QBM050

Q1. Ajay and Vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. When time does Vijay require to do it alone? Q2. 10 people can paint 60 houses in 120 days, so 5 people can paint 30 houses in how many days? Q3. Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone? Q4. If 8 boys and 12 women can do a work in 25 days in how many days can the work be done by 6 boys and 11 women working together? Q5. Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi? (a)50% (b)200% (c)60% (d)100% Q6. Sashi can do a piece of work in 25 days and Rishi can do it 20 days. They work for 5 days and then Sashi goes away. In how many more days will Rishi finish the work? Q7. Mike and his dad are bricklayers. Mike can lay bricks for a fireplace and chimney in 5 days. With his father's help, he can build it in 2 days. How long would it take his father to build it alone? Q8. Ten large barrels are each filled with many golf balls which all look alike. However, the balls in one barrel weigh twice as much as the regular balls, which weight one ounce. With one weighing on a scale that gives absolute weight, how can you find the barrel with the counterfeit golf balls? Q9. Sanbhu can do 1/2 of the work in 8 days while Kalu can do 1/3 of the work in 6 days. How long will it take for both of them to finish the work? Q10. 20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days? (a)10 (b)12 (c)15 (d)20 Q11. A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed? (1)18 days (2)27 days (3)26.67 days (4)16 days Q12. B is twice as fast as A and C is three times as fast as A. if B alone can complete a job in 12 days, how long will A,B and C take to complete the same job together? a)3 days b)4 days c)6 days d) none of these Q13. If six men working 8 hours a day earn Rs 840 per week, then 9 men working 6 hours a day will earn per week. a)Rs 840 b)Rs 945 c)Rs 1620 d)Rs 1680 Q14. A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? Q15. A can do a work in 6days. B takes 12 days, C takes as long as A and B would take working together. How long will it take B and C to complete the work together? END

Q2. ANS: 5 people can paint

Q2. ANS: 5 people can paint 30 houses in 120 days. Q3. ANS: Tom takes 24 hours. Q4. ANS:15 days Q5. Correct Answer - (4) Q7. 3 1/3 days Q15. ANS: 3 days

1)Ajay and Vijay together

1)
Ajay and Vijay together takes 6 days to complete a work .Ajay can do the wok alone in 10 days ,so 1 day work of Ajay is 1/10.Let Vijay alone takes "x" days to complete the work.

So,6(1/10+1/x)=1

Solving will give the value of x i.e., days required by Vijay to do it alone = 15 days.

6)Let the total work is

6)
Let the total work is completed in (5+x) days.
Shashi can complete the work in 25 days,so 1 day work of shashi is 1/25.
Rishi can complete the work in 20 days so 1 day work of rishi is 1/20.
Shashi work foer five days with rishi then left.
So, 5/25+(5+x)/20=1
Solving will give the value of x=11 days.


10)

Initially, 20 men does 1/3rd of the work in 20 days.
Let "x" more men are added so now (20+x) men have to complete the rest of 2/3rd work in 25 days.
So,
20x20/(1/3)=25x(20+x)/(2/3)
Solving will give the value of x as 12.
 

13)

6 men working for 8 hours receives Rs.840.
So,9 men working for 6 hours will receive,
840x6x8/(6x8)
= Rs.945