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Basic Mathematics

6  8 Questions
 
Applied Mathematics

8  10 Questions
 
Engineering Mathematics

8  10 Questions

Ques. Population of a village is eight thousand. If 6% men and 10% women are added, population
becomes 8,600, then the number of men in the village was:
Op 1: 4800
Op 2: 5000
Op 3: 5060
Op 4: 6000
Op 5:
Correct Op : 2
Ques. If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen
and 2 cows eat the same grass?
Op 1: 40
Op 2: 60
Op 3: 100
Op 4: 160
Op 5:
Correct Op : 4
Ques. At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the
party, the ratio became 1 : 3. How many people were initially present in the party?
Op 1: 12
Op 2: 15
Op 3: 18
Op 4: 24
Op 5:
Correct Op : 1
Ques. How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of
concentrated acid to get a 30 L solution of 78% concentrated acid?
Op 1: 24 L
Op 2: 22.5 L
Op 3: 6 L
Op 4: 17.5 L
Op 5:
Correct Op : 3
Ques. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the
mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Op 1: Rs. 169.50
Op 2: Rs. 170
Op 3: Rs. 175.50
Op 4: Rs. 180
Op 5:
Correct Op : 3
Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are
drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was
contained by the can initially ?
Op 1: 10
Op 2: 20
Op 3: 21
Op 4: 25
Op 5:
Correct Op : 3
Ques. 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 ?
Op 1: 10
Op 2: 13
Op 3: 14
Op 4: 15
Op 5:
Correct Op : 2
Ques. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
Op 1: 1
Op 2: 7/2
Op 3: 7
Op 4: 49
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 6 days
Op 2: 4 days
Op 3: 3 days
Op 4: 12 days
Op 5:
Correct Op : 3
Ques. 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 ?
Op 1: 7 hours 30 minutes
Op 2: 8 hours
Op 3: 8 hours 15 minutes
Op 4: 8 hours 25 minutes
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 5 days
Op 2: 47/6 days
Op 3: 10 days
Op 4: 47/3 days
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 28/3 days
Op 2: 11 days
Op 3: 49/4 days
Op 4: 49/3 days
Op 5:
Correct Op : 2
Ques. 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:
Op 1: 8 days
Op 2: 10 days
Op 3: 12 days
Op 4: 15 days
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 15 days
Op 2: 16 days
Op 3: 25 days
Op 4: 50 days
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 81 min
Op 2: 108 min
Op 3: 144 min
Op 4: 192 min
Op 5:
Correct Op : 3
Ques. 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 ?
Op 1: 15 min
Op 2: 20 min
Op 3: 27.5 min
Op 4: 30 min
Op 5:
Correct Op : 4
Ques. 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:
Op 1: 6 hrs.
Op 2: 20/3 hrs
Op 3: 7 hrs
Op 4: 15/2 hrs
Op 5:
Correct Op : 3
Ques. 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:
Op 1: 60 gallons
Op 2: 100 gallons
Op 3: 120 gallons
Op 4: 180 gallons
Op 5:
Correct Op : 3
Ques. 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?
Op 1: 12
Op 2: 17
Op 3: 16
Op 4: 15
Op 5:
Correct Op : 1
Ques. 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?
Op 1: 7 hours
Op 2: 6 hours
Op 3: 5 hours
Op 4: 4 hours
Op 5:
Correct Op : 2
Ques. If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:
Op 1: 10 days
Op 2: 8 days
Op 3: 5 days
Op 4: 2 days
Op 5:
Correct Op : 3
Ques. 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?
Op 1: 5.67 min
Op 2: 6.25 min
Op 3: 5 min
Op 4: 45/7 min
Op 5:
Correct Op : 4
Ques. 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:
Op 1: 30 min
Op 2: 35 min
Op 3: 28 min
Op 4: 42 min
Op 5:
Correct Op : 3
Ques. 49 pumps can empty a reservoir in 61⁄2 days, working 8 hours a day. If 196 pumps are used for 5
hours a day, then the same work will be completed in:
Op 1: 2.6 days
Op 2: 3 days
Op 3: 2.5 days
Op 4: 2 days
Op 5:
Correct Op : 1
Ques. 16 men complete onefourth of a piece of work in 12 days. What is the additional number of men
required to complete the work in 12 more days ?
Op 1: 48
Op 2: 36
Op 3: 30
Op 4: 16
Op 5:
Correct Op : 4
Ques. 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:
Op 1: 30 days
Op 2: 40 days
Op 3: 50 days
Op 4: 60 days
Op 5: None of these
Correct Op : 1
Ques. 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:
Op 1: 21 hours
Op 2: 22 hours
Op 3: 23 hours
Op 4: 24 hours
Op 5: None of these
Ques. 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)
Op 1: 42
Op 2: 36
Op 3: 90
Op 4: 100
Op 5:
Correct Op : 2
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