Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right.

563248889266588343

 

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

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour B) 1 hour 15 minutes
C) 1 hour 25 minutes D) 1 hour 30 minutes
 
Answer & Explanation Answer: B) 1 hour 15 minutes

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Filed Under: Pipes and Cistern
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)
VcubeVcylinder = a3πr22h = 14/11
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A) 150° B) 120°
C) 100° D) 90°
 
Answer & Explanation Answer: B) 120°

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

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Q:

What is the average of all the one digit, two digit and three digit natural numbers?

A) 300 B) 500
C) 1000 D) 1250
 
Answer & Explanation Answer: B) 500

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In what time will Rs.4400 become Rs.4576 at 8% per annum interest compounded half-yearly?

A) 1 year B) 2 years
C) 6 months D) 7 months
 
Answer & Explanation Answer: C) 6 months

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Out of two numbers, 30% of the smaller number is equal to 18% of the larger number. If the sum of the two numbers is 840, then what is the value of the larger number?

 

A) 545 B) 507
C) 515 D) 525
 
Answer & Explanation Answer: D) 525

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

What is the value of 13313 + 729 - 5123

A) 15 B) 20
C) 30 D) 23
 
Answer & Explanation Answer: C) 30

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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