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### Aptitude Questions asked in amcat exam 2019 with solution

Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is.
1. 50 sec
2. 58 sec
3. 24 sec
4. 22 sec

Ritu has 3 shirts in shades of red, 4 in yellow shades and 5 in green shades . Three shirts are picked at random . the probability that all of those are in red shades is
1. 1/5
2. 1/64
3. 7/4
4. 8/45

The probability that a student passes Subject A, B or C is 98%. The probability that he or she passes A is 41%, B is 59%. The probability that he or she passes A and C is 25% and B and C is 20%. The probability that he or she passes all the 3 subjects is 14%. What is the probability that he or she passes subject C?
1. 23
2. 65
3. 29
4. 80

Sangeeta invested rs.20,000 at 8 % per annual . if the interest is compounded half yearly , then total interest earned by Sangeeta at the end of the year is:
1. 343
2. 487
3. 1543
4. 1632

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?
1. 8 Hours
2. 7 hours 30 minutes
3. 8 hours 15 minutes
4. 8 hours 25 minutes

Express 4.33333 in p/q form
1. 14/10
2. 13/3
3. 13/1
4. 18/9

The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is
1. Rs. 96.25
2. Rs. 96.2
3. Rs. 97.25
4. Rs. 97.5

How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
1. 42
2. 50
3. 28
4. 30

A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:
1. 31 : 44
2. 35 : 44
3. 16 : 15
4. 31 : 27

Which pair of rational numbers lie between 1/5 and 2/5
1. 262/1000, 275/1000
2. 362/1000, 562/1000
3. 451/1000, 552/1000
4. 121/1000,131/1000

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1⁄4 %, is:
1. Rs. 124.75
2. Rs. 108.25
3. Rs. 125.25
4. Rs. 112.20

What is the value of 100P2 ?
1. 9801
2. 12000
3. 5600
4. 9900

One pipe can fill a tank four 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:
1. 144 min
2. 180 min
3. 126 min
4. 114 min

A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 24 hours. How many liters does the cistern hold?
1. 4010 liter
2. 2220 liter
3. 1920 liter
4. 2020 liter

A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled
1. 4.8 hr
2. 2.4 hr
3. 3.6 hr
4. 1.8 hr

Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 40 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
1. 22 hr
2. 16 hr
3. 28 hr
4. 32 hr

Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
1. 30
2. 45
3. 60
4. 80

How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
1. 720
2. 420
3. 5040
4. None of these

In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
1. 64
2. 120
3. 36
4. None of these

In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
1. 720
2. 420
3. 122
4. None of these

A coin is tossed 3 times. Find out the number of possible outcomes.
1. 1
2. 8
3. 2
4. None of these

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
1. 64
2. 128
3. 32
4. None of these

What is the HCF of 13, 23 and 14 ?
1. 2/3
2. 1/3
3. 1/4
4. 1/12

A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
1. 3 min
2. 4.2 min
3. 3.4 min
4. 5.5 min

Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
1. 2 : 3
2. 2 :1
3. 4 : 3
4. 3 : 2

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