6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

A) 5/13	B) 5/12
C) 13/5	D) 13/12

Answer & Explanation Answer: B) 5/12

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE
Job Role: Bank Clerk , Bank PO

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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:

A person bought an item for Rs. 1500 and sold it at a profit of 12%. What was the selling price of the item?

A) Rs. 1800	B) Rs. 1620
C) Rs. 1662	D) Rs. 1680

Answer & Explanation Answer: D) Rs. 1680

Explanation:

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Filed Under: Profit and Loss
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

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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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

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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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

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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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:

What are the coordinates of the centroid of a triangle, whose vertices are A(2,5), B(4,4) and C(7,3)?

A) (4,-3)	B) (-1,0)
C) (-3,-3)	D) (3,-2)

Quantitative Aptitude - Arithmetic Ability Questions

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