Aptitude and Reasoning Questions

Q:

A tank can be filled in 30 minutes. There is a leakage which can empty the tank in 90 minutes. Therefore, the tank will be filled in

A) 60 min B) 45 min
C) 55 min D) 50 min
 
Answer & Explanation Answer: B) 45 min

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

If 14 (16) 18 and 33 (64) 25, then what is the value of ‘A’ in 25 (49) A?

A) 32 B) 18
C) 24 D) 32 or 18
 
Answer & Explanation Answer: D) 32 or 18

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

Coefficient of x in (x + 8)(6 -­ 3x) is

A) 18 B) 30
C) -18 D) -30
 
Answer & Explanation Answer: C) -18

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

A) 28 B) 22
C) 24 D) 26
 
Answer & Explanation Answer: A) 28

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

199994 x 200006 = ?

A) 39999799964 B) 39999999864
C) 39999999954 D) 39999999964
 
Answer & Explanation Answer: D) 39999999964

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Filed Under: Simplification
Exam Prep: Bank Exams

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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:

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
Exam Prep: Bank Exams

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Q:

When a mirror is placed on the line AB, then which is the right figure?

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

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Filed Under: Image Analysis
Exam Prep: Bank Exams

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