| export interface AptitudeChapter { |
| id: string; |
| title: string; |
| description: string; |
| howToSolve: { |
| steps: string[]; |
| formulas: string[]; |
| example: { |
| question: string; |
| solution: string; |
| }; |
| }; |
| } |
|
|
| export interface AptitudeSubGroup { |
| id: string; |
| title: string; |
| icon: string; |
| chapters: AptitudeChapter[]; |
| } |
|
|
| export interface AptitudeGroup { |
| id: string; |
| title: string; |
| icon: string; |
| subGroups?: AptitudeSubGroup[]; |
| chapters?: AptitudeChapter[]; |
| } |
|
|
| export const aptitudeData: AptitudeGroup[] = [ |
| { |
| id: 'quant', |
| title: 'Quantitative Aptitude', |
| icon: '🔢', |
| subGroups: [ |
| { |
| id: 'arithmetic', |
| title: 'Arithmetic', |
| icon: '🧮', |
| chapters: [ |
| { |
| id: 'percentage', |
| title: 'Percentage', |
| description: 'Learn how to calculate percentages, percentage increase/decrease, and its applications.', |
| howToSolve: { |
| steps: [ |
| "Understand the basic concept: Percentage means 'per hundred'.", |
| "To convert a fraction to a percentage, multiply by 100.", |
| "To find x% of y, use the formula: (x/100) * y.", |
| "For percentage change: ((New Value - Old Value) / Old Value) * 100." |
| ], |
| formulas: [ |
| "Percentage = (Part / Whole) * 100", |
| "Percentage Increase = (Increase / Original Value) * 100", |
| "x% of y = (x * y) / 100" |
| ], |
| example: { |
| question: "If a student scores 450 out of 600, what is the percentage?", |
| solution: "Percentage = (450 / 600) * 100 = 0.75 * 100 = 75%." |
| } |
| } |
| }, |
| { |
| id: 'profit-loss', |
| title: 'Profit & Loss', |
| description: 'Master the concepts of Cost Price, Selling Price, Profit, and Loss.', |
| howToSolve: { |
| steps: [ |
| "Identify Cost Price (CP) and Selling Price (SP).", |
| "If SP > CP, it's a Profit. Profit = SP - CP.", |
| "If CP > SP, it's a Loss. Loss = CP - SP.", |
| "Calculate percentage using CP as the base." |
| ], |
| formulas: [ |
| "Profit % = (Profit / CP) * 100", |
| "Loss % = (Loss / CP) * 100", |
| "SP = CP * (100 + Profit%) / 100" |
| ], |
| example: { |
| question: "An item bought for $200 is sold for $250. Find the profit percentage.", |
| solution: "Profit = 250 - 200 = 50. Profit % = (50 / 200) * 100 = 25%." |
| } |
| } |
| }, |
| { |
| id: 'interest', |
| title: 'Simple & Compound Interest', |
| description: 'Calculate interest earned or paid over time.', |
| howToSolve: { |
| steps: [ |
| "Identify Principal (P), Rate (R), and Time (T).", |
| "For Simple Interest, use the direct formula.", |
| "For Compound Interest, calculate amount first then subtract principal.", |
| "Ensure time is in years and rate is per annum." |
| ], |
| formulas: [ |
| "SI = (P * R * T) / 100", |
| "CI Amount = P(1 + R/100)^T", |
| "CI = Amount - P" |
| ], |
| example: { |
| question: "Find SI on $1000 at 5% for 2 years.", |
| solution: "SI = (1000 * 5 * 2) / 100 = 100." |
| } |
| } |
| }, |
| { |
| id: 'ratio', |
| title: 'Ratio & Proportion', |
| description: 'Compare quantities and solve proportional relationships.', |
| howToSolve: { |
| steps: [ |
| "Express the ratio in its simplest form.", |
| "For proportions, product of extremes = product of means.", |
| "Divide a quantity in a given ratio by finding the value of one part.", |
| "Use 'x' to represent common multipliers." |
| ], |
| formulas: [ |
| "Ratio a:b = a/b", |
| "If a:b = c:d, then ad = bc", |
| "Duplicate Ratio of a:b = a²:b²" |
| ], |
| example: { |
| question: "Divide $100 in ratio 2:3.", |
| solution: "Total parts = 2+3=5. 1 part = 100/5=20. Parts are 40 and 60." |
| } |
| } |
| }, |
| { |
| id: 'average', |
| title: 'Average', |
| description: 'Calculate the central value of a set of numbers.', |
| howToSolve: { |
| steps: [ |
| "Sum all the given values.", |
| "Count the total number of values.", |
| "Divide the sum by the count.", |
| "For weighted average, multiply each value by its weight before summing." |
| ], |
| formulas: [ |
| "Average = Sum of observations / Number of observations", |
| "Sum = Average * Count", |
| "Average of first 'n' natural numbers = (n+1)/2" |
| ], |
| example: { |
| question: "Average of 10, 20, 30?", |
| solution: "Sum = 60. Count = 3. Average = 60/3 = 20." |
| } |
| } |
| }, |
| { |
| id: 'mixtures', |
| title: 'Mixtures & Allegations', |
| description: 'Solve problems involving mixing of two or more ingredients.', |
| howToSolve: { |
| steps: [ |
| "Identify the cost/concentration of two ingredients.", |
| "Identify the mean price/concentration of the mixture.", |
| "Use the allegation rule to find the ratio of mixing.", |
| "Apply the ratio to find specific quantities." |
| ], |
| formulas: [ |
| "Ratio (Cheaper/Dearer) = (Dearer Price - Mean Price) / (Mean Price - Cheaper Price)", |
| "Quantity of Cheaper / Quantity of Dearer = (d - m) / (m - c)" |
| ], |
| example: { |
| question: "Mix rice at $20/kg and $30/kg to get $24/kg mixture. Find ratio.", |
| solution: "Ratio = (30 - 24) / (24 - 20) = 6 / 4 = 3:2." |
| } |
| } |
| }, |
| { |
| id: 'tsd', |
| title: 'Time, Speed & Distance', |
| description: 'Understand the relationship between speed, time, and distance covered.', |
| howToSolve: { |
| steps: [ |
| "Identify the two known variables among Distance, Speed, and Time.", |
| "Ensure units are consistent (e.g., km/hr or m/s).", |
| "Use the basic formula to find the third variable.", |
| "For relative speed, add speeds if opposite directions, subtract if same." |
| ], |
| formulas: [ |
| "Distance = Speed * Time", |
| "Speed = Distance / Time", |
| "1 km/hr = 5/18 m/s", |
| "Average Speed = Total Distance / Total Time" |
| ], |
| example: { |
| question: "A car travels 150km in 3 hours. Find its speed.", |
| solution: "Speed = 150 / 3 = 50 km/hr." |
| } |
| } |
| }, |
| { |
| id: 'time-work', |
| title: 'Time & Work', |
| description: 'Calculate the time taken to complete a task by individuals or groups.', |
| howToSolve: { |
| steps: [ |
| "Find the work done by each person in one day (1/time).", |
| "Add their one-day work to find combined efficiency.", |
| "The reciprocal of combined efficiency is the total time taken.", |
| "For efficiency problems, use the ratio of work done." |
| ], |
| formulas: [ |
| "If A takes 'x' days, A's 1 day work = 1/x", |
| "Together (A+B) 1 day work = 1/x + 1/y", |
| "Total Time = 1 / (Combined 1 day work)" |
| ], |
| example: { |
| question: "A takes 10 days, B takes 15 days. Together?", |
| solution: "1/10 + 1/15 = 5/30 = 1/6. Total time = 6 days." |
| } |
| } |
| }, |
| { |
| id: 'pipes', |
| title: 'Pipes & Cisterns', |
| description: 'Solve problems involving filling and emptying of tanks.', |
| howToSolve: { |
| steps: [ |
| "Treat filling pipes as positive work and leakages/emptying pipes as negative work.", |
| "Find the part of the tank filled/emptied in one hour.", |
| "Calculate net work done in one hour.", |
| "The reciprocal of net work is the total time to fill/empty the tank." |
| ], |
| formulas: [ |
| "Part filled in 1 hr = 1 / (Time to fill)", |
| "Net work = (1/fill_time) - (1/empty_time)", |
| "If net work is positive, tank fills. If negative, it empties." |
| ], |
| example: { |
| question: "Pipe A fills in 4h, Pipe B empties in 6h. Time to fill if both open?", |
| solution: "Net work = 1/4 - 1/6 = (3-2)/12 = 1/12. Time = 12 hours." |
| } |
| } |
| } |
| ] |
| }, |
| { |
| id: 'algebra-geom', |
| title: 'Algebra & Geometry', |
| icon: '📐', |
| chapters: [ |
| { |
| id: 'algebra', |
| title: 'Algebra', |
| description: 'Linear equations, quadratic equations, and inequalities.', |
| howToSolve: { |
| steps: [ |
| "Isolate the variable on one side of the equation.", |
| "For quadratic equations, use the quadratic formula or factoring.", |
| "Check for extraneous solutions in radical equations.", |
| "Follow BODMAS/PEMDAS for simplification." |
| ], |
| formulas: [ |
| "Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a", |
| "(a + b)² = a² + 2ab + b²", |
| "(a - b)² = a² - 2ab + b²" |
| ], |
| example: { |
| question: "Solve for x: 2x + 5 = 15", |
| solution: "2x = 15 - 5 => 2x = 10 => x = 5." |
| } |
| } |
| }, |
| { |
| id: 'geometry', |
| title: 'Geometry', |
| description: 'Area, perimeter, volume, and surface area of various shapes.', |
| howToSolve: { |
| steps: [ |
| "Identify the shape and the required metric (Area/Perimeter).", |
| "Ensure all units are consistent (e.g., all in cm).", |
| "Apply the specific formula for the shape.", |
| "For complex shapes, break them down into simpler ones." |
| ], |
| formulas: [ |
| "Area of Circle = πr²", |
| "Area of Triangle = 1/2 * base * height", |
| "Volume of Cylinder = πr²h" |
| ], |
| example: { |
| question: "Find area of a circle with radius 7cm.", |
| solution: "Area = (22/7) * 7 * 7 = 154 sq. cm." |
| } |
| } |
| } |
| ] |
| } |
| ] |
| }, |
| { |
| id: 'logical', |
| title: 'Logical Reasoning', |
| icon: '🧠', |
| chapters: [ |
| { |
| id: 'coding-decoding', |
| title: 'Coding-Decoding', |
| description: 'Identify patterns in letters and numbers to decode messages.', |
| howToSolve: { |
| steps: [ |
| "Write down the alphabet with their positions (A=1, B=2... Z=26).", |
| "Observe the relationship between the original word and the code.", |
| "Check for shifts (e.g., +1, -2) or reverse positions.", |
| "Apply the same logic to the target word." |
| ], |
| formulas: [ |
| "Forward Position: A=1, B=2...", |
| "Backward Position: Z=1, Y=2...", |
| "Opposite Letters: A-Z, B-Y, C-X (Sum of positions = 27)" |
| ], |
| example: { |
| question: "If CAT is coded as DBU, how is DOG coded?", |
| solution: "C->D (+1), A->B (+1), T->U (+1). So DOG -> EPH." |
| } |
| } |
| }, |
| { |
| id: 'blood-relations', |
| title: 'Blood Relations', |
| description: 'Solve complex family tree problems using logical deductions.', |
| howToSolve: { |
| steps: [ |
| "Use symbols for genders (e.g., + for Male, - for Female).", |
| "Draw a family tree generation by generation.", |
| "Use horizontal lines for siblings and vertical for parents/children.", |
| "Double lines for married couples." |
| ], |
| formulas: [ |
| "Paternal: Father's side", |
| "Maternal: Mother's side", |
| "Siblings: Same generation" |
| ], |
| example: { |
| question: "Pointing to a man, a woman said, 'His mother is the only daughter of my mother.' How is the woman related to the man?", |
| solution: "Only daughter of woman's mother is the woman herself. So, the woman's mother is the man's mother. Woman is the Mother." |
| } |
| } |
| }, |
| { |
| id: 'puzzles', |
| title: 'Puzzles', |
| description: 'Circular, linear, and floor-based arrangements.', |
| howToSolve: { |
| steps: [ |
| "Read all clues and identify fixed positions first.", |
| "Use a diagram (Circle/Line/Grid) to represent the data.", |
| "Eliminate impossible scenarios based on constraints.", |
| "Fill in the remaining gaps logically." |
| ], |
| formulas: [ |
| "Circular: Left/Right depends on facing center or away.", |
| "Linear: North/South facing determines left/right.", |
| "Floor: Start from ground floor (1) upwards." |
| ], |
| example: { |
| question: "A, B, C are in a row. A is to the left of B. C is to the right of B. Who is in the middle?", |
| solution: "Order is A - B - C. B is in the middle." |
| } |
| } |
| } |
| ] |
| }, |
| { |
| id: 'verbal', |
| title: 'Verbal Ability', |
| icon: '🗣️', |
| chapters: [ |
| { |
| id: 'grammar', |
| title: 'Grammar', |
| description: 'Parts of speech, tenses, and error detection.', |
| howToSolve: { |
| steps: [ |
| "Check for Subject-Verb Agreement.", |
| "Verify the tense consistency throughout the sentence.", |
| "Look for common preposition and article errors.", |
| "Identify the main clause and subordinate clauses." |
| ], |
| formulas: [ |
| "Singular Subject -> Singular Verb", |
| "Plural Subject -> Plural Verb", |
| "Active Voice: Subject performs action" |
| ], |
| example: { |
| question: "Find error: Neither of the two boys are present.", |
| solution: "'Neither' is singular. So it should be 'is' instead of 'are'." |
| } |
| } |
| }, |
| { |
| id: 'reading-comp', |
| title: 'Reading Comprehension', |
| description: 'Strategies for solving RC passages effectively.', |
| howToSolve: { |
| steps: [ |
| "Skim the passage to understand the main theme.", |
| "Read the questions before reading the passage in detail.", |
| "Locate keywords from questions in the text.", |
| "Eliminate options that are too broad or not mentioned." |
| ], |
| formulas: [ |
| "Main Idea: Usually in 1st or last paragraph.", |
| "Tone: Author's attitude (Critical, Neutral, etc.)", |
| "Inference: What is implied but not stated." |
| ], |
| example: { |
| question: "What is the primary purpose of the author?", |
| solution: "Look for the central argument or the problem being discussed." |
| } |
| } |
| } |
| ] |
| }, |
| { |
| id: 'data-suff', |
| title: 'Data Sufficiency', |
| icon: '💻', |
| chapters: [ |
| { |
| id: 'ds-basics', |
| title: 'DS Basics', |
| description: 'Learn how to decide if the given data is enough to solve a problem.', |
| howToSolve: { |
| steps: [ |
| "Read the question carefully to understand what is asked.", |
| "Check Statement 1 alone. Does it give a unique answer?", |
| "Check Statement 2 alone. Does it give a unique answer?", |
| "If neither alone works, combine both statements.", |
| "Choose the option based on sufficiency." |
| ], |
| formulas: [ |
| "Option A: 1 alone is sufficient", |
| "Option B: 2 alone is sufficient", |
| "Option C: Both together are sufficient", |
| "Option D: Neither is sufficient" |
| ], |
| example: { |
| question: "What is x? (1) x + 2 = 5 (2) y = 10", |
| solution: "From (1), x=3. Sufficient. From (2), no info on x. So, (1) alone is sufficient." |
| } |
| } |
| } |
| ] |
| }, |
| { |
| id: 'advanced', |
| title: 'Advanced Topics', |
| icon: '🧮', |
| chapters: [ |
| { |
| id: 'probability', |
| title: 'Probability', |
| description: 'Calculate the likelihood of events occurring.', |
| howToSolve: { |
| steps: [ |
| "Find the total number of possible outcomes (Sample Space).", |
| "Find the number of favorable outcomes.", |
| "Divide favorable outcomes by total outcomes.", |
| "Ensure the result is between 0 and 1." |
| ], |
| formulas: [ |
| "P(E) = n(E) / n(S)", |
| "P(A or B) = P(A) + P(B) - P(A and B)", |
| "P(not E) = 1 - P(E)" |
| ], |
| example: { |
| question: "Probability of getting a head in a coin toss?", |
| solution: "Favorable = 1 (Head), Total = 2 (Head, Tail). P = 1/2." |
| } |
| } |
| }, |
| { |
| id: 'p-and-c', |
| title: 'Permutation & Combination', |
| description: 'Arrangements and selections of objects.', |
| howToSolve: { |
| steps: [ |
| "Determine if order matters (Permutation) or not (Combination).", |
| "Identify total items (n) and items to be selected (r).", |
| "Apply the appropriate factorial formula.", |
| "Consider constraints like repetitions or fixed positions." |
| ], |
| formulas: [ |
| "nPr = n! / (n-r)!", |
| "nCr = n! / [r! * (n-r)!]", |
| "n! = n * (n-1) * ... * 1" |
| ], |
| example: { |
| question: "In how many ways can 3 books be selected from 5?", |
| solution: "Order doesn't matter. 5C3 = 5! / (3! * 2!) = (5*4)/2 = 10." |
| } |
| } |
| } |
| ] |
| } |
| ]; |
|
|
