The local library decided to hand out some of its old books to its 1400 borrowers.
To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books.
If only half of the females in town and three quarters of the males in town accepted the books, how many books were given away?
[Ref: ZNXG] © Kevin Stone
Direct Link: www.brainbashers.com?ZNXG
Hint: It didn't matter how many male or female borrowers there were.
Answer: 4200 books.
It doesn't matter how many female borrowers there were as 1/2 of the females accepted the books, and those that did accepted 6 books, which is 3 books per female on average.
Similarly it doesn't matter how many male borrowers there were as 3/4 of the males accepted 4 books each, which is again 3 books each.
So both the males and females accepted, on average, 3 books each. And 1400 * 3 = 4200.
At dawn on Monday a snail fell into a bucket that was 12 inches deep.
During the day it climbed up 3 inches, however, during the night it fell back 2 inches.
On what day did the snail finally manage to climb out of the bucket?
Direct Link: www.brainbashers.com?ZQGM
Hint: The answer isn't 12 days.
The following Wednesday, nine days later.
At dawn on Monday the snail was at the bottom. Each day it climbed 3 inches, and dropped 2 inches over night, so at the start of the next day it was 1 inch higher, so:
Monday morning - 0 inches.
Tuesday morning - 1 inch.
Wednesday morning - 2 inches.
Thursday morning - 3 inches.
Friday morning - 4 inches.
Saturday morning - 5 inches.
Sunday morning - 6 inches.
Monday morning - 7 inches.
Tuesday morning - 8 inches.
Wednesday morning - 9 inches.
The snail then climbed the remaining 3 inches during Wednesday, and escaped.
Four friends were discussing their prize winning carp. There were four different colours: red, green, blue and yellow.
No lady has had the same colour fish twice.
The lady who currently has the green carp used to have a yellow one.
Betty, who is not Mrs Longheart currently has the blue fish.
Mrs Kipper who now has a yellow one, used to have a blue one.
Neither Mrs Ada Fishtail nor Mrs Jester, have ever owned a yellow fish.
Cybil is not Mrs Kipper.
Diane and Ada have never shared the same colour fish.
Can you determine their full names and colours of the fish the ladies have previously had and currently have?
[Ref: ZEGX] © Kevin Stone
Direct Link: www.brainbashers.com?ZEGX
Hint: Ada now has a red carp.
Ada Fishtail Red Green
Betty Jester Blue Red
Cybil Longheart Green Yellow
Diane Kipper Yellow Blue
A farmer was asked how many chickens he had sold at market that day.
His reply was:
"I've had four customers today, and each bought half of my remaining chickens, plus a half chicken."
The farmer sold all of his chickens at market that day. How many chickens did the farmer sell?
[Ref: ZVAK] © Kevin Stone
Direct Link: www.brainbashers.com?ZVAK
Hint: How many chickens did the last customer buy?
The first customer bought 15 ÷ 2 + ½ = 8 (leaving 7)
The second customer bought 7 ÷ 2 + ½ = 4 (leaving 3)
The first customer bought 3 ÷ 2 + ½ = 2 (leaving 1)
The first customer bought 1 ÷ 2 + ½ = 1
The answer can be worked out in the following way:
The fourth customer can only have bought one chicken, otherwise there would be some chickens left. The third customer bought all but 1, so total - (total ÷ 2 + ½) = 1. This can be solved algebraically or it's easy to see that the total must have been 3. This method keeps working until we reach the first customer.