Aptitude and Reasoning 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
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Q:

Ages of Lalu and Balu are in the ratio of 1 : 2. After 7 years their ages ratio changes to 3 : 5. The elder person age is

A) 32 B) 24
C) 20 D) 28
 
Answer & Explanation Answer: D) 28

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Filed Under: Problems on Ages
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Q:

Factors of 36 - 

A) 72 B) 108
C) 144 D) 18
 
Answer & Explanation Answer: D) 18

Explanation:

From the given options, 

72, 108, 144 are multiples of 36.

18 is the only factor of 36.

 

Factors of 36 are -  1, 2, 3, 4, 6, 9, 12, 18.

 

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Filed Under: Problems on Numbers
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Q:

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

 

A) 2:1 B) 1:2
C) 3:1 D) 1:3
 
Answer & Explanation Answer: C) 3:1

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Filed Under: Ratios and Proportions
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Q:

The largest 5 digit number exactly divisible by 84 is:

A) 99960 B) 99955
C) 99952 D) 99956
 
Answer & Explanation Answer: A) 99960

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Filed Under: Problems on Numbers
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Q:

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

A) π4 B) π2-1
C) π5 D) √2 - 1
 
Answer & Explanation Answer: B) π2-1

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Filed Under: Area
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Q:

At what point does the line 2x + 5y = -6 cuts the X-axis?

A) (3, 0) B) (0, 3)
C) (-3, 0) D) (0, -3)
 
Answer & Explanation Answer: C) (-3, 0)

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Filed Under: Simplification
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Q:

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

A) 12 B) 20
C) 24 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Area
Exam Prep: Bank Exams

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