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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-fourth as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is

A) 4 : 15 B) 3 : 13
C) 3 : 16 D) 1 : 5
 
Answer & Explanation Answer: B) 3 : 13

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Filed Under: Ratios and Proportions
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Q:

The diagonal of a rhombus is 8m and 6m respectively. Find its area.

A) 48 sq.m B) 24 sq.m
C) 12 sq.m D) 96 sq.m
 
Answer & Explanation Answer: B) 24 sq.m

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Q:

If the shopkeeper sells an item at Rs 1600 which is marked as Rs 2000, then what is the discount he is offering?

A) 25 percent B) 20 percent
C) 30 percent D) 10 percent
 
Answer & Explanation Answer: B) 20 percent

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Filed Under: Percentage
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Q:

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

A) 7/2 B) 7
C) 7√2 D) 14
 
Answer & Explanation Answer: B) 7

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Filed Under: Volume and Surface Area
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Q:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

A) 9 B) 12
C) 1 D) 7
 
Answer & Explanation Answer: A) 9

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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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Q:

2sin[(C+D)/2].sin[(D­-C)/2] is equal to

A) cosC + cosD B) cosC ­- cosD
C) sinC ­- sinD D) sinC + sinD
 
Answer & Explanation Answer: B) cosC ­- cosD

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Filed Under: Simplification
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Q:

What is the value of sec 4π/3?

A) 2 B) -2
C) 2/√3 D) -2/√3
 
Answer & Explanation Answer: B) -2

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