571. Tom is older than Sue, and Sue is younger than Mary, who is older than Tom. Who is the oldest of the three?

572. How many minutes would it be before six o'clock if fifty minutes earlier it had been four times as many minutes after three o'clock?

It would be 5:46, or 14 minutes before 6.

573. What word, expression, or name is depicted below?

79 S 34 A 92

F 185 E 376

7 T 27 Y 12

574. My first is a number, my second another,

And each, I assure you, will rhyme with the other.

My first you will find is one-fifth of my second,

And truly my whole a long period reckoned.

Yet my first and my second (nay, think not I cozen),

When added together will make but two dozen.

How many am I?

575. There are 10 baskets. Each of
the 9 baskets have 10 balls weighing 10 kg each, except for one basket which has 10 balls weighing only 9 kg each. All the balls and baskets are identical in
appearance. You are asked to determine which basket contains the 9 kg balls. You can only take a single measurement using a weighing machine (the balls can be
taken out from the baskets but still you can only take one measurement). How would you do it?

Line up the baskets. Take 1 ball from the 1st basket, 2 balls from the 2nd, 3 balls from the 3rd and so on. Put them all on the weighing machine. If all the balls weigh 10 kg, their mass should add up to 550 kg. Thus, by subtracting the mass you get from 550 kg, you will know which basket they are in. For example, if the 9 kg balls are in basket 6, the scale will read 544 kg.

576. What should be in place of the question marks?

XXOXXXXOOOXXXXXXXXOOOOOOOO

XXXXXXXXXXXXXXXXOOOOOOOOOOOOOOOOOOOO

XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOO ? ? ? ? ? ? ? ? ? ?

OOXXXXXXXX. The number of X's doubles each time they appear and the number of O's are equal to half of the X's immediately before it, plus the total number of O's that have appeared before it in all previous sequences of O's.

577. By changing the second letter of each word below, you can make another
valid word. Can you change each word such that the second letters will reveal an eleven letter word when read downwards. Therefore,
what now reads AWPYRNUCEPA will be a real word.

BAKE

SWAP

OPAL

DYED

ARKS

SNOW

LUMP

ACES

MELT

SPUN

RANT

Investigate. bike, snap, oval, deed, asks, stow, limp, ages, malt, stun, rent.

578. There are three errers in the statement of this problem.

You must detect all of them to recieve full credit.

Errors is spelled incorrectly (spelled "errers" in the problem). Receive is spelled incorrectly (spelled "recieve" in the problem). The third error is that there are only two errors, not three.

579. When a suitor asked a father for his daughter's hand, the father answered,
"It behooves all progenitors to so circumscribe the alliances of their progeny as to preclude all potential spouses inimical to conjugal euphoria. Perambulate to where your propinquity engenders no wishes for juxtaposition to you in my scion's sibling." What did the father say, yes or no?

580. Ann is now exactly two-fifths of her older
sister's age, and two years from now she will be one-half of her older sister's age. Conversely, two years ago, Ann was only one-fourth the age of her older
sister's age at that time. How old is Ann now? (She's a fairly young child, by the way.)

Ann is four years old now.

581. It will probably do you no good to spin the globe in the hope of finding the
answer to this one. A knowledge of the Western Hemisphere is much more useful. At what point is the Pacific side of the Americas east of the Atlantic side?

582. Which of the following letters do not fit in the series?

A D G I J M P S

I. (A skip 2 letters, D skip 2 letters, etc).

583. If a five-hour candle and a six-hour candle were lit at the same time, how much time would elapse before one candle would be five times longer
than the other?

584. Answer this one quickly. After a gas tank of a car is filled, which happens first?

A. the tank is 3/4 empty

B. the tank is 2/3 full

585. You have a 12 liter jug, an 8 liter jug, and a 5 liter jug. None of the jugs
have any markings on them. The 12 liter jug is full, and the other two are empty. How can you divide the 12 liters of water equally (i.e., so two of the
jugs have exactly 6 liters of water in them, and the third is empty)?

Fill the 8 liter jug with the 12 liter jug, leaving 4 liters remaining. Fill the 5 liter jug with the 8 liter jug, leaving 3 liters remaining. Empty the 5 liter jug into the 12 liter jug. Now there are 9 liters in the 12 liter jug and 3 liters in the 8 liter jug. Pour the 3 liters from the 8 liter jug into the 5 liter jug. Now fill the 8 liter jug with water from the 12 liter jug, leaving 1 liter in the 12 liter jug. Fill the 5 liter jug (which already has 3 liters in it) from the 8 liter jug, leaving 6 liters in the 8 liter jug. Empty the 5 liter jug into the 12 liter jug. Now there are 6 liters in the 12 liter jug, 6 liters in the 8 liter jug, and the 5 liter jug is empty.