SSC CGL Advanced Preparation
Advanced Quantitative Aptitude
PERCENTAGE — QUICK METHODS:
x% of y = y% of x (use this to simplify)
Successive % change: a% then b% = a + b + ab/100
Population formula: P(1 + r/100)^n
PROFIT AND LOSS:
SP = CP × (100 + profit%)/100
CP = SP × 100/(100 + profit%)
Discount on MP: SP = MP × (100 - discount%)/100
Successive discounts d1%, d2%: effective = d1+d2 - d1×d2/100
TIME AND WORK:
A does in x days → A's 1-day work = 1/x
A+B together: 1/x + 1/y = 1/(combined days)
Pipes and cisterns: same concept as time-work
TIME, SPEED, DISTANCE:
Distance = Speed × Time
Relative speed (same direction): |S1 - S2|
Relative speed (opposite): S1 + S2
Average speed: 2S1×S2/(S1+S2) (harmonic mean)
SIMPLE vs COMPOUND INTEREST:
SI = P×R×T/100
CI = P(1+R/100)^T - P
CI - SI (2 years) = P(R/100)^2
TRIGONOMETRY:
sin²θ + cos²θ = 1 | 1 + tan²θ = sec²θ | 1 + cot²θ = cosec²θ
sin 30=0.5 | sin 45=1/√2 | sin 60=√3/2 | sin 90=1
cos 30=√3/2 | cos 45=1/√2 | cos 60=0.5 | cos 90=0
tan 30=1/√3 | tan 45=1 | tan 60=√3
GEOMETRY:
Triangle: area = ½ × b × h | Pythagoras: a²+b²=c²
Circle: area = πr² | circumference = 2πr
Sector area = (θ/360) × πr²
Cylinder: volume = πr²h | CSA = 2πrh | TSA = 2πr(r+h)
Cone: volume = ⅓πr²h | CSA = πrl | l = √(r²+h²)Advanced Reasoning
CODING-DECODING TYPES:
Letter coding: A=1, Z=26 or reverse (A=26, Z=1)
Number coding: each letter gets a number by rule
Symbol coding: letters replaced by symbols
Conditional coding: apply conditions to code
NEW PATTERN (SSC trend): paragraph + code table → decode sentence
BLOOD RELATIONS:
Draw family tree diagram for complex questions
Generation level: grandfather(2), parent(1), same(0), child(-1)
Key: establish anchor person, then map relationships
SERIES PATTERNS:
Arithmetic: difference constant | Geometric: ratio constant
Mixed: alternate terms different series
Prime numbers: 2,3,5,7,11,13,17,19,23...
Squares: 1,4,9,16,25,36,49,64,81,100
Cubes: 1,8,27,64,125,216,343
ANALOGY TYPES:
Synonymy: hot:warm :: cold:cool
Antonymy: day:night :: white:black
Functional: doctor:hospital :: teacher:school
Degree: warm:hot :: cool:cold
Part-whole: wheel:car :: page:bookStudy Resources
•Rakesh Yadav Arithmetic — best for SSC Maths, detailed tricks
•KD Campus / Paramount Reasoning — SSC-specific reasoning practice
•Lucent GK — static GK bible for SSC
•Previous Year Papers (2015-2024) — SSC repeats questions — mandatory practice

