Study Material

Subject Topic Focus 🧠 Reasoning Syllogism + Venn Diagrams Concept + Visual Logic 📐 Quant Percentage Basics + Simple Word Problems Application 📖 English Active-Passive Voice + Spot the Error Grammar 🌏 GK Indian History – Ancient to Medieval Static GK 🧠 1. Reasoning – Syllogism + Venn Diagrams 🔍 Syllogism Basics: Syllogisms are logical statements like: All A are B Some B are C No A is C Trick: Use diagrams (circles) to visualize. Statements: All pens are books. Some books are tables. → Conclusions: a) Some pens are tables b) All books are pens ✅ Venn Diagram: Useful when multiple categories are involved. For example: Students who like Maths, Science, both, or neither. 🎯 Try These: Statements: All apples are fruits. No fruit is vegetable. → Conclusion: a) No apple is vegetable b) Some fruits are apples Draw Venn diagram: People who speak Hindi, English, both 📌 Try answering + sketch basic diagram if possible. 📐 2. Quant – Perc...

Subject Topic Focus Type 🧠 Reasoning Blood Relations + Direction Sense Concept + Practice 📐 Quant Simplification & BODMAS Speed + Accuracy 📖 English Cloze Test + One Word Substitution Comprehension 🌏 GK Indian Geography (Basics) Static + Map 🧠 1. Reasoning – Blood Relations + Direction 🔍 Blood Relations Basics: Mother’s brother = Uncle Father’s sister = Aunt Sister’s son = Nephew My father’s only son = Me Trick: Build a family tree! 🔍 Direction Sense: North ↑ South ↓ East → West ← Right turn from North = East Left turn from East = North 🎯 Practice (Try These): A is the son of B. B is the brother of C. C is the father of D. How is A related to D? Ram walks 5 km North, then turns right and walks 3 km. Then he turns right again and walks 5 km. Where is he now from starting point? Point A is to the West of B. Point C is to the South of B. In which direction is A with respect to C? 📌 Reply with your answers — I’ll walk you through th...

 ⏱️ Total Study Time: 6–8 hours Subject Topic 🧠 Reasoning Alphabet Series + Coding-Decoding 📐 Quant HCF, LCM Tricks + Application 📖 English Synonyms/Antonyms + Sentence Correction 🌏 GK Fundamental Rights + Static GK 🧠 1. Reasoning – Alphabet Series + Coding-Decoding ✅ Alphabet Series A=1, B=2, ..., Z=26 Understand forward & backward movement Practice patterns like: A, C, E, G, ?, ? Z, X, V, T, ? ✅ Coding-Decoding Basics Example: If CAT = DBU , then code logic is +1 for each letter. So, DOG = ? → EPH 🎯 Practice Now: A, C, F, J, O, ? If TABLE = UBCMF, then CHAIR = ? If MANGO = NZOHQ, what is the code for GRAPE? 📌 Try and send your answers — I’ll explain them. 📐 2. Quant – HCF & LCM ✅ Concepts: HCF : Highest number that divides both LCM : Smallest common multiple Formula: HCF × LCM = Product of two numbers 🎯 Practice: HCF of 60 and 48? LCM of 15, 20? If HCF = 6 and LCM = 120, what are possible numb...

  📘 DAY 1: FOUNDATION We’ll cover today: Reasoning – Number Series Quant – Number System Basics English – Vocabulary & Error Spotting GK – Indian Polity + Current Affairs 🧠 1. Reasoning – Number Series 🔍 Concept: A number series is a sequence that follows a logical rule. Your task is to find the next number or find the wrong one. 🧩 Example Patterns : Addition: 2, 4, 6, 8, __ (Answer: 10) Multiplication: 3, 6, 12, 24, __ (Answer: 48) Squares: 1, 4, 9, 16, __ (Answer: 25) Fibonacci: 1, 1, 2, 3, 5, 8, __ (Answer: 13) 🎯 Practice Now (Try these): 2, 6, 12, 20, 30, ? 5, 10, 20, 40, ? 100, 81, 64, 49, ? 1, 4, 9, 16, 25, ? 📌 Write answers and reply — I’ll check and explain. 📐 2. Quant – Number System Basics ✍️ Concepts: Types of Numbers: Natural: 1, 2, 3... Whole: 0, 1, 2... Even: 2, 4, 6... Prime: 2, 3, 5, 7... Divisibility Rules (Learn today for 2 to 6) Div by 2: Ends in 0, 2, 4, 6, 8 Div by 3:...

Focus : Two Pointer Technique 🔁 1. Learn & Implement Two Pointer Technique Understand how the two-pointer technique works on sorted arrays. Implement the following problems: // Java Example: Two Sum (Sorted Array) public int [] twoSum( int [] numbers, int target) { int left = 0 , right = numbers.length - 1 ; while (left < right) { int sum = numbers[left] + numbers[right]; if (sum == target) { return new int [] { left + 1 , right + 1 }; // 1-indexed } else if (sum < target) { left++; } else { right--; } } return new int [] {}; // no solution } 🧠 2. Solve 2 LeetCode Problems Using Two Pointers LeetCode 167. Two Sum II – Input Array Is Sorted LeetCode 283. Move Zeroes Optimize with minimal swaps using the two-pointer pattern. ✨ Bonus Challenges (Optional but Recommended) LeetCode 26. Remove Duplicates from Sorted Array LeetCode 844....

  ✅ 1. Implement Merge Sort and Quick Sort 🔹 Merge Sort public class MergeSort { public static void mergeSort ( int [] arr, int left, int right) { if (left < right) { int mid = (left + right) / 2 ; mergeSort(arr, left, mid); mergeSort(arr, mid + 1 , right); merge(arr, left, mid, right); } } public static void merge ( int [] arr, int left, int mid, int right) { int n1 = mid - left + 1 , n2 = right - mid; int [] L = new int [n1]; int [] R = new int [n2]; for ( int i = 0 ; i < n1; i++) L[i] = arr[left + i]; for ( int j = 0 ; j < n2; j++) R[j] = arr[mid + 1 + j]; int i = 0 , j = 0 , k = left; while (i < n1 && j < n2) { if (L[i] <= R[j]) arr[k++] = L[i++]; else arr[k++] = R[j++]; } while (i < n1) arr[k++] = L[i++]; while (j < n2) ...

Understand the Divide and Conquer strategy Learn and implement: Merge Sort Quick Sort Analyze Time & Space Complexities Solve intermediate-level sorting problems 📘 1. Merge Sort A stable, divide-and-conquer sorting algorithm. Time Complexity : O(n log n) in all cases Space Complexity : O(n) (extra array) ✅ Logic: Divide the array into two halves Sort each half recursively Merge the two sorted halves 🔹 Java Implementation public class MergeSort { public static void mergeSort ( int [] arr, int left, int right) { if (left < right) { int mid = (left + right) / 2 ; // Sort the left and right halves mergeSort(arr, left, mid); mergeSort(arr, mid + 1 , right); // Merge them merge(arr, left, mid, right); } } public static void merge ( int [] arr, int left, int mid, int right) { int n1 = mid - left + 1 ; ...