616. Somehow or other I got talked into buying something on the installment plan.
I'm not sure I got a good deal. The payments to date, according to my checkbook, have reached $96. The second year cost $2.00 more than the first year; the third
year cost $3.00 more than the second; and the fourth year cost me $4.00 more than the third. What were my payments the first year?

617. If you had to swallow one pill every half hour, how much time would it take
for you to swallow three pills?

One hour--for instance, if you swallowed one at 7, one at 7:30, and one at 8.

618. Alice, Ben, Charlie, David and Ed entered a contest to guess how many jelly
beans are in a jar. Alice guessed 30, Ben guessed 28, Charlie guessed 29, David guessed 25 and Ed guessed 26. Two were off by 1, one was wrong by 4
and one by 3. One was correct. How many jelly beans are in the jar?

619. Find the word that fits the first definition, then add an "S" in
front of it to make a new word that matches the second definition.

Place an "S" in front of a black, road-filling substance, and make a heavenly body.

Place an "S" in front of an expressive musical sound, and make a rock.

tar---star; tone---stone.

620. What is the number which is 5 more than one-fifth of one-tenth of one-fourth
of 1000?

10. (1000 ÷ 4 = 250 ÷ 10 = 25 ÷ 5 = 5 + 5 = 10).

621. Mary, Jane, and Sue went bird watching. Each of them saw one bird that
none of the others did. Each pair saw one bird that the third did not. One bird was seen by all three. Of the birds Mary saw, two were yellow. Of the birds
Jane saw, three were yellow. Of the birds Sue saw, four were yellow. How many yellow birds were seen in all? How many non-yellow birds were seen in all?

Three birds were seen by one person each, three were seen by each unique pair (Mary-Jane, Mary-Sue, and Jane-Sue), and one was seen by all three. So seven birds were seen in all, and each person saw a total of four. Hence, all of the birds Sue saw were yellow. These four birds are: (1) the one Sue saw alone, (2) the one Sue saw with Mary, (3) the one Sue saw with Jane, and (4) the one all three saw together. This accounts for both of the yellow birds Mary saw, and two of the three yellow birds Jane saw. The third yellow bird Jane saw could not have been the one Mary and Jane saw together, because Mary only saw two yellow birds; so the third yellow bird Jane saw must have been the one she saw alone. So five yellow birds were seen (the one Jane saw, the one Sue saw, the one Mary and Sue saw, the one Jane and Sue saw, and the one all three saw), and two non-yellow birds were seen (the one Mary saw and the one Mary and Jane saw) by the group.

622. Make a dent in your mental energy and complete the word below by filling in
the missing letters.

P _ _ S _ _ R _ T _ _ N

623. What common opening line is represented by the arrangement below?

__ONCE__

6 PM

624. There are one thousand lockers and one thousand students in the school. The
principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to
every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After
the process is completed with the thousandth student, how many lockers are open?

The only lockers that remain open are perfect squares (1, 4, 9, 16, etc) because they are the only numbers divisible by an odd number of whole numbers; every factor other than the number's square root is paired up with another. Thus, these lockers will be
"changed" an odd number of times, which means they will be left open. All the other numbers are divisible by an even number of factors and will consequently end up closed. So the number of open lockers is the number of perfect squares less than or equal to one thousand. These numbers are one squared, two squared, three squared, four squared, and so on, up to thirty one squared. (Thirty two squared is greater than one thousand, and therefore out of range.) So the answer is thirty one.

625. A frog is at the bottom of a 30-foot well. Each day he climbs up 3
feet. Each night he slides down 2 feet. On what day will he reach the top of the well and escape?

He is at 27 feet after the 27th night. On the 28th day he climbs up 3 feet and reaches the top of the well.....he is out; so he does not slide back 2 feet.

626. A man bought a number of turkeys at a cost of $60.00, and after reserving
fifteen of the birds he sold the remainder for $54.00, thus gaining .10˘ a head by these. How many turkeys did he buy?

The man bought 75 turkeys at .80˘ each, making $60.00. After retaining 15 he sold the remaining 60 at .90˘ each, making $54.00, as stated. He thus made a profit of .10˘ each on the 60 birds he resold.

627. Jennifer didn't like to tell her age, so when she was asked, her mother
answered for her. Her mother said, "I'm just seven times as old as she is now. In twenty years, she'll be just half the age that I will be then."

How old is Jennifer?

Jennifer is four years old.

628. Nicole was sure she got the right answer when her botany teacher asked her to
pick out the plant that was not a tree from the list below. Which one would you choose?

Peach, Plum, Walnut, Linden, Banana

Banana---you can look it up yourself.

629. There are several chickens and rabbits in a cage (with no other types of
animals). There are 72 heads and 200 feet inside the cage. How many chickens are there, and how many rabbits?

Let r = the number of rabbits and c = the number of chickens. Then r + c = 72. 4r + 2c = 200. To solve, we multiply the first equation by 2, and then subtract it from the second equation. 4r + 2c = 200 (-) 2r + 2c = 144 thus 2r = 56 r = 28 c = 44. So, there are 28 rabbits and 44 chickens.

630. What's the missing letter in the sequence below?

B C E G K
M Q S ?

W. Starting with A = 1, B = 2, C = 3...etc. The letters represent the prime numbers between 1 and 26 of the alphabet.