6500+ Quantitative Aptitude Questions and Answers With Explanation

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 = ${πr}^{2} h$ = ${πr}^{2} \times r$ = ${πr}^{3}$

Volume of one spherical ball =r/2

Volume of the spherical ball = $\frac{\frac{4}{3} {πr}^{3}}{8}$

Number of balls=Volumeof rod/volumeof one ball

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

15 10900

Q:

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let the number be v. Then, 3 (2x + 9) = 75.

2x + 9 = 25

=> 2x = 16

=> x = 8

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Filed Under: Problems on Numbers

3 10893

Q:

A can do a work in 24 days. B is 20% more efficient than A. If C can do the work in 10 more days than B, find the time taken by A and C together to complete the work.

A) 43/3 days	B) 40/3 days
C) 50/3 days	D) 41/2 days

Answer & Explanation Answer: B) 40/3 days

Explanation:

A takes 24 days to complete a work.
B is 20% more efficient than A,
hence B will take (24*100)/120 = 20 days.
C takes (20+10) = 30 days.
Time taken by A & C in completing the work = (24*30)/(24+30) = (24*30)/54 = 40/3 days.

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 10891

Q:

The breadth of a rectangular field is 75% of its length. If perimeter of the field is 1050 m, what will be th area of field ?

A) 65700 sq.m	B) 54500 sq.m
C) 78700 sq.m	D) 67500 sq.m

Answer & Explanation Answer: D) 67500 sq.m

Explanation:

Let the length be 'l' and breadth be 'b'.

b = l × 3/4__________(a)

2(l+b) = 1050

l+b = 525___________(b)

From equations (a) and (b),

l = 300m, b = 225 m

Area = l × b

= 300 × 225

= 67500 sq.m.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 10889

Q:

An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A) 4.04%	B) 5.04%
C) 6.04%	D) 7.04%

Answer & Explanation Answer: A) 4.04%

Explanation:

100 cm is read as 102 cm

a = 100 x 100 sq.cm and b = 102 x 102 sq.cm

then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm

percentage error = $\frac{404}{100 * 100} * 100$ = 4.04%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

3 10879

Q:

If $3^{x - y} = 27$ , $3^{x + y} = 243$ then find the x value

A) 2	B) 8
C) 4	D) 1

Answer & Explanation Answer: C) 4

Explanation:

Given that $3^{x - y} = 27$ , $3^{x + y} = 243$

$\Rightarrow 3^{x - y} = 3^{3}, 3^{x + y} = 3^{5}$

=> x-y=3, x+y=5

=> x = 4

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

15 10875

Q:

The circumference of a circle, whose area is 24.64 sq.m

A) 14.64	B) 16.36
C) 17.60	D) 18.40

Answer & Explanation Answer: C) 17.60

Explanation:

${πr}^{2} = 26.64$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

11 10856

Q:

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?

A) 100 π	B) 101/π
C) 99 π/12	D) 54/13π

Answer & Explanation Answer: A) 100 π

Explanation:

4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x r
r = 5
4π x 5 x 5 = 100π

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Filed Under: Volume and Surface Area
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

17 10853

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