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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