Aptitude and Reasoning Questions

Q:

Average age of 6 boys is 14 years. Average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?

 

A) 12.7   B) 14.6
C) 19.3   D) 8.5
 
Answer & Explanation Answer: A) 12.7  

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

Two women A and B start their morning run from the same point. A runs 3 km North, then turns West and runs 2 km, then turns to her right and runs 5.5km. B runs 4 km West then turns to her right and runs 8.5 km. Where is B with respect to A now?

A) 6 km West B) 2 km East
C) 6 km East D) 2 km West
 
Answer & Explanation Answer: D) 2 km West

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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

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Q:

If "#" means "subtraction", "&" means "division", "@" means "addition" and "%" means "multiplication", then 8442 & 9 # 7 % 6 @ 4 = ?

A) 912 B) 900
C) 938 D) 918
 
Answer & Explanation Answer: B) 900

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

The average cost of 5 items in a shopping list is Rs 650. If one more item whose cost is Rs 1400 is added to the list what will be the new average (in Rs)?

A) 775 B) 875
C) 725 D) 825
 
Answer & Explanation Answer: A) 775

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?

A) 8 B) 10
C) 12 D) 5
 
Answer & Explanation Answer: B) 10

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

A) 5 B) 3/5
C) 5/3 D) 1/5
 
Answer & Explanation Answer: A) 5

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is 15√3 sq cm, what is the area of the equilateral triangle?

A) 45/√2 sq cm B) 45√2 sq cm
C) 45 sq cm D) 45/2 sq cm
 
Answer & Explanation Answer: D) 45/2 sq cm

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Filed Under: Volume and Surface Area
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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