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Question

# Find the number of women who like diamond only.

A
60
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B
240
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C
120
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D
198
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E
84
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Solution

## The correct option is D 198Diamond =600×40100=240 Ruby =600×20100=120 Emerald =600×10100=60 Diamond and Ruby =600×5100=30 Ruby and Emerald = =600×3100=18 Emerald and Diamond =600×4100=24 Diamond, Emerald and Ruby =600×2100=12 ∴a+d+e+f=240 ⇒b+d+e+g=120 ⇒c+f+e+g=60 ⇒d+e=30 ⇒e+g=18 ⇒e+f=24 ⇒e=12 ∴f=24−12=12g=18−12=6d=30−12=18c=60−12−12−6=30 ∴b=120−30−6=84 ∴a=240−30−12=198 Number of women who like diamond only =198

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