Time and Work Data Sufficiency 2

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    - Albert Einstein

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    Aptitude :: Time and Work

    @ : Home > Aptitude > Time and Work > Data Sufficiency 2

    Overview

    Important Formulas

    Exercise

    General Questions

    Data Sufficiency 1

    Data Sufficiency 2

    Data Sufficiency 3

    "Life is like riding a bicycle. To keep your balance you

    must keep moving."

    Directions to Solve

    Each of the questions given below consists of a question followed by three statements.

    You have to study the question and the statements and decide which of the statement(s)

    is/are necessary to answer the question.

    1. In how many days can 10 women finish a work?

    I. 10 men can complete the work in 6 days.II.

    10 men and 10 women together can complete the work in 33

    days7

    III. If 10 men work for 3 days and thereafter 10 women replace them, the remaining

    work in completed in 4 days.

    A. Any two of the three

    B. I and II only

    C. II and III only

    D. I and III only

    E. None of theseAnswer & Explanation

    Answer: Option A

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    Explanation:

    I. (10 x 6) men can complete the work in 1 day.

    1 man's 1 day's work =1

    60

    II. 10 x24

    men + 10 x24

    women can complete the work in 1 day.7 7

    240

    men's 1 day work +240

    women's 1 day work = 1.7 7

    240

    x1

    +240

    women's 1 day's work = 1.7 60 7

    240

    women's 1 day's work = 1 -4

    =3

    7 7 7

    10 women's 1 day's work =3x

    7x 10 =

    1

    7 240 8

    So, 10 women can finish the work in 8 days.

    III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1

    (10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1

    30 men's 1 day's work + 40 women's 1 day's work = 1

    Thus, I and III will give us the answer.

    And, II and III will give us the answer.

    Correct answer is (A).

    View AnswerWorkspaceReportDiscuss in Forum

    2. How many workers are required for completing the construction work in 10 days?

    I. 20% of the work can be completed by 8 workers in 8 days.

    II. 20 workers can complete the work in 16 days.

    III. One-eighth of the work can be completed by 8 workers in 5 days.

    A. I only

    B. II and III onlyC. III only

    D. I and III only

    E. Any one of the three

    Answer & Explanation

    Answer: Option E

    Explanation:

    I.20

    work can be completed by (8 x 8) workers in 1 day.100

    Whole work can be completed by (8 x 8 x 5) workers in 1 day.

    =8 x 8 x 5

    workers in 10 days = 32 workers in 10 days.10

    II. (20 x 16) workers can finish it in 1 day.

    (20 x 16)workers can finish it in 10 days.

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    10

    32 workers can finish it in 10 days.

    III.1work can be completed by (8 x 5) workers in 1 day.

    8

    Whole work can be completed by (8 x 5 x 8) workers in 1 day.

    =8 x 5 x 8

    workers in 10 days = 32 workers in 10 days.

    10

    Any one of the three gives the answer.

    Correct answer is (E).

    View AnswerWorkspaceReportDiscuss in Forum

    Read more:

    Time and Work - Important FormulasTime and Work - Data Sufficiency 3

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