Question

Q1: A Multinational Company is assigning each of six foreign office to its officers—Fareed, Ghulam, Hamid. Imtiaz, Junaid, and Kabeer—to offices. There are four foreign office L and M are located in countries with hot area, whereas offices R and S are located in countries with cold areas. The officers must be assigned according to the following rules:

Each foreign office must have at least one of the officers assigned to it.
At least one foreign office in a cold area must have at least two officers assigned to it.

 

Ghulam cannot be assigned to the same foreign office as Kabeer. Imtiaz must be assigned to a foreign office in a hot area. Junaid must be assigned to a foreign office in a cold area.

Answer 1

Q1: A Multinational Company is assigning each of six foreign office to its officers—Fareed, Ghulam, Hamid. Imtiaz, Junaid, and Kabeer—to offices. There are four foreign office L and M are located in countries with hot area, whereas offices R and S are located in countries with cold areas. The officers must be assigned according to the following rules:

Each foreign office must have at least one of the officers assigned to it.
At least one foreign office in a cold area must have at least two officers assigned to it.

Ghulam cannot be assigned to the same foreign office as Kabeer. Imtiaz must be assigned to a foreign office in a hot area. Junaid must be assigned to a foreign office in a cold area.

 

1. Which of the following is an acceptable assignment of the officers to the offices?

L M R S

(A) FAREED, GHULAM IMTIAZ, KABEER HAMID JUNAID

(B) GHULAM, KABEER IMTIAZ JUNAID FAREED, HAMID

(C) GHULAM FAREED, IMTIAZ KABEER JUNAID, HAMID

(D) JUNAID GHULAM, IMTIAZ HAMID FAREED, KABEER

(E) KABEER FAREED, HAMID IMTIAZ GHULAM, JUNAID

 

2. Which of the following must be assigned either to foreign office L or to foreign office M ?

(A) Fareed (B) Ghulam (C) Hamid (D) Imtiaz (E) Kabeer

3. Which of the following CANNOT be true?

(A) One worker is assigned to L.

(B) Two officers are assigned to R.

(C) Two officers are assigned to L.

(D) Three officers are assigned to M.

(E) Three officers are assigned to S.

 

4. If Ghulam and Kabeer are assigned to L and M, respectively, which of the following must be true?

(A) Fareed is assigned to either R or S.

(B) Imtiaz is assigned to either R or S.

(C) R and S each have two officers assigned to them.

(D) Hamid is assigned to L.

(E) Hamid is assigned to S.

 

 

 

 

 

5. If Ghulam, Hamid, and Kabeer are among the officers assigned to offices in cold areas, which of the

following must be true?

(A) Fareed is aligned to a foreign office to which none of the other five office officers is assigned.

(B) Ghulam is assigned to a foreign office to which none of the other five office officers is assigned.

(C) Junaid is assigned to the same foreign office as Kabeer.

(D) Hamid is assigned to the same foreign office as Ghulam.

(E) Hamid is assigned to the same foreign office as Kabeer.

 

_______________________

 

Q2: A room is one of several in which all the furniture is to be repainted. The room contains exactly four

pieces of furniture—a Table, two beds, and a Chair—and no furniture are to be moved into or out of that room. The repainting specifications are as follows:

On completion of repainting, any piece of furniture in a room must be uniformly blue, gray, purple, or white.

On completion of repainting, at least one of the pieces of furniture in a room must be gray, and the Chair must be either blue or white.

If, prior to repainting, a piece of furniture is either orange or yellow, that piece must be white on completion of repainting.

If, prior to repainting, a piece of furniture is purple, that piece must remain purple on completion of repainting.

All of the specification above can and must be met in each room scheduled for repainting.

 

1.    Which of the following could be the furniture colors in the room on completion of repainting? Table Bed Bed Chair

 

(A) Yellow Blue White Purple

(B) White Gray Gray Blue

(C) Gray White Orange Blue

(D) Blue Purple White Purple

(E) Purple White Blue Gray

 

 

 

 

 

 

2.    If, prior to repainting, one bed in the room is orange and the other bed is purple, which of the following must be true of the furniture in the room on completion of repainting?

(A) The Table is gray

(B) Exactly one of the beds is blue

(C) Exactly one of the beds is orange.

(D) Both of the beds are white.

(E) The Chair is purple.

 

3.    If. Prior to repainting, the Chair in the room is gray and the other three pieces of furniture are white, then of these four pieces of furniture there must be how many that are painted a color that differs from its color prior to repainting?

(A)   Four (B) Three (C) Two (D) One (E) None

 

4.    Prior to repainting, and given the repainting specifications, the Chair in the room could have been any of the following colors EXCEPT

(A)   Blue (B) Gray (C) Purple (D) White (E) Yellow

 

5.    If, prior to repainting, the Table is white, one bed is orange, one bed is purple, and the Chair is gray, which of the following must be true of the furniture in the room on completion of repainting?

(A) At least one piece of furniture is blue.

(B) Only one piece of furniture is gray.

(C) Only one piece of furniture is purple.

(D) Exactly two pieces of furniture are white

(E) Exactly two pieces of furniture are changed in color as a result of repainting.

 

6.    Which of the following could be true of the furniture in the room prior to repainting if, also prior to repainting, three of the pieces of furniture in the room are purple?

(A) The Chair is blue.

(B) The Chair is gray

(C) One piece of furniture is white

(D) One piece of furniture is yellow

(E) The fourth piece of furniture also is purple.

 

_______________________

 

 

 

 

 

 

 

 

 

 

Q3: An engineer is planning to build a housing complex on an empty block of land. Exactly seven different designs of houses—F, G, H, I, J, K, and L—will be built in the complex. The complex will contain several blocks, and the engineer plans to put houses of at least three different designs on each block.

The engineer will build the complex according to the following rules:

Any block that has design L on it must also have design J on it.

Any block adjacent to one that has on it both design H and design K must have on it design I and design L.

No block adjacent to one that has on it both design R and design L can have on it either design I or design J

No block can have on it both design H and design F.

 

1.    Which of the following can be the complete selection of house designs on a block?

(A) F, G, H

(B) F, H, K

(C) G, T, L

(D) H. J, L

(E) I, K, L

 

2.    Which of the following house designs must be on a block that is adjacent to one that has on it only designs H, I, J, K, and L?

(A) F

(B) R

(C) H

(D) J

(E) K

 

3.    Which of the following can be the complete selection of house designs for a block that is adjacent to exactly one block, if that one block has on it designs H, I, J, and K only?

(A) H, I, and K

(B) I, K, and L

(C) G, H, K, and L

(D) H, I, J, and K

(E) I, J, K, and L

_______________________

 

 

 

 

 

 

 

 

 

Q4: In a game, exactly six inverted caps stand side by side in a straight line, and each has exactly one paper hidden under it. The caps are numbered consecutively 1 through 6. Each of the papers is painted a single solid color. The colors of the papers are gold, mauve, olive, pink, silver, and white. The papers have been hidden under the caps in a manner that conforms to the following conditions:

The pink paper must be hidden under a lower-numbered cap than the olive paper.

The silver paper must be hidden under a cap immediately adjacent to the cap under which the mauve paper is hidden. The gold paper must be hidden under cap 5.

 

1.    Which of the following could be the colors of the papers under the caps, in order from 1 through 6?

(A) Gold, white, mauve, silver, pink, olive

(B) Mauve, gold, pink, silver, olive, white

(C) Mauve, silver, pink, white, gold., olive

(D) Olive, white, silver, mauve, gold, pink

(E) Silver, pink, mauve, white, gold, olive

 

2.    If the mauve paper is under cap 4, the silver paper must be under cap

(A)   1 (B) 2 (C) 3 (D) 5 (E) 6

 

3.    A paper of which of the following colors could be under cap 6?

(A)   Gold (B) Mauve (C) Pink (D) Silver (E) White

 

4.    If the pink paper is under cap 4, the olive paper must be under cap

(A)   1 (B) 2 (C) 3 (D) 5 (E) 6

 

5.    Which of the following must be true?

(A) The gold paper is under a lower-numbered cap than the white paper.

(B) The olive paper is under a lower-numbered cap than the gold paper.

(C) The pink paper is under a lower-numbered cap than the gold paper.

(D) The pink paper is under a lower-numbered cap than the silver paper.

(E) The silver paper is under a lower-numbered cap than the white paper.

 

6.    If the olive paper is under cap 2, papers of which of the following colors could be under caps immediately adjacent to each other?

(A) Gold and mauve

(B) Gold and pink

(C) Olive and white

(D) Pink and silver

(E) Silver and white

 

 

 

 

 

 

7.    If the mauve paper is under cap 1, papers of which of the following colors must be under caps immediately adjacent to each other?

(A) Gold and olive

(B) Gold and white

(C) Pink and silver

(D) Pink and white

(E) Silver and white

 

 

 

 

Analytical Reasoning questions answers (solved)