If M and B are two sets, such that M ∩ B has 15%, M has 35% and B has 25%, how many percentage does M U B have ?

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Airforce Group X 13 Jul 2021 Shift 1 Memory Based Paper
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  1. 30%
  2. 50%
  3. 45%
  4. 40%

Answer (Detailed Solution Below)

Option 3 : 45%
Free
Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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Concept:

n(A ⋃ B) = n(A) + n(B) – n(A ⋂ B)

Calculation:

Here, n(M ∪ B) = 15% , n(M) = 35%, n(B) = 25%

n(M ⋃ B) = n(M) + n(B) – n(M ⋂ B)

n(M ⋃ B) 35 + 25 - 15

= 45%

Hence, option (3) is correct.

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