Amcat-Q1: 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?
Ans. 29
Amcat-Q2: 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 :
Ans. Probability of picking red shirt is 3/12. Hence 3/12*3/12*3/12=1/64
Amcat-Q3: 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:
Ans. 1632
Amcat-Q4: The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.
(1) Rs. 1100
(2) Rs. 200
(3) Rs. 2200
(4) Data inadequate
Answer : 3) Rs. 2200
Amcat-Q5: Express 4.33333 in p/q form
Answer: 4.33333 can be written as
4+(1/3) since 1/3=.33333
so the answer is 13/3
Amcat-Q6: 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 isA. 50 sec
B. 58 sec
C. 24 sec
D. 22 sec
Answer: C
Amcat-Q7: 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 ?
A. 42
B. 50
C. 28
D. 30
Answer: D
Amcat-Q8: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is
A. Rs. 96.25
B. Rs. 96.2
C. Rs. 97.25
D. Rs. 97.5
Answer: B
Amcat-Q9: 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:
A. 31 : 44
B. 35 : 44
C. 16 : 15
D. 31 : 27
Answer : B
Amcat-Q10: Which pair of rational numbers lie between 1/5 and 2/5 –
A) 262/1000, 275/1000
B) 362/1000, 562/1000
C) 451/1000, 552/1000
D) 121/1000,131/1000
Answer : A
Amcat-Q11: 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:
A. Rs. 124.75
B. Rs. 108.25
C. Rs. 125.25
D. Rs. 112.20
Answer: A
Amcat-Q12: What is the value of 100P2 ?
A. 9801
B. 12000
C. 5600
D. 9900
Answer : D
Amcat-Q13: 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:
A. 144 min
B. 180 min.
C. 126 min
D. 114 min
Answer : B
Amcat-Q14: 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?
A. 4010 liter
B. 2220 liter
C. 1920 liter
D. 2020 liter
Answer : C
Amcat-Q15: 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?
A. 4.8 hr
B. 2.4 hr
C. 3.6 hr
D. 1.8 hr
Answer : A
Ans. 29
Amcat-Q2: 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 :
Ans. Probability of picking red shirt is 3/12. Hence 3/12*3/12*3/12=1/64
Amcat-Q3: 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:
Ans. 1632
Amcat-Q4: The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.
(1) Rs. 1100
(2) Rs. 200
(3) Rs. 2200
(4) Data inadequate
Answer : 3) Rs. 2200
Amcat-Q5: Express 4.33333 in p/q form
Answer: 4.33333 can be written as
4+(1/3) since 1/3=.33333
so the answer is 13/3
Amcat-Q6: 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 isA. 50 sec
B. 58 sec
C. 24 sec
D. 22 sec
Answer: C
Amcat-Q7: 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 ?
A. 42
B. 50
C. 28
D. 30
Answer: D
Amcat-Q8: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is
A. Rs. 96.25
B. Rs. 96.2
C. Rs. 97.25
D. Rs. 97.5
Answer: B
Amcat-Q9: 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:
A. 31 : 44
B. 35 : 44
C. 16 : 15
D. 31 : 27
Answer : B
Amcat-Q10: Which pair of rational numbers lie between 1/5 and 2/5 –
A) 262/1000, 275/1000
B) 362/1000, 562/1000
C) 451/1000, 552/1000
D) 121/1000,131/1000
Answer : A
Amcat-Q11: 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:
A. Rs. 124.75
B. Rs. 108.25
C. Rs. 125.25
D. Rs. 112.20
Answer: A
Amcat-Q12: What is the value of 100P2 ?
A. 9801
B. 12000
C. 5600
D. 9900
Answer : D
Amcat-Q13: 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:
A. 144 min
B. 180 min.
C. 126 min
D. 114 min
Answer : B
Amcat-Q14: 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?
A. 4010 liter
B. 2220 liter
C. 1920 liter
D. 2020 liter
Answer : C
Amcat-Q15: 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?
A. 4.8 hr
B. 2.4 hr
C. 3.6 hr
D. 1.8 hr
Answer : A