Entries Tagged as 'Conundrum Corner'

Conundrum Corner: A Cryptogram Quote (Solution)

Original Puzzle:

JKCD ZJN AFHCV WO SFRQFONV FD QNFQCN AJF JKBN OFRNZJWYM ZF OKP KYV SKYZ KYV ZJN FZJNH JKCD AJF JKBN YFZJWYM ZF OKP KYV ENNQ FY OKPWYM WZ

- HFINHZ DHFOZ –

Solution:

HALF THE WORLD IS COMPOSED OF PEOPLE WHO HAVE SOMETHING TO SAY AND CAN’T, AND THE OTHER HALF WHO HAVE NOTHING TO SAY AND KEEP ON SAYING IT.

ROBERT FROST

Cipher:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
W V L F K O Q R B H A U G E S Y P M C X Z D I J N T

Conundrum Corner: A Crytogram Quote

JKCD ZJN AFHCV WO SFRQFONV FD QNFQCN AJF JKBN OFRNZJWYM

ZF OKP KYV SKYZ KYV ZJN FZJNH JKCD AJF JKBN YFZJWYM ZF

OKP KYV ENNQ FY OKPWYM WZ

- HFINHZ DHFOZ –

Conundrum Corner: Billy & Sally (Solution)

Original Problem:

Billy & Suzy

Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are they now?

Solution:

This is just regular algebra (two equations and two unknowns). There are several ways to continue:

   1. Solve for one variable (in one equation) and substitute in the other equation.
   2. Subtract one equation from another (after changing their form, perhaps), to solve for one variable.
   3. Use Matrices.
   4. Use Determinants.
   5. Graph the equations (not as easy).

If we solved for one variable, then we go back and solve for the other variable. Let’s use the first method. S=10+B. Substitute that into the second equation:

    10+B+1=2(B+1)

    B=9

Going back into the first equation, we find that S=19. Billy is 9, Suzy is 19.

Conundrum Corner: Billy & Sally

Billy & Sally

Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are they now?

An easy one for today… It is Monday, after all.

Conundrum Corner: Word Math (Solution)

Original Problem:

  Four words add up to a fifth word numerically:    

      mars
    venus
   uranus
   saturn
  ——– +
  neptune

Each of the ten letters (m, a, r, s, v, e, n, u, t, and p) represents a digit in the range 0 up to 9 (equal letters represent equal digits and different letters represent different digits). Furthermore, the digits 1 and 6 are being used most frequently.

What number does neptune represent?

Solution:

     mars         m = 4
    venus         a = 5
   uranus         r = 9
   saturn         s = 3
 -------- +       v = 2            4593
  neptune         e = 0           20163
                  n = 1          695163
                  u = 6          358691
                  t = 8        -------- +
                  p = 7         1078610

Conundrum Corner: Word Math

  Four words add up to a fifth word numerically:    

      mars
    venus
   uranus
   saturn
  ——– +
  neptune

Each of the ten letters (m, a, r, s, v, e, n, u, t, and p) represents a digit in the range 0 up to 9 (equal letters represent equal digits and different letters represent different digits). Furthermore, the digits 1 and 6 are being used most frequently.

What number does neptune represent?

Conundrum Corner: Seven Rows (Solution)

 

Original Puzzle: In the figure below, you can fill in each of the sixteen numbers 1 through 16, in such a way that the sum of the numbers in each of the seven rows is 29.

Solution:

1to16sol

Conundrum Corner: Seven Rows

In the figure below, you can fill in each of the sixteen numbers 1 through 16, in such a way that the sum of the numbers in each of the seven rows & columns equals 29.

Numeric Layout

1to16

Conundrum Corner: Cryptogram #2 (Solution)

Better late than never. ;)

Cryptogram #2 Solution

ROW ROW ROW YOUR BOAT GENTLY DOWN THE STREAM.

Conundrum Corner: Cryptogram #2

Better late than never. ;)

Cryptogram #2

IFJ  IFJ  IFJ  VFKI  OFRB  TUXBGV  NFJX  BAU  EBIURC.

Good luck! Solution posted tomorrow.

Conundrum Corner: Brothers & Sisters (Solution)

Original Puzzle:  

You must find the ages of nine brothers and sisters in the same family so that:

-          There is a triplet and two pairs of twins

-          Every age is a prime number

-          The sum of the nine ages is 153

-          We can build a magic square 3×3 with the nine ages

Solution:

The ages are 5, 11, 11, 17, 17, 17, 23, 23, and 29.

The magic square looks like this (or similar):
Top row: 11, 29, 11
Middle row: 17, 17, 17
Bottom row: 23, 5, 23

Conundrum Corner: Brothers & Sisters

This is a tricky one…

Brothers & Sisters

You must find the ages of nine brothers and sisters in the same family so that:

-          There is a triplet and two pairs of twins

-          Every age is a prime number

-          The sum of the nine ages is 153

-          We can build a magic square 3×3 with the nine ages

Remember – solution will be posted tomorrow.

Conundrum Corner: Anagrams (Solutions)

Fill in the blanks with the words in bold, transposed.

1. Pray, Simon, that I  may be cured of ______.

2. A certain ______ used green soap.

3. Cleon paints not in _____.

4. Dire loss is often sustained by _____.

5. Prejudice runs even through _____.

Solutions:

1. parsimony
2. personage
3. Constantinople
4. soldiers
5. jurisprudence

Conundrum Corner: Anagrams

Fill in the blanks with the words underlined, transposed.

1. Pray, Simon, that I  may be cured of ______.

2. A certain ______ used green soap.

3. Cleon paints not in _____.

4. Dire loss is often sustained by _____.

5. Prejudice runs even through _____.

Solutions posted tomorrow.

Conundrum Corner: Merry-Go-Round (Solution)

Original Problem:

A very bright girl riding the Merry-Go-Round remarked,  “A third of the number of children riding ahead of me, added to 3/4 of those riding behind me gives the correct number of kids on this ride”;

Can you tell  how many riders there were?

Solution:

N = Total number of kids
Since this is a circle, the number of kids behind the girl = number of kids in front of her = N-1
(1/3 + 3/4) x (N-1)=N
N=13