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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What least number must be subtracted from 518, so that the sum is completely divisible by 13?

A) 11 B) 10
C) 9 D) 12
 
Answer & Explanation Answer: A) 11

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is

A) 17 m B) 27 m
C) 25 m D) 30 m
 
Answer & Explanation Answer: C) 25 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?

A) 8 B) 10
C) 12 D) 5
 
Answer & Explanation Answer: B) 10

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Filed Under: Simple Interest
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 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:

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm B) 11 cm
C) 33 cm D) 44 cm
 
Answer & Explanation Answer: B) 11 cm

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

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Q:

Working together P, Q and R reap a field in 6 days. If P can do it alone in 10 days and Q in 24 days, in how many days will R alone be able to reap the field?

A) 32 days B) 40 days
C) 45 days D) 60 days
 
Answer & Explanation Answer: B) 40 days

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

 

A) 160 B) 150
C) 130 D) 175
 
Answer & Explanation Answer: A) 160

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Filed Under: Time and Work
Exam Prep: Bank Exams

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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

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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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