Quantitative Aptitude - Arithmetic Ability Questions

Q:

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

A) 1022.48 cubic cms B) 1533.72 cubic cms
C) 511.24 cubic cms D) 255.62 cubic cms
 
Answer & Explanation Answer: C) 511.24 cubic cms

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Filed Under: Area
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Q:

If secA/√(sec2A ­- 1) = x, then value of x is

A) tanA B) cosecA
C) sinA D) cosA
 
Answer & Explanation Answer: B) cosecA

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Filed Under: Simplification
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Q:

If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is

A) 11 B) 10
C) 12 D) -10
 
Answer & Explanation Answer: B) 10

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Q:

Two students appeared for an examination. One of them secured 26 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

A) 53 and 27 B) 60 and 34
C) 39 and 13 D) 78 and 52
 
Answer & Explanation Answer: C) 39 and 13

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Filed Under: Average
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Q:

A tank can be filled in 30 minutes. There is a leakage which can empty the tank in 90 minutes. Therefore, the tank will be filled in

A) 60 min B) 45 min
C) 55 min D) 50 min
 
Answer & Explanation Answer: B) 45 min

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Filed Under: Pipes and Cistern
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Q:

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

 

A) 10:00   B)  11:00  
C)  11:30   D)  12:30
 
Answer & Explanation Answer: C)  11:30  

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Filed Under: Problems on Trains
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Q:

In the following question, select the missing number from the given series.
 
1912, 2012, 2133, 2277, 2446, ?

A) 2642 B) 2964
C) 2738 D) 2858
 
Answer & Explanation Answer: A) 2642

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Q:

Which of the following is correct?

A) (6x + y)(x - 6y) = 6x^2+ 35xy - 6y^2 B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2
C) (6x + y)(x - 6y) = 6x^2- 37xy - 6y^2 D) (6x + y)(x - 6y) = 6x^2+ 37xy - 6y^2
 
Answer & Explanation Answer: B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2

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