Quant carries the most marks in SSC CGL: 25 questions in Tier 1. Arithmetic comes first, then advanced maths. Start with Percentage, because most other topics reuse it.
18 tricks · high priority
Divisibility, remainders, unit digits and factors
- ⚡ Floor-division counting. Count multiples of k up to the end of the range, then subtract the multiples before the start. No listing needed. Number types, place value & counting →
- ⚡ Place value in one product. Place value minus face value equals digit times (position value minus 1). The 9999 pattern does it in one line. Number types, place value & counting →
- ⚡ Middle term times count. For any evenly spaced list, the sum equals the number of terms times the middle term. The middle term is the average of first and last. Number types, place value & counting →
All 18 trick titles in Number System
Unit digit & cyclicity- Last two digits of the exponent
- Even times five ends in zero
- Factorial sums stop at four terms
15 tricks · medium priority
Solve long calculations fast using BODMAS and shortcuts
- ⚡ Bracket every 'of'. Rewrite each 'of' as a bracketed product before doing any division. The bracket makes the grouping visible and kills the trap. BODMAS, 'of', brackets & vinculum →
- ⚡ Continued fractions from the bottom. Simplify the deepest fraction first, invert it, add the next layer, and repeat upward. BODMAS, 'of', brackets & vinculum →
- ⚡ Digit-sum check. Casting out nines: digit sums must match on both sides of the equals sign. It kills wrong options without computing the product. BODMAS, 'of', brackets & vinculum →
All 15 trick titles in Simplification
Surds & indices- Common base, then equate powers
- Split a + 2 root b
- Reciprocal by the a squared minus b check
Square roots & cube roots- Cube root by unit digit and leading group
- Square root by unit digit and size
- n equals k times k plus one radicals
Approximation- Swap the percentage
- Balanced rounding for products
- Anchors before bases
12 tricks · medium priority
Highest common factor and lowest common multiple
- ⚡ Ratio split. Numbers in ratio a : b (co-prime parts) with HCF h are ha and hb. LCM = h times a times b; sum = h times (a plus b). HCF & LCM: definitions and core relations →
- ⚡ Product divided by HCF. Given any two of product, HCF, LCM, the product relation settles the third in one division. HCF & LCM: definitions and core relations →
- ⚡ Co-prime pairs from the quotient. For pair-count questions, divide the product by the square of the HCF, then count co-prime factor pairs of the result. HCF & LCM: definitions and core relations →
All 12 trick titles in HCF & LCM
15 tricks · high priority
Percent basics, increase/decrease and fraction values
- ⚡ Let the fraction table do the division. Replace the percent with its fraction from the table. 12.5\% becomes \dfrac{1}{8}, so the sum turns into a simple division. Percentage meaning & conversions →
- ⚡ Build the percent from 10% and 1% pieces. Move the decimal point for 10\% and 1\%, then add pieces. Works without pen-and-paper multiplication. Percentage meaning & conversions →
- ⚡ Swap x% of y into y% of x. x\% of y always equals y\% of x. Swap when one side turns into a friendly percent. Percentage meaning & conversions →
All 15 trick titles in Percentage
15 tricks · high priority
Ratios, proportions, partnership and ages
- ⚡ x solves everything. Translate 'ratio a : b' into ax and bx. Every extra fact becomes one small equation in x. Ratio basics & dividing amounts →
- ⚡ LCM bridging for three terms. Scale A : B so its B-term matches the B-term of B : C, then read off A : B : C. Ratio basics & dividing amounts →
- ⚡ One share known, get the rest. Share = fraction × total. Recover the total from one share, then build any other share. Ratio basics & dividing amounts →
All 15 trick titles in Ratio, Proportion, Partnership & Ages
Partnership- One row per partner
- Cut comes off the top
- Equal shares, find the capital
Problems on ages- Multiplier plus shift
- Use the constant difference
- Bracket the present with two ratios
12 tricks · high priority
Average of a group, and what changes when people join or leave
- ⚡ Flip to the sum first. Never push averages around. Change them to sums, adjust, divide back at the end. Average & the sum bridge →
- ⚡ Same operation on every value. Do to the average exactly what is done to each value, in the same order. Average & the sum bridge →
- ⚡ Equal gaps: jump from the middle. The average of evenly spaced numbers is the middle term. Step out from it instead of adding everything. Average & the sum bridge →
All 12 trick titles in Average
15 tricks · high priority
Simple and compound interest
- ⚡ Cover the unknown. Write SI = \dfrac{PRT}{100} and cover the letter you want. That covered formula is the whole equation. Simple Interest →
- ⚡ n-times to rate. 'Becomes n times in T years' means the interest earned is (n-1)P. The P cancels. Simple Interest →
- ⚡ One year at a time. Divide the total interest by the years; every year carries exactly that much. Simple Interest →
All 15 trick titles in Interest (SI & CI)
Compound Interest- Multiply the chips
- Divide the chips to get P
- Half-yearly: halve rate, double count
14 tricks · high priority
Cost price, selling price, profit and discounts
- ⚡ Fraction swap for the per cent. Turn the profit into a fraction of CP and the per cent falls out. 170/850 is clearly 1/5. Profit, Loss and CP–SP Basics →
- ⚡ Divide by the chip to get CP. A loss of 4\% means the chip 96/100. Divide the SP by the chip, nothing else. Profit, Loss and CP–SP Basics →
- ⚡ Same per cent scales linearly. When the profit per cent is fixed, CP and SP scale together. Article counts often hide a clean ratio. Profit, Loss and CP–SP Basics →
All 14 trick titles in Profit, Loss & Discount
15 tricks · high priority
Mixing two things to get a target price or strength
- ⚡ Freeze the unchanged ingredient. Water added means milk unchanged. Hang the whole question on the ingredient that does not move. Mixture Concentration & Amounts →
- ⚡ Rebuild the per cent after dilution. Milk is fixed, the total grows — divide again. Mixture Concentration & Amounts →
- ⚡ One ratio change, one equation. Set the frozen ingredient against the wanted ratio and solve for the addition. Mixture Concentration & Amounts →
All 15 trick titles in Mixtures & Alligation
Mixing Two Mixtures- Fractions first, then average
- Alligate the fractions
- Weight by volume when sizes differ
15 tricks · high priority
Work done together, efficiency, and pipes filling tanks
- ⚡ LCM units, not fractions. Set the job to the LCM of the individual times; every rate becomes a small whole number. Work Rates & the LCM Method →
- ⚡ The ab over a+b reflex. For exactly two workers, one formula — no fraction addition at all. Work Rates & the LCM Method →
- ⚡ Three workers through the LCM. Same method with three rates added in one line. Work Rates & the LCM Method →
All 15 trick titles in Time & Work
Pipes & Cisterns- One inlet, one outlet: multiply over subtract
- Leak from two fill times
- Check the options before finishing
15 tricks · high priority
Trains, boats, relative speed and average speed
- ⚡ Convert first, always. Train lengths are in metres, times in seconds — reach m/s before anything else. Speed, Distance, Time & Unit Conversion →
- ⚡ Harmonic mean for round trips. Same distance out and back → 2ab/(a+b) in one line. Speed, Distance, Time & Unit Conversion →
- ⚡ Early and late gaps are time equations. Both runs cover the SAME distance — equate or subtract the two time expressions. Speed, Distance, Time & Unit Conversion →
All 15 trick titles in Time, Speed & Distance
Relative Speed- Subtract for the same direction
- Add for opposite directions
- Distance flown till meeting
Boats & Streams- Halve the sum, halve the difference
- Extract u and v from trip times
- Two double-trip equations
Races & Handicaps- Translate beats by x m into a speed ratio
- By x metres or t seconds reveals both speeds
- Handle the handicap
18 tricks · high priority
Identities, equations and simplifying algebraic expressions
- ⚡ Build higher powers from a sum and a product. Chain the rungs: square-sum first, then cube-sum, then fourth powers. The individual letters are never needed. Basic algebraic identities →
- ⚡ Recognise the identity inside decimals. Cubed decimals over a trinomial mean a cube identity. The value is the sum or difference of the bases. Basic algebraic identities →
- ⚡ Value-putting among expression options. Put small numbers into the question and each option. Wrong options die in one round; ties die in a second. Basic algebraic identities →
All 18 trick titles in Algebra
Basic algebraic identities- Build higher powers from a sum and a product
- Recognise the identity inside decimals
- Value-putting among expression options
19 tricks · high priority
Lines, angles, triangles, circles and polygons
- ⚡ Say the shape, then the rule. Trace the two angles with your finger. An F or Z shape means they are equal. A C shape means they add to 180^\circ. Lines and angles →
- ⚡ Supplement minus complement is always 90. Whatever the angle, its supplement and its complement differ by exactly 90^\circ. Use it as a free check, or to build the equation. Lines and angles →
- ⚡ Centre angles from one input. Only \angle A is needed. Read which centre the question names, then use its formula. Triangles and their centres →
All 19 trick titles in Geometry
Lines and angles- Say the shape, then the rule
- Supplement minus complement is always 90
Triangles and their centres- Centre angles from one input
- Centroid cut in the ratio 2 : 1
- Median in an isosceles triangle
- Heron families worth memorising
15 tricks · high priority
Area and perimeter of flat shapes
- ⚡ Triplet beats Heron. Before Heron, check for a triplet. A right triangle needs only half the product of its legs. Areas of triangles →
- ⚡ Isosceles: half it first. The median to the base is the height. Halve the base, then use Pythagoras with an equal side. Areas of triangles →
- ⚡ Two radii from Heron. After Heron gives the area, both radii are one division away: r divides by s, R uses abc over 4K. Areas of triangles →
All 15 trick titles in Mensuration (2D)
Areas of quadrilaterals- Rectangle identities, not quadratics
- Rhombus ratio to perimeter
- Diagonal splits any quadrilateral
15 tricks · medium priority
Volume and surface area of solid shapes
- ⚡ Cubes table, not cube roots. Know the cubes to 12 by heart. Reverse questions become look-ups: 343 is 7 cubed. Cube and cuboid →
- ⚡ Capacity: metres to litres. Compute the volume in cubic metres, then multiply by 1000 for litres. Never by 100. Cube and cuboid →
- ⚡ Edge scaling in powers. Edge times k: surface times k squared, volume times k cubed. Doubling is 4 and 8. Cube and cuboid →
All 15 trick titles in Mensuration (3D)
Cube and cuboid- Cubes table, not cube roots
- Capacity: metres to litres
- Edge scaling in powers
Cylinder- 154 and friends
- Scale the symbols, not the shape
- Melt: equate volumes
Cone- Hunt the triplet
- One-third both ways
- Tent = curved surface
15 tricks · high priority
Trig ratios, standard values and identities
- ⚡ The root-k-over-2 row. sin at 0, 30, 45, 60, 90 is root-0, root-1, root-2, root-3, root-4, all over 2. Cos is the same row reversed. Ratios and standard values →
- ⚡ Triplet finishes the ratios. Given sin = 3/5, place 3 and 5 in the triangle; the third side 4 completes 3-4-5 and every ratio follows. Ratios and standard values →
- ⚡ Angle from a value. Isolate the ratio, then match the table entry. 2 sin = root 3 means sin = root-3 over 2, the 60-degree slot. Ratios and standard values →
All 15 trick titles in Trigonometry
11 tricks · high priority
Find heights and distances using angles
- ⚡ Swap depression for elevation first. Never work with a downward angle directly. Redraw it at the bottom of the tower and solve an ordinary elevation question. Angles of elevation and depression →
- ⚡ Shadows without trigonometry. Same sun, same time, similar triangles. Set up the stick ratio and multiply; no tangent needed. Angles of elevation and depression →
- ⚡ Forty-five degrees means equal legs. Whenever the angle is 45^\circ, the height above the eye equals the horizontal distance. Write the equal pair without any tangent. Angles of elevation and depression →
All 11 trick titles in Heights and Distances
10 tricks · high priority
Mean, median, mode and range
- ⚡ Deviations from a round base. Pick a round number near the values. Add the small differences and divide by the count. The base can be anything. Mean, weighted mean and combined mean →
- ⚡ Watch where the average is pulled. The combined average always lies between the two group averages, closer to the bigger group. Use this to reject impossible options in seconds. Mean, weighted mean and combined mean →
- ⚡ Count positions, do not hunt. For odd n, the median sits at position (n+1)/2 of the sorted list. Count to that position instead of scanning for the middle by eye. Median and mode of raw data →
All 10 trick titles in Statistics
10 tricks · medium priority
Answer questions from tables, bar graphs and pie charts
- ⚡ Sweep the row with tick marks. For count-type questions (how many years above a value), tick the qualifying cells while reading once. No rewriting, no calculator. Reading tables: totals, differences, ratios →
- ⚡ Column-first for year questions. Any question about one year (best year, total of a year) lives in a single column. Add that column alone; ignore the rest of the table. Reading tables: totals, differences, ratios →
- ⚡ The 1% probe. Find 1% of the base first; then any percentage is that times n. 1% of 250 is 2.5, so 70 units is 28%. Percentage change and comparisons →
All 10 trick titles in Data Interpretation
13 tricks · medium priority
Selections, arrangements and chance — the modern-maths block shared by SSC, Banking and CAT papers. The topic is small, but a handful of repeating patterns (word arrangements, committees, bag draws, two-dice sums) make its marks near-guaranteed with a little practice.
- ⚡ Fill the restricted slot first. Even numbers, numbers ending in 5, no leading zero — the condition always lives in one slot. Fill that slot first, then the rest. Counting Principles: Product & Sum Rules →
- ⚡ AND multiply, OR add — say it out loud. Read the question and underline the joining words. 'And' multiplies counts; 'or' adds cases. Most counting errors are one wrong joining word. Counting Principles: Product & Sum Rules →
- ⚡ Block method for 'together'. Tie the must-together people into one bundle. Arrange the bundle with the others, then arrange inside the bundle. Permutations: Arrangements →
All 13 trick titles in Permutation, Combination & Probability
15 tricks · medium priority
Progressions are lists that follow a fixed rule: APs add a constant, GPs multiply by one, HPs hide an AP in their reciprocals, and special series come with ready-made sum formulas. Alongside term-pattern sequences, this block gives a quick mark in SSC, Railway and Banking papers and anchors the series questions of CAT algebra.
- ⚡ The middle term is the average. For an odd count of AP terms, sum = middle \times count. One division gives the middle term, and one multiplication gives the sum. Arithmetic Progressions →
- ⚡ Equidistant terms add to the same value. a_2 + a_{15}, a_1 + a_{16} — pairs placed equally far from the ends share one sum. A sum of all n terms then needs no a or d at all. Arithmetic Progressions →
- ⚡ Name three terms a-d, a, a+d. Three consecutive AP terms collapse to one unknown a plus d. Sum gives a at once; product or another condition then gives d. Arithmetic Progressions →
All 15 trick titles in Sequences & Progressions
Arithmetic Progressions- The middle term is the average
- Equidistant terms add to the same value
- Name three terms a-d, a, a+d
Geometric Progressions- Name three GP terms a/r, a, ar
- Sum to infinity reflex
- Bouncing ball: first drop once, pairs twice
15 tricks · medium priority
Sets, subsets and Venn diagrams: two- and three-group survey counting shared by SSC, Railway, Banking and CAT papers. A handful of formulas — union, inclusion–exclusion and max–min bounds — solve nearly every question. Most errors come from misreading regions, not from hard algebra.
- ⚡ Know powers of 2 by heart. Subset questions are pure powers of two. Learn 2, 4, 8, \ldots, 512 and every variant (proper, non-empty) becomes a one-step subtraction. Sets, Subsets & Power Sets →
- ⚡ Count what you do not want. For 'at least one of these elements' or 'non-empty proper', count the unwanted subsets and subtract from 2^n. Sets, Subsets & Power Sets →
- ⚡ De Morgan turns the question into one union. n(A' \cap B') looks scary. De Morgan converts it to n(U) - n(A \cup B), a two-line count. Sets, Subsets & Power Sets →
All 15 trick titles in Set Theory & Venn Diagrams
Two-Set Venn Diagrams- Fill the four regions, then read off
- Four regions must add to the total
- Exactly one subtracts the overlap twice
Three-Set Venn Diagrams- Add singles, subtract pairs, add the triple
- Exactly two: pair sum minus three times the triple
- Exactly one: singles minus twice the pairs plus three times the triple
15 tricks · medium priority
Function notation, graphs, modulus and logarithms — the algebra engine room of management exams. Banking and SSC papers meet it mainly in Tier 2 and higher-level sets, where 1–2 clean, formula-driven questions reward anyone who knows the standard moves.
- ⚡ Hunt the two troublemakers. For a domain, only two things can go wrong: a zero bottom or a negative root. Scan the rule for \div and \sqrt{}, write the condition, solve. Functions, domain & range →
- ⚡ Complete the square for range. Write ax^2 + bx + c as a(x - h)^2 + k. The square cannot go below 0, so k is the smallest (or largest) output. Functions, domain & range →
- ⚡ Test $f(-1)$ for even / odd. Compute f(-1) and compare with f(1) and -f(1). Equal means even, opposite means odd. Always confirm with the full rule f(-x). Functions, domain & range →
All 15 trick titles in Functions, Graphs & Logarithms
Logarithms- Translate to power language
- Fraction or root arguments: use negative and fractional powers
- Split products, pop powers
Modulus & equations- Think distance, not cases
- Band or arms — one glance
- Subtract the pins for the minimum