Aptitude and Reasoning Questions

Q:

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?

 

A) 48[(√3) + 1] B) 24[4 + (√3)]
C) 28[6 + (√3)] D) 32[3 + (√3)]
 
Answer & Explanation Answer: D) 32[3 + (√3)]

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

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Q:

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

A) 2 : 5 B) 1 : 5
C) 2 : 3 D) 2 : 1
 
Answer & Explanation Answer: A) 2 : 5

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

If A = 1, E = 5, then HEAR = ?

A) 38 B) 32
C) 31 D) 30
 
Answer & Explanation Answer: B) 32

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A sum amounts to Rs 7727.104 at the rate of 12% per annum compounded annually after three years. What is the value of principal (in Rs)?

A) 5000 B) 5200
C) 5350 D) 5500
 
Answer & Explanation Answer: D) 5500

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

Which of the following terms follows the trend of the given list? XYXYXYxy, XYXYXyxY, XYXYxyXY, XYXyxYXY, XYxyXYXY, _______________.

A) xyXYXYXY B) XYXYXYxy
C) XYXYXyxY D) XyxYXYXY
 
Answer & Explanation Answer: D) XyxYXYXY

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Filed Under: Coding and Decoding

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Q:

Kishan cycled a distance of 120 km at a certain speed. If he cycled 2 km slower every hour, he would have taken 3 more hours to reach his destination. What is the speed in kmph at which Kishan actually cycled?

A) 15 B) 8
C) 12 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

A) 83 B) 38
C) 64 D) 46
 
Answer & Explanation Answer: B) 38

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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