Aptitude and Reasoning Questions

Q:

Find the volume (in cm3) of a cube of side 7.5 cm.

A) 421.875 B) 77.145
C) 39.245 D) 24.435
 
Answer & Explanation Answer: A) 421.875

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the reflection of the point (-4, 3) in the line x = -2?

A) (-4 , -7) B) (4 , 3)
C) (0 , 3) D) (-4 , 7)
 
Answer & Explanation Answer: C) (0 , 3)

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Filed Under: Volume and Surface 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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Q:

Poonam told Akshay that "Yesterday she defeated Akshay's only sister's daughter Sneha in a school Taekwondo competition." How is Akshay related to Sneha?

A) Grandfather B) Father
C) Cousin D) Uncle
 
Answer & Explanation Answer: D) Uncle

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Filed Under: Blood Relations
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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

A) 125000 B) 250000
C) 62500 D) 187500
 
Answer & Explanation Answer: C) 62500

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Filed Under: Compound Interest

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Q:

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

A) 10 B) 15
C) 20 D) 25
 
Answer & Explanation Answer: A) 10

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Q:

If 4x2 - 12x + k is a perfect square, then the value of k is

A) 9 B) 12
C) 10 D) 14
 
Answer & Explanation Answer: A) 9

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