PUZZLING PRODUCTS

 

Mindbending Puzzles
91–100

 

 

 

91.  SUPERBOWL

Nine members of the American football team were lined up waiting to take their place on the playing field. If two players in the top row changed places with two players on the second row, then the number reading across the jerseys of the players on the bottom row would be exactly a fifth of the number across the five players on the top row. Can you work out which two players on the top row, and which two players on the second row, need to change places for this to occur?

 SOLUTION 

 

 

 

92. SHOPPING SPREE

Out of 100 ladies surveyed leaving Macy’s department store, 95 had bought an item of clothing, 75 had had coffee in the café, 80 had bought jewelry and 70 had bought cosmetics. How many, at least, must have purchased all four items?

SOLUTION

93. NEWT’S LAW

Every newt in the lagoon is a hermaphrodite, and will produce two offspring exactly one year after it is itself born, and a newt will not move away from a pond after having offspring. Six years ago a newt moved to a new pond within a few hours of being born, where it was the only inhabitant. There are now a total of 98 newts in this new pond. If all newts survived, and none had moved away during the last year, how many had moved away over the six years?

SOLUTION

94. IN THE PARK

A square park is denoted by its North, East, South and West sides. It has two seats on each side. The seats north and south sit a maximum of four people each and the seats east and west sit a maximum of three people each. Two seats are full. One seat has no one sitting on it. No seats next to or opposite each other have the same number of people sitting on them. The total of people in the SE corner equals the total of people in the NW corner, but none of the seats has the same number of people on them. The total of people in the NE corner is double that in the SW corner. How many people are sitting on the seats in the park?

SOLUTION

95. EASY RIDER

A motorbike travels 100 miles
at a speed of 40mph. Its fuel consumption is 80 miles per gallon, and its tank has a capacity of
3 gallons. At the start of the journey, the tank is full but has a leak. When the destination is reached, the tank is empty. How much fuel is leaking per hour?

SOLUTION

96. PLACE YOUR BETS

Tom, Dick and Harry each won on the horses for three days running. The bookkeeper paid out sums of $130, $104, $94, $78, $52, $46, $42, $30 and $24. Tom won twice as much as Dick. What was the total winning amount for each man over the three days?

SOLUTION

97. TWICE THE FUN

Mr Smith has four children, two of whom are twins. The age of the oldest child is three times the age of the youngest, and two of the ages are just one year apart. If the total of the ages of all four children is five times greater than the middle age, what is the age of the twins?

SOLUTION

98. 100m DASH

Frank, Greg, Harry, Irving and Joseph were the competitors in a
100-meter race. Frank beat Greg
by as many places as Irving beat Joseph. Neither Harry nor Joseph was third or fifth. In what order
did they finish?

SOLUTION

99. TUNNEL TEASER

A train traveling at a speed
 of 55mph enters a tunnel that is
2.5 miles long. The length of the train is 0.25 miles. How long does
 it take for all of the train to pass through the tunnel, from the moment the front enters, to the moment the rear emerges?

SOLUTION

100. WEIGHTS AND MEASURES

Mr. Sweet, the candy shop owner, has bought a set of weights that are in different whole units of grams, none greater than 10. He discovers that the number of grams is not printed on the weights – instead they are painted different colors according to
their weights. Can you help him
to calculate the value of the
blue weight?

SOLUTION