# AMCAT Questions Quants Past year Papers 3

### AMCAT Quants All Questions List

Ques. If x = 1+21/2 and y=1-21/2, then x2+y2 is -
Op 1: 2
Op 2: 3
Op 3: 6
Op 4: 0
Op 5:
Correct Op : 3
Ques. If 4x+3 = 2x+7, then the value of x is: Op 1: 3
Op 2: 2
Op 3: 1
Op 4: None of these
Op 5:
Correct Op : 3
Ques. 2x+y = 2*(2)1/2 and 2x-y = 21/2,the value of x is: Op 1: 1
Op 2: 2
Op 3: 3
Op 4: 4
Op 5: None of these
Correct Op : 1
Ques. If x = 8, y = 27, the value of (x4/3+y2/3)1/2 is: Op 1: 5
Op 2: 6
Op 3: 7
Op 4: 8
Op 5: None of these
Correct Op : 1
Ques. If xy = yx and x = 2y, the value of y is: Op 1: 1
Op 2: 2
Op 3: 3
Op 4: 4
Op 5: None of these
Correct Op : 2
Ques. If 2x * 3y = 18 and 22x * 3y= 36, the value of x is: Op 1: 0
Op 2: 1
Op 3: 2
Op 4: 3
Op 5: None of these
Correct Op : 2
Ques. What is the value of 500 ? Op 1: 0
Op 2: 1
Op 3: 50
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is the value of 6-2 ? Op 1: 1/36
Op 2: 36
Op 3: -36
Op 4: None of these
Op 5:
Correct Op : 1
Ques. What is the value of 0-10 ? Op 1: 0
Op 2: 1
Op 3: -10
Op 4: None of these
Op 5:
Correct Op : 4
Ques. What is the value of 251.5 ? Op 1: 325
Op 2: 32.5
Op 3: 125
Op 4: None of these
Op 5:
Correct Op : 3
Ques. What is the value of (0.027)1/3? Op 1: 0.3
Op 2: 0.03
Op 3: 0.003
Op 4: None of these
Op 5:
Correct Op : 1
Ques. What is the value of (0.016)1/4? Op 1: 0.2
Op 2: 0.02
Op 3: 0.002
Op 4: None of these
Op 5:
Correct Op : 4
Ques. Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is:
Op 1: 1 hour
Op 2: 1 hr 12min
Op 3: 1 hr 15 min
Op 4: 1 hr 20 min
Op 5:
Correct Op : 2
Ques. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively ?
Op 1: 2 : 1
Op 2: 3 : 2
Op 3: 8 : 3
Op 4: Cannot be determined
Op 5: None of these
Correct Op : 3
Ques. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Op 1: 21 m
Op 2: 26 m
Op 3: 28 m
Op 4: 29 m
Op 5:
Correct Op : 3
Ques. In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then the family members are:
Op 1: 16
Op 2: 17
Op 3: 18
Op 4: None of these
Op 5:
Correct Op : 2
Ques. The price of sugar is increased by 25%. In order not to increase the expenditure a lady must reduce her consumption by:
Op 1: 25%
Op 2: 20%
Op 3: 30%
Op 4: None of these
Op 5:
Correct Op : 2
Ques. I read 3/8 of a book on one day, and 4/5 of the remainder on another day. If now there were 30 pages unread, the book contains:
Op 1: 240 pages
Op 2: 230 pages
Op 3: 340 pages
Op 4: 140 pages
Op 5: None of these
Correct Op : 1
Ques. In an examination, 70% of students passed in physics, 65% in chemistry, 27% failed in both subjects. The percentage of students who passed is:
Op 1: 66%
Op 2: 62%
Op 3: 69%
Op 4: None of these
Op 5:
Correct Op : 2
Ques. An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an additional gain of 10%. Cost Price of the article is:
Op 1: Rs. 2100
Op 2: Rs. 2200
Op 3: Rs. 2300
Op 4: Rs. 2400
Op 5: None of these
Correct Op : 3
Ques. Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after sometime Mohan sells it back to Rakesh at a loss of 10%, then totally:
Op 1: Rakesh loses Rs. 100
Op 2: Rakesh loses Rs. 1100
Op 3: Rakesh gains Rs. 100
Op 4: Rakesh gains Rs. 1100
Op 5: None of these
Correct Op : 4
Ques. The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:
Op 1: Rs. 229.50
Op 2: Rs.231.50
Op 3: Rs.232.50
Op 4: Rs. 234.50
Op 5: None of these
Correct Op : 1
Ques. The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years, is: Op 1: 5%
Op 2: 4%
Op 3: 6%
Op 4: 7%
Op 5: None of these
Correct Op : 1
Ques. A car is 250 metres behind the bus. The car and bus are moving with speed 60 km/hr and 35 km/hr respectively. The car will be ahead of bus by 250 metres in:
Op 1: 37 seconds
Op 2: 48 seconds
Op 3: 72 seconds
Op 4: 68 seconds
Op 5: None of these
Correct Op : 3
Ques. Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both ways he takes 7 hours and 45 minutes. If Mohan rides both ways the time which he will take will be:
Op 1: 4 hours
Op 2: 19/4 hours
Op 3: 9/2 hours
Op 4: 17/4 hours
Op 5: None of these
Correct Op : 2
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. Prabodh bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of Rs. 9.00 per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get 20% profit?
Op 1: Rs. 9.50
Op 2: Rs. 8.50
Op 3: Rs. 10.50
Op 4: Rs. 12.00
Op 5:
Correct Op : 3
Ques. The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and promised to pay the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound interest. What is the value of each instalment?
Op 1: Rs. 926.10
Op 2: Rs. 903.33
Op 3: Rs. 928.30
Op 4: Rs. 940.50
Op 5:
Correct Op : 1
Ques. The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, what is its present population?
Op 1: 6000
Op 2: 10000/144
Op 3: 6400
Op 4: 7600
Op 5:
Correct Op : 3
Ques. A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50 in 3½ years. What is rate of interest per annum?
Op 1: 7%
Op 2: 6%
Op 3: 9%
Op 4: 5%
Op 5:
Correct Op : 3
Ques. If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:
Op 1: Rs. 86.80
Op 2: Rs. 86.10
Op 3: Rs. 88.65
Op 4: Rs. 81.60
Op 5:
Correct Op : 4
Ques. A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?
Op 1: 30
Op 2: 31.25
Op 3: 31
Op 4: 33
Op 5:

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