Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cistern has one inlet, L and one inlet, M. L takes 5 hours to fill the empty tank, when M is not open and M takes 8 hours to empty the full tank, if the tank is two fifth full, how much time will it take to fill the tank completely when both L and M are opened simultaneously? (in hours)

A) 5 hours B) 3 hours
C) 6 hours D) 8 hours
 
Answer & Explanation Answer: D) 8 hours

Explanation:
If the tank is 2/5th full, then remaining empty tank will be = 1-2/5=3/5th
L and M can fill the empty tank in = (5*8)/(8-5)=40/3 hours

Then 3/5 th tank fill in =40/3 * 3/5= 8 hours

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

If the edge of a cube is increased by 3 cm, the volume will increase by 657 cub.cm. What then is the original length of each edge of the cube?

A) 9 cm B) 6 cm
C) 8 cm D) 7 cm
 
Answer & Explanation Answer: B) 6 cm

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

18 buckets of water fill a tank when the capacity of each bucket is 8 litres. How many buckets will be needed to fill the same tank, if the capacity of the bucket is 12 litres?

A) 12 B) 13.5
C) 24 D) Data insufficient
 
Answer & Explanation Answer: A) 12

Explanation:

Capacity of tank = (8 X 18) = 144 litres

If the capacity of each bucket = 12 litres

Then, Nunber of buckets needed = 144 / 12 = 12 buckets

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

To travel 612 km, an Express train takes 9 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed (in km/hr) of Rajdhani is

A) 40.8 B) 51
C) 30.6 D) 61.2
 
Answer & Explanation Answer: A) 40.8

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

6 2403
Q:

The average of 41 consecutive odd numbers is 49. What is the largest number.

A) 89 B) 91
C) 93 D) 95
 
Answer & Explanation Answer: A) 89

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.

A) 45 B) 46
C) 44 D) 43
 
Answer & Explanation Answer: A) 45

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A sum of money was invested at the rate of 7.5% S.I. per annum for 4 years. If the investment was for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

A) Rs. 4750 B) Rs. 5000
C) Rs. 4500 D) Rs. 3750
 
Answer & Explanation Answer: B) Rs. 5000

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?

A) 24 B) 20
C) 12 D) 15
 
Answer & Explanation Answer: B) 20

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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