6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x = 11, the value of $x^{5} - 12 x^{4} + 12 x^{3} - 12 x^{2} + 12 x - 1$ is

A) 11	B) 10
C) 12	D) -10

Answer & Explanation Answer: B) 10

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A factory buys 10 machines. 1 MachineA, 4 MachineB and rest MachineC. Prices of the machines are Rs 90000, Rs 40000 and Rs 40000 respectively. Calculate the average cost of these machines?

A) 56666.6	B) 68333.3
C) 45000	D) 43500

Answer & Explanation Answer: C) 45000

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Filed Under: Average
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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:

What is the simplified value of (cos A + sin A)(cot A + tan A)?

A) sec A + cosec A	B) sin A + cos A
C) tan A + cot A	D) sec A – cosec A

Answer & Explanation Answer: A) sec A + cosec A

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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:

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

A) 11 cm	B) 8 cm
C) 9 cm	D) 10 cm

Answer & Explanation Answer: A) 11 cm

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If $y = 2 s e c θ a n d x = 3 \tan θ t h e n \frac{x^{2}}{9} - \frac{y^{2}}{4}$ is

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

Answer & Explanation Answer: B) -1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A) 9	B) 4
C) 8	D) 6

Quantitative Aptitude - Arithmetic Ability Questions

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