6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two numbers are 40% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 16.67 percent	B) 20 percent
C) 10 percent	D) 25 percent

Answer & Explanation Answer: B) 20 percent

Explanation:

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Q:

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over taken?

A) 640 metres	B) 800 metres
C) 960 metres	D) 480 metres

Answer & Explanation Answer: B) 800 metres

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Filed Under: Time and Distance
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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:

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:

Two circles touch externally. The sum of their areas is $130 π$ sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm	B) 11 cm
C) 33 cm	D) 44 cm

Answer & Explanation Answer: B) 11 cm

Explanation:

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Filed Under: Volume and Surface Area
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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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Q:

What is the average of 90, 250, 240, 204, and 616?

A) 280	B) 210
C) 230	D) 255

Answer & Explanation Answer: A) 280

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Filed Under: Average
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Q:

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

A) 7 : 4	B) 8 : 5
C) 6 : 5	D) 5 : 3

Quantitative Aptitude - Arithmetic Ability Questions

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