Aptitude and Reasoning Questions

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:

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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Q:

A,B and C together can finish a task in 7.5 days. C is thrice as productive as A and B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave?

A) 30 B) 10
C) 20 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:
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Filed Under: Time and Work
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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:

That which cannot be corrected

A) Incorrigible B) Illegible
C) Illegal D) Indelible
 
Answer & Explanation Answer: A) Incorrigible

Explanation:

The One-word substitute for That which cannot be corrected is Incorrigible.

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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
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Q:

Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/hr whereas Hema’s speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema?

A) 5 km B)  5.5 km
C) 6 km D) 6.5 km
 
Answer & Explanation Answer: C) 6 km

Explanation:
Let the distance between be D km
Time taken by radha – Time taken by Hema = 9 mins
So D/8 – D/10 = 9/60 hrs
D = 6km
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Filed Under: Time and Distance
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Q:

Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

I. All IIMs are in India. No BIMs are in India. No IIMs are BIMs

II. All IIMs are in India. No BIMs are in India .No BIMs are IIMs

III. Some IIMs are not in India. Some BIMs are not in India. Some IIMs are BIMs.

IV. Some IIMs are not in India. Some BIMs are not in India. Some BIMs are IIMs.

A) I Only B) II Only
C) I and II D) III and IV
 
Answer & Explanation Answer: C) I and II

Explanation:
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Filed Under: Logic

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