This is the most important section in SSC CGL Exam. This section can be the base for the candidate to get into the merit list. Important topics of the section are:
1. Algebra
Areas to focus – Algebraic Identities, Factorization & Simplification of Polynomials and Simplification of Fractions.
Useful Formulas
(x + y)2 = x2 + y2 + 2xy
(x – y)2 = x2 + y2 – 2xy
(x2 – y2) = (x + y) (x – y)
(x + y)3 = x3 + y3 + 3xy(x + y)
(x – y)3 = x3 – y3 – 3xy(x – y)
(x3 + y3) = (x + y) (x2 + y2 – xy)
(x3 – y3) = (x – y) (x2 + y2 + xy)
(x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx)
(x3 + y3 + z3 – 3xyz) = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
If x + y + z = 0, then x3 + y3 + z3 = 3xyz
2. Trigonometry
You should only focus on basics. There is no need to study deeply.
Grab basic knowledge about “Theta (θ)” i.e. sin θ, cos θ, tan θ, cot θ, sec θ, cosec θ and their relationship.
Useful Formulas
Pythagorean Identities
sin2 θ + cos2 θ = 1
tan2 θ + 1 = sec2 θ
cot2 θ + 1 = csc2 θ
Negative of a Function
sin (–x) = –sin x
cos (–x) = cos x
tan (–x) = –tan x
csc (–x) = –csc x
sec (–x) = sec x
cot (–x) = –cot x
If A + B = 90o, Then
Sin A = Cos B
Sin2A + Sin2B = Cos2A + Cos2B = 1
Tan A = Cot B
Sec A = Csc B
3. Geometry
You should focus on properties of Lines, Angle, Triangle, Quadrilateral, Polygon, Circle and Concept of Triplet.
Useful Formulas
Triangles:
By Sides:
Scalene – no congruent sides
Isosceles – 2 congruent sides
Equilateral – 3 congruent sides
By Angles:
Acute – all acute angles
Right – one right angle
Obtuse – one obtuse angle
Equiangular – 3 congruent angles(60º)
Equilateral ↔ Equiangular
Exterior angle of a triangle equals the sum of the 2 non-adjacent interior angles.
Mid-segment of a triangle is parallel to the third side and half the length of the third side.
Similar Triangles:
AA = “Angle-Angle” (two angles are same)
SSS = “Side-Side-Side” (All sides are same)
SAS =”Side-Angle-Side” (Two sides and one angle is same)
4. Profit & Loss
You have to make strong the concepts of basic calculation and approximation in order to save your time.
Useful formulas
If there is a Profit
Profit / Gain = S.P. – C.P.
Profit % = Profit / (C P) × 100
P. = (100 + Gain %) / 100 × C.P.
P. = 100 / (100 + Gain %) × S.P.
If there is a Loss
Loss = C.P. – S.P.
Loss % = Loss / (C.P.) × 100
P. = (100 – Loss %) / 100 × C.P.
P. = 100 / (100 – Loss %) × S.P.
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