Important Information of Maths for Competitive Exams. .... : Friends , we are going to see information about the subject of mathematics ,which is very important for Competitive exams,Scholarships,Navoday entrance exams ,Police recruitment,Talathi recruitment ,Gramsevak recruitment....
Mathematics is an area of knowledge that includes the topics of numbers,formulas and related structures,shapes,quantities and their changes.
In every type of competitive exam,the mathematics section considers being one of the most important parts of clear the exam and for practising is the key.
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| Important Information of Maths for Competitive Exams. |
Important Information of Maths for Competitive Exams.
* There are infinite points in a line.
* Multiple lines can be drawn from one point.
* The line is infinite on both sides.
* One and only one line can be drwan by joining two points.
* Lines that do not intersect in the same image called parallel line.
* When two intersecting lines are at right angles to each other,they are perpendicular to each other.
* A set of angles is called an angels.
* A protector is use to measures angels.
* The measure of an acute angle is greater than zero angels and less than 90.
* The measure of a right angle is 90. 'Important Information of Maths for Competitive Exams'
* The measure of a obtuse angel is more than 90 and less than 180.
* A figure enclosed on three sides is called a triangle.
* A triangle has three side ,three angles and three vertices.
* The sum of the measure of all three angle of a triangle is 180 degree.
* A figure enclosed in four side is called quadrilateral.
Maths for Competitive Exams.
* A quadrilateral has 4 side, 4 angle ,4 vertices and 2 diagonal.
* The sum of the measure of 4 angles of a quadrilateral is 360.
* Figure bounded by 4 side of equal length is called a square.
* All 4 angles of a square are right angle.
* Adjacent sides of a square are perpendicular to each other.
* Opposite sides of a rectangle are equal length.
* All four angles of rectangle are right angle.
* Rectangle is called right angle quadrilateral.
* A line joining the centre of a circle to a point on the circle is called radius of circle.
* A line joining any two points on a circle is called a chord of that circle.
* Chord passing through the centre of a circle is called the diameter of that circle.
* A circle has many radius.
* A circle has many diameter.
* A circle has many chords.
Maths for Competitive Exams.
* The diameter is twice the radius of a circle.
* The radius is half the diameter of a circle.
* All chords of a circle are of unequal length.
* Diameter is largest chord of a circle.
* A circle have only one centre.
* Many circles can be draw with one centre.
* The point at which all the diameters of a circle intersect is called the centre of the circle.
* Radius of circle = Diameter/2
* Diameter of circle= Radius × 2
* The length of side of a circle is called circumference of a circle.
* Circumference of circle = 2π × radius
* Area of circle = π × radius × radius
* The interior of a circular side is called the interior of a circle.
* The outer side of a circle is called exterior of the circle.
* The sum of the lengths of all the sides of a closed figure is perimeter of that figure.
* Perimeter of triangle= sum of all side.
* Perimeter of rectangle = 2 (length+breadth)
* Perimeter of square = 4 × side
* Perimeter of polygon = sum of all side.
* The area of a figure is the measure of the area occupied by the figure on the surface.
* Area of triangle = 1/2 × base × height
* Area of rectangle = length × breadth
* Area of square = side × side
* Three dimensional figure in which all faces are equal is called cube.
* A cube has 8 vertices, 12 edges and 6 square faces.
* All faces of a cube are of equal length.
* All edges of a cube are of equal length.
* If two cubes are connected to each other the figure of cuboid is formed.
* The facing pages of cuboid are identical.
* Cuboid has 8 vertices, 12 edges and 6 rectangular faces.
* The opposite edges of the cuboid are of equal length.
* The volume of cube = side × side × side
* The volume of cuboid = length × breadth × height
* 1 to 100 there are 25 prime number.
* 1 to 50 there are 15 prime number.
* 1 to 25 there are 9 prime number.
* One is neither prime nor composite number.
* Smallest prime number is 2.
* Smallest odd prime number is 3.
* 2 is only one even prime number.
* 1 digit prime number is 4.
* Two digit total prime number is 21.
* The sum of prime number from 1 to 10 is 17.
* The sum of prime number from 1 to 20 is 77.
*The sum of prime number from 1 to 25 is 100.
* The sum of prime number from 1 to 50 is 328.
* The sum of prime number from 1 to 100 is 1060.
* Number that are not prime are composite number.
* There are a total of 74 composite number from 1 to 100.
* There are a total of 34 composite number from 1 to 50.
* The smallest composite number is 4.
* A single digit total composite number is 4. (4,6,8,9)
* A two digit total composite number is 69.
* One digit biggest composite number is 9.
* There are 8 pairs of additive number from 1 to 100.
* There are 6 pairs of additive number from 1 to 50.
* An even number has 0,2,4,6,8 digits in its units place.
* An odd number has 1,3,5,7,9 digits in its units place.
* A perfect square number has the digits 0,1,4,5,6,9 in the unit place.
*Perfect square number never has the digit 2,3,7,8 in the unit place.
* The number zero occurs 11 times in 1 to 100.
* The number one occurs 21 times in 1 to 100.
* The number 2,3,4,5,6,7,8,9 occurs 20 times in 1 to 100.
* There are 50 even number between 1 to 100.
* There are 49 odd number between 1 to 100.
* There are 9 total single digit number from 1 to 100.
* There are 90 total 2 digit number from 1 to 100.
* There are one total three digit number from 1 to 100.
* The total number of zeros in unit place between 1 to 100 is 10.
* A normal year has 365 days.
* A leap year has 366 days.
* A normal year has 52 weeks and 1 day.
* A leap year has 52 weeks and 2 day.
* A year in which a number is divisible by 4 is called a leap year.
* In which full century year has divisible by 400 is called leap year.
* February has 28 days in normal year.
* February has 29 days in leap year.
* There are 7 months with 31 days in a month.
* There are 4 months with 30 days in a month.
* A normal year ends with the same wind with which it begins.
* The blow on first January is the same blow on 31st December.
* A leap year ends with the year following the year in which it begins.
* Lokmanya Tilak death anniversary, Independence day ,Teachers day and children's day are equal in a year.
* In a year Maharashtra day , Mahatma Gandhi jayanti and Christmas are equal.
* 6 strikes occur 52 times in a normal year.
* 5 strokes occur 52 times in a leap year.
* In a normal year one date falls 53 times and other falls 52 times.
* In a leap year one and two dates fall 53 times and other falls 52 times.
* In a month of 28 days all the blow come 4 times.
* A date stroke occurs 5 times in a 29 day month.
* In a 30 day month one and two dates occur five times.
* In a month of 31 days 1,2,3 dates come 5 times.
* The English month with the shortest days is February.
* 12 o'clock in the afternoon is said to be mid day.
* The period from 12 noon to 12 night is called meridian period.
* Between the hour hand and minute hand of the clock there is a acute angle at 1,2,10 and 11 o'clock.
* Between the hour hand and the minute hand of the clock there is a obtuse angel at 4 ,5 ,7 and 8 o'clock.
* The hour hand of the clock is at right angles to the minute hand at 3 o'clock and 9 o'clock.
* The angle between the hour hand and the minute hand of a clock is 0 at 12 o'clock.
* A watch has a straight angle between the hour hand and the minute hand at 6 o'clock.
* Profit= Selling price - Cost price
* Loss= Cost price - Selling price
* Average = Sum of quantities / Number of quantities
* Product of two numbers = Their HCF in to Their LCM
* Simple Interest = P R T / 100
* Work done = Time taken in to Rate of work.
"Important Information of Maths for Competitive Exams"
By-
Ram Govardhan Dole
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