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How to prepare for Quantitative Aptitude Numerical Ability for exams like  IBPS Clerk, IBPS PO, SBI PO, SBI Clerk, RRB, RBI, SSC Insurance LIC AAO CSAT Railways NDA CDS & GMAT and other Competitive Exams 

Average

What is Average?

Average is also called as Mean.

Average or mean = sum of observations/ Number of Observations.

What is Ratio?

Ratio is comparison of two quantities of same kind by division.

If a and b are two non zero numbers of same kind then

a/b or a:b represents their ratio.

What is an example of Ratio?

$10 : $50

What is proportion?

When two ratios are equal then it is said to proportion.

Proportion is represented by (::)

a:b = c:d

a:b ::c:d

Percentage

What is percentage?

Per cent means per hundred.

25 percent means 25 parts out of 100 parts

It can be written as 25/100

Percent is a fraction whose denominator is 100.

The numerator of the fraction as called rate percent.

25/100 = 25%

The sign used for percent is %

Profit and Loss

What is CP Cost price?

It is the price at which the article is bought.

What is Selling price?

It is the price at which the article is sold.

What is Profit or gain?

If selling price is more than cost price there is a gain or profit.

What is loss?

If the selling price is less than the cost price there is a loss.

What are the Important Formulas?

Profit = Selling price – Cost price or SP-CP

Loss = Cost Price – Selling price  or  CP-SP

How to calculate profit percentage?

Profit/CP x 100

 SP-CP/CP x 100

How to find the loss Percentage?

Loss/CP x 100

 CP-SP/CP x 100

What is Discount Percentage?

Discount /Marked Price x 100

Simple and Compound Interest

What is Principal?

Money borrowed is called Principal.

What is Interest?

It is the money paid by borrower to the lender for using the borrowed money.

What is Simple Interest?

Interest calculated on the original principal for any duration or length of time.

What is Time Period?

It is the duration of period for the money borrowed.

What is Compound Interest?

In compound interest –the interest at the end of the year is added to principal and this amount becomes the principal for the next year or period.

What are the Important Formulas?

If P = Principal R=Rate Percent per annum T= Number of Years A = Amount SI = Simple Interest Then

SI = P X R XT/100

Time and Speed

What is Time?

Time is a measurement which tells how long it takes for somebody to do something or  something to happen.

Time = Distance Covered / Speed

Time is abbreviated as s, min or h

What is Speed?

It is distance traveled per unit time.

Speed = Distance /Time

Speed is abbreviated as m/s or km/h

What is Distance?

It is the actual path covered in a given interval of time.

Distance = Speed x Time

Distance is abbreviated as m or km

Statistics

What is mean?

The mean of observations is the sum of values of all the observations divided by the total number of observations.

What is Mode?

A mode is the value among the observations which occurs most often.

The value of the observation having maximum frequency.

What is Median of Grouped Data?

It is a measure of central tendency which gives the value of the middle most observation in the data.

What are the Important formulas?

Arithmetic mean for n observations

X1, x2, x3, …, xis given as X1 + x2 + X3 +….+ Xn / n 

Mensuration

What is a Triangle?

Triangle is a plane figure with three sides that are joined to form three angles.

What is a Rectangle?

Rectangle is a four sided figure with four angles and opposite sides are equal.

What is a Square?

Square is a four sided figure in which all four sides are equal and all the four angles are right angles.

What is a Parallelogram?

Parallelogram is a four sided figure which has opposite sides parallel and opposite angles equal.

What is a Rhombus?

Rhombus is a parallelogram which has four equal sides but there is no right angles.

What is a Trapezium?

Trapezium is a four sided figure in which no two sides are parallel.

What are the Important Formulas?

Triangle

How to find the area of a Triangle?

When b =base, h = height are given then Area of Triangle is

 Β½ x Base x Height or Β½ x b x h

When sides a, b and c are given then area of Triangle is

√s(s-a) (s-b) (s-c)

How to find the area of equilateral triangle where a is its sides?

√3/4 a2

How to find the perimeter of a triangle (sides a, b and c)?

The perimeter of a triangle will be = a + b + c

How to find the perimeter of a equilateral triangle (side a)?

The perimeter of a equilateral triangle (side a) = 3a

How to find the area of isosceles triangle?

The area of isosceles triangle = b/4 √4a2-b2

Rectangle

d = diagonal, b = breadth and l = length and h = height

How to find the area of a rectangle?

The area of a rectangle = length x breadth or l x b

How to find the perimeter of a rectangle?

The perimeter of a rectangle 2( l + b )

How to find the length of the diagonal of a rectangle?

 The length of the diagonal of a rectangle = √ l2 + b2

How to find the area of four walls of a room?

The area of four walls of a room = 2 ( l + b ) x h

Square

Side of the square = a

How to find the perimeter of a square?

The perimeter of a square = 4 x side or 4a

How to find the area of a square?

The area of a square = ( a ) 2 sq unit

How to find the diagonal of a square?

The diagonal of a square = √2 x a or √2 x side

Rhombus

Side of Rhombus = a

Diagonals = d1 and d2

How  to find the area of a Rhombus?

Area of a Rhombus = Β½ x d1 x d2

How to find the perimeter of a Rhombus?

The perimeter of a Rhombus = 4 x a

How to find the side of a Rhombus?

The side of a Rhombus = √ ( d1/2)2  + ( d2/2)2  

Trapezium

How to find the Area of a Trapezium?

The Area of a Trapezium =

  Β½  (sum of parallel sides) x height

0r Β½( a + b) x h where a and b are sides

Parallelogram

How to find the area of a Parallelogram?

The area of a Parallelogram = base x height

or b x h where b = base and h = height

How to find the area of a Parallelogram when diagonal and perpendicular on the diagonal are given?

The area of a Parallelogram when diagonal and perpendicular on the diagonal are given is =

diagonal x perpendicular on the diagonal

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