Mensuration In Aptitude For Competitive Exams

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.

• 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]

3.Concepts And Formulas On Square:
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

4.Concepts And Formulas Of Quadilateral:
Sum Of Angles Of Quadilateral Is 360 Degree.

• Quadilateral Area Is Base* Height.
• Quadilateral Perimeter: 2[Base+Height].

5.Concepts And Formulas On Parallelogram:
A Parallelogram Is A Geometry In Which Opposite Sides Are equal.

• Area Of paralleogram: Base * Height.
• Perimeter Of paralleogram: 2*(Base+Height).

6.Concepts And Formulas On Rhombus:
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

7.Concepts And Formulas On Circle And Semicircle:
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.



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Circular Track Problems In Aptitue For Competitive Exams

Boats And Stream Problems In Aptitude For Competitive Exams Like CAT, SSC, IBPS Bank PO, IAS, Gate And Other Government Exams.

Concept Of Circular track Problems:
Condition 1: When Two Person With Speed S1 Km/hour And S2 Km/hour, Starting With A Same Position On The Circumference Of Track C Km In Same Direction, Then
A.Time Taken For Meeting First Time At Any Position: (C/S1-S2) Hour
B.Time Taken For Meeting At Starting Point, At First Time:
LCM(C/S1.C/S2)hour.
Condition 2: When Two Person With Speed S1 Km/hour And S2 Km/hour, Starting With A Same Position On The Circumference Of Track C Km In Opposite Direction:
A.Time Taken For Meeting First Time At Any Position: (C/S1+S2) Hour
B.Time Taken For Meeting At Starting Point, At First Time:
LCM(C/S1.C/S2)hour.
Notes1.We Can Use The Concept Of Time  Speed And Distance For Convering Km/hour To Metre/ Second Or Vice Versa
Notes2: When We Consider Sign Of Above Formula Then This Is Same As Rail Problem.
Notes3: In Rail And Circular Track Problem In Same Direction We Use – Sign And For Opposite Direction We Use + Sign. But In Stream And Boats Problem Converse Is True.




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

04:02 - By Unknown 8

Boats And Streams Problems In Aptitude For Competitive Exams

Boats And Stream Problems In Aptitude For Competitive Exams Like CAT, SSC, IBPS Bank PO, IAS, Gate And Other Government Exams.

Concepts On Boats And Streams Problem:
1.When Boat And Water Stream Move In One Direction Then This Is Called Boat Is Moving Downstream.The Total Speed Of Boat Would Increased In This Condition.
2.When Boat And water Stream Are Moving In Opposite Direction Then Boat Is Called Moving Upstream.The Total Speed Of Boat Would Decreased In This Condition.
Let, Speed Of Boat In Constant Water = S1
Speed Of Water Stream = S2

Formula1: Speed Of Boat In DownStream Condition = (S1+S2)Km/hour

Formula2: Speed Of Boat In Upstream Condition = (S1-S2)Km/hour

Notes: This Is The Advice Of Author To Learn The Formula. When We Concentrate On the Sign Of Above Formulas, These Are Different From Rail Problems.In First Formula water Stream And Boat Is in Same Direction But Sign Is + Not Minus Like Rail Problems.
This Is The Key For Learning These Formulas And Remove Confusion About These Problems.
Important Formulas:
If We Take Speed In Downstream Condition = S1 Km/hour
Speed In upstream Condition = S2 Km/hour

• Speed In Constant Water = 1/2(S1+S2) Km/hour.
• Rate Of Stream: 1/2(S1-S2) km/hour.

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

04:00 - By Unknown 0