6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x stands for addition, / stands for subtraction, + stands for multiplication and - stands for division, then what is the value of 20 x 8 / 8 - 4 + 2 ?

A) 24	B) 1
C) 20	D) 0

Answer & Explanation Answer: A) 24

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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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:

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 =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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Filed Under: Volume and Surface Area
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Q:

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A) 150°	B) 120°
C) 100°	D) 90°

Answer & Explanation Answer: B) 120°

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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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Filed Under: Average
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Q:

What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

A) x + y = 4	B) x + y = 2
C) x - y = 4	D) x - y = 2

Answer & Explanation Answer: A) x + y = 4

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Filed Under: Simplification
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Q:

The lengths of the two diagonals of a rhombus are 8 cm and 15 cm respectively. Find its area (in cm²).

A) 30	B) 120
C) 90	D) 60

Answer & Explanation Answer: D) 60

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Filed Under: Area
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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

Quantitative Aptitude - Arithmetic Ability Questions

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