Question

If all the seven objects are on two shelves, which of the following must be true?

• A. T, V and W are on the top shelf.
• B. No more than three objects are on the middle shelf.
• C. At least three objects are on the top shelf.
• D. U is on the top shelf.
• A. U is either on the middle or top shelf.
• B. W is on the top shelf.
• C. X is on the bottom shelf.
• D. If Y is on the bottom shelf, Z is on the middle shelf.
• A. T is on the middle shelf
• B. U is on the bottom shelf
• C. Y is on the top shelf.
• D. Z is on the middle shelf

Answer 1

The Correct Option is C

As per the question,

All seven objects are placed on two shelves.

At least two objects must be on the top shelf.

T and U must be on different shelves.

V and W must be either one or two shelves above X.

Let's Suppose If all objects are on two shelves, X must be on the lower of the two shelves, and V and W must be on the higher shelf.

One shelf will have at least three objects.

For Option A:
This condition can be true, but it's not necessarily guaranteed

For Option B:
If all objects are on two shelves, the middle shelf may not be used at all.

For Option C:
Since all objects are on two shelves and at least two objects are required on the top shelf, it follows that at least three objects must be placed there. This has to be True

For Option D:
There is no guarantee that this can be True.

The correct option is (C): At least three objects are on the top shelf.

Answer 2

As per the question,

V and T are the only two objects on one shelf.

At least two objects must be on the top shelf.

T and U must be on different shelves.

V must be either one or two shelves above X.

W must be either one or two shelves above X.

V and T are on the same shelf. as given in the question.

So, V must be one or two shelves above X, so X must be on a lower shelf than V and T.

W must also be placed above X.

For Option A:
As U must be on a different shelf from T, and V and T are together on a shelf, U cannot be on the same shelf as T and V. This means U must be on either the middle or top shelf.

For Option B:
V is one or two shelves above X, and V is on a shelf with T, X must be on a shelf lower than V and T. Hence, X is likely on the bottom shelf. This can be True

For Option C:
W must be placed above X, so if X is on the bottom shelf, W could be on the middle or top shelf. It’s not guaranteed that W is on the top shelf.

For Option D:
There is no guarantee by the rules provided. The placement of Y and Z is flexible

The correct option is (C): X is on the bottom shelf.

Answer 3

Given in the question,

V and W are together on a shelf.

Four objects are on the middle shelf.

At least two objects must be on the top shelf.

T and U must be on different shelves.

V is either on one shelf or two shelves above X.

W is either on one shelf or two shelves above X.

As V and W are on the same shelf, and since they are on a shelf together, it must not be the middle shelf

Since there are four objects on the middle shelf, the remaining objects must be on the middle and the top and bottom shelves.

V and W are placed either one or two shelves above X, and they are together, X must be on a lower shelf than them

For Option A:
As there are four objects placed on the middle shelf and two on another shelf (V and W), Y could likely be on the top shelf to fulfill the requirement of having at least two objects

For Option B:
Since U and T must be on different shelves, and there are only three possible shelves, U could be on the bottom shelf. This is a possibility, but not confirmed

For Option C:
This is likely because U and T must be on different shelves, and if U is on the bottom shelf, T would be on the middle shelf.

For Option D:
Z could be on the middle shelf to make up the four objects on that shelf, but it's not necessarily guaranteed. It’s a possibility

The correct option is (C): Y is on the top shelf.