that has and interesting twist to it. (Hint:
"ping pong effect")

BUCENO

BCKA

ADN

FRHTO

The message reads: BOUNCE BACK AND FORTH. The words are formed by starting with the first letter of each line, then the last letter, back to the next letter on the left, then the next letter on the outside right, and continuing to the middle.

712. Find the number that best completes the following sequence.

3 15
6 12 9
9 12 6
15 ?

3. There are two interweaved series: plus 3 and minus 3).

713. You may know that any number may be divided by three if the sum of the digits
can be divided by three ( without a remainder, of course). You may also know that a number may be evenly divided by four when the last two digits of
that number can be divided by four. Do you know the rules that apply when dividing by 6, 8, 9 and 12?

A number can be divided by: 6, without a remainder, when the number is even and the sum of the digits can be divided by 3. 8, when the last three digits can be divided by 8 9, when the sum of all the digits can be divided by 9 12, when the sum of the digits can be divided by 3 and each of the last two digits can be divided by 4.

714. What two words, formed from different arrangements of the same seven letters,
can be used to complete the sentence below?

A mother who ________ and spoils her child is setting up a situation in which he will be _________ by others in authority.

715. Three playing cards are placed face down on the table and someone tells you:

1. A Spade is to the right of a Heart

2. A Club is to the right of a Queen

3. One card is a King

4. An 8 is to the right of a spade

Can you figure out which card is which, from left to right?

King of Hearts, Queen of Spades, and 8 of Clubs.

716. James is now two-thirds Jim-s age. In three years, he will be
three-fourths Jim's age. Three years ago, he was half as old as Jim. The sum of their ages is 15. How old are they now?

717. What number gives the same result when added to 2 1/2 as when it is
multiplied by 2 1/2?

5/3 ( or 1 2/3 ). Here's one way to solve this: 1. x + 5/2 = 5/2x 2. 2x +5 = 5x 3. 3x = 5 4. x = 5/3.

718. Some letters have been removed from the names of the following American
states. Fill in the missing letters to find out where you are.

_ I _ H _ G _ _

_ I _ _ E _ O _ A

_ Y _ M _ N _

_ I _ _ I _ _ I _ P _

_ A _ _ A _ H _ S _ _ _ _

MICHIGAN, MINNESOTA, WYOMING, MISSISSIPPI; MASSACHUSETTS.

719. A increased by 20% = B

B decreased by 50% = C

C increased by 25% = D

D decreased by 20% = E

What percent of A is E?

Assume A = 100, then: A increased by 20% is 120 or B B decreased by 50% is 60 or C C increased by 25% is 75 or D D decreased by 20% is 60 or E E is 60% of A.

720. Fill in the answers to the definitions below. (hint: for all you dog
lovers, the answers all contain the word "dog".)

Decidedly opinionated __________

Persistent ___________

Creed __________