Question

# In a battle, $70%$ of the combatants lost one eye, $80%$ an ear, $75%$ an arm, $85%$ a leg, $x%$ lost all the four limbs. The minimum value of $x$ is

A

$10$

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B

$12$

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C

$15$

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D

None of these

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Solution

## The correct option is A $10$Explanation for the correct option.Find the percentage of combatants who lost all four limbs.It is given that $70%$ of the combatants lost one eye, $80%$ an ear, $75%$ an arm, $85%$ a leg.Now the percentage of combatants who lost one eye and one ear is: $\left(70+80-100\right)%=50%$.The percentage of combatants who lost one eye, one ear and one arm is: $\left(50+75-100\right)%=25%$.The percentage of combatants who lost one eye, one ear, one arm, and one leg is: $\left(25+85-100\right)%=10%$.So $10%$ combatants lost all four limbs in the battle.Hence, the correct option is A.

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