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**AMCAT**

**AMCAT**

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### AMCAT Quants All Questions List

Ques. The probability of occurrence of event A is 0.3 and that of event B is 0.4. The events are independent. What is the probability of occurrence of both A and B?

Op 1: 0.7

Op 2: 0.1

Op 3: 0.12

Op 4: Cannot be determined

Op 5:

Correct Op : 3

Ques. The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually exclusive. What is the probability of occurrence of both A and B?

Op 1: 0.1

Op 2: 0

Op 3: 1

Op 4: Cannot be determined

Op 5:

Correct Op : 2

Ques. The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually exclusive. What is the probability of occurrence of either X or Y?

Op 1: 0.85

Op 2: 0.75

Op 3: 0

Op 4: Cannot be determined

Op 5:

Correct Op : 1

Ques. 10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the vo

Op 1: 25000

Op 2: 33000

Op 3: 35000

Op 4: 40000

Op 5:

Correct Op : 1

Ques. A, B, C started a business with their investments in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is:

Op 1: 4:3:5

Op 2: 5:6:10

Op 3: 6:5:10

Op 4: 10:5:6

Op 5:

Correct Op : 2

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. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?

Op 1: Rs 4

Op 2: Rs 5

Op 3: Rs 6

Op 4: Rs 7

Op 5:

Correct Op : 3

Ques. Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot

Op 1: Rs.12.50

Op 2: Rs. 13.50

Op 3: Rs. 14.50

Op 4: Rs. 15.50

Op 5: None of these

Correct Op : 2

Ques. The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. It costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The numb

Op 1: 200

Op 2: 250

Op 3: 300

Op 4: 400

Op 5:

Correct Op : 1

Ques. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:

Op 1: Rs. 110

Op 2: Rs.120

Op 3: Rs. 125

Op 4: Rs. 150

Op 5:

Correct Op : 4

Ques. If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:

Op 1: Rs. 50

Op 2: Rs. 160

Op 3: Rs. 200

Op 4: Rs. 225

Op 5:

Correct Op : 3

Ques. Consider the following statements : If a sum of money is lent at simple interest, then the

1.Money gets doubled in 5 years if the rate of interest is 50/3 %.

2.Money gets doubled in 5 years if the rate of interest is 20%.

3.Money becomes

Op 1: 1 and 3 are correct

Op 2: 2 alone is correct

Op 3: 3 alone is correct

Op 4: 2 and 3 are correct

Op 5:

Correct Op : 2

Ques. The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half-yearly is:

Op 1: Rs. 2.50

Op 2: Rs. 3

Op 3: Rs. 3.75

Op 4: Rs. 4

Op 5: None of these

Correct Op : 2

Ques. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:

Op 1: Rs. 10,000

Op 2: Rs. 20,000

Op 3: Rs. 40,000

Op 4: Rs. 50,000

Op 5:

Correct Op : 2

Ques. The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupee per month is:

Op 1: Rs. 1.20

Op 2: Rs. 1.60

Op 3: Rs. 2.40

Op 4: Rs. 3.60

Op 5:

Correct Op : 1

Ques. If the compound interest on a sum for 2 years at 25/2 % per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is:

Op 1: Rs. 400

Op 2: Rs. 450

Op 3: Rs. 460

Op 4: Rs. 480

Op 5:

Correct Op : 4

Ques. I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling s

Op 1: 4.92 km

Op 2: 13.44 km

Op 3: 14.375 km

Op 4: 15.476 km

Op 5:

Correct Op : 1

Ques. A bag contains 10-paisa, 20-paisa and 25-paisa coins in the ratio 7:4:3. If the total value is Rs. 90, the number of 25-paisa coins in the bag is:

Op 1: 120

Op 2: 160

Op 3: 280

Op 4: 300

Op 5:

Correct Op : 1

Ques. Find a whole number such that when one of its digit is erased, the resulting number is equal to one-ninth of the original number. The resulting number is also a multiple of 9.

Op 1: 90

Op 2: 83438

Op 3: 10125

Op 4: 70847

Op 5:

Correct Op : 3

Ques. A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved 500 m. What is the depth of the ocean?

Op 1: 4 km

Op 2: 8 km

Op 3: 6 km

Op 4: 12 km

Op 5:

Correct Op : 3

Ques. 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.

Op 1: 30,000

Op 2: 3,00,000

Op 3: 30,00,000

Op 4: 3,15,000

Op 5:

Correct Op : 2

Ques. In approximately how many years will a certain sum of money triple itself at 22% simple interest? Op 1: 10 years

Op 2: 11 years

Op 3: 9 years

Op 4: 12 years

Op 5:

Correct Op : 3

Ques. 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.

Op 1: 1 km/hr

Op 2: 6 km/hr

Op 3: 3 km/hr

Op 4: 4 km/hr

Op 5:

Correct Op : 1

Ques. 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

Op 1: 4 km/hr

Op 2: 5 km/hr

Op 3: 20 km/hr

Op 4: 25 km/hr

Op 5:

Correct Op : 2

Ques. 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

Op 1: 90 m

Op 2: 45 m

Op 3: 26.5m

Op 4: Data insufficient

Op 5:

Correct Op : 2

Ques. 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?

Op 1: 4

Op 2: 5

Op 3: 6

Op 4: 7

Op 5:

Correct Op : 2

Ques. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?

Op 1: 12

Op 2: 18

Op 3: 22

Op 4: 24

Op 5: None of these

Correct Op : 4

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 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:

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 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 ?

Op 1: 48

Op 2: 36

Op 3: 30

Op 4: 16

Op 5:

Correct Op : 4

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