MSTE B-E Flashcards by KYLLE ANDRIE TAN

In a lottery the total prize money available was a million dollars, paid out in prizes which
were powers of $11 viz., $1, $11, $121, etc. Noe more than 6 people received the same prize.
How many prize winners were there, and how was the money distributed?

A. 10
B. 20
C. 30
D. 40

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Maynard the Census Taker visited a house and was told, “Three people live there. The
product of their ages is 1296, and the sum of their ages is our house number.” After an
hour of cogitation Maynard returned for more information. The house owner said, “I
forgot to tell you that my son and grandson live here with me.” How old were the occupants
and what was their street number?

A. Age = 2 and 20 , St. No. = 71
B. Age = 1 and 18, St. No = 73
C. Age = 1 and 19, St. No. = 72
D. Age = 1 and 18, St. No. = 72

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Dr. Reed, arriving late at the lab one morning, pulled out his watch and the hour hand are
exactly together every sixty-five minutes.” Does Dr. Reed’s watch gain or lose, and how
much per hour?

A. Gains 60/143 minutes
B. Loses 60/143 minutes
C. Gains 60/144 minutes
D. Gains 60/142 minutes

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A salesman visits ten cities arranged in the form of a circle, spending a day in each. He
proceeds clockwise from one city to the next, except whenever leaving the tenth city. How
many days must elapse before his location is completely indeterminate, i.e., when he could
be in any one of the ten cities?

A. 82
B. 83
C. 84
D. 85

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A man walks one mile south, one mile west, and then one mile north ending where he
began. From how many points on the surface of the earth can such a journey be made?
(There are more than 1)

A. 0
B. 1
C. Infinite
D. None of the above

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How many colors are necessary for the squares of a chessboard in order to assure that a
bishop cannot move from one square to another of the same color?

A. 8
B. 9
C. 10
D. 11

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Six boys on a hockey team pick a captain by forming a circle and counting out until only
one remains. Joe is given the option of deciding what number to count by. If he is second
in the original counting order what number should he choose?

A. 11
B. 10
C. 12
D. 13

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Six grocers in a town each sell a different brand of tea in four ounce packets at 25 cents
per packet. One of the grocers gives short weight, each packet of his brand weighing only
3 ¾ ounces. If I can use a balance for only one weighing, what is the minimum amount I
must spend to be sure of finding the grocer who gives short weight?

A. 3.6 dollars
B. 3.7 dollars
C. 3.8 dollars
D. 3.9 dollars

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On a certain day, our parking lot contains 999 cars, no two of which have the same 3- digit
license number. After 5:00 p.m. what is the probability that the license numbers of the
first 4 cars to leave the parking lot are in increasing order of magnitude?

A. 4!
B. 5!
C. 3!
D. 6!

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1960 and 1961 were bad years for ice cream sales but 1962 was very good. An accountant
was looking at the tonnage sold in each year and noticed that the digital sum of the tonnage
sold in 1962 was three times as much as the digital sum of the tonnage sold in 1961.
Moreover, if the amount sold in 1960 (346 tons), was added to the 1961 tonnage, this total
was less than the total tonnage sold in 1962 by the digital sum of the tonnage sold in that
same year. Just how many more tons of ice cream were sold in 1962 than in the previous
year?

A. 358
B. 359
C. 360
D. 361

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In European countries the decimal point is often written a little above the line. An
American, seeing a number written this way, with one digit on each side of the decimal
point, assumed the numbers were to be multiplied. He obtained a two-digit number as a
result, but was 14.6 off. What was the original number?

A. 5.2 = 20
B. 5.3 = 20
C. 5.4 = 20
D. 5.4 = 21

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Three hares are standing in a triangular field which is exactly 100 yards on each side. One
hare stands at each corner; and simultaneously all three set off running. Each hare runs
after the hare in the adjacent corner on his left, thus following a curved course which
terminates in the middle of the field, all three hares arriving there together. The hares
obviously ran at the same speed, but just how far did they run?

A. 99 yards
B. 100 yards
C. 101 yards
D. 102 yards

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A one-acre field in the shape of a right triangle has a post at the midpoint of each side. A
sheep is tethered to each of the side posts and a goat to the post on the hypotenuse. The
ropes are just long enough to let each animal reach the two adjacent vertices. What is the
total area the two sheep have to themselves, i.e., the area the goat cannot reach?

A. one acre
B. two acre
C. three acre
D. four acre

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A rectangular picture, each of whose dimensions is an integral number of inches, has an
ordinary rectangular frame 1 inch wide. Find the dimensions of the picture if the area of
the picture and the area of the frame are equal.

A. 2x10
B. 4x6
C. 3x10
D. 5x7

B or C

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An Origami expert started making a Nani- des-ka by folding the top left corner of a sheet
of paper until it touched the right edge and the crease passed through the bottom left
corner. He then did the same with the lower right corner, thus making two slanting parallel
lines. The paper was 25 inches long and the distance between the parallel lines was exactly
7/40 of the width. How wide was the sheet of paper?

A. 21 inches
B. 22 Inches
C. 23 inches
D. 24 inches

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The Sultan arranged his wives in order of increasing seniority and presented each with a
golden ring. Next, every 3rd wide, starting with the 2nd, was given a 2nd ring; of these
every 3rd one starting with the 2nd received a 3rd ring, etc. His first and most cherished
wife was the only one to receive 10 rings. How many wives had the Sultan?

A. 9840 wives
B. 9841 wives
C. 9842 wives
D. 9843 wives

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The undergraduate of a School of Engineering wished to form ranks for a parade. In ranks
of 3 abreast, 2 m2n were left over; in ranks of 5, 4 over; in 7’s, 6 over; and 11’s, 10 over.
What is the least number of marchers there must have been?

A. 1151
B. 1152
C. 1154
D. 1155

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Find the smallest number (x) of persons a boat may carry so that (n) married couples may
cross a river in such a way that no woman ever remains in the company of any man unless
her husband is present. Also find the least number of passages (y) needed from one bank
to the other. Assume that the boat can be rowed by one person only.

A. No of Person = 2 ; No of Passage = 5
B. No of Person = 3 ; No of Passage = 4
A. No of Person = 2 ; No of Passage = 4
A. No of Person = 3 ; No of Passage = 5

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The sum of the digits on the odometer in my car (which reads up to 99999.9 miles) has
never been higher than it is now, but it was the same 900 miles ago. How many miles must
I drive before it is higher than it is now?

A. 99
B. 100
C. 101
D. 102

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A certain magic square contains nine consecutive 2-digit numbers. The sum of the
numbers in any line is equal to one of the numbers in the square with the digits reversed.
This is still the case if 7 is added to each entry. What is the number in the center square?

A. 5pi
B. 17
C. 100
D. 25

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Two men are walking towards each other at the side of a railway. A freight train overtakes
one of them in 20 seconds and exactly ten minutes later meets the other man coming in
the opposite direction. The train passes this man in 18 seconds. How long after the train
has passed the second man will the two men meet? (Constant speeds are to be assumed
throughout.)

A. 5562
B. 136
C. 169
D. 83

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Two snails start from the same point in opposite directions toward two bits of food. Each
reaches his destination in one hour. If each snail had gone in direction the other took, the
first snail would have reached his food 35 minutes after the second. How do their speeds
compare?

A. 1/2
B. 3/4
C. 2/3
D. 1

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A pupil wrote on the blackboard a series of fractions having positive integral terms and
connected by signs which were either all + or all x, although they were so carelessly written
it was impossible to tell which they were. It still wasn’t clear even though he announced
the result of the operation at every step. The third fraction had denominator 19. What was
the numerator?

A. 0.514
B. 25
C. 35
D. 24

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Mr. Field, a speeder, travels on a busy highway having the same rate of traffic flow in each
direction. Except for Mr. Field, the traffic is moving at the legal speed limit. Mr. Field
passes one car for every nine which he meets from the opposite direction. By what
percentage is he exceeding the speed limit?

A. 24%
B. 25%
C. 26%
D. 27%

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In a carnival game, 12 white balls and 3 black balls are put in an opaque bottle, shaken up, and drawn out one at a time. Thee player gets 25 cents for each white ball which emerges before the first black ball. If he pays one dollar to play, how much can be he expect to win) or lose) on each game? A. Loss 24 cents/game B. Gains 25 cents/game C. Loss 25 cents/game D. Loss 24 cents/game

There are four volumes of an encyclopedia on a shelf, each volume containing 300 pages, (that is, numbered 1 to 600), but these have been placed n the shelf in random order. A bookworm starts at the first page of Vol. 1 and eats his way through to the last page of Vol. 4. What is the expected number of pages (excluding covers) he has eaten through? A. 5562 B. 100 C. 500 D. 700

Venusian batfish come in three sexes, which are indistinguishable (except by Venusian batfish). How many live specimens must our astronauts bring home in order for the odds to favor the presence of a “mated triple” with its promise of more little batfish to come? A. 6 B. 23 C. 4 D. 8

Dr. Fubisher LaRouche, the noted mathematician, was shoping at a hardware store and asked the price of certain articles. The salesman replied. “One would cost 10 cents, eight would ost 10 cents, seventeen would cost 20 cents, one hundred and four would cost 30 cents, seven hundred and fifty-six would aslo cost 30 cents, and one thousand and seventytwo would cost 40 cents.” What was Dr. LaRouche buying? A. 20 cent/number B. 15 cent/number C. 25 cent/number D. 10 cent/number

In a memorable game with the Podunk Polecats, the Mudville Mets established a record. They received the maximum number of walks possible in one inning in which one player (who happened to ne the Mighty Casey) was up three times and accounted for all three outs. How many walks did Podunk allow in that tedious half-inning? A. 10 B. 20 C. 30 D. 40

In the game “subtract-a-square,” a positive integer is written down and two players alternately subtract squares from it with the restriction that the remainder must never be less than zero. The player who leaves zero wins. What square should the first player subtract if the original number is 29? A. 9 B. 10 C. 11 D. 12

Maynard’s Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, and the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weighs are exactly opposite each other. The weighs are again opposite every six hours thereafter. What is Maynard’s bedtime? A. 6pm or 7am B. 9pm or 3am C. 9pm or 2am D. 3pm or 9am

In a fast Major League baseball game, pitcher Hi N. Outside managed to get by possible. He played the entire game, which was not called prior to completion. How many pitches did he make? A. 23 pitches B. 24 pitches C. 25 pitches D. 26 pitches

A hospital nursery contains only two baby boys; the girls have not yet been counted. At 2:00 p.m. a new baby is added to the nursery. A baby is then selected at random to be the first to have its footprint taken. It turns out to be a boy. What is the probability that the last addition to the nursery was a girl? A. 1/2 B. 2/5 C. 2/3 D. 3/4

If two marbles are removed at random from a bag containing lack and white marbles, the chance that they are both white is 1/3. If 3 are removed at random, the chance that they all are white is 1/6. How many marbles are there of each color? A. 3 whites, 2 black B. 4 whites, 3 black C. 5 white, 4 black D. 6 white, 4 black

A chemist has three large test tubes and a beaker with 54 c.c. of elixir. Using the test tubes and ingenuity only, how can he retain 50 c.c. in the beaker? A. 30 B. 40 C. 50 D. 60

A neat computer programmer wears a clean shirt every day. If he drops off his laundry and picks up the previous week’s load every Monday night, how many shirts must he own to keep him going? A. 14 B. 13 C. 15 D. 16

A sharp operator makes the following deal. A player is to toss a coin and receive 1, 4, 9, ….. n2 dollars if the first head comes up on the first, second, third,… n-th toss. The sucker pays ten dollars for this. How much can the operator expect to make if this repeated a great many times? A. 3 dollars/game B. 4 dollars/game C. 5 dollars/game D. 6 dollars/game

An expert on transformer design relaxed one Saturday by going to the races. At the end of the first race he had doubled his money. He bet $30 on the second race and tripled his money. He bet $54 on the third race and quadrupled his money. He bet $72 on the fourth race and lost it, but still had $48 left. With how much money did he start? A. 28 B. 29 C. 30 D. 31

Citizens of Franistan pay as much income tax (percentage-wise) as they make rupees per week. What is the optimal salary in Franistan? A. 10 rupees B. 90 rupees C. 50 rupees D. 100 rupees

A necklace consists of pearls which increase uniformly from a weight of 1 carat for the end pearls to a weight of 100 carats for the middle pearl. If the necklace weighs altogether 1650 carats and the clasp and string together weigh as much (in carats) as the total number of pearls, how many pearls does the necklace contain? A. 33 pearls B. 34 pearls C. 35 pearls D. 32 pearls

. The teacher marked the quiz on the following basis: one point for each correct answer, one point off for each question left blank and two points off for each question answered incorrectly. Pat made four times as many errors as Mike, but Mike left nine more questions blank. If they both got the same score, how many errors did each make? A. Pat = 4, Mike = 2 B. Pat = 8, Mike = 2 C. Pat = 2, Mike = 4 D. Pat = 2, Mike = 8

My house is on a road where the numbers run 1, 2, 3, 4… consecutively. My number is a three digit one and, by a curious coincidence, the sum of all house numbers less than mine is the same as the sum of all house numbers greater than mine. What is my number and how many houses are there on my road? A. House No. = 205, No. of houses = 204 B. House No. = 204, No. of houses = 205 C. House No. = 208, No. of houses = 204 D. House No. = 204, No. of houses = 208

Four players played a hand of hearts at $1 a point (pairwise payoffs). Dave lost $10 to Arch, $12 to Bob, and $20 to Chuck. How many hearts did poor Dave take in? A. 1 B. 2 C. 3 D. 4

. All the members of a fraternity play basketball while all but one play ice hockey; yet the number of possible basketball teams (5 members) is the same as the number of possible ice hockey teams (6 members). Assuming there are enough members to form either type of team, how many are in the fraternity? A. 10 B. 15 C. 20 D. 25

A game of super-dominoes is played with pieces divided into three cells instead of the usual two, containing all combinations from triple blank to triple six, with no duplications. For example, the set does not include both 1 2 3 and 3 2 1 since these are merely reversals of each other. (But, it does contain 1 3 2.) How many pieces are there in a set? A. 136 B. 163 C. 196 D. 169

. A spider and a fly are located at opposite vertices of a room of dimensions 1, 2 and 3 units. Assuming that the fly is too terrified to move, find the minimum distance the spider must crawl to reach the fly A. 17 B. 18 C. 19 D. 20

A circle of radius 1 inch is inscribed in an equilateral triangle. A smaller circle is inscribed at each vertex, tangent to the circle and two sides of the triangle. The process is continued with progressively smaller circles. What is the sum of the circumference of all circles? A. 5pi B. 4pi C. 3pi D. 6pi

Max and his wife Min each toss a pair of dice to determine where they will spend their vacation. If either of Mins dice displays the same number of spots as either of Max’s, she wins and they go to Bermuda. Otherwise, they go to Yellowstone. What is the chance they’ll see “Old Faithful” this year? A. 0.541 B. 0.514 C. 0.154 D. 0.451

How many three-digit telephone area codes are possible given that: (a) the first digit must not be zero or one; (b) the second digit must be zero or one; (c) the third digit must not be zero; (d) the third digit may be one only if the second digit is zero? A. 163 B. 136 C. 169 D. 196

Rigorously speaking, two men are “brothers- in-law” if one is married to the full sister of the other. How many men can there be with each man a brother-in-law of every other man? A. 3 B. 4 C. 5 D. 6

A forgetful physicist forgot his watch one day and asked an E.E. on the staff what time it was. The E.E. looked at his watch and said: “The hour, minute, and sweep second hands are as close to trisecting the face as they ever come. This happens only twice in every 12 hours, but since you probably haven’t forgotten whether you ate lunch, you should be able to calculate the time.” What time was it to the nearest second? A. 2:45:53 and 9:50:52 B. 2:54:35 and 9:05:25 C. 2:55:25 and 9:50:35 D. 2:54:55 and 9:45:25

A diaper is in the shape of a triangle with sides 24, 20 and 20 inches. The long side is wrapped around the baby’s waist and overlapped two inches. The third point is brought up to the center of the overlap and pinned in place. The pin is to go through three thicknesses of material. What is the area in which the pin may be placed? A. 1.5 B. 2 C. 2.5 D. 3

In Byzantine basketball there are 35 scores which are impossible for a team to total, one of them being 58. Naturally a free throw is worth fewer points than a field goal. What is the point value of each? A. Free throw = 8, Field goal = 11 B. Free throw = 11, Field goal = 8 C. Free throw = 8, Field goal = 18 D. Free throw = 18, Field goal = 11

A man leaves from the point where the prime meridian crosses the equator and moves forty-five degrees northeast by geographic compass which always points toward the north geographic pole. He constantly corrects his route. Assuming that he walks with equal facility on land and sea, where does he end up and how far will he have traveled when he gets there? A. North Pole, sqrt 2x10^7 B. North Pole, sqrt 7x10^2 C. North Pole, sqrt 3x10^2 D. North Pole, sqrt 2x10^3

A cowboy is five miles south of a stream which flows due east. He is also 8 miles west and 6 miles north of his cabin. He wishes to water his horse at the stream and return home. What is the shortest distance he can travel and accomplish this? A. 19.7 miles B. 16.7 miles C. 17.9 miles D. 17.7 miles

The Ben Azouli are camped at an oasis 45 miles west of Taqaba. They decided to dynamite the Trans-Hadramaut railroad joining Taqaba to Maqaba, 60 miles north of the oasis. If the Azouli can cover 18 miles a day, how long will it take them to reach the railroad? A. 1 B. 2 C. 3 D. 4

A student beginning the study of Trigonometry came across an expression of the form sin (X + Y). He evaluated this as sin X + sin Y. Surprisingly he was correct. The values of X and Y differed by 10˚; what were these values, assuming that 0˚ < X < Y < 360˚? A. x = 165, y = 175 B. x = 175, y =185 C. x = 185, y = 175 D. x = 175, y = 165

Dad and his son have the same birthday. One the last one, Dad was twice as old as Junior. Uncle observed that this was the ninth occasion on which Dad’s birthday age has been an integer multiple of Junior’s. How old is Junior? A. Junior = 36, Dad = 72 B. Junior = 34, Dad = 72 C. Junior = 35, Dad = 71 D. Junior = 36, Dad = 73

Between Kroflite and Beeline are five other towns. The seven towns are an integral number of miles from each other along a straight road. The towns are so spaced that if one knows the number of miles a person has traveled between any two towns he can determine the particular towns uniquely. What is the minimum distance between Kroflite and Beeline to make this possible? A. 24 B. 25 C. 26 D. 27

There are three families, each with two sons and two daughters. In how many ways can all these young people be married? A. 75 B. 85 C. 90 D. 80

In the final seconds of the game, your favorite N.B.A team is behind 117 to 118. Your center attempts a shot and is fouled for the 2nd time in the last 2 minutes as the buzzer sounds. Three to make two in the penalty situation. Optimistic? Note: the center is only a 50% freethrower. What are your team’s overall chances of winning? A. 96% B 36% C. 69% D. 63%

Two wheels in the same plane are mounted on shafts 13 in. apart. A belt goes around both wheels to transmit power from one to the other. The radii of the two wheels and the length of the belt not in contact with the wheels at any moment are all integers. How much larger is one wheel than the other? A. 4 inches B. 3 inches C. 5 inches D. 6 inches

A group of hippies are pondering whether to move to Patria, where polygamy is practiced but polyandry and spinsterhood are prohibited, or Matria, where polyandry is permitted and polygamy and bachelorhood are proscribed. In either event the possible number of “arrangements” is the same. The girls outnumber the boys. How many are there? A. Boys = 3, Girls = 2 B. Boys = 4, Girls = 2 C. Boys = 3, Girls = 5 D. Boys = 2, Girls = 4

Three farmers, Adams, Brown and Clark all have farms containing the same number of acres. Adams’ farm is most nearly square, the length being only 8 miles longer than the width. Clark has the most oblong farm, the length being 34 miles longer than the width. Brown’s farm is intermediate between these two, the length being 28 miles longer than the width. If all the dimensions are in exact miles, what is the size of each farm? A. Adam = 40x47 ; Brown = 30x63 ; Clark = 30x64 B. Adam = 40x46 ; Brown = 30x63 ; Clark = 30x64 C. Adam = 40x48 ; Brown = 32x60 ; Clark = 30x64 D. Adam = 40x48 ; Brown = 30x64 ; Clark = 32x60

At this moment, the hands of a clock in the course of normal operation describe a time somewhere between 4:00 and 5:00 on a standard clock face. Within one hour or less, the hands will have exactly exchanged positions; what time is it now? A. 4:27.853 B. 4:25.853 C. 4:26.853 D. 4:28.853

Three rectangles of integer sides have identical areas. The first rectangle is 278 feet longer than wide. The second rectangle is 96 feet longer than wide. The third rectangle is 542 feet longer than wide. Find the area and dimensions of the rectangles. A. Area = 1,466,690 ; Dimension = (1080x1358) ; (1163x1260) ; (970x1512) B. Area = 1,469,960 ; Dimension = (1086x1348) ; (1160x1260) ; (970x1512) C. Area = 1,465,960 ; Dimension = (1086x1348) ; (1160x1260) ; (970x1512) D. B. Area = 1,469,960 ; Dimension = (1080x1348) ; (1163x1260) ; (970x1521)

Rufus T. Flypaper drives two miles to work every morning- Very precise, he knows he must average 30 mph to arrive on time. One morning a woman driver impedes him for the first mile, cutting his average to only l5 mph. He quickly calculated his proper speed for the rest of his trip to arrive on time. Assume that his car could do 120 mph. Could he arrive on time? A. No; he has already used 3 minutes, the time that he has to go the whole 4 miles. B. No; he has already used 2 minutes, the time that he has to go the whole 4 miles. C. Yes; he has already used 4 minutes, the time that he has to go the whole 2 miles. D. No; he has already used 4 minutes, the time that he has to go the whole 2 miles.

Stations A and B are 120 miles apart on a single-track railroad. At the same time that a train leaves A for B at 25 mph, a train leaves B for A at 15 mph. Just as the first train leaves A, a South American botfly flies from the front of the engine straight toward the other train at 100 mph. On meeting the second train it immediately turns back and flies straight for the first train. It continues to fly back and forth with undiminished speed until it is crushed in the eventual collision. How far had the fly flown? A. 400 miles B. 300 miles C. 500 miles D. 600 miles

Maynard's Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weights are exactly opposite each other. The weights are again opposite every six hours thereafter. What is Maynard's bedtime? A. 9 p.m. or 3 a.m. B. 3 p.m. or 9 a.m. C. 9 p.m. or 2 a.m. D. 3 p.m. or 3 a.m.

Two squares are removed from opposite corners of a checkerboard leaving 62 squares. Can the checkerboard be filled with 31 dominoes, each domino covering two adjacent squares? A. yes B. no C. maybe D. none of the above

[MAY 2017] Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m., and moves at a uniform rate, how can a lost boy scout determine south by means of a watch on a cloudless day? A. Align the minute hand with the sun’s azimuth, and south will be midway between the hour hand and 12. B. Align the hour hand with the sun’s azimuth, and south will be midway between the hour hand and 12. C. Align the hour hand with the sun’s azimuth, and south will be midway between the hour hand and 11. D. Align the hour hand with the sun’s azimuth, and south will be midway between the hour hand and 10.

What letter follows OTTFFSSE_? A. L B. M C. N D. O

The numbers are divided into three groups as follows: 0, 3, 6, 8, 9, … in the first group, 1, 4, 7, 11, 14, … in the second group and 2, 5, 10, 12, 13, … in the third. In which groups would 15, 16 and 17 be placed? A. 16 and 15 in the third group, 17 in the second group B. 17 and 16 in the third group, 15 in the second group C. 15 and 16 in the third group, 17 in the second group D. 17 and 15 in the third group, 16 in the second group

In a fast Major League baseball game, pitcher Hi N. Outside managed to get by with the minimum number of pitches possible. He played the entire game, which was not called prior completion. How many pitches did he make? A. 26 B. 27 C. 28 D. 29

Determine the next three terms of the sequence 12, 1, 1, 1, … A. 2, 1, and 4 B. 2, 0, and 3 C. 2, 4, and 3 D. 2, 1, and 3

[MAY 2017] What is the least number of links that must be disengaged from a 23-link chain so that any number of links from 1 to 23 can be obtained by taking one or more of the pieces? A. Two (4th and 11th chain) B. Two (5th and 11th chain) C. Two (4th and 10th chain) D. Two (5th and 10th chain)

The set A contains the integers 0, 4, 5, 9, 11, 12, 13, 14, 19, … The set B contains 1, 2, 3, 6, 7, 8, 10, 15, 16, 17, 18, … Place the 20 and 21 in their proper sets. A. 21 is in A, 20 is in B B. 20 is in A, 21 is in B C. 22 is in A, 21 is in B D. 21 is in A, 21 is in B

How many colors are necessary for the squares of a chessboard in order to assure that a bishop cannot move from one square to another of the same color? A. 7 B. 8 C. 9 D. 10

[MAY 2019] The passengers on an excursion bus consisted of 14 married couples, 8 of whom brought no children, and 6 of whom brought 3 children apiece. Counting the driver, the bus had 31 occupants. How is this possible? A. Included among the 18 children were 9 married couples B. Included among the 18 children were 7 married couples C. Included among the 18 children were 8 married couples D. Included among the 18 children were 6 married couples

Very few people are aware of the growth pattern of Jack’s beanstalk. On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on. How long did it take to achieve its maximum height (100 times its original height)? A. 198 days B. 199 days C. 197 days D. 196 days

A jig-saw puzzle contains 100 pieces. A "move" consists of connecting two clusters (including "clusters" of just one piece.) What is the minimum number of moves required to complete the puzzle. A. 97 B. 98 C. 99 D. 100

[NOV 2023] A novice librarian shelved a twelve-volume set of encyclopedias in the following order from left to right. Volume 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 12, and 2. Using her system, where will the annual supplement, Volume 13, go? A. Between volumes 11 and 3 B. Between volumes 10 and 4 C. Between volumes 10 and 3 D. Between volumes 11 and 4

With some sharp reasoning, you ought to be able to determine the last member of the sequence for which the first 20 members are: 11, 31, 71, 91, 32, 92, 13, 73, 14, 34, 74, 35, 95, 16, 76, 17, 37, 97, 38, 98, __? A. 77 B. 78 C. 79 D. 76

[NOV 2021] A lighthouse shows successive one-second flashes of red, white, green, green, white, red. A second lighthouse does the same only with two-second flashes. The six-second sequence of the first lighthouse is repeated steadily, as is the twelve-second sequence of the other lighthouse. What fraction of the time do the two lights show the same color if the given sequences start at the same time? A. 1/5 B. 1/6 C. 1/7 D. 1/3

Four players played a hand of hearts at $1 a point (pairwise payoffs). Dave lost $10 to Arch, $12 to Bob, and $20 to Chuck. How many hearts did poor Dave take in? A. 2 hearts and the queen of spades B. 3 hearts and the queen of spades C. 4 hearts and the queen of spades D. 1 heart and the queen of spades

On a certain campus liberal arts students always lie and engineers always tell the truth. A stranger meets 3 students and asks the first if he is studying liberal arts. The first answers the question, but the stranger doesn't hear him. The second student then says that the first denied being a liberal arts student. Then the third student says that the first is really a liberal arts student. How many are Iiberal arts students? Can we decide which? A. 1, the first B. 2, the first C. 3, the first D. 4, the first

Four boys, Alan, Brian, Charles, and Donald, and four girls, Eve, Fay, Gwen, and Helen are each in love with one of the others, and, sad to say, in no case is their love requited. Alan loves the girl who loves the man who loves Eve. Fay is loved by the man who is loved by the girl loved by Brian. Charles loves the girl who loves Donald. If Brian is not loved by Gwen, and the boy who is loved by Helen does not love Gwen, who loves Alan? A. Eve loves Alan B. Brian loves Alan C. Helen loves Alan D. Gwen loves Alan

A canoe is floating in a swimming pool. Which will raise the level of the water in the pool higher, dropping a penny into the pool or into the canoe? Or does it make any difference? A. Dropping it into the canoe will lessen the water level lower. B. Dropping it into the canoe will raise the water level higher. C. Dropping it into the canoe will lessen the water level higher. D. Dropping it into the canoe will raise the water level lower.

Five suspects were rounded up in connection with the famous "Cock Robin Murder.” Their statements were as follows: A: "C and D are lying.” B: "A and E are lying.” C: "B and D are lying.” D: "C and E are lying.” E: "A and B are lying.” Who is lying? A. A is lying B. B is lying C. C is lying D. D is lying

Six grocers in a town each sell a different brand of tea in four-ounce packets at 25 cents per packet. One of the grocers gives short weight, each packet of his brand weighing only 3 3/4 ounces. If I can use a balance for only one weighing, what is the minimum amount I must spend to be sure of finding the grocer who gives short weight? A. 3.5 dollars B. 3.6 dollars C. 3.7 dollars D. 3.8 dollars

A lamp has three on-off buttons, all of which must be on for the lamp to light. A man wishes to turn on the lamp at a moment when only the second switch is off. He does not know this and proceeds to press the first button. Getting no result, he presses the second and eventually, on the seventh trial, (never repeating any onoff configuration), the lamp finally lights. In what order did he press the buttons? A. 1-3-3-2-1-2-3 B. 2-1-3-2-1-3-2 C. 1-2-3-2-1-2-3 D. 3-2-1-2-1-2-3

A game proceeds as follows: Smith starts with a 10-link chain and removes any single link, presenting Jones either with a 9-link chain or two chains having a total of 9 links. Jones removes any one link from each of the chains. Smith removes any one link from each of the remaining chains and so on, until the winner removes the last link or links. What should Smith do first? A. Leave two chains of 6 and 3 links B. Leave two chains of 3 and 6 links C. Leave two chains of 9 and 6 links D. Leave two chains of 6 and 9 links

[APR 2023] In Bristol 90% of the citizens drink tea; 80% drink coffee; 70% drink whiskey; and 60% drink gin. No one drinks all four beverages. What percent of Bristol’s citizen drink liquor? A. 90% drink liquor B. 80% drink liquor C. 100% drink liquor D. 95% drink liquor

[MAY 2017] You and a friend spot a loose $20 bill simultaneously and agree to an auction in which you write down your bids and compare them. High bidder gets the $20 and pays the other the amount of the higher bid. Tie bidders split the $20. How much do you bid? A. $9.69 B. $9.79 C. $9.89 D. $9.99

A gambler devised a game to be played with a friend. He bet 1/2 the money in his pocket on the toss of a coin; heads he won, tails he lost. The coin was tossed, and the money handed over. The offer was repeated, and the game continued. Each time the bet was for 1/2 the money then in his possession. Eventually the number of times he lost was equal to the number of times he won. Quickly now! Did he gain, lose, or break even? A. He lost B. He gain C. Break even D. He won

A prisoner is given 10 white balls, 10 black balls and two boxes. He is told that an executioner will draw one ball from one of the two boxes. If it is white, the prisoner will go free; if it is black, he will die. How should the prisoner arrange the balls in boxes to give himself the best chance for survival? A. 1 white ball in one box and the remaining balls in the other box (77.3%) B. 2 white ball in one box and the remaining balls in the other box (73.7%) C. 1 white ball in one box and the remaining balls in the other box (73.7%) D. 1 white ball in one box and the remaining balls in the other box (70.7%)

[NOV 2019] Smith and Jones, both 50% marksmen, decide to fight a duel in which they exchange alternate shots until one is hit. What are the odds in favor of the man who shoots first? A. 1/3 B. 2/3 C. 1/4 D. 1/2

There are n points on a circle. A straight-line segment is drawn between each pair of points. How many intersections are there within the circle if no 3 lines are collinear? A. nC2 or nP2 / 24 B. nC3 or nP3 / 24 C. nC4 or nP4 / 24 D. nC5 or nP5 / 24

On a certain day, our parking lot contains 999 cars, no two of which have the same 3-digit license number. After 5:00 p.m. what is the probability that the license numbers of the first 4 cars to leave the parking lot are in increasing order of magnitude? A. 1/12 B. 1/16 C. 1/24 D. 1/32

[NOV 2016] Three marksmen simultaneously shoot at and hit a rapidly spinning spherical target. What is the probability that the three points of impact are on the same. A. 1 B. 2 C. 3 D. 4

Assume that a single depth charge has a probability of 1/2 of sinking a submarine, 1/4 of damage and 1/4 of missing. Assume also that two damaging explosions sink the sub. What is the probability that 4 depth charges will sink the sub? A. 253/256 B. 255/256 C. 249/256 D. 251/256

What is the most likely distribution of the suits in a hand at Bridge? A. 4-4-3-2 B. 4-3-4-2 C. 4-2-3-4 D. 4-2-3-2

An expert gives team A only a 40% chance to win the World Series. Basing his calculation on this a gambler offers 6 to 5 odds on team B to win the first game. Is his judgment sound? A. YES B. NO C. MAYBE D. NONE OF THE ABOVE

A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one. What is the probability of getting heads in a single throw? A. 0.618 B. 0.518 C. 0.816 D. 0.815

Three dart players threw simultaneously at a tic-tac-toe board, each hitting a different square. What is the probability that the three hits constituted in a win at tictac-toe? A. 4/21 B. 6/21 C. 2/21 D. 1/21

Four swimming pool builders submit sealed bids to a homeowner who is required by law to accept the last bid that he sees, i.e., once he looks at a bid, he automatically rejects all previous bids. He is not required to open all the envelopes, of course. Assuming that all four bids are different, what procedure will maximize his chances of accepting the lowest bid. and what will be the probability of doing so? A. 10/24 B. 9/24 C. 11/24 D. 13/24

Martian coins are 3-sided (heads, tails, and torsos), each side coming up with equal probability. Three Martians decided to go odd-man-out to determine who pays a dinner check. (If two coins come up the same and one different, the owner of the latter coin foots the bill). What is the expected number of throws needed in order to determine a loser? A. 0.5 throws B. 1.5 throws C. 2.5 throws D. 3.5 throws

Six men decide to play Russian roulette with a six-gun loaded with one cartridge. They draw for position, and afterwards' the sixth man casually suggests that instead of letting the chamber rotate in sequence, each man spin the chamber before shooting. How would this improve his chances? A. 0.4 B. 0.3 C. 0.2 D. 0.1

A long shot poker player draws two cards to the five and six of diamonds and the joker. What are his chances of coming up with a pat hand? (straight or flush) A. 0.186 B. 0.168 C. 0.861 D. 0.618

In Puevigi, the game of craps is played with a referee calling the point by adding together the six faces (three on each die) visible from his vantage point. What is the probability of making 16 the hard way? (That is, by throwing two eights.) A. 0 B. 1 C. 2 D. 3

Max and his wife Min each toss a pair of dice to determine where they will spend their vacation. If either of Min's dice displays the same number of spots as either of Max's, she wins, and they go to Bermuda. Otherwise, they go to Yellowstone. What is the chance they'll see "Old Faithful" this year? A. 0.468 B. 0.486 C. 0.684 D. 0.864

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MSTE B-E Flashcards

(113 cards)