CAT 2022 Slot 2 — DILR Question 9
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 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?
Answer & solution
- A
30
- B
50
10
- D
20
Consider the solution to first question of this set.
We have:
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If 70 cosmetic products did not have EU approval, then number of nutrition products with both approvals = only FDA approved cosmetic (foreign + domestic) products
⇒ 70 = 40 + only FDA approved cosmetic domestic products
⇒ only FDA approved cosmetic domestic products = 30
We can fill the remaining table as follows.
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Number of nutrition products with both approvals = 0 + 10 = 10
Hence, option (c).