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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.
| 51. |
The efficiency of A, B and C is the same. They started working on a certain job. After 5 days a leaves, after 5 moere days B leaves and C completes the remaining work in 5 more days. Find the time taken by eahc of them alone to complete the job. (in days)?A. 20B. 30C. 40D. 45 |
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Answer» Correct Answer - B Let us assume that each of A, B and C alone can do in x-axis 15 days A works for 5 days, B works for 10 days and C works 15 days. `:. (5)/(x)+(10)/(x)+(15)/(x)=1` `(30)/(x)=1rArr=30` |
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| 52. |
18 men and 36 women can level an area of 810 sq. in 6 days. The ratio of the areas that each man and each woman can level in the same amount of time is `3:1`. Find the number of dayss is which 22 men adn 14 women can level an area of 120 sq. m.A. 8B. 12C. 9D. 10 |
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Answer» Correct Answer - D Let the areas that each man and each woman can level (in sq. m.) b m/day and q/day respectively. Area that 18 men and 36 women can level each day `=(18m+36w)` sq.m. `:. 6(18m+36w)=810` `18m+36w=135` Given : `(m)/(w)=(3)/(1), i.e.,m=3w` `:. 18(3w)+36w=135` `90w-135` `w=(3)/(2)` `:. m=(9)/(2)` Let the required number of days be d `d(22m+14w)=1200` `d(22((9)/(2))+14((3)/(2)))=1200` `rArr120 d=122 rArrd=10` |
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| 53. |
16 men can finish a piece of work in 49 days. 14men started working and in 8 days they could finish certain amount of work.If it is required to finish the remaining work in 24 days. How many more menshould be added to the existing workforce?`21`b. `28`c. `16`d. `14` |
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Answer» one mans one day work =` 1/(16) xx 1/(49)` .Now 14 men started working for 8 days,amount of work done=` 1/(16) xx 1/(49) xx 14 xx 8=1/7` amount of work left=`6/7` 1 man will do amount of work in 24 days=` 1/(16) xx 1/(49) xx 24` Number of men required=`6/7 -: (1/(16) xx 1/(49) xx 24)=28 men. ` |
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| 54. |
Kiran and Pavanc an complete a job in 40 dasy and 50 daysm resepectively. They worked on alternative days to complete it . Find the minimum possible time in which they could completed in (in days )A. `44(1)/(5)`B. `44(1)/(2)`C. `44(3)/(4)`D. `44(4)/(5)` |
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Answer» Correct Answer - A One of Kiran and Pavan would work on the first day and the other would on the second day. Inrrespective of who works on the first day, parof the job completed in the first two days `=(1)/(40)+(1)/(50)=(9)/(200)` Part of the job completed in the first 44 days `=(44)/(2)((9)/(200))=(198)/(200)=(99)/(100)` Remaining part `=(1)/(100)` This will be completed in the minimum possible time if the person with a higher efficiency between the two completed. `:.` Total time taken will be minimum if Kiran completed Minimum possible total time =44 days`+((1)/(100))/((1)/(40))="days"=44(2)/(5)"days"` |
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| 55. |
X and Y can do a piece of work in 4 days and 6 days resepectively. If Y works on the first day and they work on alternate days, in how many days will twice the amount of work be complete?A. `9(2)/(3)`B. `10(2)/(3)`C. `9(1)/(5)`D. `9(1)/(2)` |
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Answer» Correct Answer - A Find the work done by X and Y in a period of two days. (i) The amount of work done by P and Q in one day in 40% of `(1)/(7) and 90% (1)/(9)` (ii) The amount of work done by P and Q in one of is 70% of `(1)/(7)` and 90% of `(1)/(9)` respectively. (iii) Now find the part of work doneby P,Q adn R in one day and proceeds. |
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| 56. |
A and B can complete a piece of work in 4 days and 8 days, respctively. They work on alternate days and A starts the work. In how work in may days will the work be completedA. 3B. 4C. 5D. 6 |
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Answer» Correct Answer - C Find the work done by A and B in a period of 2 days, and proceed. |
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| 57. |
A, B and C can complete a piece of work in 10 days, 20 days and 25 days, respectively. If they tak 40 days to complete a piece of work, then in how many days can C alone complete the work ?A. 65 daysB. 76 daysC. 95 daysD. 190 days |
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Answer» Correct Answer - D (i) The ratio of capacities of A,B and C is `10:5:4`. (ii) Find the time taken by A,B and C together to complete the work (say d) (iii) When they are taking d days, C alone takes 25 days. (iv) Find the how many C alone takes if they complete the work in 40 days. |
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| 58. |
Two taps P and Q can fill a tank in 12 hours and 18 hours, respectively. Both taps were opened at `7:00` am and after some time, Q was closed. It was found that the tank was full at `3:00` At what time was Q shut ?A. `10:00` amB. `12:00` noonC. `1:00`pmD. `2:00` pm |
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Answer» Correct Answer - C (i) Tank was filled in 8 hours. P was opened all the time (ii) Tap P is opened for 8 hours. Let the tap Q be opened for x housr (iii)`(8)/(12)+(x)/(18)=1` (iv) |
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| 59. |
Anand completed one-fifth of a piece of work in 4 days. He was then assisted by Bhargav and they completed the remining work in 8 days. Bhargav can complete the work in __________ daysA. 12B. 16C. 20D. 24 |
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Answer» Correct Answer - C (i) Find the capicity of Anand and preceed (ii) Anand can complete the work in `(5xx4)` days. (iii) Remaining work is four-fifth which is to be completed by both and Bhargav, |
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| 60. |
P works 25% more efficinetly than Q and Q works 50% more efficiently than R. To complete a certain project. P alone takes 50 days less than Q. if in this project. P alone works for 60 dasy and then Q alone works for 125 days, then in how many days car R alone can complete the remaining work?A. 50B. 75C. 100D. 150 |
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Answer» Correct Answer - B (i) Let th amount of work done by R in a day be x units (ii) Let the efficine or R be 100 `:.` Efficiency of Q =150 and Efficinency of P=187.5 (iii) Now find the ratio of the effciencies of P,Q and R (iv) Then the find the rato of time taken by P,Q to complete the work |
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| 61. |
A and B can do a work in 12 days and 17 days respectively and with the help of C they complete the work in 5 days and earn ₹ 238. Find the share of B. |
| Answer» Correct Answer - ₹ 70 | |
| 62. |
X persons can complete a work in Y days. Then, 3X persons can complete the same work in ……….. Days and `(x)/(3)` persons can complete the same work in …………….. Days. |
| Answer» Correct Answer - `(Y)/(3)`,3Y | |
| 63. |
By working 8 hours a day. A can complete a work in 10 day. If the reduces the work hours by 3 hours per day, them he can complete the same work in ……………….. Days. |
| Answer» Correct Answer - 16 | |
| 64. |
Pipe A can fill a tank in 4 hours, then time taken by it to fill 3/4th part of the tank is …………… |
| Answer» Correct Answer - 3 hours | |
| 65. |
A motor pumps water from a well into a tank at the rate of 3000 c.c./sec while another outlet pumps water out of the tank at the rate of 1800 c.c./sec. If the capacity of the tank is `72xx10^(6)`c.c., then find the time required for the tank to get filled if both the motor and outlet are in operation (in minutes). |
| Answer» Correct Answer - 1000 min | |
| 66. |
If X works 3 tims as fast as Y and is able to complete, a work in 40 days less than the number of days taken by Y, then find the time in which they cn complete the work working together. |
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Answer» If Y does the work in 3 days, X does it in 1 day and Y takes 3 days. If different is 40 days. But the actual difference is 40 days If difference is 3 days, X takes 1 day and Y takes 3 days. If difference is 40 dayas (i.e., 20 times), X takes 20 days and Y 60 days. `:.` Take taken together =`(20xx60)/(20+60)= 15 days |
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| 67. |
12 men of 15 women can do a work in 40 days. 8 men and 10 women can do the work in how many days? |
| Answer» Correct Answer - 30 | |
| 68. |
Pipe A can fill a tank in 2 hours at the rate of the 6 litres per minute. What is the capacity of the tank? |
| Answer» Correct Answer - 720 litres | |
| 69. |
Certain sum is sufficient to pay wage to A for 15 days or to B for 30 days. For how many days is the sum sufficient to pay both A and B? |
| Answer» Correct Answer - 10 | |
| 70. |
12 men and 15 women can do a work in 6 days, and 6 men and 12 women can do it in 10 days, in how many days can 8 men and 10 women do the same work? |
| Answer» Correct Answer - 9 | |
| 71. |
If A and B cadn do a work in x and y days, respectively, then time taken by A and B together to complete the work is `(x+y)/2`` (True/False) |
| Answer» Correct Answer - False | |
| 72. |
P and Q can do piece of work in 10 days in 10 days and 35 days. Respectively. If they work on alternate days begnining wit Q, in how may will the work be completed?A. `15(5)/(7)`B. `15(5)/(7)`C. `16(4)/(7)`D. `15(4)/(7)` |
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Answer» Correct Answer - B (i) Find the work done by P and Q in one day and proceed. (ii) Fire of all find the part of the work done by Q and P in a period of 2 days. (iii) Then find total number of such periods (integer) required. (iv) Then find the time taken to complete remainig part startig with Q and then P. |
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| 73. |
Ram , Shaym and Tarun are three people on a job. Each takes m times the time taken by other two, to comleted a job. Find mA. 1B. 2C. `(1)/(2)`D. None of these |
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Answer» Correct Answer - B (i) Frame equation and solve (ii) Let the capacities or work complete in oe day by the three people be `(1)/(R),(1)/(S)and (1)/(T)`. Take`(1)/(R)=(1)/(m) ((1)/(S)+(1)/(T))`, `(1)/(S)=(1)/(m)((1)/(T)+(1)/(R)) and (1)/(T)=(1)/(m)((1)/(R)+(1)/(S))` Add the above three equations and find m. |
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| 74. |
P and Q can do a piece of work in 12 days 16 days, resepetively. With the help of R, they completed the work in 5 days and earn Rs. 912. What is the share of R?A. Rs. 249B. Rs. 247C. Rs. 243D. Rs. 245 |
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Answer» Correct Answer - B Find what part of the work is done by P and Q 5 days. The remaining work is done by R. |
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| 75. |
A piece of work can be done by 9 men and 15 women in 24 days. In how many days can 15 men and 15 women do the same work ? |
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Answer» Correct Answer - C Convert 15M+15W into one varibable, i.e., M or W and proceed |
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| 76. |
A piec of work can be done by 12 men in 24 days. After 4days. They started the work and then 6 more men joined them. How many days will they all take to complete the remaining work ?A. `12(1)/(3)`B. `13(1)/(3)`C. `11(2)/(3)`D. `13(2)/(3)` |
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Answer» Correct Answer - B (i) The work of 12 men in 4 days. `=(1)/(6)` (ii) After four days, 12 men can do remaining work in (24-4) days. `rArrM_(1)=12 and D_(1)=20` (iii) `M_(2)=(12+6)`, find `D_(2)` by using `M_(1)D_(1)=M_(2)D_(2)` . |
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| 77. |
A, B and C can complete a piec of work in 25, 30 and 50 days. Respectively. They started the work together But A and C left 2 days before the completion of the work. In how many days will the work in completed ?A. 14B. 12C. 18D. 10 |
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Answer» Correct Answer - B Consider the number of days as x. A and C worked for (x-2) days. |
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| 78. |
P and Q can complete a certain in 28 days and 56 days, respectively. P works for 7 days, and then Q joins P . In how many more days, can they complete the work ?A. 7B. 14C. 21D. 28 |
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Answer» Correct Answer - B (i) Fram the equation and solve. (ii) P works for 7 days, remaining work `=1-(7)/(28)-(3)/(4)` (ii) Let the required number of days =x `:. (x)/(28)+(x)/(56)=(3)/(4)`. |
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| 79. |
A and B can do a piece of work in 12 days, B and C in 15 days and A and C in 20 days. In how many days can each alone do the work?A. 30,20,50B. 30,45,60C. 30,20,60D. 20,30,50 |
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Answer» Correct Answer - C Calculate the work done by (A+B+C) in one day an proceeds. |
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| 80. |
When 6 men and 8 women can do a piece of work in 15 days, then 11 men and 16 women can do the same work in 8 days. In how many days can 4 men and 4 women do the work ?A. 28B. 24C. 26D. 30 |
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Answer» Correct Answer - B Use `M_(1)D_(1)=M_(2)D_(2)` |
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| 81. |
If X works 3 times as fast as Y and is able to complete, a work in 40 days less than the number of days taken by Y, then find the time in which they can complete the work working 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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| 82. |
Gauthan and Karthik can do a piece of work in 10 days and 20 days respectively. With the help of Nilesh, they can complete the whole work in 5 days. In how many days can Nilesh alone complete the work ?A. 10B. 20C. 15D. 30 |
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Answer» Correct Answer - B Find the part of the work by all the three in one day and part of the work done by Gautham and Karthik in one day. |
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| 83. |
The ratio of the number of days required by A,B and C to do a piece of work hours is `1:2:3`. Then, the ratio of work is …………… |
| Answer» Correct Answer - `6:3:2` | |
| 84. |
Twelve men can do a piece of work in 15 days. How many men are required to complete a work which is three and a half times the original work in 10 days ?A. 18B. 54C. 63D. 70 |
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Answer» Correct Answer - C Use the concept of variation. |
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| 85. |
Thirty men can lay a road of length 8 km in 8 days. The number of men required to lay-the road of length 16 km in 16 days is ……………….. |
| Answer» Correct Answer - 30 | |
| 86. |
Two taps P and Q can fill an empty tank in 15 hours and 30 hours respectively. Both taps were opened at 4 a.m. and after some time, tap Q was closed. It was found that the tank was full at 4 p.m. At what time was the tap Q shut ? |
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Answer» (a) Tank was filled in 12 hours. (P was open for 12 hours). (b) Tank was filled in 12 hours. P was opened for 12 hours and let Q was opened for x hours. (c ) `(12)/(15)+(x)/(30)=1`. `implies (24+x)/(30)=1` `implies x=6` hours `:.` Q was opened for 6 hours. |
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| 87. |
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. 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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| 88. |
A tap can fill an empty tank in 48 minutes whereas another tap can empty the full tank in 2 hours. If both the taps are opened at `11:40` a.m., when will the empty tank be filled ?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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| 89. |
A and B are two taps which can fill a tank in 6 hourse and 9 hours, respectively. C is an emptying tap, which can empty the tank in `7.5` hourse Tap B is opened 3 hours after tap A is opened. For how long does tap C to be ketp opne if the tank has to be filled in 6 hours ?A. `1(1)/(2)` hoursB. `2(1)/(2)` hoursC. 3 hoursD. 5 hours |
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Answer» Correct Answer - B (i) Tap A is opend for 6 hours and Tap Fror 3 hours. (iii) Let C be opened for x hours. (iii) Solve `(6)/(6)+(3)/(9)-(x)/(7.5)=1`, for x |
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| 90. |
On working 10 hourse a day, 15 men can complete a piece of work in 20 days. In how many days can 30 men complete if they work 5 hours per day? |
| Answer» Correct Answer - 20 | |
| 91. |
A piece of work can be done by 16 man in 8 days working 12 hours a day. How many men ar needed to complete another work,which is three times the first one, in 24n days working 8 hourse, a day? |
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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)` `rArrM_(2)=24` `:.` Requrired numbrer of men is 34 |
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| 92. |
While 4 men and 6 boys can do a piece of work in 2 days, 1 man, and 3 boys can do the same work in 6 days. In how many days can 1 man and 1 boy complete the same work? |
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Answer» Let the capaciteis of one man and one boy be m and b respectively Given `4m+6b=(1)/(2)` That is, `2m+3b=(1)/(6)` Also, `m+3b=(1)/(36)` Eqs.(1)-(2) gives, `m=(1)/(4)-(1)/(6)=(1)/(36)` `m+b=(1)/(12)+(1)/(36)=(1)/(9)` `:.` 1 mand and 1 boy can complete the work in 9 days |
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| 93. |
A and B together can do a piece of work in 12 days and A alone can complete the work in 18 days. How long will B alone take to complete the job ? |
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Answer» In a day, A and B together can do 1 /12th of the work. In a day, A alone can do 1/18th of the work. `:.` In one day, work done by B alone is `=(1)/(12)-(1)/(18)=(1)/(36)` `:.` B alone can complete the work in 36 days. |
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| 94. |
Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it ?A. 10B. 15C. 20D. 25 |
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Answer» Correct Answer - C 5 men are as efficient as 10 women. `:.` Each man is as efficient as 2 women. `:.`3 men and 4 women are as efficient as 10 complete it `=(200)/(10)=20` days. |
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| 95. |
If 20 men take 30 days to complete a job, in how many days can 25 men complete the job? |
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Answer» If 20 men can complete the job in 30 days, then the work measured in terms of mandays is `20xx30=600`. If this work is to be done by 25 men, then the number of days they will take is `600//25=24`. |
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| 96. |
A can do a piece of work in 34 days. He worked for 14 days and then left. B completed the remaining work in 30 days. In how many days can B alone complete the work?A. 38B. 51C. 46D. 62 |
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Answer» Correct Answer - B Find the work done by A in 14 days and then find the remianing work and proceed. |
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| 97. |
Anand is 50% more efficient than Bharath and Bharath is 100% more efficient that Chandu. Working together, they can complete a work in 10 days. In how many days can Anand alone do the work? |
| Answer» Correct Answer - 20 | |
| 98. |
A and B can do a piece of work in 6 days and 9 days respectively, they work on alternative days starting with A on the first day. In how many days will the work be completed ?A. `10(5)/(6)`B. 11C. `12(1)/(3)`D. 13 |
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Answer» Correct Answer - B Find the work done by A and B in a period of days and proceeds |
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| 99. |
A group of 5 people can do a piece of work in certain number of of days. If 4 more people join the group, they take 12 days less to do the same work. In work days can a group of 3 people do the work ?A. 30B. 45C. 15D. 60 |
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Answer» Correct Answer - B (i) Use `M_(1)D_(1)=M_(2)D_(2)` (ii) Let five people do the piece of work in x days. Find x. (ii) `5(x)=9(x-12)` (iii) Let three people do the same work in y days. (v) Use, `5xx x=3xxy` and find y |
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| 100. |
Time taken by 8 men and 6 boys is 3 times the time taken 15 men and 30 boys to complete a world if. 8 men and 12 boys can do a work in 34 days. Then how many men can do in 17 days? |
| Answer» Correct Answer - 34 | |