Q:

What is (x-y)3+y-23+z-x33x-yy-zz-x =?

A) 1 B) 0
C) 1/3 D) 3
 
Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1259
Q:

Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

A) a2π+12 B) a
C) a2π2-1 D) πa/2
 
Answer & Explanation Answer: C) a2π2-1

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

4 1232
Q:

If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?

A) 1 cm or 7 cm B) 2 cm or 14 cm
C) 3 cm or 21 cm D) 4 cm or 28 cm
 
Answer & Explanation Answer: B) 2 cm or 14 cm

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

1 1081
Q:

The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?

A) 300% B) 400%
C) 450% D) 500%
 
Answer & Explanation Answer: A) 300%

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

4 1465
Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75% B) 50%
C) 25% D) No change
 
Answer & Explanation Answer: A) 75%

Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 2364
Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20%
C) 25% D) 27%
 
Answer & Explanation Answer: C) 25%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%
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Filed Under: Area
Exam Prep: Bank Exams

10 3307
Q:

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Modern man is imprisoned by his time-table and his routine. His life is all care and _____. He does not have _____ for anything but his duties and occupation for _____ money. Men, in all _____ may have been prone to this disease and; indeed, we in India may not have been _____ by it to the extent that people in western countries have been.

we in India may not have been _____ by it to the extent that people in western countries have been.

A) infected B) inflicted
C) accompanied D) associate
 
Answer & Explanation Answer: B) inflicted

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Filed Under: English
Exam Prep: Bank Exams

0 860
Q:

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Modern man is imprisoned by his time-table and his routine. His life is all care and _____. He does not have _____ for anything but his duties and occupation for _____ money. Men, in all _____ may have been prone to this disease and; indeed, we in India may not have been _____ by it to the extent that people in western countries have been.

Men, in all _____ may have been prone to this disease and; indeed,

A) spheres B) streams
C) areas D) ages
 
Answer & Explanation Answer: D) ages

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Filed Under: English
Exam Prep: Bank Exams

0 846