Amusing Math Puzzles – Get 430 Brain Teasers to Exercise Your Brain

Your Question
Logic Puzzles. Please help.?
There is only 4:

1) Man Wrinkle spent one-fourth of his life a boy, one-eighth as as youth, and one-half as an active man. If Man Wrinkle spent 8 years as am old man, then how many years did he spend as an active man?

2) Last weekend, I went to play in the nearby park. It was real fun! I rode my new bicycle that Mon had gifted me on my birthday. On reaching the park, I saw that there were a total of 16 bicycles and tricycles.If the total number of wheels was 42, how many tricycles were there?

3. Suppose 7 monkeys take 7 minutes to eat 7 bananas.
a. How many minutes would it take 3 monkeys to eat 3 bananas.
b. How many monkeys would it take to eat 63 bananas in 68 mins.

4. Your teacher has a total of 16 chalks. When a chalk reduces to 1'4 of it's original size, it gets too small for her to hold for writing and hence she keeps it aside. But your teacher hates wasting things and so, when she realizes that she has enough of these small pieces to join and make another chalk of the same size, she joins them and uses the new chalkstick. If she uses one chalk a day, how many days would the 16 chalks last?

q1
answer
= 8 * (1/2) / [1 - 1/4 - 1/8 - 1/2]
= 4 / [1/8]
= 32 years

q2
16 = b + t
42 = 2b + 3t

(2b + 3t) – 2(b + t) = 42 – 2*16
t = 10
answer = 10 tricycles

q3a
7 monkeys eat 7 bananas in 7 minutes.
1 monkey eats 1 banana in 7 minutes.
answer = 3 monkeys eat 3 bananas in 7 minutes.

q3b
7 / 7 * 7 = 63 / 68x
x = 63 * 7 / 68 = 6.4853(?) = 7 monkeys

q4
is it 1/4? if yes, then answer
= 16 + 16*(1/4) + 16*(1/4)^2
= 16 + 4 + 1
= 21 days

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