Which One of the Following Cannot Be True? - Logical Reasoning

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MCQ

Read the following information carefully and answer the question given below.

Shopper's Stop offers exactly 10 types of perfumes - both domestic and export varieties of Woods, Proposal, Rose, Neesh and Hydra. Shopper’s Stop is having a sale on some of these types of perfumes. The following conditions must apply:

i. Export Rose is on sale: domestic Proposal is not.
ii. If both types of Rose are on sale, then all Hydra is.
iii. If both types of Woods are on sale, then no Neesh is
iv. If neither type of Woods is on sale, then domestic Rose is.
v. If either type of Neesh is on sale, then no Hydra is.

Which one of the following CANNOT be true?

Options

  • Neither type of Woods and neither type of Proposal is on sale.

  • Neither type of Woods and neither type of Hydra is on sale.

  • Neither type of Proposal and neither type of Neesh is on sale.

  • Neither type of Proposal and neither type of Hydra is on sale.

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Solution

Neither type of Woods and neither type of Hydra is on sale.

Explanation:

From (iv), (i) and (ii), Neither type of wood is on sale,  then domestic Rose on sale.  Hence, 'Neither type of Woods and neither type of Hydra is on sale.' can not be true because with export Rose is on sale, then all Hydra is on sale.  

Concept: Problem Solving Ability (Entrance Exam)
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Shopper's Stop offers exactly 10 types of perfumes - both domestic and export varieties of Woods, Proposal, Rose, Neesh and Hydra. Shopper’s Stop is having a sale on some of these types of perfumes. The following conditions must apply:

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