Aptitude and Reasoning Questions

Q:

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

A) (4 , 3) B) (4 , 5)
C) (2 , 5) D) (3 , 5)
 
Answer & Explanation Answer: B) (4 , 5)

Explanation:
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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 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:

Two successive discounts of 12% and 20% are given by Rajat on a shirt. If the marked price of the shirt is Rs 500, then what is the value (in Rs) of discount?

 

A) 198   B) 152  
C)  148   D) 168
 
Answer & Explanation Answer: C)  148  

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Find the 4th proportional to 9, 17 and 27.

A) 57 B) 48
C) 51 D) 53
 
Answer & Explanation Answer: C) 51

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

A) 25/7 B) 24/25
C) 24/7 D) 7/24
 
Answer & Explanation Answer: B) 24/25

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Exam Prep: Bank Exams

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Q:

What is the x – intercept of the linear equation 18x + 25y – 900 = 0?

A) 18 B) 25
C) 50 D) 450
 
Answer & Explanation Answer: C) 50

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If (1 + cot2A) = x, then the value of x is

A) secA B) sinA
C) cosecA D) cosA
 
Answer & Explanation Answer: C) cosecA

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1  )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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