Quantitative Aptitude - Arithmetic Ability Questions

Q:

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

 

A) 16 B) 12
C) 10 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

Wheat costing Rs 30/kg, Rs 35/kg and a third variety of wheat are mixed in the ratio of 3 : 4 : 2. If the mixture is costs Rs 34/kg, then what will be the cost (in Rs/kg) of the third variety of wheat?

 

A) 46 B) 42
C) 32 D) 38
 
Answer & Explanation Answer: D) 38

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

The profit (in Rs.) after selling an article for Rs.524 is the same as the loss (in Rs.) after selling it for Rs.452. The cost price of the article is:

A) Rs.480 B) Rs.485
C) Rs.488 D) Rs.500
 
Answer & Explanation Answer: C) Rs.488

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Q:

Two donkeys are standing 400 meters apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?

A) 60 B) 80
C) 400 D) 40
 
Answer & Explanation Answer: B) 80

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

A) 70 seconds B) 50 seconds
C) 40 seconds D) 30 seconds
 
Answer & Explanation Answer: A) 70 seconds

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7 B) 3.5
C) 5 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

A) 5 B) 8
C) 2 D) -8
 
Answer & Explanation Answer: A) 5

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cotθ = 4, then the value of 5sinθ+3cosθ5sinθ-3cosθ is

A) 1/9 B) 1/3
C) 3 D) 9
 
Answer & Explanation Answer: D) 9

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Filed Under: Simplification
Exam Prep: Bank Exams

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