CAT 2022 Slot 2 — DILR Question 10
Answer the next 5 questions based on the information given below:
A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals – FDA or EU.
The following facts are also known:
1. There were equal numbers of domestic and foreign products.
2. Half of the domestic products were FDA approved cosmetic products.
3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
4. There were 140 nutrition products, half of them were foreign products.
5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.
If 50 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval?
Answer & solution
Answer: 50
Consider the solution to first question of this set.
We have:
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50 nutrition products did not have EU approval = 30 + only FDA domestic nutrition products
⇒ only FDA domestic nutrition products = 20
We can fill the table as follows:
We have:
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∴ Number of domestic cosmetic products without EU approval = 50
Hence, 50.