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Problem Solving (PS) | Re: In a competition, a school awarded medals in different categories

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zs2 wrote:

In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in dramatics and 18 medals in music. If these medals went to a total of 45 persons and only 4 persons got medals in all the three categories, how many received medals in exactly two of these categories?

a. 12
b. 13
c. 14
d. 15
e. 16

Formula: Total = Group-1 + Group-2 + Group-3 – (Sum of Exactly two-group overlap) – 2×All three +None
45 = 36+12+18-X-2*4+0
X = 13

Ans. B
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