Quantitative Aptitude - Arithmetic Ability Questions

Q:

A box of 20 items was bought for Rs. 6,400 after a discount of 20%. Find the cost of each item.

A) Rs. 300 B) Rs. 350
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: C) Rs. 400

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Deepinder lent Rs 8200 to Jairaj for 16 years and Rs 4900 to Karna for 15 years on simple interest at the same rate of interest and received Rs 19446.5 in all from both of them as interest. The rate of interest per annum is:

A) 10 percent B) 10.5 percent
C) 9.5 percent D) 11 percent
 
Answer & Explanation Answer: C) 9.5 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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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

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

If R019 is divisible by 11, find the value of the smallest natural number R?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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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 number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

A) 220030 B) 22030
C) 1220 D) 1250
 
Answer & Explanation Answer: A) 220030

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

The average of 7 numbers is 30. If the average of first three numbers is 25 and that of last three numbers is 35, then what is the fourth number?

A) 30 B) 35
C) 37.5 D) 40
 
Answer & Explanation Answer: A) 30

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Filed Under: Average
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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