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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Sharon Stone deposits $500 at the beginning of each 3 months in an account earning 10% compounded quarterly. Determine how much money she has after 25 years

A) 22681.19 B) 23456
C) 44577 D) 25685
 
Answer & Explanation Answer: A) 22681.19

Explanation:

 

 

S=R[(1+i)^n-1)/i]

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Filed Under: Compound Interest
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Q:

The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is

A) 27months B) 23months
C) 20months D) 12months
 
Answer & Explanation Answer: A) 27months

Explanation:

P.W. = Rs. (1600 - 160) = Rs. 1440
∴ S.I. on Rs.1440 at 5% is Rs. 160.
∴ Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months.

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Filed Under: True Discount

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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
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Q:

If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?

A) Wednesday B) Thursday
C) Tuesday D) Friday
 
Answer & Explanation Answer: D) Friday

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

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Q:

A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 50 days B) 80 days
C) 24 days D) 37.5 days
 
Answer & Explanation Answer: A) 50 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If a+b+c = 6 and ab+bc+ca = 1, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is

A) 33 B) 66
C) 55 D) 23
 
Answer & Explanation Answer: B) 66

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?

A) 29850 B) 30120
C) 31350 D) 37250
 
Answer & Explanation Answer: C) 31350

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

A retirement benefit of $12,000 is to be paid every 6 months for 25 years at interest rate of 7% compounded semi-annually. Find

(a) the present value to fund the end-of-period retirement benefit.

(b) the end-of-period semi-annual payment needed to accumulate  the value in part (a) assuming regular investments for 30 years in an account yielding 8% compounded semi-annually

A) 245678 B) 234689
C) 281468.06 D) 234578
 
Answer & Explanation Answer: C) 281468.06

Explanation:

 

 

 

 

 

 

R=S[i/(1+i)^n-1]

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Filed Under: Compound Interest
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