Read the given information carefully and answer the following questions.

There are 5 buildings A, B, C, D, and E such that building A is to the west of building B, building B is to the west of building C and so on. Building A has four floors, building B has three floors, building C has five floors, building D has two floors and building E has 4 floors. The bottommost floor is numbered 1, the floor above it is numbered 2 and so on.

Number of persons on each building from the bottommost floor to topmost floor is given as follows.

Building A: 51, 21, 15, 30

Building B: 40, 18, 34

Building C: 32, 21, 26, 17, 13

Building D: 19, 33

Building E: 28, 34, 42, 23

A dice throwing game is being played and 3 dices are thrown. As per the given conditions, the movements of persons take place.

I)If a prime number appears on the third dice and an even number appears on at least one of the other two dices, then the persons on the third floor of the building that is immediately next in east direction to the building with least number of floors moves to the third floor of the building that is immediately next in the west direction to the building having a maximum number of floors.

II)If a prime number appears on more than one of the dices, and an even number appears on the other dice then half the number of persons on the first floor of building E is moved to the second floor of the same building and then one – fourth of the total persons in the second-floor of that building moves to the third floor of building A and then one – third of the persons on the third floor of building A moves to the first floor of building C.

III) If an odd prime number appears on either of the first or third dice and two non-prime numbers appear on the other two dices then the persons on the second floors of all the first four buildings from west to the east together are equally distributed to the first three buildings from west to east. The persons move in such a way that the persons distributed to building A move to the first floor of building A, the persons distributed to building B move to the second floor of building B, and the remaining to the third floor of building C.

(Note: Take 1 as a non-prime number)

1) What will be the total number of persons in the buildings B and C together if 4, 2, and 5 appear on throwing the three dices respectively?

A.263

B.265

C.273

D.241

E. data insufficient

2) What will be the total number of persons in the buildings A, C, and E together if 3, 2, and 6 appear on throwing the three dices respectively?

A.340

B.353

C.343

D.334

E. data insufficient

3) On throwing the three dices, 5, 1, and 4 appear respectively. Then the number of persons on the even-numbered floors of all the buildings together is _____?

A.125

B.146

C.135

D.153

E. data inadequate

4) On throwing the three dices, different numbers appear on each dice and then a certain number of persons have moved from one building to another building accordingly. If the number of persons on the buildings B and E is 134, 85 respectively, then which of the following represents the outcomes of three dices up on throwing?

A.8, 2, and 3

B.5, 1, and 3

C.1, 4, and 3

D.6, 2, and 5

E.None of these

Explanation :

From the given information, the diagrammatic representation of the buildings, its floors, and the number of persons on each floor are as follows.

Answer: E

The dices show 4, 2, and 5 respectively.

Here the third dice shows a prime number and the other two dices shows even numbers. So condition I may apply.

But 2 is an even prime number here. So condition II may also apply.

So, the data is not sufficient enough to answer the question.

2) Answer: B

On throwing the dices, they show 3, 2, and 6 respectively.

Here 2 and 3 are prime numbers and 6 is an even number. So condition II applies here.

As per condition II, half the number of persons on the first floor of the building E i.e. 14 persons moves to the second floor of the same building. So, the number of persons on the second floor of building E will be 34 + 14 = 48.

Now, one – fourth of the persons on the second floor of the building E i.e. 12 persons have to be moved to the third floor of building A. Then the number of persons on the third floor of building A will be 15 + 12 = 27.

Now, one – third of the number of persons on the third floor of building A i.e. 9 persons have to be moved to the first floor of building C. Then the number of persons on the first floor of building C will be 32 + 9 = 41.

After following all the steps, the number of persons on different floors of different buildings is as follows.

The total number of persons in buildings A, C, and E =120 + 118 + 115= 353

3) Answer: C

The first dice shows a prime number and the other two dices are non-prime numbers. So, condition iii applies here.

As per condition III, the persons on the second floors of the first four buildings together i.e. 93 has to be equally distributed to the buildings A, B, and C. So 31 persons will be added to each building.

It is also given that they move in such a way that persons distributed to building A move to the first floor of building A, persons distributed to building B move to the second floor of building B, and the remaining to the third floor of building C.

The number of persons on the even-numbered floors of all the buildings together = 31 + 34 +30 +17 + 23 = 135

4) Answer: C

If we can observe clearly, the persons from the third floor of building E have moved to build B, which means the condition I is applied here.

So, the number on the third dice must be a prime number and any of the other two must be an even number. Option b can be eliminated for the same reason.

In option a and option d, there is an even prime number i.e.2. None of them could be the outcomes because if they are the outcomes, then it would make a clash between condition I and condition II. The data is insufficient in their case.

So, option c is correct.