X can do a piece of work in 24 days. When he had worked for ...

X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ?

Course Name: Quantitative Aptitude

1] 27 days
2] 36 days
3] 42 days
4] 18 days

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1 Discuss	16 men can finish a piece of work in 49 days. 14 men started working and 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce ? 1] 21 2] 28 3] 16 4] 14 Solution
10 Discuss	Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman? 1] 3 : 4 2] 4 : 3 3] 5 : 3 4] Data Inadequate Solution
2 Discuss	Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ? 1] 3 : 2 2] 2 : 3 3] 3 : 4 4] 4 : 3 Solution
3 Discuss	At a Tech Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belongs to IIT and another to NIT. Each student of IIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours a day till 80 days on the two same project. The ratio of students of IIT and that of NIT is 4:5 respectively. Students of which institution is slower in work and by how much? 1] IITian is 20% less efficient 2] NITian is 33.33% less efficien 3] NIT is 25% less efficient 4] IIT is 33.33% less efficient 5] Cannot be determined Solution
4 Discuss	A can do a certain job in 12 days and B is 60% more efficient than A. The B can do the same piece of work in ? 1] ${ \text{8 days}}$ 2] ${ \text{7}}\frac{1}{2}{ \text{ days}}$ 3] ${ \text{6}}\frac{1}{4}{ \text{ days}}$ 4] ${ \text{6 days}}$ Solution
5 Discuss	A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time in hours that B needs to do the work alone, is ? 1] 18 hours 2] 24 hours 3] 30 hours 4] 12 hours Solution
6 Discuss	A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ? 1] ${ \text{3}}\frac{5}{{12}}$ 2] ${ \text{3}}\frac{9}{{13}}$ 3] ${ \text{7}}\frac{5}{{12}}$ 4] ${ \text{7}}\frac{5}{{13}}$ Solution
7 Discuss	A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work? 1] 5 2] 5 1/2 3] 6 4] 8 Solution
8 Discuss	If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in ? 1] 35 days 2] 50 days 3] 45 days 4] 40 days Solution
9 Discuss	4 mat-weavers can weave 4 mats in 4 days. At the same rate how many mats would be woven by 8 mat-weavers in 8 days ? 1] 4 2] 8 3] 12 4] 16 Solution
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