InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A works 3 times as fast as B. If B can complete a work in 60 days, then in how many days can A and B together complete the same work ?A. 20B. 12C. 15D. 30 |
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Answer» Correct Answer - C As A work 3 times as fast as B, he takes `(1)/(3)`rd of the time taken by B. |
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| 2. |
A is thrice as fast as B. If B can do a piece of work in 60 days, the number of days they take to complete the work is …….. |
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Answer» Correct Answer - 15 days |
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| 3. |
X works 3 times as fast as Y and is able to complete a work in40 days less than the number of days taken by Y. Find the time in which they can complete the work together. |
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Answer» If Y does the work in 3 days, X does it in 1 day, i.e., the difference is 2 days. But the actual difference is 40 days. If difference is 2 days, X takes 1 day and Y takes 3 days. If difference is 40 days(i.e., 20 times), X takes 20 days and Y takes 60 days. `:.` Time taken together `=(20xx60)/(20+60)=15` days. |
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| 4. |
Two pipes P and Q can fill a cistern in 15 minutes and 20 minutes respectively. Both are opened together, but at the end of 5 minutes, the pipe P is turned off. How long will the pipe Q take to fill the cistern ? |
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Answer» Correct Answer - `8^(1//3)`min |
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| 5. |
P,Q and R started a piece of work. They worked on it for 5 days, which P left |
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Answer» (a) (p+q+r) worked for 5 days, (Q+R) worked for 5 days and R worked for 5 days to complete the work. (b) P worked for 5 days, Q worked for 10 days and R worked for 15 days to complete the work.(iii) Find the part of the work done by Q and R. (c ) Then find the part of the work done by P. (d) Compare them. When certain people work for the same number of days each, then the ratio of the total work done will be the same as the work done by each of them per day. Hence, if all the people involved work for the same number of days, then the earning can directly be distributed in the ratio of work done per day by each of them . The following example is useful to understand this statement. |
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| 6. |
Two taps A and B can fill a tank in 15 minutes and 20 minutes respectively.If both the taps are opened simultaneouly, then in how much time can the empty tank be filled ?A. `8(4)/(7)`hoursB. 8 minutesC. `8(4)/(7)` minutesD. 16 minutes |
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Answer» Correct Answer - C Find the part of the tank filled by A and B together in 1 minute. |
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| 7. |
A,B and C can do a work in 20,45 and 120 days respectively.They started the work. A left 10 days before and B left 5 days before the completion of work. In how many days is the total work completed ? |
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Answer» Correct Answer - 20 |
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| 8. |
An empty tank can be filled by two pipes individually in 30 minutes and 60 minutes respectively. There is also a pipe which can empty the full tank in 45 minutes.If all the three pipes are open,how much time does it take to fill the empty tank ?A. 36 minutesB. 18 minutesC. 30 minutesD. 24 minutes |
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Answer» Correct Answer - A Consider the filling of tank as a positive work and emptying the tank as negative work. |
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| 9. |
A tap can fill a tank in 48 minutes whereas anothertap can empty it in 2 hours. If both the taps are opened at 11:40 A.M, thenthe tank will be filled at`12 : 40 PdotMdot`b. `1: 00 PdotMdot`c. `1: 20 PdotMdot`d. `1: 30 PdotMdot `A. `12:40` p.m.B. `1:30` p.m.C. `1:00` p.m.D. `1:20` p.m. |
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Answer» Correct Answer - C Consider, the filling of tank as a positive work and emptying the tank as negative work. |
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| 10. |
A tank has two inlet pipes, A and B, which can fill the tank in 12 hours and 18 hours respectively, and an outlet C which can empty the tank in 9 hours. A,B and C are all opened at a time but the outlet C is blocked completely after 6 hours. Find the total time taken right from the start to fill the tank. |
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Answer» Correct Answer - 12 hours |
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| 11. |
Pipe A can fill a tank in 12 hours and pipe B can empty the tank in 18 hours. Both pipes are opened at 6 a.m. and after some time pipe B is closed and the tank is full at 8 p.m. At what time was the pipe B closed ?A. 10 a.m.B. 8 a.m.C. 9 a.m.D. 11 a.m. |
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Answer» Correct Answer - C (i) Tank was filled in 14 hours, i.e., pipe A worked for 14 hours. (ii) Tank is filled in 14 hours. (iii) Pipe A is opened for 14 hours and let pipe B is opened for x hours. (iv) Frame the equatin and solve for x. i.e.,`(14)/(12)-(x)/(18)=1` |
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| 12. |
One pipe can fill a tank in 40 minutes and an outlet pipe can empty the full tank in 24 minutes.If both the pipes are opened simultaneously, what time will it take for the full tank to be emptied?A. 30 minutesB. 60 minutesC. 15 minutesD. 45 minutes |
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Answer» Correct Answer - B Filling the tank is positive work and emptying the tank is negative work. |
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| 13. |
In a fort, there are 1500 soldiers and they have provisions for 90 days.If 600 soldiers leave the fort and the remaining soldiers increase their consumption rate by 50%, for how many days will the provisions last ?A. 80B. 90C. 100D. 120 |
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Answer» Correct Answer - C Let the consumption of each person per day =K kg. Let the required time be x. Quantity of food available in the fort `=(K)(1500)(90)` kg. `implies (K)(1500)(90)` `implies(K+(50)/(100)(K))(1500-600)(x)` `x=((2)(1500)(90))/((3)(900))=100`. |
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| 14. |
A and B can complete a piece of work in 12 days and 24 days respectivley. After A had worked for 6 days, B joined him and then they completed the work. How much should A receive as his share from the total amount of ₹ 180 paid for completing the work?A. ₹120B. ₹135C. ₹100D. ₹150 |
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Answer» Correct Answer - D Let A works for x days, then B works for (x-6) days. |
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| 15. |
A and B can complete a piece of work in 10 and 15 days respectively. B starts the work and is joined by A after 5 days. If they earn a total of ₹60, what are their individual shares ?A. ₹20,₹40B. ₹24,₹36C. ₹25,₹35D. ₹30,₹30 |
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Answer» Correct Answer - B (i) Find the work done by B in 5 days. (ii) Find the work done by B in 5 days. (iii) Remaining work is completed by both A and B together. (iv) Find the part of the work done by A and B and calculate their shares. |
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| 16. |
Tap A can fill a tank of 1000 litres capacity in 14 hours. It can fill a tank of ……… litres in 7 hours. |
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Answer» Correct Answer - 500 |
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| 17. |
If 6 boys can eat 6 apples 6 minutes then, 3 boys can eat 3 apples in …………. Minutes. |
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Answer» Correct Answer - 6 |
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| 18. |
A can-do 1/3rd of work in 12 days. Then A can do 3/4th of work in …………..days. |
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Answer» Correct Answer - 27 |
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| 19. |
4 men or 5 women can construct a wall in 82 days. How long will it take for 5 men and 4 women to do the same ? |
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Answer» Given 4m=5w, where m is the work done by one man in one day and w is the work done by one woman in one day. `implies 1m=5w//4` Now, `5m+4w=5((5w)/(4))+4w=(41w)/(4)` If 5w can do the work in 82 days, then `(41w)/(4)` can do in `5wxx82xx(4)/(41w)=40days`. |
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| 20. |
A and B can do 1/2 and 2/3rd parts of a work in a given time. The ratio of time taken by A and B to complete a work is ……………. |
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Answer» Correct Answer - `4:3` |
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| 21. |
In a unit time, the work done by 3 men and 5 women is equal to the work done by 2 men and 7 women. The work done by one man is equal to the work done by ……………… women. |
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Answer» Correct Answer - 2 |
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| 22. |
A can type 30 words in 1 minutes and B can type 20 words in 1 minute. Both A and B can type …………….. Words in 1 minute. |
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Answer» Correct Answer - 50 |
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| 23. |
Twelve men can make 24 articles in 6 days. How many articles can 3 men make in days? |
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Answer» Correct Answer - 3 |
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| 24. |
Y can complete a job half as fast as X and twice as fast as Z,X,Y and Z takes 8 days to complete it. In how many days can Y alone complete it?A. 21B. 28C. 35D. 42 |
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Answer» Correct Answer - B Let the time taken by Y to complete the work be y days. Let the times taken by X and Z to complete it be x days and z days respectively. `(1)/(y)=(1)/(2)((1)/(x))=2((1)/(z))` `(1)/(y)=(1)/(2x) implies(1)/(x)=(2)/(y)` `(1)/(y)=2(1)/(z)implies(1)/(z)=(1)/(2y)` `(1)/(x)+(1)/(y)+(1)/(z)=(1)/(8)` `(2)/(y)+(1)/(y)+(1)/(2y)=(1)/(8)` `(7)/(2y)=(1)/(8)` y=28 |
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| 25. |
If a man cando a piece of work in 8 hours and a women can do the same work in 12 hours, then find the time it takes for 2 men and 3 women to finish the same work. |
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Answer» Correct Answer - 2 hours |
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| 26. |
Two students A and B can finish solving some set of questions in 10 minutes and 15 minutes respectively. In what time will the task be finished if B had started solving 3 minutes after A ?A. 6 minutes 12 secondsB. 7 minutes 12 secondsC. 8 minutes 12 secondsD. 9 minutes 12 seconds |
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Answer» Correct Answer - B Find the work done by A in 3 minutes. |
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| 27. |
A can do a piece of work in 9 days and B can do the same in 12 days. In how days can the work be completed if A and B work together? |
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Answer» One day work of A and B`=(1)/(9)+(1)/(12)=(7)/(36)` So they can complete work in `(36)/(7),i.e.,5(1)/(7)`days. |
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| 28. |
A certain number of people can complete can complete a piece of work in 12 days working 5 hours a day. If thenumber of men is decreased by half, how many hours a day should they work, so that the work is to be completed in 15 days ?A. 10B. 9C. 8D. 6 |
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Answer» Correct Answer - C (i) Use variation method. (ii) Consider the number of men as x in first case. Therefore, the number of men in second case is x/2. Use `(M_(1)D_(1)H_(1))/(W_(1))=(M_(2)D_(2)H_(2))/(W_(2))` and find `H_(2)` |
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