PWC Reasoning Question

DIRECTIONS for question 1 to 5: Based on the following table answer the given question.
UniversitiesTotal Number of faculty membersPercentage of Assistant professorsNumber of Associate professors
J2506075
K1807524
L1508016
M1006321
Note: The faculty members include Assistant Professors, Associate Professors and Professors only.
  1. What is the difference between the total number of Associate Professors in Universities J and M together and the total number of Professors in the same universities together?
    1. 54
    2. 55
    3. 68
    4. 58
    5. 53
    Answer: Option B.
    Universities Total No. of faculty membersAssistant ProfessorsAssociate ProfessorsProfessors
    J2501507525
    K1801352421
    L1501201614
    M100632116
    Total number of Associate professor in universities J and M together = 75+21= 96
    Total number of professor in universities J and M together = 25+16= 41
    Difference between the Total number of Associate professor in universities J and M
    together and Total number of professor in universities J and M together= 96- 41= 55
  2. In University M, 8/21 of the Assistant Professors are males and in University L, 3/5 of the Assistant Professors are males. What is the respective ratio between male assistant Professors in University M and that in University L?
    1. 2:5
    2. 1:3
    3. 3:5
    4. 2:7
    5. None of these
    Answer:  Option B.
    Universities Total No. of faculty membersAssistant ProfessorsAssociate ProfessorsProfessors
    J2501507525
    K1801352421
    L1501201614
    M100632116
     
    In university M, 8/21 of the assistant professors are males= 8/21 ×63= 24
    In university L, 3/5 of the assistant profession are males= 3/5 ×120= 72
    Ratio of between male assistant professors in university M and University L= 24:72= 1:3
  1. Total number of professors is approximately what percentage of total number of faculty members?
    1. 11%
    2. 23%
    3. 6%
    4. 15%
    5. None of these
    Answer: Option A.
    Universities Total No. of faculty membersAssistant ProfessorsAssociate ProfessorsProfessors
    J2501507525
    K1801352421
    L1501201614
    M100632116

    Total number of professors= 25+21+14+16 = 76
    Total number of faculty members = 250+180+150+100=680
    % = (76/680) ×100=11.18 ≈ 11%
  2. What is the average number of Assistant Professors in Universities K, L and M?
    1. 102
    2. 106
    3. 105
    4. 104
    5. 108
    Answer: Option B.
    Universities Total No. of faculty members Assistant Professors Associate Professors Professors J 250 150 75 25 K 180 135 24 21 L 150 120 16 14 M 100 63 21 16

    Average number of Assistant Professors in Universities
    K, L and M=(135+120+63)/3 =318/3 =106.
    DIRECTIONS for question 5 to 7: The questions below has two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements disregarding commonly known facts.
    1. If only (1) conclusion follows
    2. If only (2) conclusion follows
    3. If either (1) or (2) follows
    4. If neither (1) nor (2) follows
    5. If both (1) and (2) follow.
  3. Statements: Some costs are tariffs. Some tariffs are fees
    1. Conclusion I: Some costs are fees.
    2. Conclusion II: All costs are fees.
    Answer: Option D.

    Conclusion I: Some costs are fees, is false.
    Conclusion II: All costs are fees, is false.
    Neither conclusion I nor Conclusion II follows.
     
  4. Statements: All notices are warnings. No warning is a remark.
    1. Conclusion I: At least some warnings are notices.
    2. Conclusion II: No notice is a remark.
    Answer: Option E.

    Conclusion I: Atleast some warnings are notices, is true.
    Conclusion II: No notice is a remark, is true.
    Both conclusion I and II follows.
  5. Statements: No thought is a perception. Some perceptions are suggestions.
    1. Conclusion I: No thought is a suggestion.
    2. Conclusion II: Some thoughts are suggestions.
    Answer: Option C.

    Conclusion I: No thought is a suggestion.
    Conclusion II: Some thoughts are suggestions.
    Individually conclusions I and II may
    or may not follow but either Conclusion I or II always follows.This sentence is correct.
  6. What should come in place of question mark (?) in the series given below?
    AABCAABCDAABCDEAABCD?
    1. F
    2. E
    3. Q
    4. B
    5. G
    Answer: Option B
    A A B C A A B C D A A B C D E A A B C D ?
    In this, segregate the arrangement in such a way written bellow:
    AABC
    AABCD
    AABCDE
    AABCD?
    Therefore, the complete pair will be AABCDEF next letter after D will be E.
    DIRECTIONS for question 9 to 10: Study the following information and answer the question.

    Nine friends- P, Q, R, S, T, U, V, W and X live on nine different floors of a building but not necessarily in the same order. The lower most floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered nine. Only two persons live below the floor on which V lives. Only one person lives between V and P. W lives on an odd numbered floor but not on floor no. 7. Only two persons live between W and Q. X does not live on the topmost floor. P does not live on the lowermost floor. S lives immediately below R but R does not sit on topmost floor. Neither R nor T live on floor no. 6. U lives immediately above P.

  7. How many persons live between the floors on which P and S live?
    1. Three
    2. More than three
    3. None
    4. Two
    5. One
    Answer: Option E.
    The following arrangement can be made with the help of given information:
    Floor No. Name 9 T 8 R 7 S 6 U 5 P 4 Q 3 V 2 X 1 W
     
    Only one person lives between the floors on which P and S live.
  8. Who lives on the floor immediately below V?
    1. U
    2. T
    3. S
    4. Q
    5. X
    Answer: Option E.
    The following arrangement can be made with the help of given information:
    Floor No. Name 9 T 8 R 7 S 6 U 5 P 4 Q 3 V 2 X 1 W
     
    X lives on the floor immediately below V.

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