Aptitude and Reasoning Questions

Q:

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A) -cos y B) -sin y
C) cos x D) tan y
 
Answer & Explanation Answer: A) -cos y

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 9% per annum is Rs 405. The sum is ______ .

A) Rs 50000 B) Rs 100000
C) Rs 200000 D) Rs 150000
 
Answer & Explanation Answer: A) Rs 50000

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Filed Under: Simple Interest
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 cube to that of the cylinder ?

A) 4 : 3 B) 21 : 16
C) 14 : 11 D) 45 : 32
 
Answer & Explanation Answer: C) 14 : 11

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)
VcubeVcylinder = a3πr22h = 14/11
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Select the related word/letters/number from the given alternatives.
841 : 29 :: 289 : ?

A) 23 B) 21
C) 17 D) 13
 
Answer & Explanation Answer: C) 17

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Filed Under: Analogy
Exam Prep: Bank Exams

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Q:

In a certain code, 327 means 'don't cut tree', 635 means 'plant one tree', 138 means 'tree gives shade' and 4953 means 'we must plant tree'. Which digit represents 'shade'?

A) 1 B) 4
C) 8 D) cannot be determined
 
Answer & Explanation Answer: D) cannot be determined

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

Rs 9000 is divided among P, Q and R in the ratio of 5 : 6 : 7. What is the share (in Rs) of R?

A) 2500 B) 3500
C) 3000 D) 4000
 
Answer & Explanation Answer: B) 3500

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?

A) 26 B) 8
C) 16 D) 13
 
Answer & Explanation Answer: D) 13

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

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

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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