Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 10x/3 + 5/2(2 - x/3) = 7/2, then the value of x is?

A) 3/5 B) -5/3
C) 5/3 D)  -3/5
 
Answer & Explanation Answer: D)  -3/5

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Filed Under: Simplification
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Q:

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

A) 30√5 : 100 B) 32√5 : 100
C) 36√5 : 100 D) 42√5 : 100
 
Answer & Explanation Answer: C) 36√5 : 100

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Filed Under: Area
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Q:

What is the average of all numbers between 11 and 80 which are divisible by 6?

A) 46 B) 47
C) 44 D) 45
 
Answer & Explanation Answer: D) 45

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Filed Under: Average
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Q:

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A) 34650 B) 61600
C) 36960 D) 62370
 
Answer & Explanation Answer: D) 62370

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Filed Under: Volume and Surface Area
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Q:

Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?

A) 1800 B) 2400
C) 1600 D) 2200
 
Answer & Explanation Answer: C) 1600

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Filed Under: Time and Work
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Q:

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

A) 5 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

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Filed Under: Pipes and Cistern
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Q:

The cross­section of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take π = 22/7)

A) 1760 cubic metres B) 1650 cubic metres
C) 1056 cubic metres D) 880 cubic metres
 
Answer & Explanation Answer: D) 880 cubic metres

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Filed Under: Area
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Q:

At what point does the line 3x + 2y = 12 cuts the Y-axis?

A) (0, 6) B) (0, -6)
C) (6, 0) D) (-6, 0)
 
Answer & Explanation Answer: A) (0, 6)

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