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A group of 50 soldiers



Questions

Questions

Habitual User
Oct 18, 2006
24,896
Worthing
when did this happen then ?
 
Last edited:




alfredmizen

alfredmizen

Banned
Mar 11, 2015
6,342
Moshe Gariani said:
... suffered the following injuries in battle: 36 soldiers lost an eye, 35 lost an ear, 40 lost a leg and 42 lost an arm.

What is the minimum number of soldiers who must have lost all four?
Click to expand...
Are they regular or TA ?
 


vegster

vegster

Sanity Clause
May 5, 2008
27,894
Were they Army Ants ?
 


dazzer6666

dazzer6666

Well-known member
NSC Patron
Mar 27, 2013
52,482
Burgess Hill
Simster said:
Definitely 3:

50 soldiers: 36 soldiers lost an eye, 35 lost an ear, 40 lost a leg and 42 lost an arm.

36 lost an eye
15 didn't lose an ear, leaves minimum of 21 who lost an eye and ear
10 didn't lose a leg, leaves minimum of 11 who lost an eye, ear and leg
8 didn't lose an arm, , leaves minimum of 3 who lost an eye, ear, leg and arm
Click to expand...

Or 36+35+40+42 = 153 injuries divided by 50 soldiers leaves 3 each with a remainder of 3, so has to be minimum 3.
 






skipper734

skipper734

Registered ruffian
Aug 9, 2008
9,189
Curdridge
Simster said:
Definitely 3:

50 soldiers: 36 soldiers lost an eye, 35 lost an ear, 40 lost a leg and 42 lost an arm.

36 lost an eye
15 didn't lose an ear, leaves minimum of 21 who lost an eye and ear
10 didn't lose a leg, leaves minimum of 11 who lost an eye, ear and leg
8 didn't lose an arm, , leaves minimum of 3 who lost an eye, ear, leg and arm
Click to expand...

Interesting.
I added all the remainders from the categories which adds to 47, which leaves a remainder of three. That's how I arrived at my answer.
 




















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