Brain Teasers

careless25 · 2008-07-25 09:58:39

1)
There are 70 clerks working with Messrs STEVE STEEVE StEAVE & Co, Chartered accountants, of which 30 are females. Also-
a)30 clerks are married;
b)24 clerks are above 25 years of age;
c)19 married clerks are above 25 years, of whch 7 are males;
d) 12 males are above 25 years of age; and
e) 15 males are married
How many bachelor girls are there and how many of these are above 25?
2) Can you write:
a) 1 by using all ten digits (each digit used once only)?
b) 100 with five identical digits?
c) 1000 with eight-
(i)8's?
(ii)4's?
(iii)5's?
(iv)7's?
(v) of any digit other than zero?

Last edited by careless25 (2008-07-25 10:28:08)

careless25 · 2008-07-25 10:34:24

kylekatarn wrote:

2.a)
( (9 - 8) + (7 - 6) ) - ( ( 5 - 4 ) + ( 3 - 2 ) ) + 1 + 0 = 1
?

pls hide if u are postin answers.
Yes that is correct and for 2a there are 3 more possibilities!!

careless25 · 2008-07-25 10:48:02

3)This was carved on Diophantuss' tomb:
"God granted him to be a boy for the sixth part of his life, and adding a twelfth part to this, He clothed his cheeks with down; He lit him the light of wedlock after a seventh part, and five years after his marriage He granted him a son.Alas! late-born wretched child; after attaining the measure of half his father's full life, chill Fate took him. After consoling his grief by this science of numbers for four years he ended his life."
How old was Diophantus when he died?

mathsyperson · 2008-07-25 11:12:40

Also, there are millions (probably) of possibilities for 2a.

careless25 · 2008-07-25 11:18:48

Mathys you got number 1 right. Great Job!

careless25 · 2008-07-25 11:21:15

for 2 you can use tens unit and thousands units. Dont get stuck on the ones.

careless25 · 2008-07-25 11:52:52

4)
Late one night BOOKWORM was studying for his examinations when the lights went out. He lighted two candles of equal length, one thicker than the other. The thich candle is supposed to last six hours and the thin one two hours less. When BOOKWORM finally went to sleep the thick candle was twice as long as the thin one.
For how long did BOOKWORM study?

5)LAZY, SLOW and IDLE are working with Messrs Drousy Daughters at Dull-Louise. On every working day they lunch together at SLICK SLUMS where they also order beer based on the following premises:
a)Idle has beer only if either Lazy or Slow or both have it.
b) Unless neither Lazy nor Slow have beer, Idle must have it.
c) Slow and Idle never have been together
d) if lazy does not have beer, either Slow or Idle or both have it.
Who orders beer?

ZHero · 2008-07-25 20:03:15

JaneFairfax · 2008-07-25 21:46:09

Last edited by JaneFairfax (2008-07-25 22:10:57)

JaneFairfax · 2008-07-25 21:58:56

mathsyperson · 2008-07-26 01:52:02

John E. Franklin · 2008-07-26 02:06:27

What is "5c" trying to say? I thought all 3 go to the drinking place each day.

JaneFairfax · 2008-07-26 02:48:24

mathsyperson wrote:

Last edited by JaneFairfax (2008-07-26 03:13:41)

ZHero · 2008-07-26 02:51:43

mathsyperson wrote:

I hope you're joking!

careless25 · 2008-07-26 03:46:19

ZHero wrote:

yes u r right!!

careless25 · 2008-07-26 03:47:23

JaneFairfax wrote:

Number 5 is wrong but u have everything else right!

careless25 · 2008-07-26 03:48:49

mathsyperson wrote:

i dont agree with 4 but 5 is right!

careless25 · 2008-07-26 03:50:32

2a)

Last edited by careless25 (2008-07-26 03:52:53)

careless25 · 2008-07-26 04:48:06

any1 tryin number 3? or shouldi post answer n explanation?

6)On an island there live three tribes; the Truthers always answer truthfully, the Liars always answer falsely and the Alternators alternate true and false answers. On your first visit to the island, you come across a tribesman. How will you, in just one question, determine the tribe he belongs to?

7) On a certain pasture the grass grows at an even rate. it is known that 40 cows can graze on it for 40 days before thr grass is exhausted, but 30 cows can graze there as long as 60 days.
How many days would the pasture lastif 20 cows were to graze on it?

ZHero · 2008-07-26 06:06:02

mathsyperson · 2008-07-26 06:31:08

JaneFairfax wrote:

#4: ZHero is right.
...

Ah, true enough. I read "two hours less" in the question as just "two hours". The bracketed part of my answer is still right though.

Edit: Ah, Jane got there first. At least we agree this time.

Last edited by mathsyperson (2008-07-26 06:42:35)

JaneFairfax · 2008-07-26 06:35:07

ZHero · 2008-07-26 06:36:59

mathsyperson wrote:

The bracketed part of my answer is still right though.

:):D:D:):)

ZHero · 2008-07-26 06:50:12

Hey Jane! We ended up answering the question almost at the same instant!?
However,

was different!

Last edited by ZHero (2008-07-26 06:54:28)

JaneFairfax · 2008-07-26 07:08:15

Yes, that works too. Well done to both of us.

Math Is Fun Forum

#1 2008-07-25 09:58:39

Brain Teasers

#2 2008-07-25 10:34:24

Re: Brain Teasers

#3 2008-07-25 10:48:02

Re: Brain Teasers

#4 2008-07-25 11:12:40

Re: Brain Teasers

#5 2008-07-25 11:18:48

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#6 2008-07-25 11:21:15

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#7 2008-07-25 11:52:52

Re: Brain Teasers

#8 2008-07-25 20:03:15

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#9 2008-07-25 21:46:09

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#10 2008-07-25 21:58:56

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#11 2008-07-26 01:52:02

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#12 2008-07-26 02:06:27

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#13 2008-07-26 02:48:24

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#14 2008-07-26 02:51:43

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#15 2008-07-26 03:46:19

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#16 2008-07-26 03:47:23

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