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PRA TO SA MGA MATHINIKZ AT MAY LOGIC

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paynosaj
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PostSubject: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 1:07 am

A group of 100 soldiers suffered the following injuries in a battle: 70 soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an arm.
What is the minimum number of soldiers who must have lost all 4?



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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 8:44 pm

wala tama b?
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 9:44 pm

10


dude, pigeonhole..
Smile
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 10:09 pm

ang gagaling nyu nman sumagot. . . lol . . .

@batz

i love answers but i need explanations. . .

prove mo answer mo. . .

hahah
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 10:22 pm

Add up all the injuries, and you find that 100 soldiers suffered a total of 310 injuries. That total means that, at a minimum, 100 soldiers (it is, of course, not 100 soldiers, but 100 as calculation from 310 person-injuries out of 400 possible) lost 3 body parts, and 10 (the remainder when dividing 310 by 100) must have lost all 4 body parts. (In reality, as many as 70 may have lost all 4 body parts.)


another way to solve it is to draw a line of 100 parts and compare injuries from opposite ends of the line, finding the intersection part of all 4 injuries. If left side of line (LS), right side (RS) and intersection (I), then:
70 (LS) and 75 (RS), then 45 (I)
45 (LS) and 85 (RS), then 30 (I)
30 (LS) and 80 (RS), then 10 (I) soldiers must have lost all 4 parts


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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Sep 24, 2008 11:42 pm

you got it ryt buddy. . .


hahaha. . . .

very tricky huh. . .
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Thu Sep 25, 2008 12:18 am

ang galing naman ni batz Bravo!
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Thu Sep 25, 2008 2:42 am

ANG GALING NGA NYA EH. . .

PERO MAS MAGALING C technicaldifficulties. . .


hahah lol!
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Sat Sep 27, 2008 12:17 am

Probability #1:


70 soldiers lost an eye, 75 soldiers lost an ear
therfore a minimum of 1 soldier must have lost an eye and an ear.
why?
kasi, at least one soldier ang pwedeng mag intersect sa 75 at 70.
at least 1 din ang soldier pwedeng naalisan ng mata at tenga.


therfore a maximum of 70 soldiers lost an eye and an ear.

why?
may probability kasi na lahat ung 70 na un nwalan din ng tenga


85 lost a leg
therfore intersection ng 1 sa 85
1 db?

ang maximum parin ng soldiers na nawalan ng mata tenga at leg ay 70.
dahil sa intersection ng 85 sa 70.

80 lost an arm
intersection parin ng 1 sa 80.
therfore 1.

max paden ay 70.

unang answer: 1

Probability #2:


hindi natin alam kung may soldier na hindi nakipagbakbakan at nainjure sa 100 na soldiers
so malamang minimum ung 0
kasi nga walang nawala sa katawan nya.
tama ba?
logical db?
gets b? ask ka lng kung di mo gets.

pangalawang answer: 0

Probability #3:



Una, 70 soldiers lost an eye, minus natin sa 100 kaya 30 ung healthy na mata.

pangalawa, 75 soldiers lost an ear. so ung assume natin na ung mga may mata, nawalan ng tenga. 75-30=45 na tao ung nawalang ng tenga at mata, so 55 na tao ung either nawalan ng tenga lng, mata lng, o walang nawala.

pangatlo, 85 soldiers lost a leg. so ung 55 na tao either nawalan ng tenga lng, mata lng, o walang nawala. 85-55=30. 30 ung nawalan ng tenga, mata at leg. 70 ung either nawalan ng tenga lng, mata lng, o walang nawala.

last, 80 soldiers lost an arm. so ganun uli. 70 ung safe db, so 80-70=10. bale sampung tao ung nawalan ng apat.

pangatlong answer: 10


sa second ako.
0 ung minimum number ng soldiers who must have lost all 4.
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Sun Sep 28, 2008 11:00 am

wOuouow..

prObabiLity..
i thnk it is mur on logic.
but wid a simple arithmetic..
btw, an ggalen nAman ng mga nakasagut..!!
cheer up..!!

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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Sun Sep 28, 2008 11:13 am

paynosaj wrote:
A group of 100 soldiers suffered the following injuries in a battle:


tingin ko sa sinabi niya na statement, it is right for us to assume na lahat un ay kasama sa BATTLE
and lahat ng 100 soldiers na un ay nag suffer ng particular injuries sa mga iun..

Smile
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Sun Sep 28, 2008 11:30 am

kaia nga nu..??

gLen tLga ni bAtz..!!

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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Sun Sep 28, 2008 11:31 am

ok fine fine. tao lng po.. Smile
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Oct 01, 2008 9:11 pm

Nice one!..haha
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PostSubject: Re: PRA TO SA MGA MATHINIKZ AT MAY LOGIC   Wed Oct 01, 2008 9:13 pm

uu nga tao lang, simpleng
rakista lang kami, whew
party hard


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