1. Rajesh and Ajay can complete a job in 16 days. Rajesh alone can do it in 24 days. How long will Ajay alone take to finish the whole work?
(a) 20 days
(b) 48 days
(c) 30 days
(d) 36 days
(e) 28 days
2.Kaberi can do a job in 10 days and Arati in 15 days. If both of them work together, how long will the work last?
(a) 8 days
(b) 9 days
(c) 4 days
(d) 6 days
(e) 11 days
3.Ram, Shyam and Mohan can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish it together?
(a) 10 days
(b) 12 days
(c) 14 days
(d) 8 days
(e) 5 days
4.Alok and Kaushik can alone do a holiday assignment in 25 days and 30 days respectively. They work together for 5 days and then Alok leaves due to his illness. Kaushik finishes the rest of the holiday assignment in x days. The value of ‘x’ is:
(a) 20
(b) 19
(c) 24
(d) 16
(e) 2
5.X work twice work as fast as Y. If Y can complete the job alone in 12 days, then in how many days can X and Y together finish the job.
(a) 18
(b) 4
(c) 6
(d) 8
(e) 2
6.Sundar can copy 80 pages in 20 hours, Sundar and Purbasa can copy 135 pages in 27 hours. How many pages Purbasa can copy in 20 hours?
(a) 50
(b) 55
(c) 27
(d) 20
(e) 35
7.Tapas works twice as much as Mihir. If both of them finish the work in 12 days, Tapas alone can do it in:
(a) 20 days
(b) 24 days
(c) 18 days
(d) 36 days
(e) 20 days
8.Xavier can do a job in 40 days. He worked on it for 5 days and then paes finished it in 21 days. In how many days Xavier and paes can finish the work?
(a) 10
(b) 15
(c) 20
(d) 25
(e) 12
9.Mary has ‘m’ minutes of home work in each of her ‘s’ subjects. In one hour she completes what part of her homework?
(a) m/s
(b) ms/60
(c) 1/ms
(d) 60/ms
(e) s/m
10.Gouri can knit a pair of socks in 3 days. Gita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks?
(a) 4
(b) 2
(c) 4.5
(d) 3
(e) 6
Answers:
1. Rajesh and Ajay can complete a job in 16 days. Rajesh alone can do it in 24 days. How long will Ajay alone take to finish the whole work?
(a) 20 days
(b) 48 days
(c) 30 days
(d) 36 days
(e) 28 days
1.(b)
1/16 – 1/24 = 1/48
Required number of days = 48
2.Kaberi can do a job in 10 days and Arati in 15 days. If both of them work together, how long will the work last?
(a) 8 days
(b) 9 days
(c) 4 days
(d) 6 days
(e) 11 days
2. (d)
1/10 +1/15 = 1/6
Required number of days = 6
3.Ram, Shyam and Mohan can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish it together?
(a) 10 days
(b) 12 days
(c) 14 days
(d) 8 days
(e) 5 days
3. (e)
1/12 +1/15 +1/20 = 12/60 = 1/5
Required number of days = 5
4.Alok and Kaushik can alone do a holiday assignment in 25 days and 30 days respectively. They work together for 5 days and then Alok leaves due to his illness. Kaushik finishes the rest of the holiday assignment in x days. The value of ‘x’ is:
(a) 20
(b) 19
(c) 24
(d) 16
(e) 2
4. (b)
Alok and Kaushik can alone do a holiday assignment in 25 days and 30 days respectively.
Let the total work = LCM(25,30) =150 units
So, Work done by Alok in one day = 150/25 = 6 units.
Work done by Kaushik in one day = 150/30 = 5 units.
Work for 5 days = 5*11 = 55
Required days = (150-55)/5 =95/5 = 19 days
5.X work twice work as fast as Y. If Y can complete the job alone in 12 days, then in how many days can X and Y together finish the job.
(a) 18
(b) 4
(c) 6
(d) 8
(e) 2
5. (b)
If Y can complete the job alone in 12 days then X can complete in 6 days.
1/12 + 1/6 =3/12 = 1/4
Required days =4 days
6.Sundar can copy 80 pages in 20 hours, Sundar and Purbasa can copy 135 pages in 27 hours. How many pages Purbasa can copy in 20 hours?
(a) 50
(b) 55
(c) 27
(d) 20
(e) 35
6. (d)
Efficiency of S = 80/20 = 4
Efficiency of P+S = 135/27 = 5
Efficiency of P = 5- 4 = 1
Required number of pages = 20*1 =20
7.Tapas works twice as much as Mihir. If both of them finish the work in 12 days, Tapas alone can do it in:
(a) 20 days
(b) 24 days
(c) 18 days
(d) 36 days
(e) 20 days
7. (c)
Efficiency of M = x
Efficiency of T = 2x
Efficiency of M + T = 3x
Total work = 12*3x = 36x
Required days = 36x/2x =18
8.Xavier can do a job in 40 days. He worked on it for 5 days and then paes finished it in 21 days. In how many days Xavier and paes can finish the work?
(a) 10
(b) 15
(c) 20
(d) 25
(e) 12
8. (b)
X complete the work= 40 days
So, X complete the work in 5 days = 5/40= 1/8
1/8 + 21/p = 1
21/p = 7/8
P =24
P complete the work = 24 days
Required days = 1/40 + 1/24 = 8/120
Required Days = 15
9.Mary has ‘m’ minutes of home work in each of her ‘s’ subjects. In one hour she completes what part of her homework?
(a) m/s
(b) ms/60
(c) 1/ms
(d) 60/ms
(e) s/m
9. (d)
Total homework = m*s
Homework done in 1 min = 1/ms
Homework done in 60 min (1 hour) = 60/ms
10.Gouri can knit a pair of socks in 3 days. Gita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks?
(a) 4
(b) 2
(c) 4.5
(d) 3
(e) 6
10. (a)
Number of days, when they work together = 1/3+1/6 = 2days
Required number of days = 2x2 = 4 days
