objective Ques (149 results)
SSC CGL Mains 20241)Rani and Adya, working separately, can finish a task in 12 days and 16 hours, respectively. They work in stretches of one day alternately. If Rani starts working first, then the task will be completed in
A)
B)
C)
D)
.
SSC CGL 20222)Aarif, Arun and Abraham can do a work in 12, 20 and 24 days, respectively. They all begin together. Aarif leaves the work 1 day, Arun 3 days and Abraham 4 days before its completion. In how many days is the work finished?
8
SSC CGL 20223)A is 40% more efficient than B. How much time will both, working together, take to finish the work, which B alone can finish in 36 days?
15 days
SSC CGL 20224)Raju, Shobh and Mohan can do a work in 15 days, 20 days and 25 days respectively. In how many days,will the work be finished, if they do it on alternate days, Starting from Raju?
\(18\frac{9}{{10}}\) days
SSC CGL 20225)A machine takes 10 h to cut 240 tools. How many tools will it cut in 25 h?
600
SSC CGL 20226)If Anju is 30% more efficient than Bitt, then how much time will they take, working together, to complete a job which Anju alone could have done in 23 days?
13 days
SSC CGL 20227)A is 20% more efficient than B. How much time will they working together take to complete a job which A alone could have done in 29 days?
\(\frac{174}{11}\)
SSC CGL 20228)A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
40 days
SSC CGL 20229)Two persons A and B working separately can sanitise a building in 6 and 10 hours, respectively. They work in stretches of one hour alternately. If A begins at 8 a.m., then when will the work be finished?
\(7 \frac{1}{3} h\)
SSC CGL 202210)Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
\(16\frac{16}{17} days\)
SSC CGL 202211)6 men and 8 women can do a piece of work in 10 days, whereas 26 men and 48 women can do the same work in 2 days. What will be the time taken by 15 men and 20 women to do the same work?
4 days
SSC CGL 202212)A takes 4 times as much time as B or 5 times as much time as C to finish a piece of work. Working together, they can finish the work in 4 days. B can do the work alone in:
10 days
SSC CGL 202213)If 450 men can finish construction of an apartment in 20 days, then how many men are needed to complete the same work in 30 days?
300
SSC CGL 202214)A, B and C can complete a piece of work separately in 10, 20 and 40 days, respectively. In how many days will the work be completed if A is assisted by both B and C every third day?
\(8 \frac{2}{7}\)
SSC CGL 202215)P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
12
16)3 men can do as much work as 5 boys. The wages of 3 boys are equal to those of 2 men. A piece of work for which 40 boys and 15 men are employed takes 8 weeks and costs Rs 15750. How long would it take if 20 boys and 20 men were employed and how much would it cost?
68¼ days, Rs 15356.25
17)12 Men and 6 women can do a piece of work in 14 days, while 8 men and 9 women can do the work in 16 days. if a man gets Rs 54 per days, what should be the wage of a woman per day?
Rs.36
18)5 men, 6 women and 4 children can complete a work in 10 days. 6 women and 6 children can do it in 20 days, while 2 men and 6 women can do it in 18 days. In how many days will 2 men and 1 woman will complete the same work?
36 days
19)8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
12 days
20)A alone can complete a work in 30 days while B alone can complete the same work in 20 days. In how many days both working together can complete the same work?
12
21)A and B can complete a piece of work together in 20 days. They start work together but A had to leave 5 days before the work finally got over. If B finishes the remaining in 18 days, then how long will B take to complete the work separately.
72 days
22)24 men can do work in 16 days, while 32 women do the same work in 24 days. If 16 men and 16 women started the work, then after 12 days how many more men needed to finish the remaining work in 2 days?
24
23)A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a workman as C, then in what time will B alone do 40% of the same work?
12 days
24)A, B, and C can complete a work in 40, 60, and 80 days respectively. They started working together. If A and B left 11 days and 8 days before the completion of work. In how many days they will complete the work.
26 days
25)To do a certain work, A and B work on alternate days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in \(11 {1 \over 3}\) days, then B alone can complete 7/9 part of the work in ?
6
26)If 'A' is 7 times as efficient as 'B', 'B' takes 32 days to complete the task, then find the number of days required to finish the whole work by 'A' and 'B' working together.
4 days
27)The efficiency of A, B, and C is 2 : 3 : 5. A alone can complete a work in 50 days. They all work together for 5 days and then C left the work, in how many days A and B together can complete the remaining work?
10 days
28)Pooja takes 3 times as much as time than Charu and twice as much time as Bano to do a work. If all three work together, she can finish the work in 2 hours. How long will it take Bano to do the whole work alone?
6 hours
29)For doing a certain work, the efficiencies of A, B and C are in the ratio 2 : 3 : 5. Working together, they can complete the same work in 15 days. B and C can complete 80% of the original work in:
15 days
30)A and B alone can complete a piece of work in 4 days and 8 days, respectively. In how many days will the work be completed, if they both work on alternate days starting with A?
5 days
31)If A and B together can complete a piece of work in 20 days and B alone in 25 days, in how many days can A alone complete the work?
100 days
32)Two friends A and B take a job for Rs. 8000. Had they worked alone, A would have taken 15 days while B would have taken 40 days. They started working together but after 6 days, A left and B completed the remaining work alone. Find the difference between their share.
Rs. 1600
33)A can do a work in 5 days while B can do the same work in 8 days. They worked together to complete the work and earned Rs. 6760. Find A’s share?
Rs. 4160
34)If the operating cost of 6 burners for 6 hours in 8 days is Rs. 450 then find the number of burners if used for 5 hours for 10 day with operating cost of Rs.1250.
16
35)A can do a piece of work in 20 days while B can do it in 30 days. They work together for 10 days and the rest of the work is done by C in 5 days. If they get Rs 560 for the whole work, how much money will A get?
Rs. 280
36)3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?
4 days
37)10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
28
38)A, B and C completed a piece of work. A worked for 6 days. B for 9 days and C for 4 days. Their daily wages were in ratio of 3 : 4 : 5. Find the daily wage of C, if their total earning was Rs 1480.
100
39)Rekha and Sonali received Rs.2800 as wages for 20 days for the work they did together. Rekha’s efficiency in the work was three times that of the Sonali. What are the daily wages of Sonali?
Rs. 35
SSC CGL 202240)A tyre has two punctures. The first puncture alone would have made the tyre flat in 45 minutes, and the second puncture alone would have done it in 90 minutes. If air leaks out at a constant rate, then how long (in minutes) does it take for both the punctures together to make the tyre flat?
30
SSC CGL 202241)If 35 men can finish a work in 6 days, then in how many days can 7 men do half of the same work?
15
SSC CGL 202242)A and B working alone can complete a work in 8 days and 12 days, respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?
6
SSC CGL 202243)A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?
18
SSC CGL 202244)P and Q completed a work together and were paid ₹1,080 and ₹1,440, respectively. If P can do the entire work in 20 days, how many days did they take to complete the work together?
\(8{4\over7}\)
SSC CGL 202245)A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How may boys were shifted to another hostel?
100
SSC CGL 202246)20 men can finish a work in 30 days. They started working, but 4 men left the work after 10 days. In how many days would the work be completed?
35
SSC CGL 202247)X, Y and Z can complete a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?
\(11\frac{5}{7}\)
SSC CGL 202248)14 men can complete a work in 15 days. If 21 men are employed, then in how many days will they complete the same work?
10
SSC CGL 202249)A can do a certain work in 15 days, while B can do the same work in 21 days. If they work together, then in how many days will the same work be completed?
\(8\frac{3}{4} \)
SSC CGL 202250)A can complete work in 25 days and B can complete the same work in 20 days. They started the work together but B left after 4 days and A continued to work. In how many days will the entire work be completed?
20
SSC CGL 202251)A man, a woman and a boy can complete a work in 3, 4 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?
5
SSC CGL 202252)Person A can do one-fifth of the work in 3 days, while B's efficiency is half of that of A. In how many days A and B working together can do half of the work?
5
SSC CGL 202253)A tyre has 3 punctures. The first puncture alone would have made the tyre flat in 9 minutes, the second alone would have done it in 18 minutes, the third alone would have done it in 6 minutes. If the air leaks out at a constant rate, then how long (in minutes) does it take for all the punctures together to make it flat?
3
SSC CGL 202254)If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days, then how many days will 5 men and 4 boys take to do the same work?
8
SSC CGL 202255)Five men and 2 boys can do as much work in 30 days as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
10
SSC CGL 202256)A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?
12
SSC CGL 202257)A, B and C can do a work in 8, 10 and 12 days, respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs.) in the amount received?
1,800
SSC CGL 202258)A can finish a piece of work in 48 days and B can finish it in 60 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?
8 days 6 hours
SSC CGL 202259)X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively, X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning then for how many days did X work?
18
SSC CGL 202260)A can finish a piece of the work in 16 days and B can finish it in 12 days. They worked together for 4 days and then A left. B finished the remaining work. For how many total number of days did B work to finish the work completely?
9
SSC CPO 202061)P and Q together can do a work in 12 days. P alone can do the same work in 36 days. In how many days can Q alone complete two-third part of the same work?
12
SSC CPO 202062)A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
7
SSC CPO 202063)A and B can do a job in 10 days and 5 days, respectively, They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 40% of the job?
12 days
SSC CPO 202064)A is twice as good a workman as B, and together they finish a piece of work in 13 days. In how many days will A alone finish the work ?
\(19 \frac{1}{2}\)
SSC CPO 202065)P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-third part of the same work?
24days
SSC CPO 202066)A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
5
SSC CPO 202067)A and B can do a piece of work in 25 days. B alone can do \(66 \frac{2}{3}\) % of the same work in 30 days. In how many days can A alone do (4/15) part of same work?
15
SSC CPO 202068)A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can B alone complete the same work?
90
SSC CPO 202069)X can do a work in 3 days, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work?
5 hours 20 minutes
SSC CPO 202070)A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can A alone complete the same work?
60
SSC CPO 202071)A is twice as good a workman as B and together they finish a piece of work in 13 days. In how many days will B alone finish the work?
39
SSC CPO 202072)A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 60% of the job?
18 days
SSC Selection Post Matric 202273)Eight men can complete a work in 54 days. In how many days will 6 men and 12 boys complete the same work if one man works as much as 2 boys?
36
SSC Selection Post Matric 202274)A and B can do a certain work in 25 and 20 days, respectively. They work together for 4 days. The remaining work is completed by C in 8 days. C alone can complete 40% of the original work in:
5 days
SSC Selection Post Matric 202275)18 men can complete a certain work in 15 days working 8 hours a day. How many men can complete the same work in 12 days working 9 hours a day?
20
SSC Selection Post Matric 202276)‘A' can complete a work in 20 days and ‘B' can do \(\frac{2}{5}\) of the same work in 16 days. They work together for 10 days. The remaining work was completed by 'C’ alone in 12 days. ‘C’ alone will complete the same work in:
48 days
SSC Selection Post Matric 202277)A and B together can do a certain work in 36 days, whereas B and C together can do it in 30 days. A, B and C together can complete the same work in 24 days. In how many days can A alone complete \(33 \frac{1}{3} \)% of the same work?
40
SSC Selection Post Matric 202278)A, B and C can complete a certain work in 30 days. B and C together can complete the same work in 45 days. If B is 20% more efficient than A, then B alone can complete one-third of the same work in:
25 days
SSC Selection Post Matric 202279)Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If the tank is 50% full, and both pipes are opened together, then the tank will be completely empty after:
6 minutes
SSC Selection Post Matric 202280)A can do 50% of a work in 20 days and B can do \(66\frac{2}{3}\) % of the same work in 40 days. Both work together for 6 days. The remaining work is completed by C alone in 12 days. Working together, A, B and C will complete the same work in:
\(9\frac{3}{5}\) days
SSC Selection Post Matric 202281)A certain number of men can do a piece of work in 48 days. If there were 30 more men, it would take 18 days less to complete the work. The number of men, initially, is:
50
SSC Selection Post Matric 202282)P sold a camera to Q at 32% profit. However, Q sold it to R at a loss of 20% . If R paid Rs.6,464 for the camera, what was the price (in Rs, to the nearest rupee) paid by P for it?
6,121
SSC Selection Post Matric 202283)P can do a piece of work in 48 days and Q and do half of the same work in 30 days. If they both work together, in how many days can they complete three - eigth of the work?
10
SSC Selection Post Matric 202284)A and B together can do a work in 16 days. If A alone can do the same work in 48 days, then in how many days can B alone do the same work?
24
SSC Selection Post Matric 202285)A can do a work in 10 days. He worked for 6 days and left the work. The remaining work was done by B in 8 days. In how many days can B alone do 65% of the work?
13
SSC Selection Post Matric 202286)A and B can do a piece of work in 24 days and 48 days, respectively. Working together, they completed the work in 12 days with the help of C. How long (in days) will C take to do five-sixth of the work all by himself?
40
SSC Selection Post Matric 202287)A earns ₹2,250 in a day if he works for 8 hours a day. B earns ₹3,750 per day if he works for 6 hours a day. The ratio of the per hour wages of A to that of B is:
9 : 20
SSC Selection Post Matric 202288)A is 40% more efficient than B. If B finishes a work in 14 days , then in how many days will A finish the same work?
10
SSC Selection Post Matric 202289)A, B and C can do one-third of a work in 15 days, 30 days and 10 days, respectively. A started the work. C joined him after 1 day and B joined them after 3 days of the beginning. For how many days did C work?
15
SSC Selection Post Matric 202290)Three men do as much work as 4 boys do and the 4 boys can together complete work in 21 days. In how many days will 9 men and 2 boys complete the same work?
6
SSC Selection Post Matric 202291)P, Q and R together can do a piece of work in 56 days. P and Q together can do one-fourth as much work as R alone. In how many days can P and Q together complete the entire work?
280
SSC CHSL 202192)Anu can complete a piece of work in 22 days. Shama is 60% more efficient than Anu. How many days does Shama alone take to complete the same piece of work?
\(13\frac{3}{4}\)
SSC CHSL 202193)A and B can complete a piece of work in 27 days and 54 days, respectively. They completed the work in 9 days with the help of C. How many days will C take to complete eight-ninths of the work alone?
16
SSC CHSL 202194)Varun and Gaurav can dig a pond in 10 days and 18 days, respectively. After finishing that work together, they receive an amount of Rs.7,280. What is the share of Gaurav in that amount?
Rs. 2,600
SSC CHSL 202195)A completes 20% of a work in 5 days and B completes one-third of the work in 5 days. They began the work together but B leaves after 3 days. The total number of days needed for completion of the work is:
20
SSC CHSL 202196)X can complete half of the work in 20 days and Y can do one-fifth of the same work in 10 days. X started the work and left after 8 days. Then Y took over to complete the remaining work. The total number of days taken by them to complete the work is:
48 days
SSC CHSL 202197)Working together A, B and C can complete a piece of work in 3 days. A completes the same work in 24 days and B completes it in 6 days. How many days will C alone take to complete the same work?
8
SSC CHSL 202198)15 persons working 6 hours per day earn Rs. 900. How much money will 20 persons earn, working 10 hours per day?
Rs. 2,000
SSC CHSL 202199)10 men or 15 women can complete a work in 30 days. In how many days can 15 men and 27 women complete the work?
\(9\frac{1}{11}\)
SSC CHSL 2021100)A can complete one-sixth of a work in 5 days and B can complete one-fourth of the same work in 15 days. In how many days, will both working together complete the work?
20 days
SSC CHSL 2021101)A can complete a task in 6 days, while B can complete the same task in 12 days. How many days will they take to complete the same task if they work together?
4
SSC CHSL 2021102)40 persons take 6 days to complete a certain task, working 10 hours a day. How many hours a day will be sufficient for 30 persons to complete the same task in 10 days?
8
SSC CHSL 2021103)Suman and Lata working together can complete a task in 8 days. If Lata can complete the same task in 12 days, then how many days will Suman take to complete the same task?
24
SSC CHSL 2021104)A can do a piece of work in 12 days. He worked for 6 days and left, and then B finished it in 10 days. If both work together, then in how many days will they finish the same work?
7.5
SSC CHSL 2021105)Geeta can assemble a toy in 10 minutes, whereas Sudha can assemble the same toy in 15 minutes. If they work together, how much time will they take to assemble 60 toys?
6 hours
SSC CHSL 2021106)Sachin alone can complete a piece of work for Rs. 8,500 in \(8\frac{1}{2}\) days. But with the help of Vishnu, the work is completed in 6 days. The share to be paid to Vishnu is:
Rs. 2,500
SSC CHSL 2021107)A can do 60% of a work in 18 days, while B can do 40% of the same work in 10 days. Both work together for 10 days only. C completed the remaining work in 4 days. In how many days will C complete the same work?
15
SSC CHSL 2021108)A can complete a work in 20 days, while B can complete the same work in 25 days. Both worked together for 10 days and then C alone completed the remaining work in 10 days. In how many days will A, B and C together complete the same work?
10 days
SSC CHSL 2021109)A can complete a certain work in 30 days. He started the work. After 4 days, B joined him and the whole work was completed in 10 days from the beginning. B alone can complete one-third of the same work in:
3 days
SSC CHSL 2021110)A is thrice as efficient as B. A takes 24 days less than B to complete a work. If they work together, in how many days, will the work be completed?
9
SSC CHSL 2021111)P and Q can complete a work in 9 days and 15 days, respectively. If they work together for three days, then in how many days will the remaining work be completed by Q alone?
7
SSC CHSL 2021112)A, B and C can complete a work in x, 30 and 45 days, respectively. B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is:
18
SSC CHSL 2021113)A, B and C can independently complete the same task in 4, 6 and 12 days, respectively. In how many days will they be able to complete the same task if they work together?
2
SSC CHSL 2021114)A person rows upstream a distance of 55 km in 5 hours and rows downstream a distance of 75 km in 3 hours. How much time will he take to row a distance of 96 km in still water?
5 hours 20 minutes
SSC CHSL 2021115)A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number persons is:
60
SSC CHSL 2021116)P can complete five-eighths of a work in 15 days and Q can complete three-fourths of the same work in 30 days. They worked together for 8 days and then P left. How much time will Q working alone, take to complete the remaining work?
18 days 16 hours
P alone can complete work in = 15 × 8/5 = 24 days
Q alone can complete work in = 30 × 4/3 = 40 days
Let work done alone by Q to complete work be x, then 8/24 + (8+x)/40 = 1
x = 56/3 days which is equal to 18 days and 16 hours
SSC CHSL 2021117)X and Y together can do a work in \(2 \frac{2}{5}\) days, Y and Z together can do the same work in 3 days, and X and Z together can do the same work in 4 days. The time taken by X, Y and Z together to do the same work is:
2 days
SSC CHSL 2021118)A can complete a piece of work in 7 days and B can complete the same work in 12 days. A and B worked together for 3 days. C alone completed the remaining work in 9 days will C take to complete the same work entirely?
28
SSC CHSL 2021119)24 persons can do a piece of work in 20 days. In how many days can 30 persons do the same work?
16
SSC CHSL 2021120)A can do a work in \( 7 \frac{1}{2} \) hours and B can do the same work in \( 10 \frac{1}{2} \) hours. If they work together for \(3 \frac{1}{2}\) hours, then what part of the work will be left out?
1/5
SSC CHSL 2021121)A and B complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C, How many days will C take to complete the entire work alone?
120
SSC CHSL 2021122)A and B can complete a certain work in 6 days and 8 days, respectively. They worked together for 3 days. C alone completed the remaining work in 2 days. B and C together can complete \(\frac{3}{4}\) of the same work in:
4 days
SSC CHSL 2021123)Working together, A, B and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?
24 hours
SSC CHSL 2021124)Varun and Syan can do a work in 3 days. Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?
24
SSC CHSL 2021125)A and B can complete a certain task in 24 days and 40 days, respectively. They worked together for 8 days. C completed the remaining task in 14 days. Working together, A and C will complete 75% of the same work in:
10 days
SSC CGL 2020126)To complete a certain task. X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will completed by X alone in:
5 days
Efficiency of X = 140% of Y = 1.4Y;
Efficiency of Z = 60% of Y = 0.6Y;
Efficiency of X, Y and Z = 1.4 : 1 : 0.6 = 7 : 5 : 3;
They can complete the task in 21 days so,
\(Total \space work = sum\space of\space efficiency\space ratio \times times = (7 + 5 + 3) \times 21 = 315\);
Y and Z together worked for 35 days so,
Work done by Y and Z = \((5 + 3) \times 35 = 280\);
Remaining work = 315 - 280 = 35;
Remaining work complete by X = work/efficiency = 35/7 = 5 days
SSC CGL 2016127)In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar
7.2 sec
SSC CGL 2016128)A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
12 days
SSC CGL 2020129)Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?
12
Let one man can finish work in m days & one woman finish work in w days. then work done by 1 man in 1 day is 1/m .
and work done by 16 men in 8 days = 1 .
\(\therefore{16\times8\over m}=1\);
also, \({8\times10\over m}+{9\times10\over w}=1\); Solving above, m = 128 days, w = 240 days;
Let 20 women finish work in x days = \({20\times x\over 240}=1\); ⇒ x = 12 days
SSC CGL 2020130)A, B and C can individually complete a task in 24 days, 20 days and 18 days, respectively. B and C start the task, and they work for 6 days and leave. The number of days required by A alone to finish the remaining task is:
\(8{4\over5}\) days
Part of work done by B and C in 6 days = \(6({1\over20}+{1\over18})={19\over30}\); Remaining work = \(1-{19\over30}={11\over30}\); Time taken by A to complete the remaining work = \({11\over30}\times24=8{4\over5}\) days
SSC CGL 2020131)Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?
8 days
One day's work of (Amit + Sunil + Dinesh) =\({1\over2}({1\over9}+{1\over12}+{1\over18})={1\over8}\); The work can be completed by all three together in 8 days.
SSC CGL 2020132)A, B and C can individually complete a task in 20 days, 16 days and 30 days, respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is:
\(16 \frac{1}{2}\) days
Let the total work be 240 units. (LCM of 20, 16 and 30 is 240.)
Efficiency of A = total work/time taken to complete work = 240/20 = 12;
Efficiency of B = 240/16 = 15;
Efficiency of C = 240/30 = 8; Work done by A and B in 4 days = \(4 \times (12 + 15) = 4 \times 27\) = 108 units
Remaining work = 240 -108 = 132 units
Time taken by C to complete remaining work = 132/8 = \(16 \frac{4}{8} = 16 \frac{1}{2}\)
SSC CGL 2020133)Ten men or twelve women can finish the same work in 10 days. If 5 men and 2 women undertake the work together, how many days will they take to complete the work?
15
Let the work be 1 and work done by 1 men in 1 day = \(1\over M\) & by 1 women in 1 day = \(1\over W\); then \({10\times10\over M} = 1\) ⇒ M = 100; & \({10\times12\over W}=1\) ⇒ W = 120;
Now let 5 men and 2 women complete the work in x days = \(x({5\over M}+ {2\over W})=1\); then put the value of M=100 & W = 120: then x = 15 days
SSC CGL 2020134)A contract is to be completed in 75 days and 187 men are to work 15 hours per day. After 65 days, \(3\over5\) of the work is completed. How many additional men should be employed, so that the work is completed in time, each man now working 17 hours per day?
528
Remaining work = \(1 - {3\over5} = {2\over5}\); Remaining time = 75 - 65 = 10 days; \({M_1D_1T_1\over W_1}={M_2D_2T_2\over W_2}\); ⇒ \({187\times65\times15\over{3\over5}}={M_2\times10\times17\over{2\over5}}\); ⇒ \(M_2=715\);
So number of additional men = 715 - 187 = 528
SSC CGL 2020135)If 18 men can cut a field in 35 days, then in how many days can 21 men cut the same field?
30
\(M_1D_1=M_2D_2\); ⇒ 18 x 35 = 21 x \(D_2\); ⇒ \(D_2 =30 days\)
SSC CGL 2020136)A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work ?
18
C's 1 day's work = (A+B+C)'s 1 day's work - (A+B)'s 1 day's work = \({1\over3}-({1\over6}+{1\over9})={1\over18}\);
C, alone can do work in 18 days.
SSC CGL 2020137)Eight persons can finish a work in 20 days. After 5 days they were requested to complete the work in the next 8 days. How many more persons should join the group to fulfil the requirement?
7
Total work = number of persons x time = 8 x 20 = 160;
Work done in 5 days = \( 8\times 5\) = 40;
Remaining Work = 160 - 40 = 120;
According to question,
Number of man x time = 120;
Number of man x 8 = 120;
Number of man = 120/8 = 15;
Number of persons should join the group = 15 - 8 = 7
SSC CGL 2020138)A, B and C can individually complete a task in 24 days,16 days and 32 days respectively. If A and C start the work and worked for 6 days and left, then the number of days required by B to complete the remaining task, is :
9
Let the total work be 96 units.
( LCM of 24, 16 and 32 is 96.)
Efficiency of A = work/time = 96/24 = 4;
Efficiency of B = 96/16 = 6;
Efficiency of C = 96/32 = 3;
Efficiency of A and C = 4 + 3 = 7;
Work done by A and C in 6 days = 7 x 6 = 42 units;
Remaining work = 96 - 42 = 54 units;
Time taken by B to complete 54 units work = 54/6 = 9 days
SSC CGL 2019139)A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in :
2 days
A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in :
Let work be 1, A can do work in A days, B can do work in B days and C can do work in C days then
\({12\over A} = 0.4\), \({15 \over B} = 0.6\), A= 30 days, B = 25 days ; let C complete remaining work in 4 days after A and B works for 10 days
\( {10 \over 30}+{10\over 25}+ {4\over C} = 1\); C = 15 days.
Let the 28% work be completed in x days
\( {x \over 30}+{x\over 25}+ {x\over 15} = 0.28\)
Solve for x ; it will be 2 days
SSC CGL 2019140)To do a certain work, the ratio of the efficiencies of X and Y is 5 : 4. Working together, they can complete the same work in 10 days. Y alone starts the work and leaves after 5 days. The remaining work will be completed by X alone in:
14 days
SSC CGL 2019141)4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
13
SSC CGL 2019142)25 persons can complete a work in 60 days. They started the work. 10 persons left the work after x days. If the whole work was completed in 80 days, then what is the value of x ?
30
SSC CGL 2019143)A can do one-third of a work in 15 days, B can do 75% of the same work in 18 days and C can do the same work in 36 days. B and C work together for 8 days. In how many days will A alone complete the remaining work?
20 days
SSC CGL 2019144)A is as efficient as B and C together. Working together A and B can complete a work in 36 days and C alone can complete it in 60 days. A and C work together for 10 days, then B alone will complete the remaining work in :
110 days
1/A = 1/B + 1/C
1/A + 1/B = 1/36
C = 60
solving for A and B we get A = 45 , B = 180
Let B finishes remaining work in x days, then
10/A + 10/C + x/B = 1
⇒ 10/45 + 10/60 + x/180 = 1
⇒ x = 110
SSC CGL 2019145)To do a certain work, the ratio of efficiency of A to that of B is 3 : 7. Working together, they can complete the work in \(10\frac{1} {2} \)days. They work together for 8 days. 60% of the remaining work will be completed by A alone in:
5 days
Efficiency ratio of A to B = 3 : 7;
Let the efficiency of A and B be 3x and 7x respectively.
Total efficiency = 3x + 7x = 10x;
Time taken by A and B to complete the work =\( 10\frac{1}{2} \)= 21/2;
Total work = days to complete the work \times efficiency = \(10x \times 21/2\) = 105x;
Work done in 8 days = \(10x \times 8 \)= 80x;
Remaining work = 105x - 80x = 25x;
60% of the remaining work = \(25x \times \frac{60}{100}\) = 15x;
Time taken by A to complete 15x work = 15x/3x = 5 days
SSC CGL 2019146)A certain numberof persons can complete a work in 34 days working 9 hours a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?
10
Let the number of persons be x.
Total work = \(34 \times 9x\) = 306x;
Now, number of person = 0.6x;
\(0.6x\times h \times 51\) = 306x;
h = 306/30.6 = 10;
therefore 10 hours a day should the remaining persons work to complete the work in 51 days.
SSC CGL 2019147)Pipes A, B and C can fill a tank in 30 h, 40 h and 60 h respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 10 a.m. respectively on the same day. When will the tank be full?
9.20 p.m.
Let the total work be 120 units.|
(\because LCM of 30, 40 and 60 be 120.);
Efficiency of pipe A = 120/30 = 4 units/hr;
Efficiency of pipe B = 120/40 = 3 units/hr;
Efficiency of pipe C = 120/60 = 2 units/hr;
Work done by pipe A in 3 hr(7 am to 10 am) =\( 4 \times 3 \)= 12;
Work done by pipe B in 2 hr(8 am to 10 am) = \(3 \times 2\) = 6;
remaining work = 120 - 12 - 6 = 102 units;
At 10 am, all pipes are opened.
So, time taken by all pipes to complete the remaining work =\( \frac{112}{4 + 3 + 2} = \frac{102}{9} = 11\frac {3}{9} \)= 11hr 20 min;
Time when tank will be filled = 10 am + 11 hr 20 min = 9 .20 p.m.
SSC CGL 2019148)A and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned Rs. 1848. What was the share of C ?
Rs. 231
Let the total work be 24 units.
(\because LCM of 6, 8 and 3 is 24.);
Efficiency of A = 24/6 = 4;
Efficiency of B = 24/8 = 3;
Efficiency of A, B and C = 24/3 = 8;
Efficiency of C = 8 - 4 - 3 = 1;
Ratio of the efficiency of A, B and C = 4 : 3 : 1;
Total earning = 1848;
Share of C = \(\frac{1}{4 + 3 + 1} \times 1848 = \frac{1}{8} \times 1848\) = Rs.231
SSC CGL 2020149)Ram and Shyam can complete a task in \(6{ 2\over 3}\)days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?
2 days
let the work be 1
work done by Ram in 1 day = \({3 \over 20}\)
work done by Shyam in 1 day = \({1 \over 15}\)
let the shyam completes work in x days after ram leaves.
\(({3\times 4 \over 20}) + ({x+ 4 \over 15}) = 1\)
solving above equation x = 2 days.