Aptitude and Reasoning Questions

Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

 

AK, CO, ES, ?

 

A) NO B) FH
C) GW D) GV
 
Answer & Explanation Answer: C) GW

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Q:

If cosec π/4 - ­ sin π/3 = x, then the value of x is

A) 4/√3 B) (2√2­-√3)/2
C) (1­-√3)/√3 D) √3+2
 
Answer & Explanation Answer: B) (2√2­-√3)/2

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Q:

A bank offers 5% compound interest per half year. A customer deposits Rs 4800 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest?

A) Rs 732 B) Rs 1464
C) Rs 366 D) Rs 183
 
Answer & Explanation Answer: A) Rs 732

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Filed Under: Compound Interest
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Q:

What is the value of Cot 60 - Sec 30?

A) -1/3 B) -1/√3
C) 1/√3 D) 1/3
 
Answer & Explanation Answer: B) -1/√3

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Q:

Select the odd number from the given alternatives.

A) 43 B) 22
C) 13 D) 41
 
Answer & Explanation Answer: B) 22

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Filed Under: Odd Man Out
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Q:

If a mirror is placed on the line MN, then which is the right figure of the given image?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

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Filed Under: Analytical Reasoning
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Q:

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

A) 3118 B) 3275
C) 3621 D) 3465
 
Answer & Explanation Answer: D) 3465

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Filed Under: Area
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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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