## Quantitative Aptitude Study Material

Learn From the Industry Experts

## Test of Quantitative Aptitude

**The Quantitative Aptitude Section of Success Bureau Study Material covers the complete syllabus and includes Often Asked Questions ( OAQs) in the Competitive Examinations . **

Hence, you are advised to properly learn and practice the contents . You should not waste time in learning out dated books .

**Below is given a small Sample of the Study Material provided to the students along with the Quizzes .**

**We have included the following two Chapters in our Sample Study Material :**

**Square Root & Cube Root****Percentage**

## Square Root & Cube Root

**SQUARE –** If a number is multiplied by itself , the product is called the Square of the number.

**SQUARE ROOT** ( Vargmool ) of a number is that number which when multiplied by itself is equal the given number. Thus , 3 is the square root of 9 and 4 is the square root of 16 **.**

The Square root of a number is indicated by the symbol √ Or √¯ . Thus, **√9 = 3 , √16 = 4 , √25 = 5 .**

Similarly, √9 = √3×3 = 3 ; √16 = √4×4 = 4 ; √25 = √5×5 = 5 etc .

** Note : The square root of 1 is 1.**

## Memorize the Following Tables

## TABLE – 1

Numbers & Their Squares

[wptb id=30250]## TABLE – 2

Numbers & Their Cubes

[wptb id=30254]## TABLE – 3

## Under Roots & Their Values

[wptb id=30257]## Percentage

## Percentage Rule – 1

A Fraction, whose Denominator is 100, is called the Percentage or Rate Percentage and the Numerator of the Fraction is Denoted by % .

For example, 25% means 25 out of 100 This can be expressed as 25 / 100 = 1/ 4

Similarly, 100% means 100 / 100 = 1.

## Percentage Rule – 2

(A) Multiply by 100 if you want to Show a Certain Number in % .

(B) Divide by 100 if you want to Remove % Sign from a Certain Number .

Examples : Q.1 2 / 10 as a rate per cent is ?

Solution : 2 / 10 x 100 = 20% .

Q.2 3.793 as a rate per cent is ?

Solution : 3.793 x 100 = 379.3 %

Q.3 20% = ?

Solution : 20 / 100 = 1 / 5

Q.4 3.768 % = ?

Solution : 3.768 / 100 = 0.03768

## Percentage Rule – 3

In Competitive Examinations, the Questions Based on the Following Relationship of A, B and C, are Often Asked :

[wptb id=30263]**In such problems, You are required to find out the Value of Any of the Three ****( i.e. A, B or C ) on the basis of the Given Values of any Two .**

**These Problems can be Easily Solved in the following way :**

Examples : Q.1 Find out the value of X if X % of 200 is equal to 50 .

Solution : X = 50 x 100 / 200 = 25

Q.2 20 is what % of 80 or X % of 80 is 20 ?

Solution : X = 20 x 100 / 80 = 25 %

Q.3 40% of 600 is equal to what ?

Solution : Suppose, 40% of 600 = X . Hence , X = 40 x 600 / 100 = 240

Memories the following relationships given in the Chart below. It will help you in solving the percentage questions quickly :

## CHART – 1

[wptb id=30271]**From the above chart we can see that for obtaining 5% of a certain number, we have to divide the number by 20 and so on .**

## CHART – 2

[wptb id=30275]Examples :

Q.1 5% of 80 = ?

Solution : 80 x 1/20 = 4

Q.2 20% of 400 = ?

Solution : 400 x 1/5 = 80

Q.3 35% of 900 = ?

Solution : 900 x 7/20 = 315

Q.4 12.5% of 200 = ?

Solution : 200 X 1/8 = 25

Q.5. Two numbers are respectively 20% and 40% more than a third number. What is the ratio of the two numbers ?

Solution : Suppose the third number is 100 .

Hence, the Ist and IInd numbers would naturally be 120 and 140 respectively. Ratio = 120 : 140 = 6 : 7.

Q.6. A Regiment lost in an engagement 25% of its men and still had 300 men left . What was the original number of men in the regiment ?

Solution : 75% ( or 3/4th ) of original men = 300 . Hence , Original men = 300 x 4/3 = 400

Q.7. The number of seats for admission for a vocational course is increased by 15% every year. If the number of students in 2017 is 800, what is the expected number of students in 2019 ?

Solution : The no. of seats increases by 15% ever year. So, 800 x 115 / 100 x 115 / 100 = 1058

Q.8. 30% of A’ s salary is equal to the 20% of 3/5th of B’ s salary. If B’s salary is Rs. 24,000/- , what is A’s salary ?

Solution : Suppose A’s salary is Rs. X.

Then, 3X / 10 = 1 / 5 x 3 / 5 x 24000/- ( 30% = 3/10 , 20% = 1/5 ) Or X = Rs. 9600/-

Q.9. In a library, 40% of the total number of books are in English, 80% of the rest in Hindi and the balance 300 books are in other languages. What is the total number of books in the library ?

Solution : Suppose total number of books = X

Hence, 40% of X + 80% of ( X – 40% ) + 300 = X Or 2X / 5 + 4 / 5 ( X – 2X / 5 ) + 300 = X Or X = 2500

Q.10. After deducting 20% from a certain sum and then 25% from the remainder, there are Rs.1200/- left . Find the original sum .

Solution : Suppose the original sum was Rs. X. After deducting 20%, 80% of X is left .

Then after deducting 25% of the remainder 75% of it would be left which is equal to Rs. 1200/-

The whole process can be shown like this : 4X / 5 x 3 / 4 = 1200 ( 80% = 4 / 5 , 75% = 3 / 4

Or X = Rs. 2000

## SPECIAL NOTE

The Quantitative Aptitude Section of Success Bureau Study Material covers the complete syllabus and includes Often Asked Questions

( OAQs) in the Competitive Examinations .

Hence, you are advised to properly learn the Study Material and practice . You should not waste time in learning out dated books .

The above is given a small Sample of the Study Material provided to the students along with the Quizzes .