6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simplify $576 b^{3} x^{2} a^{4} z^{3} / 36 a^{3} b^{2} z$

A) 16bx2az2	B) 8bx2az2
C) 32ba2 z	D) 32bxa2

Answer & Explanation Answer: A) 16bx2az2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $2 \cos^{2} A - 1 = x$ , then the value of x is

A) cosec4A - sin4A	B) cos4A - sin4A
C) cos4A - tan4A	D) cosec4A - tan4A

Answer & Explanation Answer: B) cos4A - sin4A

Explanation:

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Q:

If $\sqrt (1 + \cot^{2} A) = x$ , then the value of x is

A) secA	B) sinA
C) cosecA	D) cosA

Answer & Explanation Answer: C) cosecA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

If 3.5x = 0.07y, then find the result of [y-x / y+x]

A) 51/49	B) 49/53
C) 49/51	D) 53/57

Answer & Explanation Answer: C) 49/51

Explanation:

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Q:

A box of 20 items was bought for Rs. 6,400 after a discount of 20%. Find the cost of each item.

A) Rs. 300	B) Rs. 350
C) Rs. 400	D) Rs. 450

Answer & Explanation Answer: C) Rs. 400

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Rathin is now 16 years old while his cousin is 7 years. After how many years will Ratin's age be 1.5 times that of his cousin?

A) 12	B) 11
C) 9	D) 10

Answer & Explanation Answer: B) 11

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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Q:

Which of the following is the largest number among $\sqrt{2}, \sqrt[3]{3}, \sqrt{4}, \sqrt[3]{5}$

A) √2	B) 33
C) √4	D) 53

Quantitative Aptitude - Arithmetic Ability Questions

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