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AMCAT Aptitude Page: 7
41494.In a town the population grows at a simple rate of 10% in a decade and compounds from decade to decade. Find the population at the beginning of the 1970s if the population at the beginning of the 1990s is 3,63,000 people.
30,000
3,00,000
30,00,000
3,15,000
41495.In approximately how many years will a certain sum of money triple itself at 22% simple interest?
10 years
11 years
9 years
12 years
41496.3
A man rows a boat at a speed of 5 km/hr in still water. Find the speed of a river if it takes him 1 hr to row a boat to a place 2.4 km away and return back.
1 km/hr
6 km/hr
3 km/hr
4 km/hr
41497.A boat covers 40 km upstream and 90 km downstream in 5 hr. It can also cover 60 km upstream and 60 km downstream in 5 hr. The speed of the water current is
4 km/hr
5 km/hr
20 km/hr
25 km/hr
41498.Two champion swimmers start a two-length swimming race at the same time, but from opposite ends of the pool. They swim at constant but different speeds. They first pass at a point 18.5 m from the deep end. Having completed one length, each swimmer take
90 m
45 m
26.5m
Data insufficient
41499.A and B start together from the same point on a circular track and walk in the same direction till they both again arrive together at the starting point. A completes one circle in 224 s and B in 364 s. How many times will A have passed B?
4
5
6
7
41500.36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
12
18
22
24
None of these
41501.39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work ?
10
13
14
15
41502.If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
1
7/2
7
49
41503.Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in:
6 days
4 days
3 days
12 days
41504.Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan 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
41505.A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in:
5 days
47/6 days
10 days
47/3 days
41506.A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can be done by A alone in:
28/3 days
11 days
49/4 days
49/3 days
41507.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
41508.A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days A left. Then B and C together completed the work in 10 more days. A alone could complete the work in:
15 days
16 days
25 days
50 days
41509.One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
81 min
108 min
144 min
192 min
41510.A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
15 min
20 min
27.5 min
30 min
41511.Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
6 hrs.
20/3 hrs
7 hrs
15/2 hrs
41512.Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
60 gallons
100 gallons
120 gallons
180 gallons
41513.Ram and Shyam together do a work in 8 days. Both of them began to work. After 3 days Ram fell ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the whole work?
12
17
16
15
41514.Two workers A and B were employed for a work. A takes 8 hour more than the time taken by A and B together. If B takes 4.5 hours more than the time taken by A and B together, how long would A and B take together to complete the work?
7 hours
6 hours
5 hours
4 hours
41515.If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:
10 days
8 days
5 days
2 days
41516.Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened alternatively for a minute, in what time will the cistern be filled?
5.67 min
6.25 min
5 min
45/7 min
41517.Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can empty it in 42 min. If all the three taps are opened, the time taken to fill the cistern is:
30 min
35 min
28 min
42 min
41518.49 pumps can empty a reservoir in 6½ days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in:
2.6 days
3 days
2.5 days
2 days
41519.16 men complete one-fourth of a piece of work in 12 days. What is the additional number of men required to complete the work in 12 more days ?
48
36
30
16
41520.A takes thrice as long to do a piece of work, as B takes. A and B together can do a piece of work in 7.5 days. A alone can do in:
30 days
40 days
50 days
60 days
None of these
41521.A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
21 hours
22 hours
23 hours
24 hours
None of these
41522.A locomotive engine, without any wagons
attached to it, can go at a speed of 40 km/hr. Its speed is diminished by a quantity that varies proportionally as the square root of the number of wagons attached. With 16 wagons, its speed is 28 km/hr. The
99
100
101
120
41523.If 33 untrained labourers can do a work in 15 days of 12 hr. each, how many trained labourers can do 50% more work in 11 days of 9 hr each ? (It may be assumed that it takes 2 trained labourers to do the work of 5 untrained labourers)
42
36
90
100
41524.Which of the following fractions is less than 7/8 and greater than 1/3 ?
1/4
23/24
11/12
11/24
41525.892.7 - 573.07 - 95.007 = ?
224.623
224.777
233.523
414.637
41526.Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
1/8
3/4
3/8
2/5
41527.Find the value of X :
0.009/X = 0.01
0.0009
0.09
0.9
9
41528.The least among the following is:
0.2
1/0.2
0.22222222
(0.2)2
41529.In the following expression, there are two missing digits: * and #. Find the value of *.
1*5#4 / 148 = 78
1
4
6
8
None of these
41530.What is the value of (-5)(4)(2)(-1/2)(3/4) ?
-30
-15
15
30
41531.If x * y = x2 + y2 - xy, then the value of 9 * 11 is:
93
103
113
121
41532.If a = 0.1039, then the value of (4a2 - 4a + 1)1/2 + 3a is:
0.1039
0.2078
1.1039
2.1039
41533.If a, b, c, d, e are five consecutive odd numbers, their average is:
5 (a + 4)
(abcde/5)
5 (a + b + c + d + e)
None of these
41534.(x % of 932) + 30 = 309.6
Find x.
25
30
35
40
41535.Which of the following multipliers will cause a number to be increased by 29.7% ?
1.297
12.97
129.7
1297
41536.If 2A = 3B and 4B = 5C, then A: C is:
4 : 3
8 : 15
15 : 8
3 : 4
41537.0.4777 . . . is the recurring decimal for the fraction:
4777/100000
477/100
437/1000
43/90
41538.0.8888 ÷ 0.011 is equal to:
8.08
80.8
0.808
None of these
41539.The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:
-7/10, 2/-3, 5/-8
-7/10, 5/-8, 2/-3
5/-8, -7/10, 2/-3
2/-3, 5/-8, -7/10
41540.If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
-3
-1
1
3
41541.(1 + 3 + 5 + … + 3983) / 1992 = ?
1988
1992
1990
None of these
41542.Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
20pq
30pq
40pq
50p2q2
41543.(1.0816) 1/2= ?
0.14
1.4
1.004
1.04
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