| 91. A man goes to visit his friend thirty miles away. He doesn't mind speeding, so he travels at 60 miles per hour and arrives in half an hour. On the way back, however, he has a little trouble with his car, and it takes him an hour to reach home. What was his average speed for the round trip? | Answer 19 |
| 92. Player A and Player B both played poker in Las Vegas on the same two day weekend. Although they didn't play against each other, they did play the same number of hands. On the first day, Player A won a higher percentage of his hands than Player B did. On the second day, Player A also won a higher percentage of his hands than B did. Paradoxically, over the two day weekend, Player B won a higher percentage of his hands than Player A did. How can that be? | Answer 19 |
| 93. Sarah
and Catherine, with money in their pockets, ran down to the corner shop to buy some
chocolate bars. Sarah, however, discovered that she was 24 pence short of the price of a
bar, while Catherine was two pence short. In a flash of inspiration, they decided to pool
their money and make do with a single bar between them, but they were still short of the
required price. How much, then, was a bar of chocolate?
|
Answer 19 |
| 94. Sarah
and Catherine made another trip to the same shop the next day in a further attempt to buy
some of the same chocolate bars at 25 pence each. Upon arrival, Sarah said, "If I add
half my money to yours, it will be just enough to buy four chocolate bars." Obviously
doubtful, Catherine responded, "If I add half my money to yours, how many can we
buy?" "We'll have just enough for a bar each," replied Sarah. How much money did Sarah have today?
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Answer 19 |
| 95. Dealing
52 cards for a game of bridge, player A deals the cards one by one, in a simple and
mechanical sequence, to 5 packets, in a regular way. After the deal, each packet goes
entirely to one of the players, and everybody gets 13 cards. How?
|
Answer 19 |
| 96. If I have twice as many brothers as sisters, and one of those has the same number of brothers as sisters, what gender am I? | Answer 19 |
| 97. Thom
and Mike were brothers. Thom married Katie. Mike married Christina. Thom and Christina
shared the same wedding anniversary but Mike's anniversary was six months before this date
and Katie's was three months after it. None of them got divorced or remarried, so how is
this possible?
|
Answer 19 |
| 98. Of
these ten statements, only one is true. Which one? 1. Only one sentence is false. 2. Only two sentences are false. 3. Only three sentences are false. 4. Only four sentences are false. 5. Only five sentences are false. 6. Only six sentences are false. 7. Only seven sentences are false. 8. Only eight sentences are false. 9. Only nine sentences are false. 10. Ten sentences are false.
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Answer 19 |
| 99. First
person 1 says: Bob must have more than a million dollars. Then person 2 says : No, Bob has less than that. Then person 3 says : Well, surely Bob has at least a dollar! If only one person is telling the truth, how much does Bob have?
|
Answer 19 |
| 100. Tom
was sharing out a bag of sweets between himself and his three mates. 'Look - if I keep one
for myself,' he said, slipping a sweet into his pocket, 'I can split the rest between us
equally.' But at that moment Harry arrived, demanding his share. So Tom slipped another sweet into his pocket, saying, 'Now we can share equally between the five of us'. But even as he spoke, Dick and Les appeared, so Tom took one of the sweets out of his pocket again saying, 'We can share equally now'. Suddenly the rest of the gang, suspecting something was up, all appeared demanding their share of the loot. 'Ah well,' said Tom sorrowfully, 'I suppose I'll have to put back the other one too.' So he did, and they all had three sweets each. How many boys were in the gang?
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Answer 19 |
| 101. Sarah
and Catherine, in their never-ending quest to get enough cash to buy these bars of
chocolate, have set up a shoe-shine stand outside the local bus station, and are doing
quite well too. They can now apply the polish to a pair of shoes in one minute, and give
them a splendid shine in another three minutes. They have strict orders to catch their bus
home which leaves at 6 o'clock prompt, so they were dismayed when three customers
approached them at seven minutes to six. Did they have to disappoint the customers, or is
there a way they could finish the job in the time to the total satisfaction of the trio of
customers?
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Answer 19 |
| 102. A
flower whose 1st (letter) is in PAY, but not in CLAY, 2nd is in PEOPLE, but not in PRAY, 3rd is in ORANGE, but not in GRAIN, 4th is in CANVAS, but not in SAME, 5th is in YELLOW, but not in GREEN. So the flower is?
|
Answer 19 |
| 103. Today
it is zero degrees, tomorrow it will be twice as cold. How cold will it be?
|
Answer 19 |
| 104.
Suppose two people decide to have a somewhat unorthodox duel. They start 20 yards apart,
each with a gun containing one bullet. They slowly walk towards each other, each at the
same speed. A person can shoot at any time while walking. If one hits the other person, he
wins. If he misses, he MUST keep walking. In essence, if he misses, he and the other
person will keep walking closer and closer towards each other, until the other person is
able to kill him with no chance of missing. Assuming that the two are equally skilled in
using a gun, is there a point along the 20 yards where it is optimal to shoot?
|
Answer 19 |
| 105. At my
local DIY centre, I was quoted R12 for one, R24 for 50 & R36 for 144. I wanted six.
What was I buying & how much did it cost me?
|
Answer 19 |
| 106. A
farmer sells 100 animals for $100.00. The cows for $5.00 each, sheep for $1.00 each and
pigs for $0.05 each. How many of each animal were sold?
|
Answer 19 |
| 107. A man has three sons. He looked at his watch and then he gave one son 10 cents, and the other two sons 5 cents each. What time was it when he gave it to them? | Answer 19 |
| 108. Lazy Larry agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour, on the condition that he would forfeit ten dollars per hour for every hour that he idled. At the end of the thirty hours Larry wasn't owed any money and didn't owe his brother-in-law any money either. How many hours did Larry work and how many hours did he idle? | Answer 19 |
| 109. A man
without eyes Sees pears on a tree He neither takes the pears Nor leaves the pears How could this be?
|
Answer 19 |
| 110. John
likes orange, but not purple. He likes torches, but not chandeliers. He likes berries, but
not fruits. Does he like Keats or Byron?
|
Answer 19 |
| 111. What
is something that we see every day, kings and queens rarely see, and God never sees?
|
Answer 19 |
| 112. a) It
is not the case that 2 consecutive sentences are both false. b) There are fewer false than true sentences. c) It is not the case that 3 consecutive sentences are all false. d) It is not the case that 2 consecutive sentences are both true. e) There are exactly 3 false sentences.
|
Answer 19 |
| 113. Of six
barrels of capacity 15,16,18,19,20 and 31 litres, respectively, five are filled with wine
and only one with beer. A customer bought two barrels of wine, and then a second customer
also bought wine, but of a quantity twice as much as the first. Which is the beer barrel?
|
Answer 19 |
| 114.
Suppose there is an electric train travelling at 100km/h. a) Which parts of the train are stationary to an observer? b) Which parts are moving backwards? c) Which parts are moving twice as fast as the train?
|
Answer 19 |
| 115. Sarah
and Catherine, still in search of the wherewithal to buy a 25-pence chocolate bar, have
been joined by Sarah's sister Emily, only 8, but possibly the sharpest of the three. As
they walked along, they came upon a purse containing some money lying on the ground. Emily
said, 'If I can have that purse, I will be twice as rich as you two put together.' Sarah
said, 'If I have it, I shall become three times as rich.' Catherine topped this by saying,
'If I have it, I shall be five times as rich!' But, disconsolately, they all agreed that
in any case none of them would be able to purchase a bar of chocolate. How much did each girl have to start, and how much was in the purse?
|
Answer 19 |
| 116. If it
were two hours later, it would be half as long until midnight as it would be if it were an
hour later. What time is it now?
|
Answer 19 |
| 117. A
puzzle store has 3000 puzzles in stock. The store is moving to the other side of the
country, 1000 miles away. The store owner asks a puzzle collector to transport unsolved
puzzles to the new store. The puzzle collector may keep every puzzle he didn't solve at
the end of the trip. But he has to solve one puzzle for every mile he travels, and he can
only carry 1000 puzzles at a time. The honest puzzle collector, being very smart, wants to
get as many unsolved puzzles as he can.
|
Answer 19 |
| 118. You
have a box, a lock, a key, and a diamond. A friend of yours has a box, a lock, and a key.
Your key will open your lock, his key will open his lock, but yours won't open his and his
won't open yours. The locks are standard key-operated padlocks, and the boxes have big
loops in the lid and the base through which locks may be threaded. Your only means of
communication is through a dishonest courier who will steal anything that's not a box or
inside a locked box. How can you get the diamond to your friend? No
"destructive" solutions are allowed... that is, "lock the diamond in the
box, send it to my friend, and have him smash the box" doesn't work.
|
Answer 19 |
| 119. It is
said that King Harold's army at the Battle of Hastings could be formed into 13 equal solid
squares of men, and by adding Harold himself to the mix, a single massive square could be
formed. How many men were there in Harold's army?
|
Answer 19 |
| 120. There
was a baseball game, between the Seattle Mariners and the Boston Red Sox. At the end of
the game--nine complete innings--the total score was Red Sox - 6, Mariners - 7. BUT... not
a single player touched the home plate. How could this be?
|
Answer 19 |

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