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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 and B the completed work and divided the earings in the ratio of `2:3`. What is the ratio of time taken to complete the work by A and B, respectively? |
| Answer» Correct Answer - `3:2` | |
| 2. |
Tap A is 50% more efficient than tap B. If tap A can fill a tank in 10 hrs, then tap B can fill the tank in …………. |
| Answer» Correct Answer - 15 hours | |
| 3. |
A and B can do a work in 45 days, B and C in 36 days and A and C in 60 days. In how many days can A,B and C individually do the work? |
| Answer» Correct Answer - 180 days, 60 days, 90 days | |
| 4. |
Vinay and Varma can do a work in 30 days and 60 days respectively. If they work on alternate days beginning with Vinay, in how many days will the work be completed?A. 45B. 35C. 40D. 50 |
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Answer» Correct Answer - C Find the part of the work done by Vinay and Varma in the first two days. |
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| 5. |
Two men are as efficient as 3 women who are as efficient 4 machines . The under of men, women, and machines aer in the ratio of `3:4:5` and they have completed a job. They are paid a total of Rs. 4900 for it. Find the total sharte of women. (in RS.)A. 1200B. 1800C. 2400D. 1600 |
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Answer» Correct Answer - D (i) Let the efficiencies of a man a woman and a machine be x,y and z. `rArr2x=3y=4z=k` say (iii) Find x,y,z in terms of k (iv) The ratio of shares of man, women and machines `=3((k)/(2)):4((k)/(3)):5((k)/(4))` |
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| 6. |
Two taps A and B can fill a tank in 10 minutes and 15 minutes respectively. In what time will the tank be full if tap B was opened 3 minutes after tap A was opened ?A. `4.2`B. `6.2`C. `7.2`D. `8.2` |
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Answer» Correct Answer - C Remaining work after 3 minutes is `(7)/(10)` |
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| 7. |
Ram and Shyam can complete a job in 20 days. If they work together. If they complete it by working on elternate days, in how many days will it be completed? |
| Answer» Correct Answer - 40 | |
| 8. |
300 men can construct a200m long wall in 12 days working 8 hours a day. In how many days can 120 men construct 180 m long wall working 9 hours per day? |
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Answer» \(\frac{M_1D_1H_1}{W_1}=\frac{M_2D_2H_2}{W_2}\) M1 = 300, D1 = 12, H1 = 8, W1 = 200 M2 = 120, D2 = ? H2 = 9, W2 = 180 \(\frac{300\times12\times8}{200}=\frac{120\times D\times7}{180}\) D = 24 days |
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| 9. |
Pipe A can fill a tank in 12 minutes,pipe B in 18 minutes and pipe C can empty the full tank in 36 minutes. If all of them are opend simultaneously, find the time taken to fill the empty tank. |
| Answer» The work done by the 3 pipe together in 1 minutes and `=(1)/(12)+(1)/(18)-(1)/(36)=(4)/(36)=(1)/(9)` So, the empty tank will be filled in 9 minutes | |
| 10. |
A is twice as efficient as B and they together can complete a piece of work in 24 days. Find the number of days, that A alone takes to compelete the work.A. 36B. 18C. 48D. 30 |
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Answer» Correct Answer - A Assume A can complete the work in x days. |
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| 11. |
Rishikesh and Mukesh can individually complete a piece of work in 18 days and 24 days respectively. On which day will the work be completed, If they work on alternate days starting with Rishikesh ?A. 11thB. 20thC. 21stD. 18th |
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Answer» Correct Answer - C Work done in 1 day +1 day is `(1)/(18)+(1)/(24)` |
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| 12. |
A piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a days ? |
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Answer» Using the formula,`(M_(1)D_(1)H_(1))/(W_(1))=(M_(2)D_(2)H_(2))/(W_(2))` Let `W_(1)=x` and `W_(2)=3x` `M_(1)`=16,`H_(1)`=12,`D_(1)`=8 `H_(2)`=8,`D_(2)`=24 `:. (16xx8xx12)/(x)=(M_(2)xx24xx8)/(3x)` `implies M_(2)=24` men. |
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| 13. |
Fifteen men can complete a piece of work in 10 days, working 8 hours per day. How many persons are required to complete double the work in 25 days, working 6 hours per day ? |
| Answer» Correct Answer - 16 | |
| 14. |
X can knit 60 baskets in 8 day with the help of Y, who is having the same capacity as X,X can knit …………………. Number of baskets in 4 days. |
| Answer» Correct Answer - 15 | |
| 15. |
Working together, X and Y can do a piece of work in 12 days, Y and Z can do it in 15 days where as X and Z can do it in 20 days. Who is the most effcient? |
| Answer» Correct Answer - y | |
| 16. |
In a unit time, the work done by 3 men is equal to the work done by 6 women. The ratio of work done by a man to that of a woman is ……………… |
| Answer» Correct Answer - `2:1` | |
| 17. |
Certain men can do a piece of work in 22 days. If the number of men decreses by 55, then they will take 11 days more to comlete the same work. Find the number of men present intially.A. 165B. 155C. 185D. 175 |
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Answer» Correct Answer - A `M_(1)D_(1)=M_(1)D_(2)` |
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| 18. |
A, B and C do a piece of work in, 8,16 and 24 days, respectively. They work together and earn Rs. 528. What is the share of B?A. Rs. 144B. Rs. 152C. Rs. 176D. Rs. 168 |
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Answer» Correct Answer - A Money is distributed accroding to their efficiencies. |
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| 19. |
A,B andC can complete a piece of work in 6,12 and 18 days respectively. A and B started the work and C joined them after one day. B left just 2 days before the completion of the whole work.In how many days was the work completed?A. 5B. 4C. 3D. 2 |
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Answer» Correct Answer - B (i) Let A work for x days, B work for (x-2) days and C work for (x-1) days. (ii) A worked for x days, B worked for (x-2) days and C worked for (x-1) days to complete the work. (iii) Frame the equation and solve for x. |
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| 20. |
A and B can do a piece of work in 12 days, B and C in 15 days and C and A in 20 days. In how many days can they do it, all working together? |
| Answer» Correct Answer - 10 | |
| 21. |
Pipe A can fill a tank in 20 minutes and pipe B can fill the tank in 30 minutes. Both the pipes can fill at the rate of 8 liters per second. What is the capcity of the tank (in litress) ?A. 5670B. 6570C. 6750D. 5760 |
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Answer» Correct Answer - D Find the part of the tank filled in one minute by a and B together and proceeds |
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| 22. |
A can do a piece of work in 18 days, B in36 days and C in 54 days. A starts the work and is joined by B after 1 day, C joins them after 4 more days. How many more days will be required to complete the work?A. 11B. 9C. 8D. 6 |
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Answer» Correct Answer - D Let A work for x days , B for (x-1) days and C for (x-5) days. |
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| 23. |
A boy and his mother together can do a piece of work in 24 days while the day, working with his father, can complete it in 18 days. If the mother and father together take 36 days to complete the same work, then find the time in which they can complete the work if all the three work together. Also find the time they would take to complete the job, if they work individually. |
| Answer» Correct Answer - 16 days,`(144)/(5)` days, 144 days, 48 days | |
| 24. |
A can do a piece of work in 10 days and B can do it in 15 days. After they have worked together for 4 days, A does away and B completes the remaining work. In how many days B complete the remaining work ?A. 10B. 5C. 15D. 20 |
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Answer» Correct Answer - B Find the work done by (A+B) in four days. |
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| 25. |
Pipe A can fill a tank in 40 minutes . Pies B can empty the tank in 30 minutes . If both the pipes are opened simultaneously when tank is half full, then will be tank become full or empty? |
| Answer» Correct Answer - empty | |
| 26. |
P,Q and R can do a piece of work in 18 days, 36 days and 54 day respectively. They start the work together but Q and R leave 1 day and 5 days respectively, before the completion of work. In how many days has the work been completed ?A. 10B. 11C. `10(7)/(11)`D. `10(9)/(11)` |
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Answer» Correct Answer - B (i) Let P work for x days, then Q work for (x-1) days and R work for (x-5) days. (ii) let the number of days P worked be x.Therefore Q worked for (x-1) days and R worked for (x-5) days. (iii) `(x)/(18)+(x-1)/(36)+(x-5)/(54)=1`.Solve for x. |
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| 27. |
Murali and Sai can complete a job in 20 days and 30 days respectively. Two days after they start the job, Murali leaves and Sai completes the remining job. In how many days can Sai complete the remaining job ?A. 20B. 25C. 15D. 18 |
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Answer» Correct Answer - B Part of the job completed by Murali and Sai in 2 days `=2((1)/(20)+(1)/(30))=(1)/(6)` Remaining part`=(5)/(6)` Time taken by Sai to complete the remaining part `=(5)/(6)(30)=25` days. |
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| 28. |
Pipe A and pipe B can fill a tank in 24 minutes and 28 minutes , respectively. IF both the pipes are opened simultaneously, then after how many minues. Should pipe B be closed such that the tank becomes full in 18 minuts ? |
| Answer» Correct Answer - 7 | |
| 29. |
A can do a piece of work in 20 days while B can do it in 30 days. Both of them start the work together and work for some time, then B leaves. If A completes the remaining work in 10 days, then find the number of days for which they worked together. |
| Answer» Correct Answer - 6 | |
| 30. |
Satish can do 1/5th of a work in 5 days while he and Ramesh together can do 9/10th of the same work in 10 days. They start the work together and work for 5 days after which Satish leaves. Find the number of days in which Ramesh alone can finish the remaining work. |
| Answer» Correct Answer - 11 | |
| 31. |
Two pipes A and B can fill a tank in 12 minutes and 18 minutes respectively. If both the pipes are opened simultaneously, how long will they take to fill the tank ? |
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Answer» The part of the tank filled by A in 1 minute `=(1)/(12)` The part of the tank filled by B in 1 minute `=(1)/(18)` The part of the tank filled by both the pipes in 1 minute `=(1)/(12)+(1)/(18)=(5)/(36)` `:.` The tank can be fillled in `(36)/(5)=7(1)/(5)` minutes |
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| 32. |
X works four times as fast as Y.Y takes 60 days more than X to complete a job. Find the time in which X and Y working together can complete the job ( in days)A. 20B. 10C. 16D. 12 |
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Answer» Correct Answer - C Let the time in which X and Y can complete the job be x days days y repectively. `(1)/(x)=4((1)/(y))" "(1)` `y=x+60 " "(2)` From Eq. (1), we get `y=4x` Substituting this value in Eq. (2) ,we get `4x=x=60` `x=20` `y=80` The time in which X and Y can complete the job (in days) `=(xy)/(x+y)=16` |
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| 33. |
4 women and 3 men can do a piece of work in 2 days while 6 women and 2 men can also finish it in 2 days. Now find the time taken by one woman to complete the same job working alone. Also, find the time one man takes to complete the same job working alone. |
| Answer» Correct Answer - 10 days,20 days | |
| 34. |
A and B together can do a piece of work in 20 days, while B and C together can do the same work in 15 days. If A ,B and C together can finish this work in 10 days, then find the number of days in which B alone can finish the work. |
| Answer» Correct Answer - 60 | |
| 35. |
Pipes X,Y and Z are fitted to a tank. Each of Y and Z can fill the tank in 6 hours. The efficiency of X, which is an emptying pipe, is half Y. if X is fitted at one fourth of the heighest from the base and one fourth of the heigth of tank from the base and all the pipes ar opened simultaneously, the tank be filled in __________ hours.A. 4B. `3(1)/(4)`C. `3(1)/(2)`D. 3 |
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Answer» Correct Answer - B (i) Time taken by X to fill the tank is 12 hours . If Y takes x hours to fill the tank, then X takes 2x hours to empty the full tank. (ii) First = `(1)/(4)` of the will be filled by Y and Z in 3 hous (iii) Remaining `((3)/(4))` of the tank will be filled by X,y and Z where X will be emptying |
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| 36. |
Two pipes X and Y can fill a tank in 6 hours and 8 hours respectively while another pipe Z can empty the tank in 4.8 hours. If all the three pipes are opened at the same time, then the time in which the tank can be filled. |
| Answer» Correct Answer - 12 hours | |
| 37. |
A pipe can fill a tank in 4 hours and another pipe can empty the same tank in 6 hours. When both the pipes are opened simultaneously, the part of tank filled in 1 hour is ………….. |
| Answer» Correct Answer - `(1)/(12)` | |
| 38. |
Pipes X,Y and Z are fitted to a pank. X and Y can fill a tank in 18 hours and 24 hours respectively. Z is an emptying pipe which can empty the tank in 9 hours. All the pipes are opened simultaneously when the tank is half full. The tank would beA. filled in 72 hoursB. empitied in 72 hoursC. filled in 36 hours.D. emptied in 36 hours |
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Answer» Correct Answer - D Part of the tank which X and Y can fill in one hour =`(1)/(18)+(1)/(24)=(7)/(72)` Part of the tank that Z can empty in one hour `=(1)/(9)=(8)/(72)` Emptying rate of `Zgt` filling rate of X and Y. `:.` The tank will be emptied Part of it emptied eac hour `=(8)/(72)-(7)/(72)=(1)/(72)` Time taken to empty `(1)/(2)` of the tank `=((1)/(2))/((1)/(72))` hours `=36` hours |
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| 39. |
A job can be completed by 2 men, 3 women and 4 children in 15 days. The same work, can be completed by 9 women and 6 children in 10 days. If 1 man and 1 woman can complete it in 48 days . Find the time in which one man can complete it. ( in days)A. 60B. 75C. 80D. 90 |
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Answer» Correct Answer - C Let the work which can be completed each day by each man, each women and each child be m units, w units and t units respectively. Work which two, men three women and four childrn can complete `=(2m+3w+4c)` units `:. Job=(2m+3w+4c)(15)` units `=(9w-6c)(10)` unis `=(m+w)(48)` units `(2m+3w+4c)(15)=(9w+6c)(10)` `30m+45w+60c=90w+60c` `30m=45w` `m=(3)/(2)w,` `:. Job=((3)/(2)w+w)(48)` units `120w` units Time in which a man can complete it `=(120w)/((3)/(2)w)"days"=80 "days"` |
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| 40. |
A certain number of men completed a job in 10 days. If there 5 more men, it could have been completd in 8 days. How many men will be required to complete it ? |
| Answer» Correct Answer - 40 | |
| 41. |
Pipe A in fill a tank in 15 horurs Pipe A and Pipe B together can fill it in 10 hours Pipe B can fill 8 liters per minute. Find the capicity of the tank |
| Answer» Correct Answer - 14400 litres | |
| 42. |
Work done by (x+4) mean in (x+5) days is equal to the work done by (x-5) men in (x+20) days. What is the value of x? |
| Answer» Correct Answer - 20 | |
| 43. |
A is twice as good workman as B.A takes 6 days the complete a work. In what time can B complete the work? |
| Answer» Correct Answer - 12 days | |
| 44. |
A man can load one box in 9 minutes. A truck can contain 8 boxes. If 16 men load for one and a half hour, how many trucks will be loaded? |
| Answer» Correct Answer - 7 trucks | |
| 45. |
15 men and 25 men women can dig an area of `880 m^(2)` in 8 days. In how many days can 20 men adn 12 women dig an area of 1040 `m^(2)` , if each man can dig twice the area of the each women can dig in the same amount of time?A. 6 daysB. 8 daysC. 10 daysD. 2 days |
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Answer» Correct Answer - C `((15M+25W)8)/(880)=((20M+12W)d)/(1040)` (ii) Find d using 1 M=2W |
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| 46. |
In a group, there were M men. They sarted working on a job of 330 units. Each man could do 1 units in 1 day. After each day of wark, a man of the sam efficiency as each man in the group in he group. The job was completed at the end of 11 days. Find M |
| Answer» Correct Answer - 25 | |
| 47. |
A,B and C can do a work in 20,25 and 30, respectively. They together started the work, but B adn A left the work 7 days and 4 days, respectively before completion of the work. How many days did C work for? |
| Answer» Correct Answer - 12 | |
| 48. |
Prakash, Rohit and Sameer cam complete a job in 1 days, 20 days, adn 10 days, respectively. They sarted the job but Prakash was unwell on the first day, he could not work at his full capacity and Prakash left after a day. The other two completed the job. Rohit was pair Rs. 17,000 out of the total of Rs. 60,000 paid to them. At what percentage of his full capicity, did Prakash work on the first day ? |
| Answer» Correct Answer - `15%` | |
| 49. |
Prakash, Ramesh and Suresh started a job. After 2 days, Prakash left. After another 2 days, Ramesh left. In another 2 days. Suresh completed the reaminin part of the job . If Prakash can complete the same work in more than 6 days, and Ramesh can complete it in more than 12 days, who got the highest share of the wages? |
| Answer» Correct Answer - Suresh | |
| 50. |
A and B complete a piece of work 12 days B and C can complete in 24,days. A and C can complete it in 16 days. In how many days can B alone complete it?A. 16B. 32C. 12D. 20 |
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Answer» Correct Answer - B Find the work done by A+B+C in one day and proceed. |
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