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Q:

n is an integer chosen at random from the set

{5, 7, 9, 11 }

p is chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23 ?

A) 0.1 B) 0.2
C) 0.25 D) 0.3
 
Answer & Explanation Answer: A) 0.1

Explanation:

Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.

Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)

This means that the probability of getting a sum of 23 is 2/20 = 1/10

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Q:

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

A) 3/2 B) 5/2
C) 7/2 D) 9/2
 
Answer & Explanation Answer: A) 3/2

Explanation:

R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius

 

Volume of cylinder/Volume of hemisphere = πr323πr3

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

Mycolog is the branch of botany in which we study about

A) Algae B) Fungi
C) Bacteria D) Virus
 
Answer & Explanation Answer: B) Fungi

Explanation:
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Filed Under: Biology

Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2 B) 1;3
C) 1:4 D) 1:5
 
Answer & Explanation Answer: A) 1:2

Explanation:

 4×3.14×r2 : 4×3.14×r2 = 1 : 2  

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Filed Under: Volume and Surface Area
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Q:

Silviculture is the branch of botany in which we study about

A) Culture of algae B) Development of forest
C) Culture of fungi D) Silciphida plant
 
Answer & Explanation Answer: B) Development of forest

Explanation:
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Filed Under: Biology

Q:

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Volume of rod = πr2h = πr2×r = πr3  

Volume of one spherical ball =r/2 

Volume of the spherical ball = 43πr38  

Number of balls=Volumeof rod/volumeof one ball

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Filed Under: Volume and Surface Area
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Q:

Branch of agriculture concerned with the production of crops

A) Agrotology B) Agronomy
C) Agrostology D) Anthropology
 
Answer & Explanation Answer: B) Agronomy

Explanation:
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Filed Under: Biology

Q:

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

A) 2:1 B) 3:1
C) 4:1 D) 5:1
 
Answer & Explanation Answer: B) 3:1

Explanation:

v1v2=r12×h1r22×h2 

 

d1 = 2r1 and d2 = 2r2 are diameters

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO