Mrs. Simon's Class
Mensa IQ Test(1)??? Which letter does not belong in this series??H D R Y?L(2)?? Which alpha-numeric is the odd one out??9D? 8F? 3E? 6C(3)? If? 52 C in a D? means 52 cards in a deck,? what do the following mean?(a)???? 8S on a SS(b)???? 2S? to? ES(c)???? 1F over the CN(d)???? 1? and? 2? BMS(e)???? 1 P of PP that PPP(f )? ?? 8B and all is W(g)???? 2M for SS(4) ? How can an egg be boiled for 9 minutes using only a 4 minute hourglass timer and a 7 minute hourglass timer? (Pencil and paper may be used.)(5)?? Wendy likes these numbers except one --- Which one?1431???? 6581???? 7243???? 8656(6)?? What word can be made by rearranging these letters?SHMEYTAT? (7)?? The head of a fish is 9 inches long. The body length of the fish between the head and the tail is equal to the head plus the tail. The tail length is equal to the head plus one half of the body length between the head and the tail. This is enough information to work out that the total length of the fish is what? (Pencil and paper may be used.)(8)?? An intrepid Eskimo leaves his igloo and travels 12 kilometers north, 12 kilometers east and 12 kilometers north again to reach the North Pole. How many kilometers does he have to travel to return to his igloo in a straight line?(9)?? This is not a code. When you recognize the logic of this line you will be able to read its contents. What are they?HHTTRUOONS(10)?? Three Eskimos who had returned after a long and dangerous trek to another Inuit settlement were relating details of their arduous journey to their welcoming friends.Anuke said "We were harassed by wolves and chased by polar bears".Binuke said "Our meals consisted mainly of penguin eggs and salmon". Kanyuke said "We saw numerous walruses and seals".One of them was lying --- Who??(11)?? How many Polar bear cubs are swimming in the ice-hole?(12)?? Two spaceships are approaching the planet Gizmo from exactly opposite directions. Spaceship Alpha receives a message from spaceship Beta giving its speed? of approach and indicating that it is 1/10th of a light-year distant from Gizmo.Alpha replies that it is only half as far from Gizmo but is approaching the planet at half of Beta's speed. Which spaceship will reach Gizmo first?(a)? Alpha.(b)? Beta. (c) ?Both spaceships will arrive at the same time. (d) ?Can not be determined.(13)?? Which of the? three designs? a, b or c?? comes next in this series? figs. ?(a)????????????? ??????? (b)??????? ????????????? (c)(14)?? Cerise, Scarlet, Ruby, Jade and Carmine renewed acquaintances when they? attended a college re-union. After a short conversation all but one of the girls decided to form an exclusive group.? Which girl did not join the group? (15)?? The numbers 16, 25, 4 and 9 enjoy each others company.The numbers 13, 7 and 11 would enjoy the company of which of? these numbers? --- 10, 15, 17, 12(16)?? At exactly 5 minutes and 27.34 seconds after 1pm the hour hand and the minutehand of a clock exactly coincide (i.e. the minute hand is over the hour hand).What time is it when the two hands next coincide?(The answer can be found by logic alone --- pencil and paper may be used, but fancy math is not necessary).(17)??? COU??? TVX??? HYK??? EFWWhich letter is in a group of three letters in which it does not belong?(18)? ?"THIS STATEMENT IS FALSE"Which of the following applies to the above statement?(a)? True(b)? False(c)? Can not be resolved?(19)? You have three boxes, one containing only red marbles, one containing only blue marbles and one containing only green marbles.? The boxes have small openings and you cannot see what colour marbles each box contains.? The boxes are ALL incorrectly labeled as to the colour of their contents, red, blue, or green.? How can you determine the correct labeling of the boxes by taking one marble out of one box only.? (Pencil and paper may be used.) (20)?? Penny bought a puppy and a dog-house for $300.? The puppy cost $250 more than the dog-house.? How much did the dog-house cost?? (It obviously didn't cost $50). (21)? In a tug of war, four Tongans can pull as hard as five Samoans.But two Samoans and a Tongan can pull as hard as one Fijian.If the Fijian and two Samoans tugged against the four Tongans, which side would win?(Pencil and paper may be used.) (22)Horace the clockmaker set these five clocks to the correct time before retiring for the night. When he checked them the next morning he noticed that three of the clocks had run erratically during the night.? The other two clocks had run correctly on time but one of them had stopped sometime after midnight.? Which clock is showing the correct time?(23)? Which of the five designs is least like the other four? ?24)? Sloppy Joe is aptly named.? He has a T-shirt that has a label attached to the inside of the front part of his right sleeve.? The brand name on the label reads "AHOY".He turned the T-shirt inside out and put it on back to front.?? Where now is the label and what does it read?(25)?? A traveler came to a crossing of six roads. There was a sign post pointing to the hamlets in the six directions, but a recent storm had turned the signpost so that all the arrows now pointed the wrong way.? How did the traveler find his required direction.(26)? The three Caballeros made a bet amongst themselves as to who owned the slowest horse.? They decided to race against each other, the bet money going to the owner of the horse that finished last.? But each Caballero would be pulling up his horse to almost a stop.? So how did they run a fair race??? (27)? There are five children in the Pentax family. Alvin's sister Becky is younger than Conrad, who is older than Debbie. Debbie has one older brother and a younger sister but her youngest brother Eddy is not the "baby" of the family. In what order are the children from eldest to youngest.? (Pencil and paper may be used).(28)?? E? H? C? A? D? E? ?What letter comes next in this sequence?(29)?? When red is X, green is Y. When green is not Y, blue is Z. But blue is never Z as long as red is X. Therefore which one of these statements is correct?(a)?? While blue is Z, green is Y.(b)?? While red is not X, blue is not Z.(c)?? While green is not Y, red is not X.??(30)? Captain Kelp sailed his ship into port on Sunday, stayed three days, and sailed out on Friday.? How did he perform this seemingly impossible feat?(This is not really an IQ question, but I thought I would throw it in anyway. The time limit does not apply to this teaser).? (1)?? Y does not belong.. Every other letter is the third letter following a vowel.?(2)?? 8f. The word for the number 9 contains 4 letters (nine) so the fourth letter of the alphabet (D) is paired with it. This rule applies to the other pairs as well, except 8F.?(3)? a: 8S on a SS = 8 sides on a stop sign.b: 2S to ES = 2 sides to every story.c: 1F over the CN? = 1 flew over the cuckoo's nest (from a well known movie).d: 1 and 2 BMS = 1 and 2 buckle my shoe.e: 1 P of PP that PPP = 1 peck of pickled peppers that Peter Piper picked..f:? 8B and all is W = 8 bells and all is well (from a watchman's and ship-board sentry's call).g: 2M for SS = 2 mules for sister Sara (from a well known movie). (4)?? Flip both timers over and begin boiling the egg. When the 4 minute hourglass timer runs out, flip it over.When the 7 minute hourglass timer runs out, flip it over. The 4 minute timer will still have another minute to run.When the 4 minute timer runs out the 7 minute will have been running for one minute.Flip the 7 minute timer over and when the minute of sand has run out the egg will have been cooking for 9 minutes (4+4+1).(5)?? 6581. The digits in the number 6581 add to 20. The sum of the digits in the other numbers add to squares (9, 16 and 25).(6) ? AMETHYST(7)?? The length of the fish is 72 inches.The head is 9 inches long. The body equals the head plus the tail. The tail equals the head plus half of the body. Therefore the body equals 9+9+half of the body. But the other half of the body is of course the 9+9 component, Therefore the body is 36 inches (9+9)+(9+9).The fish is the head, plus the body, plus the head plus half of the body.Therefore the fish is 9+36+(9+18) which makes it 72 inches in length.(8)?? 24 kilometers.Being so close to the North Pole, when the Eskimo was traveling in the east direction he would have been moving along the same line of latitude in an arc around the pole, getting no further?or closer to it. From the North Pole he can only travel south, so to return to his igloo from the pole he needs to travel south, in a straight line, the same distance that he traveled north, ?ie 12+12 kilometers. (9)??? The line contains the words NORTH and SOUTH written backwards and inter-spaced.h H t T r U o O n S(10)?? Binuke was lying. Penguins are not found in the Arctic. (And there are no Eskimos in the Antarctic.)(11)?? Three.(12)?? (b) Beta. When Beta sent its message it was 1/10th of? a light-year from Gizmo. The message then traveled another 1/20th of a light-year to reach Alpha (a total distance of 3/20ths of a light-year).Nothing exceeds the speed of light so Beta's message, sent by any means, would take at least 3/20ths of a year (55 days) to reach Alpha. By this time Beta would have traveled much further towards Gizmo, if not already have reached it.(13)?? (b)The pointer initially at the 11 o'clock position on the dial face rotates counter-clockwise two steps at a time.The pointer initially at the 4 o'clock position on the dial face rotates clockwise three steps at a time. (14)?? Jade. All the other girl's are named after shades of red.? Jade is a shade of green.(15)?? The number 17.The numbers 16, 25, 4, 9 are squares. Numbers 13, 7, 11 are Prime numbers divisible only by 1 and themselves. 17 is a prime number. (16) ? 02: 10: 54.68 pmThe two hands of the clock were, of course, coincident at 12 noon.They took 65 minutes and 27.3 seconds to coincide again at 01: 05: 27.3 pm.It will take them another 65 minutes and 27.3 seconds to next coincide.?(17)??? F.? The letters in the first group are written with one line.? The letters in the other groups are written with 2, 3, and 4 lines respectively.? F, written with 3 lines, is in the 4 line group.?? (18)? ?(c).? If the statement is true, then it would be false.? If the statement is false, then it would be true.Therefore the statement can not be resolved.? (19)? Let's say you took a marble out of the green labeled box and it was blue.?? The green labeled box should be correctly re-labeled as the blue marble box.? This leaves the red and green marble boxes.? Obviously the incorrectly labeled red box does not contain the red marbles, so the red box should be labeled green and the originally blue-labeled box now re-labeled red.? The same logic applies regardless of what colour marble was taken out of which box.(20)? $25.? The total cost of $300 was made up of $250 plus the dog-house (for the puppy) plus the dog-house, therefore the puppy cost $275 and the dog-house $25.?(21)? The Fijian and two Samoans would win against the four Tongans.Referring to the team members by their country's initials,4xT = 5xS,? therefore T = 5/4xS, or 1.25xSF = 2xS + T?? = 2xS + 1.25xS ?? = 3.25xSThe team of F + 2xS = 3.25xS +2xS= 5.25xS?whereas 4xT only equals 5xS?(22)? DConsider clock B. The hour hand is pointing to 5 o'clock, but the minute hand is pointing to 8. The angle between the two hands is incorrect.? The angles between the hour and minute hands of clocks C and E are also incorrect.? Clocks A and D have correct angles between their hour and minute hands, but clock A shows an earlier time than clock D, therefore clock A must have stopped during the night.? Clock D is showing the correct time.?(23)?? (D).? It is the only design that has a smaller figure of itself inside.? The other designs have different figures inside.(24)?? The label still reads "AHOY".?? It is now on the outside of the sleeve on his left side, but on the "back".(25)?? He simply turned the signpost so that the correct arrow pointed back to the direction from which he had come. All the other arrows now pointed in their correct directions and the traveler continued on his way. (26)? Each Caballero raced on another Caballero's horse, trying to make it go as fast as it could.(27)?? Conrad,? Debbie,? Alvin,? Eddy,? Becky Conrad is older than Debbie who is older than Alvin and Eddy? (Debbie has only one older brother).If Becky was older than Alvin and/or Eddy? this would make Eddy (who is Debby's youngest brother) the "baby" of the family. But he is not, so Eddy is older than Becky. Eddy is Debbie's? youngest brother, so Alvin is older than Eddy and therefore older than Becky.(28)??i This puzzle is based on the simple Fibonacci numbers sequencezero --- 5? 8? 3? 11? 14? 25? 39 --- infinitywhere each number is the sum of the two preceding numbers.? The positions in the Alphabet of the letters e h c a d e ?? are? 5 8 3 1 4 5 ?This will be recognized as a sequence of the right-most digits of Fibonacci numbers. The next number is 9. 1? 2? 3? 4? 5? 6? 7? 8? 9a? -? c? d? e?? -?? -?? h? iThe letter ( i ) is the 9th letter in the Alphabet.(29)?? (c).? While green is not Y, red is not X.?(30)?? Captain Kelp's ship, on which he sailed out of port, was named after Robinson Crusoe's companion on the island where Crusoe spent his confinement. ................
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