Question

I have a strange question here.It came in a quiz as i heard .the final answer is 10 but i cant figure out how it is .The question says:In a battle 70% lost an ear ,75% lost an eye ,85% lost an arm ,80% lost a leg,x% lost all 4 limbs.Find minimum value of x .PLs help :)

Answer 1

@JamesJ , @amistre64 , @apoorvk , @ash2326 , @dumbcow , @experimentX , @TuringTest can u try?

Answer 2

let there be 100 combatants, of which
1) 30 did not lost an eye; therefore, 70 did lost one, of which
2) 20 did not lost an ear; therefore, 50 did lost one, of which
3) 25 did not lost an arm; therefore, 25 did lost one, of which
4) 15 did not lost a leg; therefore, 10 did lost one

Answer 3

http://gmatclub.com/forum/in-a-battle-70-of-the-combatants-lost-an-eye-80-an-7652.html

Answer 4

any other idea?

Answer 5

i have more faith in my friends here :P

Answer 6

Did u visit that website!!

Answer 7

wait i am reading t... :)

Answer 8

the link that u gave doesnt have a satisfactory answer :O

Answer 9

http://gmatclub.com/forum/in-a-battle-70-of-the-combatants-lost-an-eye-80-an-ear-61531.html

Answer 10

go down the page

Answer 11

I like the second explanation on that page better
"a% of combatants lost something A, and b% of combatants lost something (et's call it B), then AT LEAST (a + b - 100)% of combatants lost both A and B.

Thus, we get that at least 50% = 70 + 80 - 100 lost both an eye and an ear, at least 25% = 50% + 75% - 100% lost an eye, an ear, and an arm, and at least 10% = 25% + 85% - 100% lost an eye, an ear, an arm, and a leg..!

10 is the answer... "

Answer 12

quote^

Answer 13

how can we get to the answer using sets?