Proof

Every answer in these books was checked by code before printing.

An answer key is only as good as the person who wrote it, and printed keys are often wrong. So we do not trust ours. Each question in our books carries a small program that works the answer out again, on its own, without looking at the options. The book is not allowed to print unless that answer matches the keyed option, and no other option.

Worked out again

For a sum, the program does the arithmetic from the question's own numbers. For a seating plan, a puzzle or a figure, the chapter's proof script tries every arrangement and keeps only the one the clues allow.

Matched to the key

The answer it finds must equal the keyed option and must not equal any other option. Where an answer is a word, not a number, the key must match a listed meaning or the exact worded answer.

No pass, no print

Each chapter has a gate. One failed check stops the chapter from printing until it is fixed. This page shows what each gate found the last time it ran.

10,734questions and worked examples
10,734answer checks run
134 of 134chapters passed their gate
32chapter proof scripts

Last run: 4 Nov 2026. The figures below are counts only; the questions themselves stay in the books.

Turron Quantitative Aptitude for SSC, Banking and Railway Exams

44 chapters · 3,275 questions · 448 worked examples · 3,723 checks run · every chapter passed

Ch.ChapterQuestionsExamplesChecks runBy computationBy exact textGate
1Number System and Divisibility112151271225Pass
2HCF and LCM831295869Pass
3Fractions and Decimals60969645Pass
4Simplification and Approximation112141261242Pass
5Powers, Roots and Surds103141179225Pass
6Sequences and Number Series113151281280Pass
7Linear Equations and Word Problems801090855Pass
8Problems on Ages50656542Pass
9Algebraic Identities101141159817Pass
10Quadratic Equations96131096841Pass
11Logarithms44852475Pass
12Percentage1341715113912Pass
13Profit, Loss and Discount1301614613313Pass
14Ratio, Proportion and Variation103151188632Pass
15Partnership50757534Pass
16Average90121021011Pass
17Mixture and Alligation7011816120Pass
18Simple Interest741084804Pass
19Compound Interest97121091090Pass
20True Discount, Banker's Discount and Shares29433312Pass
21Time and Work117131301291Pass
22Pipes and Cisterns50757552Pass
23Speed, Time and Distance100121121066Pass
24Problems on Trains60868644Pass
25Boats and Streams50656542Pass
26Races and Games33639372Pass
27Clocks347413110Pass
28Calendar316371324Pass
29Lines, Angles and Triangles1161312911712Pass
30Circles and Polygons100131131121Pass
31Mensuration: Plane Figures115141291236Pass
32Mensuration: Solids100121121075Pass
33Coordinate Geometry418492425Pass
34Trigonometry92121048420Pass
35Heights and Distances40747461Pass
36Permutations and Combinations521062620Pass
37Probability701080800Pass
38Mean, Median and Mode31940400Pass
39Tables526584612Pass
40Bar Graphs52759509Pass
41Pie Charts50757498Pass
42Line Graphs50656488Pass
43Caselets and Mixed Charts53760528Pass
44Data Sufficiency55863063Pass

Turron Reasoning: Verbal, Non-Verbal and Analytical for SSC, Banking and Railway Exams

38 chapters · 2,337 questions · 358 worked examples · 2,695 checks run · every chapter passed

Ch.ChapterQuestionsExamplesChecks runBy computationBy exact textChapter's proof script saidGate
1Analogy99131122785analogy: 49 rule items computed, 63 word items matched to their relation recordPass
2Classification and Odd One Out701080080classification: 80 keys proved, no battery property isolates another optionPass
3Letter and Number Series100141145757verify: 114 proved, 0 failuresPass
4Alphanumeric Sequences601171071… and 11 examples solved from the sequence, each matching its key alonePass
5Coding and Decoding110141249115110 questions and 14 examples provedPass
6Dictionary Order and Word Formation577641054word-order: 64 answers provedPass
7Missing Numbers in Figures601070646… 70 answers proved; 606 rival rule readings fit and none selects another optionPass
8Ranking and Order7310834934ranking-order: 83 answers proved by modelling rows, orders and clocksPass
9Symbols and Operations7011815031math-operations: 70 items and 11 examples proved, 0 failuresPass
10Coded and Direct Inequalities711182082inequalities: 82 answers proved over 17162 listed orderings, 0 failuresPass
11Venn Diagrams and Sets609693633venn-reasoning: 69 keys proved, 32 figures redrawnPass
12Blood Relations96121080108blood-relations: 108 of 108 proved by the family modelPass
13Direction and Distance8010903456direction-distance: 90 answers proved by modelling each journeyPass
14Seating Arrangement110131230123110 questions and 13 examples proved over 50 seatings, each uniquePass
15Puzzles110121220122… 122 answers proved over 28 enumerated sets, 21 of the practice sets uniquePass
16Machine Input and Output60868068… and 8 examples proved; every illustration re-read and its rule family searchedPass
17Data Sufficiency in Reasoning56106606666 verdicts proved by enumerating every worldPass
18Clock and Calendar Reasoning4411552233verified 55 of 55: clock images, angles, dates and day logicPass
19Decision Making and Situations40848246… by enumerating unstated facts; 13 situation items judged by the stated testPass
20Same Name and Address Matching33538132538 comparisons recomputed from the printed stringsPass
21Figure Series60767067nv-series: 67 figure questions proved by the rulePass
22Figure Analogy5075705750 questions, 7 examples provedPass
23Figure Odd One Out42850050… questions proved: rule three to one, no rival property, strips match the dataPass
24Figure Matrix and Square Completion401151645nv-matrix: 51 puzzles proved, 40 items keyedPass
25Counting Figures40949490nv-counting: 40 questions and 9 examples proved by counting each drawn figurePass
26Embedded Figures and Figure Completion4064634346 answers proved from figure dataPass
27Mirror and Water Images55863459verify: 63 answers proved, 55 questionsPass
28Paper Folding and Cutting50858850… holes, cuts and outlines by exact reflection, figures redrawn from the proofPass
29Cubes and Dice711384523284 answers proved by nv_lib, figures redrawn, all rules hold on 11 netsPass
30Figure Formation, Dots and Grouping4074704747 keys proved: 40 questions, 7 examplesPass
31Syllogism102121143111… 4, 'one_fails': 1, 'count': 3, 'missing': 4, 'pair': 4, 'impossible': 2}Pass
32Statements and Conclusions551166066nonePass
33Statements and Assumptions511061061nonePass
34Statements and Arguments40747047nonePass
35Course of Action40747047nonePass
36Cause and Effect32537037nonePass
37Assertion and Reason30636036assertion-reason: 36 verdicts derived, 16 computed, 20 from the fact tablePass
38Passage Inference40747047nonePass

Turron English Vocabulary

52 chapters · 3,969 questions · 347 worked examples · 4,316 checks run · every chapter passed

Ch.ChapterQuestionsExamplesChecks runBy word listBy exact textGate
1How Synonym and Antonym Questions Work807877611Pass
2Good Character and Praise9281008416Pass
3Faults, Vices and Blame9481029012Pass
4Feelings and Moods90898908Pass
5Speech, Writing and Silence9481028517Pass
6Thought, Knowledge and Foolishness9481029111Pass
7Power, Authority and Rebellion908988810Pass
8Amount, Size and Wealth90999927Pass
9Change, Movement and Time9481029111Pass
10Truth, Deceit and Law90797898Pass
11Help, Harm and Danger9581038617Pass
12Appearance, Nature and the Senses9991089414Pass
13Effort, Success and Failure908988513Pass
14People Together: Manners and Relations9681049410Pass
15Hard Words That Fit Nowhere Else93101038815Pass
16People by Belief and Character89897889Pass
17Professions and Experts72678726Pass
18Sciences and Fields of Study726786612Pass
19Government and Social Systems60565605Pass
20Killing, Death and Crime61667652Pass
21Fears, Loves and Obsessions62668617Pass
22Places, Homes and Groups786847311Pass
23Speech, Writing and Literature726786711Pass
24Acts, States and Things957102957Pass
25Idioms from the Body706766412Pass
26Idioms from Animals and Nature706765917Pass
27Idioms from Colours, Food and Things726786612Pass
28Idioms of Success, Effort and Failure706764729Pass
29Idioms of Trouble and Conflict736794930Pass
30Idioms of People and Behaviour747816318Pass
31Proverbs605652936Pass
32Phrasal Verbs: Come, Go, Get, Give615664917Pass
33Phrasal Verbs: Take, Put, Set, Keep625674621Pass
34Phrasal Verbs: Bring, Break, Call, Carry, Cut605654718Pass
35Phrasal Verbs: Look, Make, Run, Turn, Pass625675017Pass
36Phrasal Verbs: The Rest605654817Pass
37Homophones736791168Pass
38Homonyms and Words of Two Meanings657725121Pass
39Commonly Confused Words838911378Pass
40Spelling Rules858937518Pass
41Spelling: Endings807876819Pass
42Spelling: Double and Silent Letters909996534Pass
43Fixed Prepositions: Verbs707772156Pass
44Fixed Prepositions: Adjectives and Nouns796851471Pass
45Foreign Words and Phrases53558499Pass
46Roots: Latin515562828Pass
47Roots: Greek504542826Pass
48Prefixes and Suffixes504543420Pass
49Newspaper Words: Economy and Business626685513Pass
50Newspaper Words: Governance, Law and Society625675611Pass
51Newspaper Words: Science, Environment and Opinion605655411Pass
52Vocabulary in Context120101304126Pass

Reading the table