6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

A) 84	B) 90
C) 168	D) 336

Answer & Explanation Answer: A) 84

Explanation:

Let the length of the wire be h.

Radius r =1/2 mm = 1/20 cm

${πr}^{2} h = 66$

=> h= (66 x 20 x 20) x (7/22) = 8400cm = 84m

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Filed Under: Volume and Surface Area

5 11312

Q:

Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ?

A) 6.5%	B) 6%
C) 5%	D) 4.5%

Answer & Explanation Answer: C) 5%

Explanation:

C.I = $P [{(1 + \frac{r}{100})}^{t} - 1]$

594.5 = $5800 [{(1 + \frac{r}{100})}^{2} - 1]$

$\frac{594.5}{5800} + 1 = {(1 + \frac{r}{100})}^{2}$

$\frac{r}{100} = 1.05 - 1 = 0.05 = > r = 5$ % .

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Filed Under: Compound Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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13 11311

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 11310

Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11	B) 9 : 15 : 1
C) 20 : 15 : 9	D) 21 : 7 : 3

Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 11305

Q:

What will be the day of the week 15th August, 2010?

A) Sunday	B) Monday
C) Tuesday	D) Friday

Answer & Explanation Answer: A) Sunday

Explanation:

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Filed Under: Calendar

18 11302

Q:

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of Interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A) 3.6	B) 6
C) 18	D) cannot be determined

Answer & Explanation Answer: B) 6

Explanation:

Let rate = R% and time = R years.

Then, $(\frac{1200 \times R \times R}{100}) = 432$

$12 R^{2} = 432$

=> R = 6.

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

6 11295

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 11271

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
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17 11247

Quantitative Aptitude - Arithmetic Ability Questions

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