Time :- 60 minutes
Level :- Below average to Average
1. (i) 5 men can prepare 10 toys in 6 days working 6 hours a day. Then in how many days can 12 men prepare 16 toys working 8 hours a day. [Ans. (c) 3 days]
(a) 4 (b) 6 (c) 3 (d) 8 (e) None
(ii) 10 men can prepare 20 toys in 3 days working 12 hours a day. Then in how many days can 24 men prepare 32 toys working 4 hours a day. [Ans. (d) 6 days]
(a) 2 (b) 3 (c) 4 (d) 6 (e) None
(iii) 20 men can prepare 40 toys in 24 days working 18 hours a day. Then in how many days can 36 men prepare 48 toys working 16 hours a day. [Ans. (d) 18 days]
(a) 16 (b) 12 (c) 21 (d) 18 (e) None
2. (i)16 men can do a piece of work in 10days.How many men are needed to complete the work in 40 days. [Ans.(a)4 men]
(a) 4 (b) 6 (c) 8 (d) 10 (e) None
(ii) 40 men can cut 60 trees in 8 hours. If 8 men leave the job, how many trees will be cut in 12 hours? [Ans. (c) 72 trees]
(a) 64 (b) 56 (c) 72 (d) 80 (e) None
(iii) 8 men can do a piece of work in 5 days. How many men are needed to complete the work in 10 days? [Ans.(b) 4 men]
(a) 8 (b) 4 (c) 2 (d) 6 (e) None
(iv) 15 men can do a piece of work in 6 days. How many men are needed to complete the work in 3 days? [Ans. (a) 30 men]
(a) 30 (b) 25 (c) 35 (d) 40 (e) None
(v) 20 men can cut 30 trees in 4 hours. If 4 men leave the job, how many trees will be cut in 6 hours? [Ans. (b) 36 trees]
(a) 30 (b) 36 (c) 40 (d) 80 (e) None
3. (i) A can do 3/4th of a work in 12 days . In how many days can he finish 1/8th of the work? [Ans. (b) 2 days]
(a) 6 days (b) 2 days (c) 5 days (d) 3 days (e) None
(ii) Ram can do 2/3rd of a work in 16 days. In how many days can he finish 1/12th of the work? [Ans. (c) 2 days]
(a) 1 day (b) 3 days (c) 2 days (d) 2 ½ days (e) None
(iii) Vinay can do ¼ th of a work in 5 days. In how many days can he finish 1/5th of the work? [Ans. (c) 4 days]
(a) 20days (b) 5 days (c) 4 days (d) 7 days (e) None
4. (i) A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together? [Ans. (b) 2 8/11 days]
(a) 6 2/3 days (b) 2 8/11 days (c) 2 days (d) 4 days (e) None
(ii) A can do a piece of work in 30 days while B can do it in 40 days. A and B working together can do it in: [Ans. (d) 17 1/7 days]
(a) 70 days (b) 42 3/4 days (c) 27 1/7 days (d) 17 1/7 days (e) None
(iii) 10 men can complete a piece of work in 15 days and 15 women and complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed? [Ans. (c) 6 2/3 days]
(a) 6 days (b) 7 2/3 days (c) 6 2/3 days (d) 6 1/3 days (e)None
(iv) A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work? [Ans. (b) 9 3/8 days]
(a)7 3/4 days (b)9 3/8 days (c)8 4/5 days (d)10 days (e)None
5. (i) A, B and C can do a piece of work in 6, 12 and 24 days respectively. They altogether will complete the work in- [Ans. (a) 3 3/7 days]
(a)3 3/7 days (b)7/24 days (c) 4 4/5 days (d) 5/24 days (e)None
(ii) A can do a piece of work in 5 days; B can do it in 6 days. If C who can do the work in 12 days joins them, how long will they take to complete the work? [Ans. (c) 2 and 2/9 days]
(a) 7 days (b) 7 2/3 days (c) 2 and 2/9 days (d) 9 1/3 days (e)None
6. (i) A and B together can do a piece of work in 6 days and A alone can do it in 9 days. In how many days can B alone do it? [Ans. (c) 18 days]
(a) 7 days (b) 19 days (c) 18 days (d) 10 days (e) None
(ii) A & B can together do a piece of work in 15 days. B alone can do it in 20 days. A alone can do it in: [Railway Exam-1991] (a) 30 days (b) 40 days (c) 45 days (d) 60 days (e) None
(iii) A and B working together could mow a field in 28 days and with the help of C they could have mowed it in 21 days. How long would C take by himself ? [Ans. (c) 84 days]
(a) 86 days (b) 48 days (c) 84 days (d) 68 days (e) None
(iv) A and B finish a job in 12 days, while A, B and C can finish it in 8 days. C alone will finish the job in: [Ans. (c) 24 days]
(a)20 day (b) 14 day (c) 24 day (d) 16 day (e) None
(v) A can do a piece of work in 5 days, B in 4 days and A, B and C together in 2 days. In what time would C do it alone? [Ans. (d) 20 days]
(a) 25 days (b) 12 days (c) 15 days (d) 20 days (e) None
7. (i) I can finish a work in 15 days at 8 hrs a day. You can finish it in (6 and 2/3) days at 9 hrs a day. Find in how many days we can finish it working together 10 hrs a day. [Ans. (b) 4 days]
(a) 8 days (b) 4 days (c) 6 days (d) 9 days (e) None
(ii) I can finish a work in 16 days at 5 hrs a day. You can finish it in 12 days at 4 hrs a day. Find in how many days we can finish it working together 6 hrs a day. [Ans. (a) 5 days]
(a) 5 days (b) 4 days (c) 6 days (d) 8 days (e) None
8. (i) A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. How long would each take separately to do the same work? [Ans. (a) 30, 20,60 days]
(a) 30, 20, 60 days (b) 30, 20, 50 days
(c) 40, 20, 60 days (d) 20, 30, 60 days (e) None
(ii) A and B can finish a piece of work in 30 days, B and C in 40 days while C and A in 60 days. How long will they take to finish the work together? [Ans. (a) 26 2/3 days]
(a) 13 1/3 (b) 16 2/3 (c) 25 (d) 24 (e) None
(iii) A and B can do a piece of work in 10 days, B and C in 15 days and C and A in 20 days. They all work at it for 6 days, and then A leaves, and B & C can go on together for 4 days more. If B then leaves, how long will C take to complete the work? [Ans. (c) 10 days]
(a) 20 days (b) 25 days (c) 10 days (d) 15 days (e) None
9. (i) A is thrice as fast as B, and is therefore able to finish a work in 60 days less than B. Find the time in which they can do it working together. [Ans. (a) 22.5 days]
(a) 22.5 days (b) 25 days (c) 23 days (d) 19 days (e) None
(ii) A is twice as fast as B, and is therefore able to finish a work in 30 days less than B. Find the time in which they can do it working together. [Ans. (b) 20 days]
(a) 18 days (b) 20 days (c) 24 days (d) 22 days (e) None
(iii) A is 4 times as fast as B, and is therefore able to finish a work in 45 days less than B. Find the time in which they can do it working together. [Ans. (a) 12 days]
(a) 12 days (b) 16 days (c) 8 days (d) 20 days (e) None
(iv) A is thrice as fast as B, and is therefore able to finish a work in 40 days less than B. Find the time in which they can do it working together. [Ans. (c) 15 days]
(a) 16 days (b) 10 days (c) 15 days (d) 22 days (e) None
(v) A is thrice as good a workman as B, and is therefore able to finish a work in 80 days less than B. Find the time in which they can do it working together. [Ans. (a) 30 days]
(a) 30 days (b) 20 days (c) 24 days (d) 25 days (e) None
10. (i) To do a certain work B would take three times as long as A and C together and C twice as long as A and B together. The three men together complete the work in 10 days. How long would each take separately? [Ans. (c) 24, 40, 30 days]
(a) 25, 30, 15 days (b) 24, 30, 40 days (c) 24, 40, 30 days (d) 30, 40, 24 days (e) None
11. (i) A is twice as good a workman as B. Together they finish the work in 14 days . In how many days can it be done by each separately? [Ans. (a) A=21, B=42 days]
(a) 21, 42 days (b) 42, 21 days (c) 23, 21 days
(d) 12, 24days (e) None
(ii) A and B together can do a piece of work in 8 days. If A does twice as much work as B in a given time, find how long A alone would take to do the work? [Ans. (b) 12 days]
(a) 10 days (b) 12 days (c) 14 days (d) 16 days (e) None
(iii) A and B together can do a piece of work in 9 days. If A does thrice as much work as B in a given time, find how long A alone would take to do the work? [Ans. (a) 12 days]
(a) 12days (b) 14 days (c) 16days (d) 18days (e) None
(iv) A and B together can do a piece of work in 6 days. If A does twice as much work as B in a given time, find how long A alone would take to do the work? [Ans. (b) 9 days]
(a) 16 days (b) 9 days (c) 18days (d) 21 days (e) None
(v) A takes twice as much time as B and thrice as much time as C to finish a piece of work, working together they can finish the work in 2 days, find the time each will take to finish the work. [Ans. (a) 12, 6, 4 days]
(a) 12, 6, 4 days (b) 18, 9, 6 days
(c) 24, 12, 8 days (d) 12, 18, 6 days (e) None
12. (i) If 3 men or 4 women can reap, a field in 43 days, how long will 7 men and 5 women take to reap it? [Ans. (a)12 days]
(a) 12 days (b) 14 days (c) 15 days (d) 18 day (e) None
(ii) If 3 men or 5 women can reap, a field in 43 days, how long will 5 men and 6 women take to reap it? [Ans. (a)15 days]
(a) 15 days (b) 25 days (c) 18 days (d) 12day (e) None
(iii) If 6 men or 10 women can reap, a field in 86 days, how long will 10 men and 12 women take tom reap it?
(a) 30 days (b) 35 days (c) 25 days (d) 40 day (e) None
(iv) If 4 men or 6 boys can reap a field in 20 days, how long will 6 men and 11 boys finish it? [Ans. (b) 6 days]
(a) 8 days (b) 6 days (c) 7 days (d) 9 day (e) None
13. (i) 1 men or 2 women or 3 boys can do a work in 44 days. Then in how many days will 1 man, 1 woman and 1 boy do the work? [Ans. (d) 24 days]
(a) 26 days (b) 19 days (c) 18 days (d) 24 days (e) None
(ii) 2 men or 3 women or 4 boys can do a work in 52 days. Then in how many days will 1 man, 1 woman and 1 boy do the work? [Ans. (d) 48 days]
(a) 24 days (b) 42 days (c) 36 days (d) 48 days (e) None
(iii) 3 men or 4 women or 5 boys can do a work in 47 days. Then in how many days will 1 man, 1 woman and 1 boy do the work? [Ans. (c) 60 days]
(a) 40 days (b) 50 days (c) 60 days (d) 45 days (e) None
14. (i) A man or a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?[Ans. (c) 8 boys]
(a) 6 boys (b) 10 boys (c) 8 boys (d) 5 boys (e) None
(ii) A can do a job in 20 days .B in 30 days and C in 60 days. If A is helped on every 3rdday by B and C, then in how many days the job is finished? [Ans. (b) 15 days]
(a) 20 days (b) 15 days (c) 18 days (d) 24 days (e) None
(iii) A and B can do a job in 16 days and 12 days respectively. 4 days before finishing the job, A joined B. B has started the work alone. Find how many days B has worked alone?[Ans. (d) 5 days]
(a) 8 days (b) 10 days (c) 4 days (d) 5 days (e) None
(iii) A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days? [Ans. (a) 8 boys]
(a) 8 boys (b) 10 boys (c) 12 boys (d) 16 boys (e) None
(iv) A can do a piece of work in 24 days, while B alone can do it in 16 days. With the help of C they finish the work in 8 days. Find in how many days alone C can do the work?[Ans. (a) 48days]
(a) 48 days (b) 36 days (c) 40 days (d) 50 days (e) None
15. (i) 6 men and 3 boys working together can do 5 times as much work per hour as a man and a boy together. Compare the work of a man with that of a boy. [Ans. (a) 2 : 1]
(a) 2 : 1 (b) 3 : 1 (c) 3 : 2 (d) 4 : 1 (e) None
(ii) 8 men and 4 boys working together can do 6 times as much work per hour as a man and a boy together. Compare the work of a man with that of a boy. [Ans. (c) 1 : 1]
(a) 2 : 1 (b) 3 : 1 (c) 1 : 1 (d) 1 : 2 (e) None
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