6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a Kite _____.

A) One diagonal bisects the other	B) Both diagonals form two congruent triangles
C) Adjacent angles are supplementary	D) Opposite sides are parallel

Answer & Explanation Answer: A) One diagonal bisects the other

Explanation:

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Filed Under: Area
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Q:

Which of the following equations has the sum of its roots as 11?

A) x2 - 11x + 18 = 0	B) x2 - 7x + 10 = 0
C) x2 + 2x - 26 = 0	D) x2 + 5x - 6 = 0

Answer & Explanation Answer: A) x2 - 11x + 18 = 0

Explanation:

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Filed Under: Simplification
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Q:

What is the equation of the line whose y-intercept is 3/4 and making an angle of 45° with the positive x-axis?

A) 4x - 4y = 3	B) 4x - 4y = -3
C) 3x - 3y = 4	D) 3x - 3y = -4

Answer & Explanation Answer: A) 4x - 4y = 3

Explanation:

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Filed Under: Simplification
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Q:

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

A) 3000	B) 1500
C) 1750	D) 2000

Answer & Explanation Answer: D) 2000

Explanation:

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Filed Under: Profit and Loss
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Q:

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

A) Rs. 175	B) Rs. 200
C) Rs. 250	D) Rs. 150

Answer & Explanation Answer: A) Rs. 175

Explanation:

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Filed Under: Profit and Loss
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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 cube to that of the cylinder ?

A) 4 : 3	B) 21 : 16
C) 14 : 11	D) 45 : 32

Answer & Explanation Answer: C) 14 : 11

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)

\frac{Vcube}{Vcylinder} = \frac{a^{3}}{{πr}_{2}^{2} h} = 14 / 11

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Filed Under: Volume and Surface Area
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Q:

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?

A) 15	B) 11
C) 17	D) 13

Answer & Explanation Answer: B) 11

Explanation:

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Filed Under: Problems on Numbers
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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

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