tag:blogger.com,1999:blog-20172823315764605192024-02-08T07:21:17.143-08:00Sponge Cityjrsjvahttp://www.blogger.com/profile/18297626649027607384noreply@blogger.comBlogger369125tag:blogger.com,1999:blog-2017282331576460519.post-19524622175796324202023-02-23T00:36:00.002-08:002023-02-23T00:36:58.083-08:00<p> DAY 478</p><p>There are only 10 kinds of people: those who understand binary numbers, and those who don't.<br /></p>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-15138785326776940782023-02-23T00:32:00.004-08:002024-01-25T11:47:56.061-08:00<p> DAY 477</p><p>Musical Limerick <br /></p><div style="text-align: left;">Jon Saxton</div><div style="text-align: left;"><i>In </i><u>Colossal Book of Word Play</u></div><div style="text-align: left;">Martin Gardner</div><div style="text-align: left;"> </div><div style="text-align: left;">A dozen, a gross, and a score,</div><div style="text-align: left;">Plus three times the square root of four,</div><div style="text-align: left;">Divided by seven,</div><div style="text-align: left;">Plus five times eleven,</div><div style="text-align: left;">Is nine squared and not a bit more.*</div><div style="text-align: left;"> </div><div style="text-align: left;">*This limerick can be written out numerically as a correct equation, beginning with 12 + 144 + 20 and ending with 9 (squared) + 0. <br /></div><div style="text-align: left;"> </div><div style="text-align: left;"> <br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-37676040270599416572020-09-25T00:43:00.005-07:002020-09-25T00:43:49.912-07:00<div style="text-align: left;">DAY 476</div><div style="text-align: left;"> </div><div style="text-align: left;"><i>From</i> <u>Brainteasers and Mind Benders </u></div><div style="text-align: left;">Ben Hamilton</div><div style="text-align: left;"><br /></div><div style="text-align: left;">Use all the digits 0 - 9 to make two sums and one product.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">HINT:<br />The product uses four digits.</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>7 + 1 = 8</b></div><div style="text-align: left;"><b>9 - 6 = 3</b></div><div style="text-align: left;"><b>4 x 5 = 20 </b><br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-50375978275044358372020-09-17T11:28:00.000-07:002020-09-17T11:28:46.285-07:00<p> DAY 475</p><div style="text-align: left;">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."</div><div style="text-align: left;"><br /></div><div style="text-align: left;">How was the cashier to do this?</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>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. </b><br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-26124838532893544032020-09-15T11:55:00.000-07:002020-09-15T11:55:58.408-07:00<p> DAY 474</p><div style="text-align: left;">REALLY SIMPLIFIED FRACTIONS</div><div style="text-align: left;"> </div><div style="text-align: left;">The numerators and denominators of these fractions use the digits 1-9 once each, without repetition. <br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>6729</u> = <u>1</u><br /></div><div style="text-align: left;">13458 2</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><u>5832</u> = <u>1</u></div><div style="text-align: left;">17496 3</div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>4392</u> = <u>1</u> </div><div style="text-align: left;">17568 4</div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>2769</u> = <u>1</u></div><div style="text-align: left;">13845 5</div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>2943</u> = <u>1</u></div><div style="text-align: left;">17658 6 </div><div style="text-align: left;"><br /></div><div style="text-align: left;"><u> 2394</u> = <u>1</u></div><div style="text-align: left;">16758 7</div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>3187</u> = <u>1</u></div><div style="text-align: left;">25496 8</div><div style="text-align: left;"><br /></div><div style="text-align: left;"> <u>6381</u> = <u>1</u></div><div style="text-align: left;">57429 9<br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-55118483338781347762020-09-13T23:57:00.002-07:002020-09-15T11:35:58.334-07:00<p>DAY 473</p><p>Quick! Solve this problem - your answer to three decimal places.</p><div style="text-align: left;"><u>987654312</u></div><div style="text-align: left;">123456789</div><div style="text-align: left;"> </div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>8.000</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>Note: Notice that the last two digits in the numerator are out of numerical order. </b> <br /></div><p> </p><div style="text-align: left;"> <br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-74241938207600397692020-09-13T23:45:00.003-07:002020-09-13T23:45:27.560-07:00<p> DAY 472</p><div style="text-align: left;">From six take nine, from nine take ten, from forty take fifty, and yet have six left.</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>SIX IX XL</b></div><div style="text-align: left;"><b><u> -IX</u> <u>-X </u> <u> -L</u></b></div><div style="text-align: left;"><b>S I X</b><br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-12185912750246399452020-09-13T23:40:00.000-07:002020-09-13T23:40:06.849-07:00<p>DAY 471</p><div style="text-align: left;">From a number that's odd, cut off its head,</div><div style="text-align: left;"> It then will even be;</div><div style="text-align: left;">Its tail, I pray, next take away,</div><div style="text-align: left;"> Your mother then you'll see.</div><div style="text-align: left;"> </div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>SEVEN - EVEN - EVE </b> <br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-31283369986480446252020-09-13T23:31:00.003-07:002020-09-13T23:31:49.308-07:00<p>DAY 470 </p><div style="text-align: left;">Using multiplication and addition, make the digits 1-9 = 100. Each number may be used only once.</div><div style="text-align: left;"><br /></div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>9 X 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 100 </b><br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-2430361063955487332020-09-13T23:23:00.000-07:002020-09-13T23:23:36.950-07:00<p>DAY 469</p><p>Subtract 45 from 45, leaving 45.</p><p><b>Answer:</b></p><p><b>1+2+3+4+5+6+7+8+9 =45</b></p><div style="text-align: left;"><b> 9+8+7+6+5+4+3+2+1 = 45 <br /></b></div><div style="text-align: left;"><b>- <u>1+2+3+4+5+6+7+8+9</u> = 45 </b></div><div style="text-align: left;"><b> 8+6+4+1+9+7+5+3+2 = 45<br /></b></div><div style="text-align: left;"><b> </b> <br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-1510024680348323722020-09-13T23:04:00.001-07:002020-09-13T23:04:25.122-07:00<p>DAY 468</p><div style="text-align: left;">Use the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 to add up to 99,999.</div><div style="text-align: left;"> </div><div style="text-align: left;"><b>Answer:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>98,765</b></div><div style="text-align: left;"><b> <u> 1234</u> <br /></b></div><div style="text-align: left;"><b>99,999 </b><br /></div><p><br /></p>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-62076431450621086172020-09-13T22:59:00.001-07:002020-09-13T23:08:53.879-07:00<p> DAY 467</p><div style="text-align: left;">1. Make four 8's = 100</div><div style="text-align: left;">2. Make eight 8's = 1000</div><div style="text-align: left;">3. Make six 9's = 100 <br /></div><div style="text-align: left;"> </div><div style="text-align: left;"><b>Answers:</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>1)</b></div><div style="text-align: left;"><u><b> 88</b></u><b> =<u> 8800</u> = 100</b> <br /></div><div style="text-align: left;"><b>.88 88</b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>2)</b></div><div style="text-align: left;"><b> 888 </b></div><div style="text-align: left;"><b> 88</b></div><div style="text-align: left;"><b> 8</b></div><div style="text-align: left;"><b> 8</b></div><div style="text-align: left;"><b>_____<u>8</u> </b></div><div style="text-align: left;"><b> 1,000 </b></div><div style="text-align: left;"><b> </b></div><div style="text-align: left;"><b>3) 99 99/99 <br /></b></div><div style="text-align: left;"><b><u></u></b><br /></div>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-23740261209153336902020-05-02T01:08:00.003-07:002020-05-13T15:02:37.470-07:00DAY 466 MIND TICKLER<br />
<br />
<i>From</i> Dell Penny Press Variety Puzzles<br />
February, 2019<br />
<br />
Find the missing number (?) and the next two numbers in the sequence:<br />
<br />
5, 8, 13, 12, 7, 10, ?, 9 ........<br />
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<b>Answer:</b><br />
<br />
<b>The missing number is 8. Starting from the third number, each number is equal to the sum of the <u>digits</u> of the previous two numbers. For example, 5+8=13, 8+1+3=12, etc. </b><br />
<br />
<b>The next number would be 17 (8+9), followed by 17 again (9+1+7). </b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-25410808469897560912019-09-26T10:59:00.002-07:002020-05-13T15:02:45.229-07:00DAY 465<br />
<br />
MATH MAGIC<br />
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Add the year of your birth + the year of birth of your child (or any younger relative). Now add to this your age (the age you will be in the current year - even if you have not reached your birthday yet). Next add the age of your child or other relative - also the age he/she will be by Dec. 31 of the current year. What do you get?<br />
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<b>Answer:</b><br />
<br />
<b>A number exactly double the current year.</b><br />
<br />
<b>For example:</b><br />
<b>Today is Sept. 26, 2019. </b><br />
<b>I was born in 1945.</b><br />
<b>My daughter was born in 1976.</b><br />
<b>I will be 74 this year (in Oct.)</b><br />
<b>My daughter is 43 (already had her birthday).</b><br />
<br />
<b>1945 + 1976 = 3921</b><br />
<b>74 + 43 = 117</b><br />
<b>3921 + 117 = 4038 (2x2019) </b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-27714863890655587252019-09-12T21:25:00.001-07:002019-09-26T11:01:03.981-07:00DAY 464<br />
From <i>Reader's Digest</i> <br />
<br />
An old man decided that it was time to divide his herd of 18 camels among his three sons. He kept the camel he loved best for himself and had 17 left. As was the custom, he gave one half the herd to his eldest son, one third to the second, and one ninth to the youngest. How did he do it?<br />
<br />
He added his own camel to the 17, making 18 again. 9 camels went to the eldest son, 6 to the second, and 2 to the third. 9 + 6 + 2 =17, so 1 camel was left - the one the old man loved best - and he took it back for himself.<br />
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This story illustrates an old Arabian saying: "If you give away that which you love, it will be returned to you."<br />
***********************************************<br />
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The saying may be true, but the math isn't. What's wrong?<br />
<br />
<b>Answer:</b><br />
<br />
<b>1/2 + 1/3 + 1/9 = </b><br />
<b>9/18 + 6/18 + 2/18 = 17/18 - He's one camel short.</b> <br />
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<br />Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-17974865990855951992019-08-27T17:16:00.001-07:002020-05-05T21:39:22.528-07:00DAY 463<br />
<br />
Credit: Tyler Lipscomb<br />
NPR Weekend Edition Sunday Puzzle<br />
August 25, 2019 <br />
Presented by Will Shortz <br />
<br />
If:<br />
5 = 4<br />
6 = 9<br />
7 = 5<br />
What does 12 = ?<br />
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<b>Answer:</b><br />
<br />
<b>12 = 55</b><br />
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<b>When the numbers are spelled out, they contain Roman numerals: </b><br />
<br />
<b>5 = F<u>IV</u>E - Roman numeral IV (4)</b><br />
<b>6 = S<u>IX</u> - Roman numeral IX (9)</b><br />
<b>7 = SE<u>V</u>EN - Roman numeral V (5)</b><br />
<b>12 = TWE<u>LV</u>E - Roman numeral LV (55) </b> <br />
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<br />Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-44554245942774456052019-08-09T09:04:00.000-07:002019-08-11T01:07:06.190-07:00DAY 462<br />
<br />
Q. What is the Golden Rule of submarine service?<br />
<br />
A. Count the number of times we dive, add the number of times we surface. Divide by two. If there's a remainder of one, don't open the hatch. <br />
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<br />Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-40868791344975951692019-05-08T09:15:00.001-07:002019-08-09T09:01:56.306-07:00DAY 461<br />
<br />
From Reader's Digest<br />
Jean-Claude Baillif<br />
<i>From </i>"SUPERPUZZLES"<br />
<br />
A water lily on a lake doubles in size each day. In one month it will cover the entire lake. How much time would it take two such lilies to cover the lake?<br />
<br />
<b>Answer:</b><br />
<br />
<b>One month less one day. </b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-29493058196146931732019-03-18T23:13:00.002-07:002019-08-11T01:07:22.866-07:00DAY 460<br />
<br />
Think of any number greater than zero. Multiply by three. Add one. Multiply by three again. Add the original number.<br />
The answer will always end with three. Strike off the three, and the remaining figure will be the original number. Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-60265231933458247572019-01-03T00:34:00.000-08:002019-01-03T22:28:53.342-08:00DAY 459<br />
<br />
From<i> Reader's Digest</i><br />
Contributed by L.S. Bowen<br />
<br />
<i> </i><br />
Before sailing as a guest on board a submarine, I asked the coxswain if there were any special regulations to be observed during exercises. I was puzzled when he asked me how good my mental arithmetic was. He went on to explain the golden rule of the submarine service: "Count how many times we dive, add the number of times we surface, divide by two. If there is a remainder of 1, don't open the hatch."Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-73180677165487389622018-09-21T11:26:00.001-07:002018-09-21T11:27:16.339-07:00DAY 458<br />
<br />
How do you equally divide three oranges among four people?<br />
<br />
<b>Answer:</b><br />
<br />
<b>Each person gets 3/4 of an orange. Cut each orange into quarters and give each person three. </b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-23897945728999936682018-09-19T21:45:00.000-07:002019-01-03T22:45:32.699-08:00DAY 457<br />
<br />
Matchstick Puzzle <br />
<br />
The equation below in Roman numerals (9-12 = 3) is obviously wrong. Move one line (matchstick) to produce a correct equation. (The solution does not involve an inequality sign, negative numbers, or changing an X to a V.)<br />
<br />
IX - XII = III<br />
<br />
HINT:<br />
There are 13 lines in the equation. <br />
<br />
<b>Answer:</b><br />
<br />
<b>IX = XII - III </b><br />
<br />
<br />
<br />
<br />
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<br />Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-24909738347928949912018-09-14T20:32:00.002-07:002018-09-14T21:28:31.225-07:00DAY 456<br />
<br />
From <i>Reader's Digest</i><br />
<br />
If it cost one cent to ride 1,000 miles, how much would a trip around the world cost? How much to go to the moon? The sun? And how much would it cost to go to Alpha Centauri, our nearest star other than the sun. Use the following distances to help solve:<br />
<br />
<i> </i><br />
Circumference of the Earth: 25,000 miles<br />
Distance to the moon: 240,000 miles<br />
Distance to the sun: 93,000,000 miles<br />
Distance to Alpha Centauri: 26,000,000,000,000 miles<br />
(26 trillion - 4.2 light years)<br />
<br />
<b>Answers:</b><br />
<br />
<b>25 cents to go around the Earth</b><br />
<b>$2.40 to go to the moon</b><br />
<b>$930 to go to the sun</b><br />
<b>$260,000,000 to go to Alpha Centauri</b><br />
<br />
<b>Explanation of the math:</b><br />
<br />
<b>Think of the distances as multiplied by 1,000 - to give the number of cents. Then translate the number of cents into dollars by dividing by 100 (if necessary).</b><br />
<br />
<b>Earth - circumference of 25,000 miles - 25 thousands = 25 cents</b><br />
<br />
<b>Moon - 240,000 miles from Earth - 240 thousands = 240 cents = $2.40</b><br />
<br />
<b>Sun - 93,000,000 miles from Earth - 93,000 thousands = 93,000 cents = $930</b><br />
<br />
<b>Alpha Centauri - 26,000,000,000,000 miles from Earth</b><br />
<b> 26,000,000,000 thousands</b><br />
<b> 26,000,000,000 cents = $260,000,000 </b><br />
<br />
<b>Note from JA: Alpha Centauri's distance at 26 trillion miles can also be expressed as 4.2 light years. </b> Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-14326562205985179812018-08-29T23:52:00.003-07:002019-01-03T22:12:40.745-08:00DAY 455<br />
<br />
What do you get if you divide the circumference of your jack-o-lantern by its diameter?<br />
<br />
<b>Answer:</b><br />
<br />
<b>Pumpkin pi </b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0tag:blogger.com,1999:blog-2017282331576460519.post-11481495017805937032018-02-12T19:17:00.000-08:002019-01-03T22:33:51.047-08:00DAY 454<br />
<br />
TWENTY-FOUR <br />
<br />
Credit: Jon Erickson<br />
<u>HACKING</u><br />
<u>The Art of Exploitation, 2nd Ed.</u><br />
<br />
Use each of the numbers 1, 3, 4, and 6 once and only once with any of the four math operations to total 24. You may define the order of operations. For example, 3 x (4+6) + 1 = 31 is valid, but incorrect, since it doesn't total 24. <br />
<br />
[Note from JA: This problem is not nearly as simple as it might appear. You'll appreciate the solution more if you try it first - before looking at the hints or answer.]<br />
<br />
HINTS:<br />
1. There are no parentheses, exponents, or radicals in the answer.<br />
2. The answer involves only two math operations.<br />
3. The answer involves fractions.<br />
4. The answer involves division of fractions. <br />
<br />
<b>Answer:</b><br />
<br />
<b>[Note from JA: I was able to figure out that the answer had to involve division of fractions. I also figured out that 6 divided by 1/4 would equal 24. But what about that pesky 3? This is where I gave up. Here is the solution:] </b><br />
<br />
<b> <u>6 </u></b><br />
<b> 1 - 3/4</b>Joehttp://www.blogger.com/profile/06369373677491617689noreply@blogger.com0