Practice test

Time, work and efficiency - Test Set 1

Review 20 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

20 questions

Questions and explanations

Question 1
A and B can complete a work in 12 days and 8 days respectively. If A and B work together, then in how many days will the work be completed?
1. 4.8
2. 3.2
3. 6.4
4. 2.4
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Question 2
G and H can do a work in 30 days. If H alone can do it in 50 days, then G alone can do it in ____ days.
1. 75 days
2. 70 days
3. 60 days
4. 65 days
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Question 3
A boy can complete a work alone in 10 days, but with the help of his friend he can complete the work in 6 days. In how much time can his friend complete the work alone?
1. 4 day
2. 15 day
3. 5 day
4. 8 day
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Question 4
P and Q can do a piece of work in 20 days and 12 days respectively. P started the work alone and after 4 days. Q joined them till the completion of the work. How long did the work last?
1. 10 days
2. 20 days
3. 15 days
4. 6 days
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Question 5
Shyam and Sundar can do a piece of work in 16 days and 24 days respectively. Shyam started the work alone and after 10 days Sundar joined him and both worked together till the work was completed. What was the total time taken to complete the work?
1. $13 \frac{3}{5} day$
2. $12 \frac{3}{5} day$
3. $15 \frac{3}{5} day$
4. $10 \frac{3}{5} day$
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Question 6
P can complete a work in 14 days working 6 hours per day. Q can complete the same work in 10 days working 8 hours per day. If both P and Q work together working 7 hours a day, in how many days can they complete the work?
1. 8 days
2. 10 days
3. 12 days
4. 6 days
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Question 7
A working 5 hours a day can complete a piece of work in 8 days and B working 6 hours a day can complete the same work in 10 days. In how much time will they together complete the same work working 8 hours a day?
1. 6 days
2. 3 days
3. 4.5 days
4. 5 days
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Question 8
X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ____ days.
1. 30 days
2. $25 \frac{1}{2} days$
3. $26 \frac{2}{3} days$
4. $26 \frac{1}{2} days$
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Question 9
Paras can complete 40% of the work in 8 days while Deepti & Paras together can complete 10% of the work in a day. Find the time taken by Deepti alone to complete the work.
1. 20 days
2. 22 days
3. 21 days
4. 23 days
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Question 10
A can do 87.5% of the work in 35 days while B can do 65% of the same work in 23.4 days. If they work together, what fraction of the work will get done in 1 day?
1. $\frac{1}{19}$
2. $\frac{7}{120}$
3. $\frac{19}{360}$
4. $\frac{1}{20}$
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Question 11
A can do 75% of the work in 30 days while B can do 50% of the same work in 18 days. If they work together, what fraction of the work will be done in 1 day?
1. $\frac{1}{20}$
2. $\frac{1}{19}$
3. $\frac{19}{360}$
4. $\frac{7}{120}$
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Question 12
A, B and C can complete a work in 20, 24 and 30 days respectively. If they work together, how many days will they take to complete the work?
1. 8 days
2. 5 days
3. 6 days
4. 7 days
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Question 13
A can do a job alone in 66 days. B can do it alone in 55 days, while A, B and C working together can complete the job in 22 days. In how many days can C do the job alone?
1. 82.5 days
2. 85 days
3. 81.5 days
4. 84 days
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Question 14
If Ramu, Rohit and Shyam together can finish a piece of work in 8 days, Ramu alone can complete this work in 16 days and Rohit in 24 days, then Shyam alone can finish this work in how many days?
1. 32 days
2. 24 days
3. 16 days
4. 48 days
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Question 15
A and B together can do a piece of work in 30 days. Together with C they can complete the same work in 24 days. In how many days can C alone complete the same work?
1. 150 days
2. 120 days
3. 96 days
4. 90 days
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Question 16
P, Q and R together can do a work in 4 days. P and Q alone can do the same work in 8 and 12 days respectively. In how many days can R do the same work alone?
1. 18 days
2. 20 days
3. 22 days
4. 24 days
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Question 17
A can do a work in 15 days and B can do the same work in 20 days. How much time will they take together to do the same work?
1. $9 \frac{4}{7} day$
2. $8 \frac{4}{7} day$
3. $7 \frac{4}{7} day$
4. $10 \frac{4}{7} day$
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Question 18
A and B together can dig a pond in 12 days. If A alone can dig the pond in 24 days, find what part of the pond B can dig in 1 day?
1. $\frac{1}{4}$
2. $\frac{1}{36}$
3. $\frac{1}{24}$
4. $\frac{1}{12}$
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Question 19
A can finish a task in 16 days and B can finish the same task in one fourth of the time taken by A. Working together, what part of the same task can they finish in a day?
1. $\frac{1}{16}$
2. $\frac{9}{16}$
3. $\frac{5}{16}$
4. $\frac{1}{8}$
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Question 20
Madhu and Shiney together can complete a work in 20 days. Shiney and Rosie together can complete the same work in 12 days, and Rosie and Madhu together can complete the same work in 15 days. In how many days will all three of them together complete the work?
1. 15 days
2. 10 days
3. 12 days
4. 5 days
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Questions and explanations

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20