Top 50 Number System Questions for CAT 2026 🔥 | Complete Quant Revision in One Shot

Want to master Number System for CAT 2026 and aim for a 99+ percentile in the CAT exam? This video is for you! In this one-shot revision session, we cover the Top 50 Number System Questions for CAT 2026, helping you practise important concepts, understand question patterns, and improve your Quantitative Aptitude preparation. If you want to strengthen your CAT Quant score, this video will help you revise key Number System concepts and practise exam-oriented questions. Based on the CAT 2020 to CAT 2025 paper analysis, Number System has had a fluctuating but recurring presence in the CAT Quantitative Aptitude section, with approximately 1-3 questions per slot in several exam years. The topic had relatively lower weightage in CAT 2021, followed by a stronger presence in CAT 2022 and CAT 2023. In CAT 2024 and CAT 2025, Number System continued to be a relevant topic for CAT aspirants. For CAT 2026, focus on important concepts such as divisibility rules, remainders, HCF and LCM, factors, prime numbers, and cyclicity. If you are aiming for a 99+ percentile in CAT 2026, do not overlook Number System during your Quant preparation. Practising these 50 important Number System questions can help you identify common question patterns, improve problem-solving speed, and build confidence for the CAT exam. Watch the complete video, practise along with the solutions, and revise the concepts you find difficult. 📌 Download the Top 50 Number System Questions with Solutions PDF: https://cracku.in/cat-2026-number-sys... 📲 Join Cracku CAT preparation WhatsApp group - https://cracku.in/s/cracku-prep-youtube 📌 Join Cracku CAT Crash Course: https://cracku.in/cat-crash-course 📲 Join Cracku CAT2027 Preparation WhatsApp Group - https://cracku.in/s/cat-2027-youtube-... 📌 Take 3 CAT Free Mocks: https://cracku.in/cat-mock-test Subscribe to the Cracku YouTube channel for more CAT preparation videos, topic-wise Quant practice, and exam-focused strategies. We will upload Top 100 Modern Maths Questions, Top 200 Arithmetic Questions, Top 25 DILR Sets, and many more important practice videos to help you strengthen your CAT 2026 preparation. Subscribe to our channel and stay tuned! 00:00:00 - Introduction 00:00:52 - Q1: Divisibility (Integers from 1 to 120) 00:03:35 - Q2: Sum of Real Values of k (Quadratic) 00:06:21 - Q3: Four-digit Perfect Squares (aabb) 00:10:21 - Q4: Sum of Digits of (10^50 + 10^25 - 123) 00:14:17 - Q5: Smallest Integer for 4^n greater than 17^19 00:15:57 - Q6: Natural Numbers with Non-repeating Digits 00:17:23 - Q7: Number of Factors (Perfect Squares) 00:19:57 - Q8: LCM & Remainder (School Teams Problem) 00:23:49 - Q9: Minimizing Sum of Squares (Symmetry) 00:28:20 - Q10: Product of Digits between 2 and 7 00:31:17 - Q11: Positive Integers up to 500 (Unique Digits) 00:33:07 - Q12: Divisors of the Form (3r + 1) 00:37:12 - Q13: Error in Multiplication & Min Sum of Squares 00:39:16 - Q14: Common Divisor of (m+2n) & (3m+4n) 00:40:50 - Q15: Highest Possible Four-digit Number 00:43:10 - Q16: Integral Pairs for m^2 + 105 = n^2 00:47:03 - Q17: Remainder of 3^333 divided by 11 00:48:47 - Q18: 3-digit Integers with Repeated Digits 00:50:55 - Q19: Factors of Min Three-digit Number 00:53:30 - Q20: HCF of Series Terms (3^k + 4^k + 5^k) 00:56:28 - Q21: Natural Numbers with 15 Factors 00:58:59 - Q22: Integer Values of x for Divisibility 01:03:00 - Q23: Average and Difference of 3 Numbers 01:05:39 - Q24: Four-digit Numbers (7 before 3) 01:08:45 - Q25: Divisibility of 15000! by (n!)! 01:10:05 - Q26: Maximum Value of (n - m) 01:12:06 - Q27: Mean of Four-digit Even Numbers (aabb) 01:14:38 - Q28: Sum of Four-digit Permutations 01:18:26 - Q29: Largest 4th Digit in a Six-digit Number 01:20:40 - Q30: Difference between Four-digit Numbers 01:24:12 - Q31: Last Two Digits of 7^2008 01:25:35 - Q32: Distinct Values of n = x + y 01:27:25 - Q33: Positive Integers Under 50 with Two Factors 01:31:22 - Q34: Integer Values of 3 + 3^(n+1) 01:34:03 - Q35: Bounds on Product ab (a^2 + b^2 = 97) 01:36:42 - Q36: Remainder of 10^1000 divided by 7 01:38:09 - Q37: Pairs of Integers (a * b = 4^2017) 01:40:09 - Q38: Largest Integer for Algebraic Fraction 01:42:20 - Q39: Maximum Average of Six Numbers 01:44:18 - Q40: Minimum Weekly Coins Collected (Ratio) 01:47:27 - Q41: Remainder of 10^68 divided by 13 01:50:26 - Q42: Value of m - 2n from Inequalities 01:53:08 - Q43: Remainder of (p + 2) divided by 11! 01:55:07 - Q44: Value of m - n for m^n = 2^25 * 3^40 01:56:47 - Q45: Blackboard Number Reduction Game 01:59:42 - Q46: Smallest Value of a + b + c 02:02:00 - Q47: Sum of Numbers from Ratio of Cubes 02:06:05 - Q48: Sum of Digits of 625^65 * 128^36 02:08:32 - Q49: Reversed 3-digit Numbers (div by 7) 02:12:49 - Q50: Four Consecutive 2-digit Odd Numbers #CAT2026 #CATQuant #NumberSystem #CATPreparation #CAT2026Preparation #CATQuantitativeAptitude #CATQuestions #CATPreviousYearQuestions #CATExam #Cracku