Aptitude and Reasoning Questions

Q:

What is the unit digit of (217)413 × (819)547 × (414)624 × (342)812?

A) 2 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

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

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Q:

If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

A) 100 B) 250
C) 150 D) 40
 
Answer & Explanation Answer: C) 150

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A person divided a sum of Rs. 17,200 into three parts and invested at 5%. 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9%?

 

A) Rs. 3,200 B) Rs. 4,000
C) Rs. 4,800 D) Rs. 5000
 
Answer & Explanation Answer: B) Rs. 4,000

Explanation:
Let sum invested @ 5% be P1, @ 6% be P2 then @ 9% =17200-(P1+P2)
So according to question
P1*5*2/100 = P2*6*2/100 or P1 = (6/5) P2
Also P2*6*2/100 = [17200-(P1+P2)]*9*2/100
Or 2 P2 = [17200–(11/5)P2] * 3
Or (2 + 33/5)P2 = 17200 * 3
P2 = 17200 * 3 * 5 / 43 = 6000
So P1 = 6/5 P2 = 7200
So Sum invested @ 9% = 17200–(6000+7200) = Rs 4000
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

The following bar graph shows the percentage of chairs produced by two companies Neel Kamal and Raj Kamal during five different years. Bar graph also shows the total no. of chairs produced in different years associated with it. Study the graph carefully to answer the following questions.

bar_g1527828671.jpg image

Question 1)  Find the average no. of chairs produced by Raj Kamal in the years 2004, 2006 and 2007 together.

 

Question 2)  What is the ratio of no. of chairs produced by Neel Kamal in the years 2007 and 2008 together to that by Raj Kamal in the same years together?

 

Question 3)  If 12% chairs out of total chairs produced in the year 2008 were defective and in them ratio of defective chairs by Raj Kamal and Neel Kamal is 2 : 3 then find the no. of defective chairs produced by Neel Kamal in the year 2008.

Answer

Answer 1)  


1/3 x (54 x 150 + 60 x 300 + 36 x 450)


= 1/3 x 42300


= 14100.


 


Answer 2)


Required ratio of chairs = 64 x 450 + 56 x 50036 x 450 + 44 x 500


= 56800/38200


= 284/191.


 


Answer 3)


 


Required number of chairs =  35 x 12100 x 50000
= 3600.


 

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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:

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:

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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