# If Neither Type of Woods is on Sale, Then Each of the Following Must Be True Except - Logical Reasoning

MCQ

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.

If neither type of Woods is on sale, then each of the following must be true EXCEPT

#### Options

• Domestic Hydra is on sale.

• Export Hydra is on sale.

• Domestic Neesh is not on sale.

• Export Proposal is on sale.

#### Solution

Export Proposal is on sale.

Explanation:

From (iv), (i) and (ii), If neither type of Woods is on sale, then, both type of Hydra is on sale.  From (v), Hydra is on sale, so No Neesh is on sale.  Hence, export proposal is on sale can not must be true.

Concept: Problem Solving Ability (Entrance Exam)
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