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Quadratic Equations

Aptitude: Miscellaneous Questions for SBI & Upcoming Bank Exams

Q.1 A sum of Rs.725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs.362.50 more is lent but at the rate twice the former. At the end of the year, Rs.33.50 is earned as interest from both the loans. What was the original rate of interest?
1. 3.6%
2. 4.5%
3. 5%
4. 3.46%
5. 2.5%

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Q.2 Ajitesh and Piyush undertake to complete a piece of work for Rupees 48000. Ajitesh can do it in 8 days, Piyush can do it in 12 days and with the help of Aryan they complete the work in 4 days. Find the share of Aryan?
1. 4000
2. 8000
3. 12000
4. 16000
5. None of these

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Q.3 The average monthly expenditure of Mr. Tahir’s family for the first three months is Rs.2,750, for the next three months is Rs.2,940 and for the last three months Rs.3,150. If his family saves Rs.4980 for nine months, find the average monthly income of the family for the 9 months?
1. Rs.3800
2. Rs.3500
3. Rs.3400
4. Rs.4200
5. Rs.4500

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Q.4 Ritwik’s father was 30 years old when he was born. His mother’s age was 24 when his sister who is 5 years younger to him, was born. What is the difference between the age of Ritwik’s father and mother?
1. 8
2. 10
3. 6
4. 11

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Q.5 Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
1. 58 seconds
2. 50 seconds
3. 48 seconds
4. 56 seconds
5. None of these

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Q.6 A bus covers a distance of 564 km at a certain speed in 12 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the bus to cover a distance which is 21 km more than that travelled by the bus ?
1. 6 hours
2. 9 hours
3. 7 hours
4. 8 hours
5. 7.5 hours

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Q.7 Three pipes P, Q, and R can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. After 2 hours, tap R is closed and P and Q are kept running. After the 4th hour, tap Q is also closed. The remaining work is done by tap P alone. What is the percentage of the work done by tap P alone?
1. 30%
2. 35%
3. 45%
4. 50%
5. None of these

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Q.8 Three containers A, B and C are having mixtures of milk and water in the ratio 1 : 5, 3 : 5 and 5 : 7, respectively. If the capacities of the containers are in the ratio 5 : 4 : 5, then find the ratio of the milk to the water if the mixtures of all the three containers are mixed together.
1. 51 : 115
2. 52 : 115
3. 53 : 115
4. 54 : 115
5. None of these

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Q.9 A sum of Rs 18000 is borrowed at 12% pa compounded annually and is paid back in 3 equal annual instalments. What is amount of each instalment? (Approximately)
1. Rs 6800

2. Rs 7500

3. Rs 8290

4. Rs 7990

5. Rs 8750

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Q.10 In a certain office 45 workers prefer tea, 62 workers prefer coffee and 53 workers prefer cold drinks. 35 workers prefer tea and coffee, 42 workers prefer coffee and cold drinks and 25 workers prefer tea and cold drinks. 16 workers prefer all the drinks. Then the number of workers who prefer only one of the drinks is
1. 104

2. 69

3. 86

4. 74

5. None of these

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