DAY 476

 

From Brainteasers and Mind Benders 

Ben Hamilton

Use all the digits 0 - 9 to make two sums and one product.

HINT:
The product uses four digits.

Answer:

 

7 + 1 = 8

9 - 6 = 3

4 x 5 = 20

 DAY 475

A man went into a bank with exactly $1,000, all in one-dollar bills. He gave the money to a cashier and said, "Put this money into ten bags in such a way that if I call and ask for a certain number of dollars, you can hand me over one or more bags, giving me the exact amount called for, without having to open any of the bags."

How was the cashier to do this?

Answer:

 

The contents of the bags should be $1, $2, $4, $8, $16, $32, $64, $128, $256, and $489. Notice how the contents of the first nine bags are in geometric progression.

 DAY 474

REALLY SIMPLIFIED FRACTIONS

 

The numerators and denominators of these fractions use the digits 1-9 once each, without repetition.

 6729  =  1

13458     2

5832  =  1

17496    3

 4392  =  1 

17568     4

 2769  =  1

13845     5

 2943  =  1

17658     6 

 2394  =  1

16758     7

 3187  =  1

25496     8

 6381  =  1

57429     9

DAY 473

Quick! Solve this problem - your answer to three decimal places.

987654312

123456789

 

Answer:

 

8.000

 

Note: Notice that the last two digits in the numerator are out of numerical order. 

 

 

 DAY 472

From six take nine, from nine take ten, from forty take fifty, and yet have six left.

Answer:

 

SIX       IX       XL

 -IX       -X         -L

S            I          X

DAY 471

From a number that's odd, cut off its head,

   It then will even be;

Its tail, I pray, next take away,

   Your mother then you'll see.

 

Answer:

 

SEVEN - EVEN - EVE 

DAY 470 

Using multiplication and addition, make the digits 1-9 = 100. Each number may be used only once.

Answer:

 

9 X 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 100

DAY 469

Subtract 45 from 45, leaving 45.

Answer:

1+2+3+4+5+6+7+8+9 =45

  9+8+7+6+5+4+3+2+1 = 45   

- 1+2+3+4+5+6+7+8+9 = 45  

  8+6+4+1+9+7+5+3+2 = 45

 

DAY 468

Use the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 to add up to 99,999.

 

Answer:

 

98,765

   1234

99,999  

 DAY 467

1. Make four 8's = 100

2. Make eight 8's = 1000

3. Make six 9's = 100

 

Answers:

 

1)

 88  = 8800 = 100

.88      88

 

2)

      888 

        88

          8

          8

_____8    

   1,000  

 

3)  99 99/99