6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Explanation:

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Filed Under: Ratios and Proportions
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Q:

If a + b = 10 and ab = 24, then the value of $a^{3} + b^{3}$ is

A) 280	B) 370
C) 520	D) 730

Answer & Explanation Answer: A) 280

Explanation:

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Filed Under: Simplification
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Q:

If tanA + tanB = X, then the value of X is

A) (tanA - tanB)/(1 + tanAtanB)	B) (tanA + tanB)/(1 - tanAtanB)
C) (tanA + tanB)/(1 + tanAtanB)	D) (tanA - tanB)/(1 - tanAtanB)

Answer & Explanation Answer: B) (tanA + tanB)/(1 - tanAtanB)

Explanation:

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Q:

The amount (in Rs) received at 10% per annum compound interest after 3 yrs is Rs 1,19,790. What was the principal?

A) 90000	B) 1,00,000
C) 80000	D) 75000

Answer & Explanation Answer: A) 90000

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Filed Under: Compound Interest
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Q:

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A) 37°	B) 41°
C) 42°	D) 49°

Answer & Explanation Answer: B) 41°

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Filed Under: Volume and Surface Area
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Q:

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A) 6 cm and 12 cm	B) 4 cm and 8 cm
C) 3 cm and 6 cm	D) 2 cm and 4 cm

Answer & Explanation Answer: C) 3 cm and 6 cm

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Filed Under: Volume and Surface Area
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Q:

ABCD is a quadrilateral in which BD and AC are diagonals then

A) AB + BC + CD + AD< AC + BD	B) AB + BC + CD + DA>AC + BD
C) AB + BC + CD + DA=AC + BD	D) AB + BC + CD + DA>2(AC + BD)

Answer & Explanation Answer: B) AB + BC + CD + DA>AC + BD

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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}

Quantitative Aptitude - Arithmetic Ability Questions

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