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### Amcat Papers with solution - Aptitude for May 2019

100 oranges were bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. What is the percentage of profit or loss?
1. 11 2/7% loss
2. 11 1/7% profit
3. 14 2/7% profit
4. 14 2/7% loss

A shopkeeper sells one radio for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. What is his total gain or loss percentage?
1. 5%
2. 6%
3. 6 12/17%
4. 5 15/17%

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?
1. 6%
2. 5%
3. 4%
4. 7%

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

In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?
1. None of these
2. 48
3. 32
4. 64

In how many ways can the letters of the word 'LEADER' be arranged?
1. None of these
2. 120
3. 360
4. 720

(719×719+347×347-719×347)(719×719×719+347×347×347)=?
1. 1372
2. 25133
3. 11066
4. 56

If the number 481*673 is completely divisible by 9, what is the the smallest whole number in place of *?
1. 3
2. 7
3. 5
4. 9

If n is a natural number, then (6n2 + 6n) is always divisible by:
1. Both 6 and 12
2. 6 only
3. 12 only
4. None of these

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
1. 37500 m2
2. 30500 m2
3. 32500 m2
4. 40000 m2

A room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?
1. 176
2. 124
3. 224
4. 186

he length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @Rs.26.50 per metre is Rs.5300 , what is the length of the plot in metres?
1. 60 m
2. 100 m
3. 75 m
4. 50 m

The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
1. 41
2. 42
3. 32
4. 37

What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
1. 1286
2. 1436
3. 1216
4. 1386

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per kg?
1. 60 kg
2. 63 kg
3. 58 kg
4. 56 kg

In what ratio should rice at Rs.9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs.10 per kg ?
1. 7 : 8
2. 8 : 7
3. 6 : 7
4. 7 ; 6

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per kg?
1. 60 kg
2. 63 kg
3. 58 kg
4. 56 kg

In what ratio should rice at Rs.9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs.10 per kg ?
1. 7 : 8
2. 8 : 7
3. 6 : 7
4. 7 : 6

John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit?
1. 1/2
2. 1/4
3. 1/3
4. 1/13

There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?
1. 1/40
2. 1/2
3. 21/46
4. 7/42

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
1. 37 ½ days
2. 22 days
3. 31 days
4. 22 days

Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?
1. 3 pm
2. 2 pm
3. 1:00 pm
4. 11 am

Two trains having length of 140 metre and 160 metre long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is
1. 10.8 seconds
2. 12 seconds
3. 9.8 seconds
4. 8 seconds

Two trains are moving in opposite directions with speed of 60 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train is
1. 56 seconds
2. 48 seconds
3. 47 seconds
4. 26 seconds

Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Syam's present age in years?
1. 28
2. 27
3. 26
4. 24

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