Aptitude and Reasoning Questions

Q:

The present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?

A) 42 B) 36
C) 30 D) 24
 
Answer & Explanation Answer: B) 36

Explanation:

Let present age of Pranay = 15p

That of Sai = 17p

ATQ,

15p + 6/17p + 6 = 9/10

=> 150p + 60 = 153p + 54

=> p = 2

Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Read the following question and decide which of the given arguments is/are strong.

 

Question : Should CBSE introduce the retention system till Class 10?

 

Argument 1 : The foundations laid in lower classes are important for higher education.


Argument 2 : It is boring for a student to repeat the same class again.

 

A) only arguments 2 is strong. B) Both arguments 1 and 2 are strong.
C) Neither arguments 1 nor 2 is strong D) only argument 1 is strong.
 
Answer & Explanation Answer: D) only argument 1 is strong.

Explanation:
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Filed Under: Statement and Arguments
Exam Prep: Bank Exams

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Q:

Two typists of varying skills can do a typing jobin6 minutesifthey work together.Ifthe first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work.Howmany minutes would it take the slower typist to complete the typing job working alone?

A) 10 minutes B) 15 minutes
C) 12 minutes D) 20 minutes
 
Answer & Explanation Answer: B) 15 minutes

Explanation:

Working efficiency of both typist together = 100/6 = 16.66%

Let the efficiency of first typist be x and second typist be (16.66 –x)

First typist for 4 minute + second tyoistfor 6 minute = 80% work

⇒4x + (16.66 –x) X 6 = 80%

⇒4x + 100% -6x = 80%,

⇒x = 10%

First typist typed 10% per minute, second typst typed (16.66 –10) = 6.66% per minute

Slowest is second typist complete whole job in 100/6.66 = 15.01 = 15 minute

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year

A) 8695 B) 7695
C) 3695 D) 4695
 
Answer & Explanation Answer: A) 8695

Explanation:

Given: j = 4%, m=  12, FV = $10,000, Term=  3.5 years
Then n  =m  *Term  12(3.5)  42

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Filed Under: Compound Interest
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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:

A is shorter than B but taller than C. D is shorter than A but taller than C and E is shorter than B but taller than A. The shortest person is ?

A) B B) C
C) A D) D
 
Answer & Explanation Answer: B) C

Explanation:
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Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

 

Statements: I > W > T > N, I = F = G = C

 

Conclusions:    I. W > I                 

                         II. C > N

A) Only Conclusion I is true B) Only Conclusion II is true
C) Both conclusions I & II are true D) Neither conclusion I nor II is true
 
Answer & Explanation Answer: B) Only Conclusion II is true

Explanation:

From the given Statements : 

 1. I > W > T > N
 
 2. F = G = C
 

Conclusions are : 

 I. W > I (False)

 II. C > N (True)

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Filed Under: Statement and Conclusions
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Q:

Bob Kashir deposited $6000 in a 4-year certificate of deposite paying 5% compounded daily.He withdrew the money 15 months later.The passbook rate at his bank is 3.5 % compounded daily.Find his amount of interest

A) 5678 B) 4563
C) 4329 D) 6210.73
 
Answer & Explanation Answer: D) 6210.73

Explanation:

Bob receives 15-3 = 12 months of 3.5 % interest compounded daily

 

 

 

M=P(1+i/365)^365n

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