Mensuration In Aptitude For Competitive Exams Like CAT, SSC, IBPS Bank PO, IAS, Gate And Other Government Exams.
In This Mensuration Topic, We Will Focus On The Geometry Concepts.
1.Triangle: The Geometry Consist Three Sides Called Triangle.
Types Of Triangle: There Are basically Three Types Of Triangle, When We Consider Their Sides.
A.Equilateral Triangle: The triangle Of Which Three Sides Are Equal, Called Equilateral Triangle.In Equilateral Triangle All Sides Are Equal And All Angles Are Equal.Angle Is Of 60 Degree.
B.Isosceles triangle: In Isosceles Triangle Two Sides And Opposites Angles Are equal.
C.Scalene Triangle: In This Triangle All Sides And All Angles Are Unequal.
There Are Basically Three Types Of Triangle, When We Consider Angles:
A.Acute Angled triangle: All Of Three angles Are Less Than 90 Degree.
B.Obtuse Angled triangle: A triangle In Which One angle Is Greater Than 90 Degree.
C.Right Angled triangle: In Right Angled Triangle One Angle Is Of 90 Degree.
Formulas And Concepts For Triangle:
1.Sum Of All Angles Of A triangle Is Of 180 Degree.
Let Us Take Angle Of triangle Is A, B And C Then
A+B+C = 180Degree
2.Area Of Triangle = 1/2*Base*Height.
3.Area Of Equilateral Triangle: [(3^1/2)/4* (Side)*2] = We Can Read This Root 3 By 4 Multiplied By Side Square.
4.Sum Of Two Sides Of A Particular Triangle Is Always Greater Than Third Side.
5.Hero Formula For Triangle: [s(s-a)(s-b)(s-c)]^1/2
Where s = (a+b+c)/2
a, b, c Are The Sides Of Triangle.
2.Rectangle Concepts And Formulas:
Rectangle Is An Area Or Geometry Of Which Opposite Sides Are Equal And All Angles Are Of 90 Degree.
A Square Has All Sides Equal And All Angles Are Of 90 Degree.
Sum Of Angles Of Quadilateral Is 360 Degree.
A Parallelogram Is A Geometry In Which Opposite Sides Are equal.
A Rhombus Is Structure Or Area In Which, All Sides Are Equal.
When We take Radius = r
Then Area Of Circle = Pi*r^2 (Pi = 3.14)
Circle Circumference = 2*Pi*r
Circle Diameter = 2*r
Semi-Circle Area = (Pi*r^2)/2
Semi-Circle Circumference = (pi*r+2*r)
8.Concepts and Formulas On Trapezium:
Trapezium Area = 1/2*(Sum Of Parallel Sides)* Distance Between parallel Sides.
Quantities aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT),MAT, GMAT, IBPS
Exam, CSAT, CLAT , Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense
Competitive Exams, L.I.C/ G. I.C Competitive Exams , Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test
(IT Companies) and etc, Government Exams etc ,Quantitative Aptitude For Competitive Examinations by R. S. Aggarwal , Quantitative Aptitude Book
Description. Quantitative Aptitude for Competitive Examination (Fully Solved) Bank P.O, S.B.I. P.O; I.B.P.S; R.B.i. Exam
1.Triangle: The Geometry Consist Three Sides Called Triangle.
Types Of Triangle: There Are basically Three Types Of Triangle, When We Consider Their Sides.
A.Equilateral Triangle: The triangle Of Which Three Sides Are Equal, Called Equilateral Triangle.In Equilateral Triangle All Sides Are Equal And All Angles Are Equal.Angle Is Of 60 Degree.
B.Isosceles triangle: In Isosceles Triangle Two Sides And Opposites Angles Are equal.
C.Scalene Triangle: In This Triangle All Sides And All Angles Are Unequal.
There Are Basically Three Types Of Triangle, When We Consider Angles:
A.Acute Angled triangle: All Of Three angles Are Less Than 90 Degree.
B.Obtuse Angled triangle: A triangle In Which One angle Is Greater Than 90 Degree.
C.Right Angled triangle: In Right Angled Triangle One Angle Is Of 90 Degree.
Formulas And Concepts For Triangle:
1.Sum Of All Angles Of A triangle Is Of 180 Degree.
Let Us Take Angle Of triangle Is A, B And C Then
A+B+C = 180Degree
2.Area Of Triangle = 1/2*Base*Height.
3.Area Of Equilateral Triangle: [(3^1/2)/4* (Side)*2] = We Can Read This Root 3 By 4 Multiplied By Side Square.
4.Sum Of Two Sides Of A Particular Triangle Is Always Greater Than Third Side.
5.Hero Formula For Triangle: [s(s-a)(s-b)(s-c)]^1/2
Where s = (a+b+c)/2
a, b, c Are The Sides Of Triangle.
2.Rectangle Concepts And Formulas:
Rectangle Is An Area Or Geometry Of Which Opposite Sides Are Equal And All Angles Are Of 90 Degree.
- Rectangle Area: Length*Breadth.
- Rectangle Perimeter: 2*[Length+Breadth].
- Rectangle Diagonal: [(Length)^2 + (Breadth)^2]^1/2
- Area Of Room Of Four Walls: 2*Height*[length+height]
A Square Has All Sides Equal And All Angles Are Of 90 Degree.
- Area Of Square: (Side)^2 = 1/2*(Diagonal)^2.
- Perimeter Of Square: 4*Side.
- Length Of Diagonal: Side*1.414
Sum Of Angles Of Quadilateral Is 360 Degree.
- Quadilateral Area Is Base* Height.
- Quadilateral Perimeter: 2[Base+Height].
A Parallelogram Is A Geometry In Which Opposite Sides Are equal.
- Area Of paralleogram: Base * Height.
- Perimeter Of paralleogram: 2*(Base+Height).
A Rhombus Is Structure Or Area In Which, All Sides Are Equal.
- Area Of Rhombus: 4 * Side.
- Area Of Rhombus: 1/2*(Product Of Diagonals) = 1/2*d1*d2.
- Diagonal 1 = d1
- Diagonal 2 = d2
When We take Radius = r
Then Area Of Circle = Pi*r^2 (Pi = 3.14)
Circle Circumference = 2*Pi*r
Circle Diameter = 2*r
Semi-Circle Area = (Pi*r^2)/2
Semi-Circle Circumference = (pi*r+2*r)
8.Concepts and Formulas On Trapezium:
Trapezium Area = 1/2*(Sum Of Parallel Sides)* Distance Between parallel Sides.
Quantities aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT),MAT, GMAT, IBPS
Exam, CSAT, CLAT , Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense
Competitive Exams, L.I.C/ G. I.C Competitive Exams , Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test
(IT Companies) and etc, Government Exams etc ,Quantitative Aptitude For Competitive Examinations by R. S. Aggarwal , Quantitative Aptitude Book
Description. Quantitative Aptitude for Competitive Examination (Fully Solved) Bank P.O, S.B.I. P.O; I.B.P.S; R.B.i. Exam
