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Standard XII

Mathematics

Difference of Two Sets

In a group of...

Question

In a group of $50$ people, $35$ speak Hindi and $25$ speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

16

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15

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10

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25

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Solution

The correct option is B $15$
$n (H) = 35 =$ People who speaks Hindi
$n (E) =$ People who speaks English
$n (H \cup E) = 50$ , $n (H \cap E) = 25$
$n (E - H) = n (H \cup E) - n (H) = 15$

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Difference of Two Sets

Standard XII Mathematics

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In a group of 50 people, 35 speak Hindi and 25 speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

The correct option is B 15n(H)=35= People who speaks Hindi n(E)= People who speaks English n(H∪E)=50 , n(H∩E)=25 n(E−H)=n(H∪E)−n(H)=15

In a group of $50$ people, $35$ speak Hindi and $25$ speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

The correct option is B $15$
$n (H) = 35 =$ People who speaks Hindi
$n (E) =$ People who speaks English
$n (H \cup E) = 50$ , $n (H \cap E) = 25$
$n (E - H) = n (H \cup E) - n (H) = 15$