# Amcat Sample Papers

A man sells two houses at the rate of Rs. 1.995 lakh each. On one he gains 5% and on the other, he loses 5%. What is his gain or loss percent in the whole transaction?
1. 0.25%
2. 0.3%
3. 0.4%
4. 0.5%

John purchased a machine for Rs. 80,000. After spending Rs. 5000 on repair and Rs. 1000 on transport he sold it with 25% profit. What price did he sell the machine?
1. Rs. 107000.
2. Rs. 107500.
3. Rs. 108500.
4. None of these

By selling an item for Rs. 15, a trader loses one sixteenth of what it costs him. The cost price of the item is
1. Rs. 14
2. Rs. 15
3. Rs. 16
4. Rs. 17

How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once?
1. 720
2. 24
3. None of these
4. 120

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

In how many different ways can the letters of the word 'RUMOUR' be arranged?
1. None of these
2. 128
3. 360
4. 180

(23341379 × 72) = ?
1. 1680579288
2. 1223441288
3. 2142579288
4. 2142339288

If the number 5*2 is divisible by 6, then * = ?
1. 2
2. 7
3. 3
4. 6

(1-1/n)+(1-2/n)+(1-3/n)+? (up to n terms) = ?
1. (n-1)
2. n/2
3. 1/2(n-1)
4. 1/2(n+1)

The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
1. 16 cm
2. 18 cm
3. 14 cm
4. 20 cm

What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
1. 814
2. 802
3. 836
4. 900

The diagonal of the floor of a rectangular room is 7 1/2 feet. The shorter side of the room is 4 1/2 feet. What is the area of the room?
1. 27 square feet
2. 22 square feet
3. 24 square feet
4. 20 square feet

The product of two 2 digit numbers is 2028 and their HCF is 13. What are the numbers ?
1. 26, 78
2. 39, 52
3. 13, 156
4. 36, 68

The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?
1. 4
2. 3
3. 2
4. 1

A vessel is filled with liquid, 3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
1. 1/3
2. 1/4
3. 1/5
4. 1/6

In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre?
1. 1 : 3
2. 2 : 2
3. 1 : 2
4. 3 : 1

A vessel is filled with liquid, 3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
1. 1/3
2. 1/4
3. 1/5
4. 1/6

In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre?
1. 1 : 3
2. 2 : 2
3. 1 : 2
4. 3 : 1

5 coins are tossed together. What is the probability of getting exactly 2 heads?
1. 1/2
2. 5/16
3. 4/11
4. 7/16

What is the probability of drawing a "Queen" from a deck of 52 cards?
1. 1/2
2. 1/13
3. 1/6
4. 1/3

A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
1. 60
2. 50
3. 40
4. 30

A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days
1. 5 5/11
2. 4 5/11
3. 6 4/11
4. 6 5/11

Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 metres, in what time (in seconds) will they cross each other when travelling in opposite direction?
1. 10
2. 25
3. 12
4. 20

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

A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27 . How old is B?
1. 10
2. 9
3. 7
4. 7

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