Quantitative Aptitude: Time and Work Set 21

  1. 15 boys or 30 girls or 45 men can complete the work in 12 days. Find the number of days taken by 8 boys and 10 girls and 15 men to complete the work?

    12
    13
    10
    9
    8
    Option C
    15 boys= 30 girls

    1 boy = 2 girl

    15 boys = 45 men

    1 boy = 3 men

    8 boy + 10 girls + 15 men = 8 b + 5 b + 5 b = 18 boys

    boys ……. days

    15 …………… 12

    18 ………….. ?

    (15 * 12) = (18 * x)

    x = (15 * 12) / 18 = 10 days

     

  2. Kiran and Kishore do a certain work in 42 days and 30 days respectively.Kishore started the work alone and then after 6 days Kiran joined him till the completion of the work. How long did the work last?

    10
    20
    30
    40
    50
    Option B
    Work done by Kishore in 6 days = (1/30) * 6 = 1/5

    Remaining work = 1 – 1/5 = 4/5

    (Kiran + Kishore)’s 1 day work = 1/42 + 1/30

    = > (42 + 30) / (42 * 30)

    = > 2/35

    Together can complete the work in 35/2 days

    So 4/5 work will be done by both

    = > (4/5) * (35/2)

    = > 14 days

    Total time taken = 14 + 6 = 20 days

     

  3. P alone can do a piece of work in x days. Q alone can do the same work in 10 days more than P. R alone can do the same work in 10 days. If all of them working together and completed the work in 5 5/11 days, then find the value of ‘x’?

    20
    30
    40
    50
    60
    Option A
    Given,

    (1/x) + (1/(x + 10)) + 1/10 = 11/60

    (1/x) + (1/(x + 10)) = 11/60 – 1/10

    (2x + 10) / (x2 + 10x) = 1/12

    24x + 120 = x2 + 10x

    x2 – 14x – 120 = 0

    x = 20, -6 (Eliminate –ve value)

    x = 20 days

     

  4. A mother is 2 times faster than his daughter. If the daughter can complete a piece of work in 16 days, then how long will it take for both mother and daughter to complete the same piece of work?

    4 1/2
    3 1/3
    5 1/3
    2 1/5
    1 1/7
    Option C
    Efficiency ratio of mother and daughter = 2 : 1

    The day ratio of mother and daughter = 1 : 2 (x, 2x)

    2x = 16

    x = 8

    mother and dauhter’s one day work,

    = > (1/8) + (1/16)

    = > 3/16

    mother and daughter can complete a piece of work in,

    = > 16/3 = 5 1/3 days

     

  5. 46 female labours earned Rs. 172500 by working 25 days. How many male labours must work for 24 days to receive Rs. 230400 provided the daily wages of a man is twice that of a female labour?

    20
    22
    30
    32
    40
    Option D
    1 F’s 1 day wages = Total wages / (Number of days * total F)

    = > 172500 / (46 * 25) = 150

    1 M’s 1 day wages = 2 * 1 F’s 1 day wages = 2 * 150 = 300

    Total F = 230400 / (24 * 300) = 32 M

     

  6. 12 Male workers can complete a work in 15 days and 15 Female workers can complete the same work in 24 days. Then find 15 males and 20 Females can complete the work?

    7 1/5
    5 1/5
    3 1/5
    4 1/5
    10 1/5
    Option A
    Total work = M * days

    12 m * 15 = 15 f * 24

    1 m = 2 f
    15 m + 20 f = 15 m + 10 m = 25 m

    Males days

    12 15

    25 ?

    (12 * 15) = (25 * x)

    x = (12 * 15) / 25 = 36 / 5 = 7 1/5 days

     

  7. Lal is 20 % more efficient than Taj to complete the work. Both of them together complete the work in 5 5/11 days. Find the number of days taken by Lal alone to complete the work?

    10
    11
    12
    13
    14
    Option A
    Efficiency ratio = > 120: 100 = 6: 5

    Day ratio = > 5: 6 (5x, 6x)

    According to the question,

    (1/5x) + (1/6x) = (11/60)

    (6x + 5x) / (30×2) = (11/60)

    11x / 30×2 = (11/60)

    x = 2

    The number of days taken by Lal alone to complete the work = 10 days

     

  8. A garments wanted 40 women to complete a project in 15 days. 40 women started working, after 9 days they notices that only three-fifth of the work gets completed. Then how many extra women can be employed to complete the remaining work on time?

    0
    1
    2
    3
    4
    Option A
    women Days Work

    40 15 1

    40 9 3/5

    ? 6 2/5

    (40 * 9) / (3/5) = [(40 + x) * 6] / (2/5)

    40 = 40 + x

    x = 0

    There is no extra women needed to complete the work.

     

  9. A and B can complete the work alone in x days and (x + 10) days respectively. They work together to complete the work in 6 2/3 days. Find the efficiency ratio of A to that of B?

    2 : 5
    2 : 1
    3 : 1
    2 : 7
    4 : 1
    Option B
    A = x days, B = (x + 10) days

    Given,

    (1/x) + (1/(x + 10)) = 1/(6 2/3)

    [x + x + 10] / [x (x + 10)] = 3/20
    (2x + 10) / (x2 + 10x) = 3/20

    40x + 200 = 3×2 + 30x

    3×2 – 10x – 200 = 0

    x = 10, -6.66 (negative value will be eliminated)

    So, x = 10

    The efficiency ratio of A and B = 1/10 : 1/20 = 2 : 1

     

  10. 35 workers can complete a piece of work in 18 days. After 8 days from the start of the work, some worker left. If the remaining work was completed by the remaining workers in 14 days, then find the number of workers left after 8 days from the start of the work?

    10
    15
    20
    12
    11
    Option A
    Total work = workers*days

    Total units of work = 35*18 = 630 work

    Work done in 8 days = 35*8 = 280 work

    Remaining work = 630 – 280 = 350 work

    Let the number of workers left after 8 days be x,

    According to the question,

    350 / 14 = 35 – x

    25 = 35 – x

    x = 10

    After 8 days from the start of the work, 10 worker left the job.

     

Related posts

11 Thoughts to “Quantitative Aptitude: Time and Work Set 21”

  1. Wonderful website you have here but I was curious if you knew of any message boards that cover the same topics
    talked about here? I’d really love to be a part of community where I can get comments from other experienced people that share the same interest.

    If you have any suggestions, please let me know.
    Many thanks!

  2. Good day! I know this is kinda off topic but I was wondering which blog platform are you using for this
    site? I’m getting fed up of WordPress because I’ve
    had issues with hackers and I’m looking at alternatives for another platform.
    I would be fantastic if you could point me in the direction of a good platform.

  3. Hi there everyone, it’s my first visit at this website, and article is actually fruitful
    in support of me, keep up posting these types of posts.

  4. 227655 593652Youre the most effective, Its posts like this that keep me coming back and checking this site regularly, thanks for the information! 434934

  5. Great beat ! I would like to apprentice at the same time as you amend your website, how can i subscribe
    for a weblog site? The account aided me a acceptable deal.
    I had been tiny bit familiar of this your broadcast offered shiny clear idea

  6. Pretty section of content. I just stumbled upon your website and
    in accession capital to assert that I get in fact enjoyed account
    your blog posts. Any way I will be subscribing to your
    feeds and even I achievement you access consistently quickly.

  7. Link exchange is nothing else except it is just placing the other person’s website link on your page at proper place and other person will also do similar for you.

  8. If you would like to grow your experience just keep visiting this website and be updated with
    the newest gossip posted here.

  9. Oh my goodness! Impressive article dude! Many thanks, However I am going through difficulties with your RSS. I don’t know why I can’t subscribe to it. Is there anybody else having the same RSS issues? Anyone that knows the answer can you kindly respond? Thanks!!

  10. Hi there, just became aware of your blog through Google, and found that it’s really informative.
    I’m gonna watch out for brussels. I’ll be grateful if you continue this
    in future. Many people will be benefited from your writing.
    Cheers!

  11. Great info. Lucky me I came across your site by accident (stumbleupon). I have saved it for later!

Comments are closed.