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CGP EDU Academic Team
Published on: August 14, 2026
In a group of 1000 people, there are 750 people, who can speak Hindi and 400 people, who can speak Bengali.
(i) Number of people who can speak Hindi only is
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(i)d (ii)b (iii)c

n(H ∪ B) = n(H) + n(b) – n(H ∩ B)
1000 = 750 + 400 – n(H ∩ B ) = 150
Now n(only hindi) = n(H) – n(H ∩ B) = 750 – 150 = 600
n(only bengali) = n(b) – n(H ∩ B)
400 – 150 = 250
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