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  • Question
  • A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. Find the number of days in which A alone can do the same job?


  • Options
  • A. 20 days
  • B. 30 days
  • C. 45 days
  • D. 60 days

  • Correct Answer
  • 30 days 

    Explanation

    Work done by A and B in one day = 1/12
    Work done by B and C in one day = 1/15
    Work done by C and A is one day = 1/20

    On adding all these,
    2(A + B + C)'s work of one day = 1/12 + 1/15 +1/20 = 1/5
    ? (A + B + C)'s one day work = 1/10
    ? A' s one day work = (A + B + C)'s one day work - (B + C )'s one day work
    ? A's one day work 1/10 - 1/15 = 1/30
    Hence, A can do this work in 30 days.


  • More questions

    • 1. 
      The last day of century cannot be either
      I. Tuesday
      II. Thursday
      III. Saturday
      IV. Sunday

    • Options
    • A. I and II
    • B. I and IV
    • C. I, II and III
    • D. I,III and IV
    • Discuss
    • 2. 
      In a ?ABC, if 2?A = 3?B = 6?C, Then ?A is equal to:

    • Options
    • A. 60°
    • B. 30°
    • C. 90°
    • D. 120°
    • Discuss
    • 3. 
      How many times in a day (24 Hrs), are the hands of a clock in straight line but opposite in direction?

    • Options
    • A. 20
    • B. 22
    • C. 24
    • D. 48
    • Discuss
    • 4. 
      Which of the following two months in a particular year will have same calendar.

    • Options
    • A. January and August
    • B. January and October
    • C. March and November
    • D. None of these
    • Discuss
    • 5. 
      In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

    • Options
    • A. 13.2 cm
    • B. 19.8 cm
    • C. 21.6 cm
    • D. 26.4 cm
    • Discuss
    • 6. 
      If in a particular year 'X' there are 53 Sundays then how many Sundays will be there in a period of four years X to X + 3 year.

    • Options
    • A. 208
    • B. 209
    • C. 208 or 209
    • D. None of these
    • Discuss
    • 7. 
      In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?

    • Options
    • A. 12
    • B. 10
    • C. 8
    • D. 6
    • Discuss
    • 8. From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

    • Options
    • A. 75 litres
    • B. 100 litres
    • C. 150 litres
    • D. 120 litres
    • Discuss
    • 9. If a - b = 3 and a2 + b2 = 29, find the value of ab.

    • Options
    • A. 10
    • B. 12
    • C. 15
    • D. 18
    • Discuss
    • 10. Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

    • Options
    • A. 1:9
    • B. 9:1
    • C. 3:7
    • D. 7:3
    • Discuss


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