In the name of ALLAH, the most beneficient, the most merciful

Solved Examples (Analytical Reasoning)

Directions: The following questions are based on a passage or set of conditions. To answer the question, choose the answer you think is most appropriate among the given options.

Questions 1-3

Three men (Tahir, Pervaiz and Javed) and three women (Elena, Ayesha and Kiran) are spending a few months at Abbottabad. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses.

  1. Ayesha, Tahir and Javed do not want to stay in any cottage, which is at the end of the row.
  2. Elena and Ayesha are unwilling to stay besides any occupied cottage.
  3. Kiran is next to Pervaiz and Javed.
  4. Between Ayesha and Javed's cottage there is just one vacant house.
  5. None of the girls occupies adjacent cottages.
  6. The house occupied by Tahir is next to an end cottage.

  1. Which of the above statements can be said to have been derived from two other statements?

    1. Statement 1
    2. Statement 2
    3. Statement 3
    4. Statement 5
    5. Statement 6
    (D. Statement 5) Statement 5 is the one that is derived from Statement 2 and Statement 3 because in these two statements girls are not surrounded by boys.

  2. How many of them occupy cottages next to a vacant cottage?

    1. 2
    2. 3
    3. 4
    4. 5
    5. 6
    (C. 4) We can see that Elena, Ayesha, Javed and Tahir live next to vacant rooms.

  3. Which among these statement(s) are true?

    1. Ayesha is between Elena and Javed.
    2. At the most four persons can have occupied cottages on either side of them.
    3. Tahir stays besides Pervaiz.
    1. I only
    2. II only
    3. I and III only
    4. II and III only
    5. I, II and III
    (C. I and III only) We can see that Ayesha is in between Elena and Javed. Moreover, Tahir and Pervaiz live side by side. So statement I and III are true.

Questions 4-6

An Internal Services Manager at large corporation has been assigned the task of allotting offices to six of the staff members. The offices are titled A through F.
Mrs. Ruby needs to use the telephone quite often throuhout the day. Mr. Mujahid and Mr. Zahid need adjacent offices as they need to consult each otheroften while working. mrs. Fauzia is a senior employee and has to be allotted the office marked E, having the biggest window.
Mr. Abid requires silence in the offices next to his. Mr. Shahid, Mr. Mujahid and Mr. Abid are all smokers. Mr. Fauzia requires non-smoker neighbours.
Unless specifically stated all the employees maintain an atmosphere of silence during office hours.

  1. The ideal candidate to occupy the office farthest from Mr. Zahid would be

    1. Mrs. Fauzia
    2. Mr. Mujahid
    3. Mr. Shahid
    4. Mr. Abid
    5. Mrs. Ruby
    (D. Mr. Abid) Abid will be the farthest person from Mr. Zahid. Abid (A), Shahid (B), Mujahid (C), Zahid (D), Fauzia (E) Ruby (F). Abid will live in A, because he could get silence attaet at one side of his room.

  2. The three employees who are smokers should be seated in the offices

    1. A, B and D
    2. B, C and F
    3. A, B and E
    4. A, B and C
    5. A, B and F
    (D. A, B and C) Abid, Shahid and Mujahid are smokers live in A, B & C because any one of them can't live at D & F beacuse Fauzia in office E wants non-smoker at her adjacent offices.

  3. The ideal office for Mr. Mujahid would be

    1. B
    2. F
    3. A
    4. C
    5. D
    (D. C) Mr. Mujahid would live in office C, because Zahid and Mujahid live next to each other. Moreover Mujahid is smoker and can't live next to Miss Fauzia.

Questions 7-11

Two or more tea leaves out of five varieties-- Livana, Mathia, Novajana, Oxia and Piask are used in making all branded blends by a marketer following the rules given below:
A brand containing Livana, should also contain Novajana twice that of Livana.
A brand containing Mathia, must also have equal quantity of Oxia.
A single brand never contains Novajana as well as Oxia.
Oxia and Piask should not be used together.
A blend containing Piask should contain it in such a proportion that the total amount of Piask present should be greater than the total amount of the other tea leaves.

  1. Among the following which is an acceptable brand in accordance with the rules?

    1. One part Livana, one part Piask
    2. Two parts Mathia, two parts Livana
    3. Three parts Novajana, three parts Livana
    4. Four parts Oxia, four parts Mathia
    5. Five parts Piask, five parts Mathia
    (D. Four parts Oxia, four parts Mathia) Four parts Oxia & four parts Mathia would be an ideal mixture because it doesn't violate any condition & satisfy all of them. The one which is concerned with this mixture is that there must be equal proportion of Oxia & Mathia.

  2. Adding more amount of Novajana will make which of the following brands conformable with the conditions?

    1. One part Livana, one part Novajana, five parts Piask
    2. Two parts Mathia, two parts Novajana, two parts Piask
    3. One part Mathia, one part Novajana, one part Piask
    4. Two parts Mathia, one part Novajana, four parts Piask
    5. Two parts Novajana, one part Oxia, three parts Piask
    (A. One part Livana, one part Novajana, five parts Piask) If we add 1 more part of Novajana, mixture would become
    2 parts novajana
    1 part Livana
    5 parts Piask.

  3. Among the following, the addition of which combination would make a brand containing two parts Novajana and one part Piask conformable with the conditions?

    1. One part Livana
    2. One part Mathia
    3. Two parts of Novajana
    4. One part Oxia
    5. Two parts Piask
    (E. Two parts Piask) If we add 2 more parts of Piask, it would dominate the amount of Novajana in the mixture. All conditions satisfied.

  4. Among the following, which combination cannot be used together in an agreeable brand containing two or more types of tea leaves?

    1. Livana and Mathia
    2. Livana and Novajana
    3. Livana and Piask
    4. Mathia and Oxia
    5. Piask and Novajana
    (A. Livana and Mathia) If Livana is included, two parts of Novajana must be included. Mathia comes with Oxia and now this becomes a combination of 4 i.e. Livana, Novajana, Mathia and Oxia where Oxia and Novajana can't come together. Hence A is the one that is not possible.

  5. Among the below mentioned brands, which can be made agreeable by the eliminating some or all of one type of tea leaves?

    1. One part Livana, one part Mathia, one part Novajana, four parts Piask
    2. One part Livana, two parts Novajana, one part Oxia, four parts Piask
    3. One part Livana, one part Mathia, one part Oxia, one part Piask
    4. Two parts Livana, two parts Novajana, one part Oxia, two parts Piask
    5. Two parts Mathia, one part Novajana, two parts Oxia, three parts Piask
    (B. One part Livana, two parts Novajana, one part Oxia, four parts Piask) If we remove the only part of Oxia, the combination becomes 1 Livana, 2 Navajana and 4 Piask. This combination satisfies all the conditions.

Questions 12-17

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees labeled A, B and C.
Each candidate should serve on exactly one of the committees.
Committee A should consist of exactly one member more than that of committee B.
It is possible that there are no members of committee C. Among Z, Y and X none can serve on committee A. Among W, V and U none can serve on committee B. Among T, S and R none can serve on committee C.

  1. In case T and Z are the individuals serving on committee B, how many of the nine individuals should serve on committee C?

    1. 3
    2. 4
    3. 5
    4. 6
    5. 7
    (B. 4) If two persons serve in committee B, then three would in A & B. The rest 4 of the persons would serve in C.

  2. Of the nine individuals, the largest number that can serve together on committee C is

    1. 9
    2. 8
    3. 7
    4. 6
    5. 5
    (D. 6) If one works in committee B, now two persons have to work in A, the rest 6 will serve in C, moreover, the persons serving in committee A & B are R, S and T because they can't serve in committee C.

  3. In case R is the only individual serving on committee B, which among the following should serve on committee A?

    1. w and S
    2. V and U
    3. V and T
    4. U and S
    5. T and S
    (E. T and S) S and T can't serve in committee C, therefore, these two will have to serve in committee A. Moreover, one person in B means two persons in A.

  4. In case, any of the nine individuals serves on committee C, which among the following could not be the candidate to serve on committee A?

    1. R
    2. Y
    3. W
    4. T
    5. S
    (C. W) Now we are left with two conditions i.e.
    A can't have X, Y and Z
    B can't have U, V and W
    Therefore, A can have U, V, W, R, S and T, the only available option is W which can serve on committee A.

  5. In case T, S and X are the only individuals serving on committe B, the total membership of committee C should be:

    1. Z and Y
    2. Z and W
    3. Y and V
    4. Y and U
    5. X and V
    (A. Z and Y) If S, T and X are living in B then four persons must be in A. Four persons serving in A would be R, U, B and W. Y & Z can't serve in committee A as per conditions. Therefore only Y & Z are possible candidates to serve in C.

  6. Among the following combinations which could constitute the membership of committee C?

    1. Y and T
    2. X and U
    3. Y, X and W
    4. W, V and U
    5. Z, X, U and R

    (B. X and U)

    ABC
    216
    324
    432
    540

    From the above table, it becomes evident that even number of candidates would serve in C and those would not include R, S and T. The only option that contains even number of candidates and the option that do not include R, S and T, is option B i.e. X and U

Questions 18-23

Four captains and the first mates of three of them were called to attend the annual meeting at head quarters. The captains were Luqman, manzoor, Nauman and Osaf; the first mates were Ayesha, Durya and Gia. Eacg person in turn delivered a report to the chairperson as follows:
Each of the first mates delivered their report exactly after her captain. The first captain to speak was Manzoor and captain Nauman spoke after him.
(Represent the person with first letter of his name)

  1. Which of the following order of delivering report is not conformable with the conditions?

    1. M, A, N, G, O, L, D
    2. M, D, N, G, L, O, A
    3. M, N, A, L, D, O, G
    4. M, N, A, O, D, L, G
    5. M, N, G, D, O, L, A
    (E. M, N, G, D, O, L, A) Option E says,
    Manzoor - Nauman - Gia - Durya - Osaf - Luqman - Ayesha
    From condition, it is sure that two mates can never be together. Moreover, please note that two captains can come consectively because one captain has no mate.

  2. In case A is the third of the first mates to speak, and L is the captain Whose first mate is not present, which among the following statements must be true?

    1. A spoke sometime before L.
    2. D spoke sometime before O.
    3. L spoke sometime before O.
    4. O spoke sometime before L.
    5. O spoke sometime before N.
    (B. D spoke sometime before O.) Manzoor (1), Nauman (2), Luqman, Osaf, Ayesha
    Manzoor (1), Nauman (2), Osaf, Ayesha, Luqman
    At position 1 and 2 any of the two mates D & G can be accommodated. We can see that in both these situations Durya is going to speak before Osaf. From condition, it is sure that two mates can never be together. Moreover, please note that two captains can come consectively because one captain has no mate.

  3. Among the following statements, which statement must be true?

    1. In case the second speaker was a captain, the seventh speaker was a first mate.
    2. In case the second speaker was a first mate, the seventh speaker was a captain.
    3. In case the third speaker was a first mate, the seventh speaker was a captain.
    4. In case the third speaker was a captain, the seventh speaker was a first mate.
    5. In case the seventh speaker was a first mate, the first and third speakers were captains.

    (A. In case the second speaker was a captain, the seventh speaker was a first mate.) If second speaker was captain, then the first captain is without mate. The sequence become

    CCMCMCM
    1234567

    Hence, 7th speaker would be a first mate.

  4. In case, A spoke immediately after L and immediately before O, and O was not the last speaker, L spoke

    1. second
    2. third
    3. fourth
    4. fifth
    5. sixth
    (C. fourth) The condition given shows that L, A and O speak consecutively. Now before L, M and N must also speak and at last one of M and N has his mate. Therefore M, N and O one mate occupies first 3 positions and L would be at the 4th position.

  5. In case L speaks after A, and A is the third of the first mates to speak, then among the following statements which would be untrue?

    1. O spoke immediately after G
    2. The order of the first four speakers was M, G, N, D.
    3. O’s first mate was present
    4. A was the fourth speaker after M
    5. The captains spoke in the order M, N, O, L
    (D. A was the fourth speaker after M)

  6. Among the following statements, which would make M, D, N, G, L, O, A the only possible sequence of speakers?

    1. D is M’s first mate; G is N’s first mate; A is O’s first mate.
    2. D is M’s first mate; G is N’s first mate; A was the second to speak after L.
    3. The order of the first four speakers was M, D, N, G.
    4. The order of the last three speakers was L, O, A.
    5. The order in which the captains spoke was M, N, L, O.
    (B. D is M’s first mate; G is N’s first mate; A was the second to speak after L.) If D is first mate of M and G is N’s first mate and A is the second to speak after L, then N D N G L O A.

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