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# Puzzles for competitive exams

Eight persons live in a six storied building. The ground floor is numbered 1, first floor numbered 2 and so on. Each floor has two flats Flat X and Flat Y. Flat X is to the west of Flat Y. Each of the flat has the same construction, so the building can also be said to be stalked in two columns. Only one person can live in one flat. Each person has different number of chocolates, with 2 being the least and 9 being the highest number of chocolates. G and W lives in the same column. B, who has two more chocolates than that of G, lives in a flat just above Câ€™s flat and along the same column. Neither J nor M lives along the same column of the building as that of W. The person who has 8 chocolates lives alone on the floor in which he resides. The total number of chocolates with the persons living on the topmost floor is 10, with Flat X having more chocolates than Flat Y. M and W does not live on two consecutive floors. No one lives on the floor in which D lives and D has 7 chocolates. No two flats in the consecutive floors in the same column are vacant. O and G live in the same column and O is at least two floors above G. The number of floors between the floors of W and G is same as the number of floors between the floors of D and W but not on consecutive floors. The number of floors between the floors of J and D is same as the number of floors between the floors of M and C. If B lives below the floor of W, then B does not live alone on the floor.

1. Who among the following has 8 chocolates?

A. C

B. J

C. W

D. O

E. M

2. In which floor does B live?

A. 1st

B. 2nd

C. 3rd

D. 4th

E. 5th

3. Which of the following statements regarding D is false?

A. D lives in the building in which O lives

B. D lives in the floor immediately below the one who has 6 chocolates

C. D lives in the floor immediately above the one who has 2 chocolates

D. D and C lives in different floors

E. All are true

4. How many chocolates does O have?

A. 6

B. 4

C. 8

D. Either a) or b)

E. Neither a) nor b)

1. B

2. D

3. C

4. DÂ

Nine friends namely - P, Q, R, S, T, U, V, W, and X studying in different colleges namely â€“JNTU, NIT, and IIT attend a seminar. Each college was attended by three students. In the seminar, they are to be seated in twelve chairs placed in three rows and four columns such that one chair in each row remains vacant. Rows are numbered 1 to 3, from top to bottom and columns are numbered 1 to 4, from left to right.

Two friends studying in the same college sit neither in the same row nor in the same column. S, who studies along with P, sits in the 3rd row - 3rd column. U, who studies in IIT, sits in the 2nd row. R sits in the 2ndrow - 4th column. The one sitting to the left of S, studies in JNTU. P does not study with R.

Q, who studies in JNTU, sits in the 2nd row â€“ 1st column. The one who sits in the 1strow - 1stcolumn, studies in IIT. W, a JNTU student sits neither in the same row nor in the same column as R and does not sit adjacent to the one studying in IIT. X sits in the 3rd row â€“ 1st column. V sits on first row.

5. Which of the following represents the students studying in NIT?

A. P, S, and V

B. R, V, and T

C. T, V, and X

D. R, V, and X

E. R, S, and P

6. Which of the following represents the correct combination of name and college of the person sitting in the 1st row â€“ 2nd column?

A. W, JNTU

B. V, NIT

C. P, IIT

D. T, NIT

E. The seat is vacant

7. Which of the following statement is true?

A. P sits in the 1st row and studies in NIT.

B. T, who studies in JNTU is next to R.

C. R is sitting adjacent to a vacant seat and also adjacent to a person studying in IIT.

D. There are 2 vacant seats in column 4.

E. No person is sitting adjacent to W.

8. Who among the following neither sits in the same row nor in the same column as T?

A. S

B. V

C. X

D. U

E. None of these

Solution:

5. D

6. B

7. D

8. EÂ

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.

1. 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 maximum number of floors.

2. 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 â€“ fourth of the total persons in the second-floor of that building moves to the third floor of building A and then one â€“ third of the persons on the third floor of building A moves to the first floor of building C.

3. 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)

9. 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

10. 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

11. 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. 137

D. 153

12. 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. 1, 2, and 3

B. 5, 1, and 3

C. 1, 4, and 3

D. 6, 2, and 5

E. None of these

101. E

102. B

103. C

104. CÂ