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  • Question
  • 8 men can complete a work in 12 days, 4 women can complete it in 48 days and 10 children can complete the same work in 24 days. In how many days can 10 men, 4 women and 10 children complete the same work?


  • Options
  • A. 10 days
  • B. 5 days
  • C. 7 days
  • D. 6 days

  • Correct Answer
  • 6 days 

    Explanation

    1 man can finish the work in (8 x 12) = 96 days
    1 woman can finish the work in (4 x 48) = 192 days
    1 child can finish the work in (10 x 24) = 240 days
    1 man's 1 day's work = 1/96
    1 women's 1 day's work = 1/192
    1 child's 1 day's work = 1/240
    (10 men + 4 women + 10 children)'s 1 day's work = (10/96 + 4/192 + 10/240)
    = (5/48 + 1/48 + 1/24)
    = (5 + 1 + 2)/48)
    = 8/48 = 1/6
    Hence, they will finish the work in 6 days.


  • More questions

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      If log 10 (10x) = 2.7532, then log 10 (10000x) is?

    • Options
    • A. 4.7532
    • B. 5.7532
    • C. 3 x 2.7532
    • D. None of these
    • Discuss
    • 2. 
      We have an angle of 2 / 2 .How big it will look through a glass that magnifies things three times?

    • Options
    • A. 2 1° × 4 2
    • B. 2 1° × 3 2
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    • Discuss
    • 3. 
      A 200 m long train is running at a speed of 60 km/ hr. Find out the time it takes to pass a man standing at the platform

    • Options
    • A. 10 sec
    • B. 12 sec
    • C. 15 sec
    • D. 18 sec
    • Discuss
    • 4. 
      The rate of interest for the first 2 years is 5% for the next 3 years is 8% and beyond this. It is 10% per annum. If the simple interest for 8 years is Rs . 1280. What is the principal?

    • Options
    • A. Rs. 2500
    • B. Rs. 2000
    • C. Rs. 3200
    • D. Rs. 2440
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    • 5. 
      A pillar 14 cm in diameters is 5 m high. How much material was used to construct it?

    • Options
    • A. (77 x 102)cm3
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    • C. (77 x 105)cm3
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    • 6. 
      The price of a product is increased by 20%. If the original price is Rs. 300, what is the final price of the product?

    • Options
    • A. 350
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    • Discuss
    • 7. 
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    • Discuss
    • 8. 
      What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?

    • Options
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    • 9. 
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