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Quiz 3
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Q.1
Rosa can eat 32 rosogollas in one hour. Her sister Lila needs three hours to eat the same number. How much time will they take to eat 32 rosogollas together ?
45 minutes
75 minutes
90 minutes
None of these
Q.2
Two spinning machines A and B can together produce 300000 metres of cloth in 10 hours. If machine B alone can produce the same amount of cloth in 15 hours. Then how much cloth can machine A produce alone in 10 hours ?
50000 metres
100000 metres
150000 metres
200000 metres
Q.3
X, Y and Z complete a work in 6 days. X or Y alone can do the same work in 16 days. In how many days Z alone can finish the same work ?
12
16
24
36
Q.4
x does $$\frac{1}{4}$$ of a job in 6 days. y completes rest of the job in 12 days. Then x and y could complete the job together in = ?
$${\text{9 days}}$$
$${\text{8}}\frac{1}{8}{\text{ days}}$$
$${\text{9}}\frac{3}{5}{\text{ days}}$$
$${\text{7}}\frac{1}{3}{\text{ days}}$$
Q.5
Reena, Aastha and Shloka can independently complete a piece of work in 6 hours, 4 hours and 12 hours respectively. If they work together, how much time will they take to complete that piece of work ?
2 hours
5 hours
6 hours
8 hours
Nine of these
Q.6
A can finish a work in 18 days and B can do the same work in half the time take by A. Then, working together, what part of the same work they can finish in a day ?
$$\frac{1}{6}$$
$$\frac{1}{9}$$
$$\frac{2}{5}$$
$$\frac{2}{7}$$
Q.7
In two days A, B and C together can finish $$\frac{1}{2}$$ of a work and in another 2 days B and C together can finish $$\frac{3}{{10}}$$ part of the work. Then A alone can complete the whole work in ?
15 days
10 days
12 days
14 days
Q.8
Amit and Sumit can plough a field in 4 days. Sumit alone can plough the field in 6 days. In how many days will Amit alone plough the feild ?
10 days
12 days
14 days
15 days
Q.9
P can complete $$\frac{1}{4}$$ of a work in 10 days, Q can complete 40% of the same work in 145 days. R, complete $$\frac{1}{3}$$ of the work in 13 days and S, $$\frac{1}{6}$$ of the work in 7 days. Who will be able complete the work first ?
P
Q
R
S
Q.10
George takes 8 hours to copy a 50-page manuscript while Sonia can copy the same manuscript in 6 hours. How many hours would it take them to copy a 100-page manuscript, if they work together ?
$$6\frac{6}{7}\,\,{\text{hours}}$$
$${\text{9 hours}}$$
$$9\frac{5}{7}\,\,{\text{hours}}$$
$${\text{14 hours}}$$
Q.11
A can complete a certain work in 4 minutes, B in 5 minutes, C in 6 minutes, D in 10 minutes and E in 12 minutes. The average number of units of work completed by them per minute will be = ?
0.16
0.40
0.80
None of these
Q.12
A daily-wages labourer was engaged for a certain number of days for Rs. 5750, but being absent on some of those days he paid only Rs. 5000. What were his maximum possible daily wages ?
Rs. 125
Rs. 250
Rs. 375
Rs. 500
Q.13
A and B together can do a piece of work in 8 days, B and C together in 10 days, while C and A together in 6 days, if they all work together the work will be completed in ?
$${\text{3}}\frac{3}{4}\,{\text{days}}$$
$${\text{3}}\frac{3}{7}\,{\text{days}}$$
$${\text{5}}\frac{5}{{47}}\,{\text{days}}$$
$${\text{4}}\frac{4}{9}\,{\text{days}}$$
Q.14
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
$$13\frac{1}{3}$$ days
15 days
20 days
26 days
Q.15
A and B can do a job together in 7 days. A is $$1\frac{3}{4}$$ times as efficient as B. The same job can be done by A alone in :
$$9\frac{1}{3}$$ days
11 days
$$12\frac{1}{4}$$ days
$$16\frac{1}{3}$$ days
Q.16
A and B together complete a piece of work in T days. If A alone completes the work in T + 3 days and B alone completes the piece of work in T + 12 days, what is T ?
3 days
9 days
12 days
Cannot be determined
None of these
Q.17
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
7 hours 30 minutes
8 hours
8 hours 15 minutes
8 hours 25 minutes
Q.18
A and B together can complete a piece of work in 8 days, B alone can complete that work in 12 days. B alone worked for four days. After that how long will A alone takes to complete the work ?
15 days
18 days
16 days
20 days
Q.19
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
30 days
40 days
60 days
70 days
Q.20
A can finish a piece of work in 18 days and B can do the same work in half of the time taken by A. Then working together what part of the same work they can finish in a day ?
$$\frac{1}{6}$$
$$\frac{2}{5}$$
$$\frac{1}{9}$$
$$\frac{2}{7}$$
Q.21
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
$$\frac{1}{{24}}$$ day
$$\frac{7}{{24}}$$ day
$$3\frac{3}{7}$$ days
4 days
Q.22
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
15
16
18
25
Q.23
A and B completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work?
10 days
20 days
25 days
15 days
24 days
Q.24
40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?
6 days
8 days
10 days
12 days
Q.25
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
18 days
24 days
30 days
36 days
Q.26
A and B can do a piece of work in 72 days, B and C can do it in 120 days and A and C can do it in 90 days. In how many days all three together can do the work ?
80 days
100 days
60 days
150 days
Q.27
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
4 days
6 days
8 days
12 days
Q.28
A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
8 days
10 days
12 days
15 days
Q.29
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
40
50
54
60
None of these
Q.30
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
$$5\frac{5}{{11}}$$
$$5\frac{6}{{11}}$$
$$6\frac{5}{{11}}$$
$$6\frac{6}{{11}}$$
None of these
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