Numerical Ability : : Time and Work Quiz with Solutions


1.Ravi and Kiran  can complete a job in 16 days. Ravi alone can do it in 24 days. How long will Kiran alone take to finish the whole work?
(a) 20 days
(b) 48 days
(c) 30 days
(d) 36 days
(e) 28 days

Answer
1.(b) 1/16 – 1/24 = 1/48
Required number of days = 48
2.Kishore can do a job in 10 days and Arjun 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
Answer
(d)1/10 +1/15 = 1/6
Required number of days = 6
3.X, Y and Z 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
Answer
(e)1/12 +1/15 +1/20 = 12/60 = 1/12
Required number of days = 5
4.A and B can alone do a holiday assignment in 25 days and 30 days respectively. They work together for 5 days and then A leaves due to his illness. B 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
Answer
(b) 6A   25
150
5K  30
Work for 5 days = 5X11 = 55
Required days = 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
Answer
(b)    2X    6
12
1Y   12
Required days = 12/3 =4 days
6.Suresh can copy 80 pages in 20 hours, Sun and Purbasa can copy 135 pages in 27 hours. How many pages Purbasa can copy in 20 hours?
(a)
(b) 55
(c) 27
(d) 20
(e) 35
Answer
(d)   4 S

5 SP
Efficiency of P = 5- 4 = 1
Required days = 20X1 =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
Answer
7. (C)  2T
12
1M
Total work = 12X3 = 36
Required days = 36/2 =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) 22
(e) 12
Answer
(b)X complete the work  = 40 days
So, X complete the work in 5 days = 5/40= 1/8
Remaining work = 1-1/8 = 21
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 home work?
(a) m/s
(b) ms/60
(c) 1/ms
(d) 60/ms
(e) s/m
Answer
(c)
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
Answer
(a)Number of days ,when they work together = 1/3+1/6 = 2days
Required number of days = 2X2 = 4 days





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