General Intelligence and Reasoning
- Blood Relations: Gender-Neutral Rule — Mother's/Father's brother = Uncle; Mother's/Father's sister = Aunt; Brother's/Sister's son = Nephew; Brother's/Sister's daughter = Niece. Always trace from the reference person outward step-by-step.
- Directions: NEWS Clock Method — Imagine a clock: North=12, East=3, South=6, West=9. Right turn = clockwise (+90°), Left turn = anticlockwise (−90°), About turn = 180°. Track net angle to find final direction.
- Coding: Letter-Position Values — A=1, B=2...Z=26. For reverse: A=26, B=25...Z=1. Common pattern: add/subtract fixed number or reverse position. Always check if vowels/consonants treated separately.
- Dice Opposite Faces — In standard dice: 1-6, 2-5, 3-4 are opposite pairs. If two faces shown adjacent in a view, the third pair's faces are on top/bottom.
- Mirror Image: ATOHVWXYM Rule — Letters A, T, O, H, V, W, X, Y, M look identical in vertical mirror. All others invert horizontally; numbers 0, 1, 8 stay same.
- Syllogism: Euler Diagram Method — Draw circles for each category. "All A are B" = A-circle inside B-circle. "Some A are B" = overlapping circles. "No A are B" = separate circles. Visual test each conclusion.
General Awareness
- Indian Freedom Struggle Dates: 1857-1947 — Remember 1857 (Revolt), 1885 (Congress formed), 1905 (Bengal Partition), 1919 (Jallianwala), 1930 (Salt March), 1942 (Quit India), 1947 (Independence) — 9-decade span, major events every 15-25 years.
- Indian Constitution: Date 26s — 26 Jan 1950 (Republic Day = Constitution enforced), 26 Nov 1949 (Constitution adopted), 26 Jan 1930 (Purna Swaraj Day). The number 26 anchors constitutional milestones.
- pH Scale Memory — pH <7 = Acid (Lemon, Vinegar), pH=7 = Neutral (Pure water), pH >7 = Base/Alkali (Soap, Bleach). Mnemonic: "Acid Low, Base High."
- Vitamins Deficiency Diseases — A=Night blindness, B1=Beriberi, B12=Anemia, C=Scurvy, D=Rickets, E=Sterility, K=Blood clotting issues. "ABCDE-K keeps body disease-free."
- Planets Order: MVEMJSUNp — My Very Educated Mother Just Showed Us Nachos (pluto) = Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, (Pluto dwarf).
- Indian Geography: River-Origin Points — Ganga (Gangotri), Yamuna (Yamunotri), Godavari (Trimbakeshwar), Krishna (Mahabaleshwar), Kaveri (Talakaveri). "Tri-Maha-Tala" for Deccan rivers.
Quantitative Aptitude
- Divisibility by 11 — Alternating digit sum: (sum of odd-position digits) − (sum of even-position digits) must be 0 or multiple of 11. Example: 121→(1+1)−2=0, divisible.
- Percentage-Fraction Quick Converts — 12.5%=1/8, 16.67%=1/6, 20%=1/5, 25%=1/4, 33.33%=1/3, 50%=1/2, 66.67%=2/3, 75%=3/4. Memorize these eight for instant mental math.
- Profit/Loss Formula Shortcut — If CP=100, then SP=100+Profit% or 100−Loss%. Two successive discounts d1%, d2%: Net = d1+d2−(d1×d2)/100. Same for hikes.
- Time-Speed-Distance: Relative Speed — Same direction: Relative Speed = S1−S2. Opposite direction: Relative Speed = S1+S2. Overtaking/meeting time = Distance/Relative Speed.
- SI vs CI for 2 Years — Difference = P×(R/100)². For 3 years: P×R²×(300+R)/100³. This difference question appears every SSC cycle—memorize the formulas.
- Average: New Member Formula — New Average = Old Avg + (Difference × Number of new members)/(Total members). If one leaves: new avg = old avg + (old−leaver)/(remaining).
- Mixture Alligation: Cross Method — Draw X: Mean in center, cheaper/dearer on left/right top corners, differences (cross-subtract) in opposite bottom corners. Ratio = bottom-left : bottom-right.
- Geometry: Angle-Sum Polygons — Sum of interior angles = (n−2)×180°. Each interior angle of regular n-gon = (n−2)×180°/n. Exterior angle sum always 360°.
- Mensuration: Cube/Cuboid Memory — Cube: TSA=6a², LSA=4a², Volume=a³, Diagonal=a√3. Cuboid: TSA=2(lb+bh+hl), Volume=lbh, Diagonal=√(l²+b²+h²).
- Trigonometry: Allied Angles — sin(90°−θ)=cosθ, cos(90°−θ)=sinθ, tan(90°−θ)=cotθ. sin(90°+θ)=cosθ, cos(90°+θ)=−sinθ. sin(180°−θ)=sinθ, cos(180°−θ)=−cosθ.
- Number System: Cyclicity of Last Digits — 2(4-cycle):2,4,8,6; 3(4):3,9,7,1; 4(2):4,6; 7(4):7,9,3,1; 8(4):8,4,2,6; 9(2):9,1. Divide exponent by cycle-length, remainder gives position.
English Comprehension
- Active↔Passive Structure — Active: Subject+Verb+Object → Passive: Object+is/am/are/was/were+V3+by+Subject. Tense stays same; by-agent often droppable if obvious.
- Narration Time-Shift Rule — Direct→Indirect: Today→That day, Tomorrow→Next/Following day, Yesterday→Previous day, Now→Then, This→That, Here→There, Come→Go. Tense back-shifts (except universal truths).
- Synonym-Antonym: Root-Prefix Trick — Prefixes un-, in-, dis-, non-, anti-, de- usually form antonyms. Latin roots: bene=good, mal=bad, mit=send, voc=call, scrib=write. Learn 50 roots for 500+ words.
- One-Word Substitutions: Common Patterns — -cide (killing): Homicide, Suicide, Genocide. -phobia (fear): Claustrophobia, Hydrophobia. -logy (study): Biology, Geology. -ist (person): Artist, Scientist. Learn suffix families.
- Idioms: Body-Parts Category — "Cost an arm and a leg"=expensive; "Cold feet"=nervous; "By heart"=memorize; "Green thumb"=gardening skill; "Sweet tooth"=love sweets. Group by theme: 20 body, 20 animal, 20 color idioms.