CAT 2022 Slot 2 — DILR Question 8
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.
Which among the following options best represents the number of domestic cosmetic products that had both the approvals?
Answer & solution
- A
At least 20 and at most 70
At least 10 and at most 60
- C
At least 20 and at most 50
- D
At least 10 and at most 80
Consider the solution to first question of this set.
Domestic products which have both approvals = 60.
∴ Domestic cosmetic products with both approvals cannot be more than 60.
Maximum only FDA approved cosmetic domestic products can be 70, hence minimum cosmetic domestic products with both approvals can be 10.
Hence, option (b).