6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 369	B) 257
C) 346	D) 628

Answer & Explanation Answer: C) 346

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Rearrange the jumbled up letters in their natural sequence ad find the odd one out.

A) EARSUQ	B) ONGPOYL
C) NAEGRCELT	D) RGETESNH

Answer & Explanation Answer: D) RGETESNH

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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

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Filed Under: Simplification
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Q:

If $cosθ = \frac{x^{2} - y^{2}}{x^{2} + y^{2}}$ , then the value of $cotθ$ is

A) 2xyx2-y2	B) 2xyx2+y2
C) x2+y22xy	D) x2-y22xy

Answer & Explanation Answer: D) x2-y22xy

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

A) 10	B) 12
C) 14	D) 16

Answer & Explanation Answer: D) 16

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Filed Under: Numbers
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Q:

If the circumference of a circle is 44 cm, then what must be its area (in cm²)?

A) 308	B) 240
C) 154	D) 480

Answer & Explanation Answer: C) 154

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

What is the value of (cot60 + 1/√3) ?

A) 4/√3	B) (2√2+√3)/2
C) 2/√3	D) (2√2+1)/√2

Answer & Explanation Answer: C) 2/√3

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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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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Quantitative Aptitude - Arithmetic Ability Questions

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