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MSTE
Litton's Problematical Recreation
| Question | Answer |
|---|---|
| Six Grocers (tea) | 3.7$ |
| Little willie lemonade (NDQ) | NIckel = 4, Dime = 20, Quarters = 23 |
| COFFEE POT | 0.51 from apex, capacity = 3 1/37 cups |
| A STUDENT BEGINNING THE STUDY OF TRIGO | 175 and 185 |
| Rufus T. Flypaper | No. (already used 4 times) |
| Two wheels in same plane are mounted | 5 in larger |
| AN ICICLE FORMING FROM DIPPING GUTTER | 33 times |
| DIAPER | 2.5 square inches |
| YANG, YING, YUNG | Same size, each 1/3 πr^2 |
| Group of hippies | 4 Girls, 2 Boys |
| Canoe/Penny | Yes, submerged body displaces its volume, floating body displaces its weight |
| Mary ann moore father | Colonel downing |
| Area of common quadrilateral | 12.25 |
| Sta. A and B (distance fly flown) | 300 miles |
| Decimal point | 5.4 |
| A man has red, gray, black flagstones | R G R B R G R |
| Solid state physicist (stag party) | 2 |
| Engineering consultant pays a bonus | 8 years |
| A college president, a prof, instructor, janitor | White (president), Brown (prof), Black (instructor), Green (Janitor) |
| 100 coins in piggy bank | Dollar = 1/2, dimes = 39, penny = 60 |
| 4 boys and 4 girls | Gwen loves allan |
| A hunter wished to take his 1-piece rifle | Put gun diagonally in 1 yard cubical box |
| Between Kroflite and beeline are 5 other towns | 25 miles |
| Longest 6' wide shuffle board court | 30 7/8 = 30,875 feet |
| IF THE EQUAL SIDES OF TRIANGLE (Max Area) | √ 2x |
| Through binoculars a bird watcher | 3 hummingbirds sharing with cycles 7, 11, 13 minutes |
| One side of triangle is 10 ft longer (how far from 3rd side) | 0 |
| There is one flag at the entrance to a racetrack (how long is the track?) | 1980π ft or 3.36 furlongs |
| Three rectangles of integer have identical areas | A = 1,466,640 |
| A pupil wrote on the blackboards (numerator?) | 25 |
| Jai alai balls (max number of balls) | 97 |
| Parking with charge x for the first hour | Jones = 0.5 hr, Smith = 3.5 hrs |
| Mr. field a speeder | V = 1.25s (25% faster than the speed limit) |
| Millionth term | 1414 |
| Teacher marked the quiz on basis | Pat = 8 errors, Mike = 2 errors |
| A student beginning the study of log | A = 9/4, B = 27/8 |
| √x + √x + √x + ... = | x = 0 or 2 |
| Pencil, eraser, notebook | P = 26, E = 19, N = 55 |
| A prisoner is given 10 white, 10 black, 2 boxes | 0.737 |
| Parking lot (999 cars) | 1/24 |
| Hospital nursery (baby girl) | 2/5 |
| Sinking submarine | 251/256 |
| If 2 marbles are removed at random | White = 6, Black = 4 |
| Brother-in-law | 3 |
| An expert gives team A only a 40% chance (world series) | Yes, 0.5461 |
| A salesman visits 10 cities | 83 days |
| 3 dart threw (tic tac toe) | 2/21 |
| Fraternity | 15 members (3003 teams) |
| Super dominoes | 196 pieces |
| Martian coins | 1.5 throws |
| 3 families (each has 2 sons and 2 daughters) | 80 ways |
| Russian roulette | 0.1 |
| A long show poker (straight or flush) | 0.168 |
| In Puevigi, the game of craps | 0 |
| Max and his wife | Yelllowstone = -.486, Bermuda = 0.514 |
| A, B, C participate in track meet | A = 4, B = 1, C = 2 (A won) |
| 1/x^2 + 1/y^2 .... | x = 15, y = 20, z = 12 |
| Census taker | Age (1,8,72), sum 99 |
| Gherkin gesundheit | 1,2,3 |
| 3 farmers (adam, brown, clark) | A = 40x28, B = 32x60, C=30x64 |
| Ice cream | 361 tons |
| Dad and son (same b-day) | Jr = 36, Dad = 72 |
| Subtract a square game | Subtract 9 |
| A lamp has 3 on-off buttons | 1 2 3 2 1 2 3 |
| Arctic penguins | No value x, thus case is empty |
| In Bristol (tea, coffee, whiskey) | 100 % |
| A teenager wants to go out of 2 consecutive nights | Mother |
| You and a friend spot a 20$ bill | Bid 9.99$ |
| Smith (10 links chain) | Leaves 2 chains of 6 and 3 links |
| Undergrads of school on engineering (abreast abreast) | 1154 |
| 5^999999/7 | 6 ( remainder) |
| Universe (billion billion light years) | 9^9^9 |
| Odometer in my car | 100 |
| Expedition in mars | 13 fingers |
| Rectangular Picture | 3x10 or 4x6 |
| Palindrome | 36481 |
| My house is on the road | House# = 204, total = 288 |
| First day of century | Monday |
| Sultan Wives | 9842 |
| Rectangular box w/o top | 6:3:1 |
| Mr. X veers to the right when he walks | 1.2 miles |
| Boar owner agrees group outing | Profit = 0 |
| Platinum trays | Side is 1/6 of the original square |
| Encyclopedia on a shelf | 500 pages |
| Venusian batfish | 5, P = 50/81 |
| In a carnival game | 0.25$ loss per game |
| Favorite NBA team (117 to 118) | 69% |
| Loaded dice chance of turning up is 1/5 | 1/750 |
| 720 permutations | 432516 |
| Local weather forecast | 3/5 |
| In 1969, world series (chance ending where it began) | 5/8 |
| In carnival game, 5 coins are tossed | 95 cents |
| Having lost a checker game | 1/23 |
| Expert in transformer design | 291 |
| Mathematician clock stopped | t2 + 1/2 [(T2 - T1) - t2 - t1)] |
| Sharp operator | E = 6, 4$ per game |
| stogey | Yes, 1st player should place 1st cigar vertically on flat and over the center of table |
| Manyards grandfather clock | Must retire at 9PM or 3AM |
| Fast major league Baseball game | 25 pitches |
| 12, 1, 1, 1... | 2 , 1, 3 |
| State university football | 0, 3 ,6, 8 |
| Neat computer programmer (how many shirts?) | 15 |
| Excursion bus | Included in 18 children are 8 marries couples |
| Jack Beanstalk height 100 times | 198 days |
| Six boys in a Hockey Game | Choose 10 |
| Jigsaw puzzle | 99 moves |
| Novice Librarian | Between 10 and 3 |
| What operation can be performed 3 successive times | Turning |
| A simple cipher sub | Nearby, walrus, asylum |
| A safe has 3 dials | Pyx |
| A lighthouse show 3 successive... | 1/6 |
| Dave (how many hearts?) | 4 hearts |
| In a memorable game (how many walks) | 30 straight walks |
| How many were met between the towns | 764,488 |
| Dr. reed arriving late | Gain (60/143 min) |
| 4:00 - 5:00 (exchange positions) | 4:26.8531 |
| Two men walking (freight trains overtakes) | 5562 sec |
| French tricolor | 50 flags |
| Cubical box a = 1, p = √ 15 | 3.62 or 1.38 |
| Citizens of franistan pay as much income tax | 50 rupees |
| Triangular flights | 12 flights |
| Two snails | V1 = 0.74 V2 |
| Necklace (pearls) | 33 pearls |
| FORGETFUL PHYSICIST | 2H 54M 35S |
| FACES OF SOLID FIGURE | 14 FACES |
| ATOM SMASHER | 1,437.45 ft |
| SPIDER/FLY | √ 8 or 4.24 units |
| IN A ROOM (BUG) | 58 ft |
| Circles of Radius 1 inch (sum of circumference) | 5π |
| A farmer owned a square field (minimum length) | 2018 |
| A man leaves from a point where prime meridian crosses | √ 2x10^7 m |
| Near the town of | 600 yards |
| Three hares standing in a triangular field | 100 yards |
| Scalene triangle ABC (minimum perimeter) | 25, 16, 39 |
| A one acre field (sheep/goat tied) | 1 acre |
| A divided highway (semi-ellipse) | 6√ 5 ft or 13'5" |
| A cowboy is 5 miles south (shortest distance) | 8√ 5 miles or 17.9 miles |
| While still a sizable distance | 1/2 proba |
| A pirate buried his treasure | will lie outside the triangle |
| Origami expert | 24 inches |
| Ben azoulli (oasis) | 36 miles (2 day trip) |
| Football (seam) | 20.69 inches |