Aptitude and Reasoning Questions

Q:

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.

 

A) 4929 cub.cm B) 4939 cub.cm
C) 4932 cub.cm D) 4930 cub.cm
 
Answer & Explanation Answer: B) 4939 cub.cm

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Q:

The average of three numbers is 6. The average of the first two is 5 while the average of the last two is 8. The three numbers are:

A) 2, 6, 10 B) 3, 7, 8
C) 2, 8, 8 D) 2, 7, 9
 
Answer & Explanation Answer: C) 2, 8, 8

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Q:

Find the mean and mode of the numbers 1, 9, 5, 4, 2, 1, 9, 9, 2, 1, 9, 1, 2, 1?

A) 4 & 9 B) 5 & 1
C) 4 & 1 D) 5 & 9
 
Answer & Explanation Answer: C) 4 & 1

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Q:

What is the value of ( 1/√3 + cot60) ?

A) 3√3/2 B) 7/2√3
C) (4+√3)/2√3 D) 2/√3
 
Answer & Explanation Answer: D) 2/√3

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Q:

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

A) x = 4; y = -­8 B) x = ­-3; y = -­8
C) x = 3; y = 8 D) x = ­-3; y = 8
 
Answer & Explanation Answer: A) x = 4; y = -­8

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Q:

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) All dogs are bullocks.
(II) All bullocks are goats.

Conclusion:
(I) All dogs are goats.
(II) All goats are dogs.

 

A) Conclusion I follows B) Conclusion II follows
C) Neither I nor II follows D) Both I and II follows
 
Answer & Explanation Answer: A) Conclusion I follows

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Q:

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A) 5 B) 6
C) 15 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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Q:

Find the perimeter (in cm) of a semicircle of radius 14 cm.

A) 144 B) 46
C) 72 D) 92
 
Answer & Explanation Answer: C) 72

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