631. Can you change the word FAIL into SOUR by changing one letter at a time (each
time making a new word) in 4 steps?

FAIL

____

____

____

SOUR

FAIL SAIL SOIL SOUL SOUR. There are other solutions too.

632. The four words below can be rearranged into four new words. In some
cases, there are multiple answers.

SHOP
BELIED
STARCH SPACE

SHOP ( hops, posh) BELIED (edible) STARCH (charts) SPACE (capes, paces).

633. A farmer bought twenty-pigs in six days. He bought on every one of the six days and an odd number of pigs each time.
How many were purchased on each day?

He bought three pigs on Monday morning and three in the afternoon. The rest of the week he bought three a day. There was an odd number each time.

634. One school found that all 32 of its students were successful in at least one
of the three exams that each of them had taken. Of the students who did not pass Exam One, the number who passed Exam Two was exactly half of the number
who passed Exam Three. The number who passed only Exam One was the same as the number who passed only one of the other two exams, and three more than the
number who passed Exam One and at least one of the other two exams. How many students passed more than one exam?

Eleven students passed Exam One only, three passed Exam Two only, and eight passed Exam Three only. Thus ten students passed more than one exam.

635. The ages of Old and Young total 48. Old is twice as old as Young was
when Old was half as old as Young will be when Young is three times as old as Old was when Old was three times as old as Young.
How old is Old?

Old is 30 and Young is 18.

636. What are the missing numbers?

31 62 __ 25 56
__ 19

93 and 87. When the digits in each number of the sequence is reversed, the numbers are the multiples 13 starting with 1. That is, 13, 26, 39, 52, 65, 78 and 91.

637. While Thomas is shopping at Tom Mart, he picks out five items that he
wishes to purchase. He has a magazine, an orange, a hose, a television, and an apple. Which item out of the six
listed below does he need to purchase to complete his order?

Belt

Table

Torch

Sandwich

Magazine

Bananas

The sandwich. The first letter of this word, along with the first letters of the other products picked out by Thomas, spell out his name.

638. A company gets 16 cans of paint each month. The problem is
that one of the 16 cans is always contaminated with lead. Fortunately, the company has the capacity to test for lead
by opening and testing the paint. However, due to time and money constraints, the results of the tests cannot be made known until after all
of the tests have been performed. What is the fewest number of tests that must be made in order to know for
certain which of the 16 cans is contaminated.

It can be done in a minimum of 4 tests by mixing samples from half of the cans (8) and then testing that mixture. If positive, the other half of the cans are dismissed and if negative that set of cans is dismissed. Repeat testing in halves three more times to find the contaminated can.

639. What two words, formed from different arrangements of the following ten
letters, will complete the sentence below.

C E F G I I N R T Y

The accountant, anxious to be accurate in ___________ his client's accounts, found himself ___________ errors made by an amateur bookkeeper.

640. A businessman and his 4 sons originally took out a lease on their building
for 99 years. When I asked them how much time was left on the lease, the father said, "two-thirds of the time past is equal to four-fifths of the
time to come. How much time is left on the lease?

641. The names of four people are hidden in the sentence below. Can you find
them? (The letters are in consecutive order.)

Don't be so critical, ice skating is fun!

642. An electrician agrees to work on the condition that he is paid 2 monetary
units for everyday that he works on wiring a house, but he must forfeit 3 units on the days that he fails to work on the house. After 30 days, he finds
that he has paid out exactly as much as he has received. How many days did he work on the house?

He worked on wiring the house 18 days, but failed to work on wiring the house on 12 days.

643. Ryan has three times as many sisters as he has brothers, but each of his
sisters has just as many brothers as she has sisters. How many boys and girls are in the immediate family if there are not more than ten siblings?

2 boys and 3 girls. Ryan has 3 sisters and 1 brother. Each sister has 2 brothers and 2 sisters.

644. Reduce the high-flown language below to a common saying.

It is impossible to compare the lack of sapience of a youthful injudicious person with the lack of sapience of a person of more advanced years.

There's no fool like an old fool.

645. Midge lives on the twelfth floor of a modern elevator apartment building.
Whenever she gets into the automatic elevator on the ground floor, and no one else is in the elevator, she pushes the button for floor 6, gets off on the
sixth floor, and walks up the stairway to the twelfth floor. She would much prefer to ride the elevator all the way up to her floor. Why does she do this?

Midge is a small child and can reach up only as high as the sixth-floor button.