6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a + b = 1, then $a^{4} + b^{4} - a^{3} - b^{3} - 2 a^{2} b^{2} + ab$ is equal to

A) 1	B) 2
C) 4	D) 0

Answer & Explanation Answer: D) 0

Explanation:

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Filed Under: Simplification
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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:

Ages of Lalu and Balu are in the ratio of 1 : 2. After 7 years their ages ratio changes to 3 : 5. The elder person age is

A) 32	B) 24
C) 20	D) 28

Answer & Explanation Answer: D) 28

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Filed Under: Problems on Ages
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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
Exam Prep: Bank Exams

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Q:

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

A) 20°	B) 30°
C) 50°	D) 70°

Answer & Explanation Answer: D) 70°

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

There are a total of 200 students in a school, of which 7/10th are boys. Find the number of girls in the school.

A) 80	B) 60
C) 40	D) 120

Answer & Explanation Answer: B) 60

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Filed Under: Average
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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:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

A) 160	B) 150
C) 130	D) 175

Quantitative Aptitude - Arithmetic Ability Questions

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