Quantitative Aptitude - Arithmetic Ability Questions

Q:

The fraction from the ones listed below that will NOT lead to a recurring decimal is

A) 8/56 B) 6/56
C) 4/56 D) 7/56
 
Answer & Explanation Answer: D) 7/56

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

A) 9 B) 12
C) 1 D) 7
 
Answer & Explanation Answer: A) 9

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

A) 3118 B) 3275
C) 3621 D) 3465
 
Answer & Explanation Answer: D) 3465

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Find the value of 64344?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?

A) 15/17 B) 17/8
C) 17/15 D) 8/17
 
Answer & Explanation Answer: D) 8/17

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

A) Rs.1,860 B) Rs.1,800
C) Rs.1,980 D) Rs.2,000
 
Answer & Explanation Answer: C) Rs.1,980

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Filed Under: Simple Interest
Exam Prep: AIEEE , 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 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 = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an  equilateral triangle. What is the value in deg of EBZ?

A) 102 B) 98
C) 78 D) 64
 
Answer & Explanation Answer: A) 102

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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