{"id":3368,"date":"2026-07-14T15:03:43","date_gmt":"2026-07-14T09:33:43","guid":{"rendered":"https:\/\/www.catmock.com\/blog\/?p=3368"},"modified":"2026-07-14T18:01:20","modified_gmt":"2026-07-14T12:31:20","slug":"bhandara-number-system-questions-cat-2026","status":"publish","type":"post","link":"https:\/\/www.catmock.com\/blog\/bhandara-number-system-questions-cat-2026\/","title":{"rendered":"Top Number System Questions to Practice for CAT 2026"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Number System is usually the first topic CAT aspirants study, and there\u2019s a good reason for it\u2014it&#8217;s built on rules and not judgment calls. Divisibility, remainders, factors, and unit digits all follow fixed logic, so once you\u2019ve internalized the patterns, the marks here are some of the most consistent in the whole Quant section. This CAT 2026 Number System Practice guide has the most important number system questions to practice, weightage trends, a quick formula cheat sheet, and a practice strategy you can start using right now<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We\u2019ve pointed this out clearly where appropriate. Build Number System from scratch or sharpen up before your next mock; treat this as a working reference rather than another static formula list.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">CAT does not publish an official syllabus, so everything about weightage here is based on analyzing recent CAT papers rather than a confirmed exam blueprint\u2014we&#8217;ve flagged this clearly wherever it applies.<\/p>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-d2e38c71fcd35ebf5caceef657471a2a\" style=\"color:#1d4335\"><strong>Table of Contents<\/strong><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-text-color has-link-color wp-elements-136fa5f49c0380ee956418649654b258\" style=\"color:#270b41\"><strong>Why Number System Is Important for CAT 2026<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-c5272961d11dafdc58abf3751ab82157\" style=\"color:#270b41\"><strong>Important Number System Topics<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-4de5758a936b4793a024d6ce2a180f73\" style=\"color:#270b41\"><strong>Top Number System Questions with Solutions<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-5453ac23b8e5ef7efd64d4d6b70420ae\" style=\"color:#270b41\"><strong>Common Mistakes to Avoid<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-29a5073f31a01f2bc1e24052e159a108\" style=\"color:#270b41\"><strong>How to Prepare Number System for CAT 2026<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-e14bab2d59a1d33157b92e52ed22aa56\" style=\"color:#270b41\"><strong>Practice 600+ Number System Questions with CatMock Bhandara<\/strong><\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-0fab6111cf39a28410f894014a3f40ff\" style=\"color:#270b41\"><strong>FAQs<\/strong><\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-b3f68d76537d9e615b204edf027b9550\" style=\"color:#1d4335\"><strong>Why Number System Is Important for CAT 2026<\/strong><\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Number System covers Divisibility Rules, Factors &amp; Multiples, HCF &amp; LCM, Remainders &amp; Cyclicity, Base Systems, and Factorials. Estimates on exact weightage vary by source, but most place it around 3 to 5 questions out of the 22 in CAT Quant\u2014a smaller slice than Arithmetic or Algebra, but a genuinely high-value one.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here&#8217;s why: Number System questions rarely require multi-step reasoning once you know the underlying property. A divisibility question is either a quick rule-check or it isn&#8217;t. A remainder question almost always reduces to spotting a cycle. That makes this topic one of the best places in the entire QA section to bank fast, confident marks\u2014freeing up time for genuinely harder Algebra or Geometry problems later.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It also quietly supports other topics. HCF\/LCM logic resurfaces in Time &amp; Work and Time-Speed-Distance problems, and prime factorization skills make Algebra&#8217;s polynomial questions faster to crack. Strengthening Number System isn&#8217;t just about this topic&#8217;s own weightage\u2014it sharpens your overall numerical instincts.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-af685b37f34699d6287e1c9935076ae4\" style=\"color:#1d4335\"><strong>Important Number System Topics<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Here&#8217;s how Number System typically breaks down in a CAT paper, based on trends from recent years:<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-929244bd32661dc57eec53aeaf6fedfa wp-block-paragraph\" style=\"color:#270b41\"><strong>Table 1: Number System Topic-Wise Weightage for CAT 2026<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-black-color has-text-color has-background has-link-color has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgba(199,82,82,0) 50%,rgb(65,88,208) 100%)\"><thead><tr><th>Number System Topic<\/th><th>Avg. Questions in CAT<\/th><th>Difficulty Level<\/th><th>Prep Priority<\/th><\/tr><\/thead><tbody><tr><td>Divisibility Rules &amp; Factors<\/td><td>1<\/td><td>Low<\/td><td>High<\/td><\/tr><tr><td>HCF &amp; LCM<\/td><td>1<\/td><td>Low\u2013Moderate<\/td><td>High<\/td><\/tr><tr><td>Remainders &amp; Cyclicity<\/td><td>1\u20132<\/td><td>Moderate<\/td><td>Highest<\/td><\/tr><tr><td>Base Systems<\/td><td>0\u20131<\/td><td>Moderate<\/td><td>Medium<\/td><\/tr><tr><td>Factorials (Trailing Zeros)<\/td><td>0\u20131<\/td><td>Low\u2013Moderate<\/td><td>Medium<\/td><\/tr><tr><td>Prime Numbers &amp; Number Properties<\/td><td>1<\/td><td>Low\u2013Moderate<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Remainders and cyclicity consistently carry the most weight and the most difficulty within this topic\u2014CAT loves dressing up a simple remainder question with a large exponent or an unusual base, so this is the sub-topic worth the deepest practice.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-b6668a2eb8dc8fc71a82de151c3cde05\" style=\"color:#1d4335\"><strong>Essential Number System Shortcuts Worth Memorizing<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A handful of shortcuts do most of the heavy lifting in this topic. Know these cold, and a large share of Number System questions turn into 30-second solves instead of 3-minute ones.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ea75808820a806750e5448878f2e2d62 wp-block-paragraph\" style=\"color:#270b41\"><strong>Table 2: Must-Know Number System Shortcuts for CAT 2026<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-black-color has-text-color has-background has-link-color has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgba(199,82,82,0) 50%,rgb(65,88,208) 100%)\"><thead><tr><th>Shortcut<\/th><th>Rule<\/th><th>Where It Shows Up<\/th><\/tr><\/thead><tbody><tr><td>Number of factors<\/td><td>For N = a^p \u00d7 b^q \u00d7 c^r, factors = (p+1)(q+1)(r+1)<\/td><td>Factor-count questions (like Q2)<\/td><\/tr><tr><td>HCF \u00d7 LCM rule<\/td><td>For exactly two numbers, HCF \u00d7 LCM = product of the numbers<\/td><td>HCF\/LCM problems (like Q3)<\/td><\/tr><tr><td>Cyclicity of unit digits<\/td><td>Digits 2, 3, 7, 8 repeat every 4 powers; 4, 9 repeat every 2; 0, 1, 5, 6 never change<\/td><td>Remainder and unit-digit problems (like Q4)<\/td><\/tr><tr><td>Trailing zeros in n!<\/td><td>Sum of \u230an\/5\u230b + \u230an\/25\u230b + \u230an\/125\u230b + &#8230;<\/td><td>Factorial questions (like Q6)<\/td><\/tr><tr><td>Base conversion<\/td><td>Divide repeatedly by the target base; read remainders bottom-up<\/td><td>Base system problems (like Q5)<\/td><\/tr><tr><td>Divisibility by 9 \/ 3<\/td><td>A number is divisible by 9 (or 3) if its digit sum is divisible by 9 (or 3)<\/td><td>Quick divisibility checks under time pressure<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Notice how directly these map to the worked questions above\u2014most Number System questions are really just &#8220;which shortcut applies here&#8221; once you strip away the word-problem framing.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-c97853a357177b7f80e4cfc8a9be080a\" style=\"color:#1d4335\"><strong>Top Number System Questions with Solutions<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These questions aren&#8217;t reproduced from any specific CAT paper \u2014 they&#8217;re original problems built to mirror the exact patterns CAT keeps testing year after year. Solve each one before checking the solution.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-06bbf83b7b6ceb0d90413df6b076d885\" style=\"color:#270b41\">1. Divisibility<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-790db4190afb7e0df43cdd4bfc5d13d9 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q1. Find the smallest number that must be added to 1,000 to make it exactly divisible by 27.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Divide 1,000 by 27: 27 \u00d7 37 = 999, leaving a remainder of 1. The smallest number to add = 27 \u2212 1 = 26<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b556955168f6e643c11855bf3a826eb8 wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 26<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-1dc465a8472e194702290372306d92f5\" style=\"color:#270b41\">2. Factors &amp; Multiples<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e230731987784530f91413986e19fb42 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q2. Find the number of factors of 720.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Prime factorize: 720 = 2\u2074 \u00d7 3\u00b2 \u00d7 5\u00b9 Number of factors = (4+1)(2+1)(1+1) = 5 \u00d7 3 \u00d7 2 = 30 <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e30dfdee044740dc7eb3fe6ad55cfaba wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 30 factors<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-59b831eb447e05d6574904a4dabd3626\" style=\"color:#270b41\">3. HCF &amp; LCM<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-86d8fa3ce7964e6739298792fe4d231a wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q3. The HCF and LCM of two numbers are 12 and 504 respectively. If one of the numbers is 72, find the other number.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Product of two numbers = HCF \u00d7 LCM = 12 \u00d7 504 = 6,048 Other number = 6,048 \u00f7 72 = 84 <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-d0a0450b7919cb7aefef99eda2b59a2c wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 84<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-e11cae43a27c6ae695d9d6f7747d9805\" style=\"color:#270b41\">4. Remainders &amp; Cyclicity<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-d8ac7744dcd4fc11241a4247927cfd63 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q4. Find the remainder when 7\u2074\u2075 is divided by 5.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">7 mod 5 = 2, so we need the cycle of 2\u207f mod 5: 2, 4, 3, 1 (repeats every 4 powers). 45 mod 4 = 1, so 2\u2074\u2075 mod 5 behaves like 2\u00b9 mod 5. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-55e0f286a76218acfff6a0dd23c4b458 wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 2<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-349c2fec45234825338cf93ef2ee8885\" style=\"color:#270b41\">5. Base Systems<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-2e394f07ffb3d4cf15839604ca2c9911 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q5. Convert the decimal number 156 into base 6.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">156 \u00f7 6 = 26, remainder 0 26 \u00f7 6 = 4, remainder 2 4 \u00f7 6 = 0, remainder 4. Reading remainders bottom-up: 156 in base 6 = 420 <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b58c2a0ef9e4f31c6f86ea7c733eee44 wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 420 (base 6)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-8b4d572d0880ea822aba7b70900c6d84\" style=\"color:#270b41\">6. Factorials<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-484a71c6cfdb49d0bb9919fb0e028f9b wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q6. Find the number of trailing zeros in 125!.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trailing zeros come from factors of 5 (since factors of 2 are always in excess): \u230a125\/5\u230b + \u230a125\/25\u230b + \u230a125\/125\u230b = 25 + 5 + 1 = 31 <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5ad98da168d076dbdc1632cb4b6fd665 wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 31 trailing zeros<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-8c018a7028b6351ce32180a12e345a40\" style=\"color:#270b41\">7. Prime Numbers<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a7f173eb130e5a8034223b770823e6b9 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q7. How many prime numbers are there between 50 and 100?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Listing primes in this range: 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e65b5d7369710229738295ba515fd459 wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 10 prime numbers<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color wp-elements-111fa9e509952b1fe0e7580a3b2d96aa\" style=\"color:#270b41\">8. LCM Word Problem<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e635795ad2f4bac6e21d09bf939842b9 wp-block-paragraph\" style=\"color:#4a336e\"><strong>Q8. Three bells ring at intervals of 12, 18, and 24 minutes respectively. If they all ring together at 8:00 AM, at what time will they next ring together?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Find the LCM of 12, 18, and 24: 12 = 2\u00b2 \u00d7 3, 18 = 2 \u00d7 3\u00b2, 24 = 2\u00b3 \u00d7 3 LCM = 2\u00b3 \u00d7 3\u00b2 = 72 The bells next ring together after 72 minutes, i.e., at 9:12 AM <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c51ec7a116e1ed715d8cf98a7934b42d wp-block-paragraph\" style=\"color:#1d4335\"><strong>Answer: 9:12 AM<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5ba2671e321d5d23d63da4926b299a2a wp-block-paragraph\" style=\"color:#270b41\"><strong>Table 3: Quick Answer Key<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-black-color has-text-color has-background has-link-color has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgba(199,82,82,0) 50%,rgb(65,88,208) 100%)\"><thead><tr><th>Q. No.<\/th><th>Topic<\/th><th>Final Answer<\/th><\/tr><\/thead><tbody><tr><td>Q1<\/td><td>Divisibility<\/td><td>26<\/td><\/tr><tr><td>Q2<\/td><td>Factors &amp; Multiples<\/td><td>30 factors<\/td><\/tr><tr><td>Q3<\/td><td>HCF &amp; LCM<\/td><td>84<\/td><\/tr><tr><td>Q4<\/td><td>Remainders &amp; Cyclicity<\/td><td>2<\/td><\/tr><tr><td>Q5<\/td><td>Base Systems<\/td><td>420 (base 6)<\/td><\/tr><tr><td>Q6<\/td><td>Factorials<\/td><td>31 trailing zeros<\/td><\/tr><tr><td>Q7<\/td><td>Prime Numbers<\/td><td>10 primes<\/td><\/tr><tr><td>Q8<\/td><td>LCM Word Problem<\/td><td>9:12 AM<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-f9cd8f001c35ba326dcfd603712fef7f\" style=\"color:#1d4335\"><strong>Common Mistakes to Avoid<\/strong><\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forgetting that &#8220;smallest number to add&#8221; and &#8220;smallest number to subtract&#8221; for divisibility use different arithmetic\u2014mixing these up flips your answer.<\/li>\n\n\n\n<li>Miscounting factors by forgetting to add 1 to each exponent in the prime factorization before multiplying.<\/li>\n\n\n\n<li>Assuming HCF \u00d7 LCM = product of numbers works for more than two numbers \u2014 this identity only holds for exactly two numbers.<\/li>\n\n\n\n<li>Losing track of the cycle length in remainder problems, especially when the exponent is large\u2014always find the cycle first, then reduce the exponent using the modulus of the cycle length.<\/li>\n\n\n\n<li>Rushing base-conversion problems without double-checking the final digit order\u2014remainders come out least-significant-digit first, so they must be reversed.<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-3f134688b0b2482907630bf0efb49e69\" style=\"color:#1d4335\">How to Prepare Number System for CAT 2026<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Number System is one of the fastest topics to get genuinely good at\u2014a focused 3-week block, run alongside your Arithmetic and Algebra prep, is usually enough to cover every major sub-topic with real confidence.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-af9d1acdbad91ccec6091facad681c12 wp-block-paragraph\" style=\"color:#270b41\"><strong>Table 4: 3-Week Number System Prep Plan<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-black-color has-text-color has-background has-link-color has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgba(199,82,82,0) 50%,rgb(65,88,208) 100%)\"><thead><tr><th>Week<\/th><th>Focus Area<\/th><th>Daily Target<\/th><\/tr><\/thead><tbody><tr><td>Week 1<\/td><td>Divisibility Rules, Factors &amp; Multiples, HCF &amp; LCM<\/td><td>12 questions\/day + rule revision<\/td><\/tr><tr><td>Week 2<\/td><td>Remainders &amp; Cyclicity \u2014 the highest-difficulty sub-topic<\/td><td>10 questions\/day, mixed difficulty<\/td><\/tr><tr><td>Week 3<\/td><td>Base Systems, Factorials, Prime Numbers + full mixed-topic mock sets<\/td><td>1 sectional mock every 2 days<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-ecc4a7513023c9c32d550db42440a598\" style=\"color:#1d4335\"><strong>Practice 600+ Number System Questions with CatMock Bhandara<\/strong><\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Bhandara by CatMock is a structured, topic-wise question bank built specifically for CAT aspirants \u2014 so you always know exactly what to solve next, instead of hunting across ten different sites.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-0065c481f7c333e815ab9e57460f5a18 wp-block-paragraph\"><strong>Inside Bhandara, you&#8217;ll get:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-black-color has-text-color has-link-color wp-elements-e112a41af49e866743a3c3ed14764e89\"><strong>600+ Number System Questions<\/strong><\/li>\n\n\n\n<li class=\"has-black-color has-text-color has-link-color wp-elements-81a0f1532d9d8a3d4235b7c858575a11\"><strong>700+ Arithmetic Questions<\/strong><\/li>\n\n\n\n<li class=\"has-black-color has-text-color has-link-color wp-elements-126d9e5f63d794ac679e5e38078ed5d9\"><strong>700+ Algebra Questions<\/strong><\/li>\n\n\n\n<li class=\"has-black-color has-text-color has-link-color wp-elements-6fd6fa977e09bc860642da9e17756ce1\"><strong>600+ Modern Mathematics Questions<\/strong><\/li>\n\n\n\n<li class=\"has-black-color has-text-color has-link-color wp-elements-860f5972fd54cac660a2c0ded61f3671\"><strong>600+ Mensuration Questions<\/strong><\/li>\n\n\n\n<li class=\"has-black-color has-text-color has-link-color wp-elements-39abf2fde082a84916702148d31f3006\"><strong>500+ Geometry Questions<\/strong><\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote has-text-align-center is-style-plain is-layout-flow wp-block-quote-is-layout-flow\">\n<div class=\"wp-block-group has-background is-vertical is-content-justification-center is-layout-flex wp-container-core-group-is-layout-524f8de7 wp-block-group-is-layout-flex\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgba(199,82,82,0) 50%,rgb(65,88,208) 100%)\">\n<h1 class=\"wp-block-heading has-text-align-center has-text-color has-link-color wp-elements-f1f7d072673b93f68ca5d83ae906ead6 wp-container-content-9cfa9a5a\" style=\"color:#270b41\">Bhandara is your complete CAT preparation treasure <\/h1>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-886b044150564161d42e86671f3f6093 wp-block-paragraph\" style=\"color:#294f3f;font-size:17px\"><strong>Everything you need, all in one place.<\/strong><\/p>\n<\/div>\n<\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-style-default is-layout-flow wp-block-quote-is-layout-flow\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-4fc3f8e1 wp-block-group-is-layout-flex\">\n<h3 class=\"wp-block-heading\">Stop Searching for Number System Questions. Start Solving the Right Ones.<\/h3>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Number System is one of the quickest wins available in CAT Quant\u2014but only if you actually put in the reps instead of skimming concept videos and assuming it&#8217;ll click on exam day. Divisibility, HCF &amp; LCM, and remainders show up every single year, and the aspirants who drill these patterns consistently are the ones finishing this section with time to spare for harder topics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Stop bouncing between scattered PDFs and half-finished question sets. Practice from one structured collection of 600+ CAT-level Number System questions, organized so you can build fundamentals, spot weak areas fast, and move confidently into exam-difficulty problems.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Whether you&#8217;re learning divisibility rules for the first time or sharpening remainder shortcuts before mocks, a focused question bank is what turns &#8220;I get the concept&#8221; into &#8220;I solved that in 40 seconds.&#8221; That gap is exactly what separates an average QA score from a strong one.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Explore Number System Bhandara and master every important topic with 600+ carefully curated CAT-level questions.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ef53ac77a6bc99ec9e086583299ab6db wp-block-paragraph\" style=\"color:#1d4335\"><strong><a href=\"https:\/\/www.catmock.com\/bhandara\/37\">Explore QA Bhandara \u2192<\/a><\/strong><\/p>\n<\/blockquote>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-2682c3b57d6a7e08f937e2ab66c950a6\" style=\"color:#1d4335\"><strong>FAQs<\/strong><\/h1>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6921ac620e0e0e631b2a6c2a6c122230 wp-block-paragraph\" style=\"color:#270b41\"><strong>What is the weightage of Number System in CAT 2026? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-bc2707d268bf468b535140db8cba190e wp-block-paragraph\">Number System typically contributes 3 to 5 questions out of the 22 questions in CAT&#8217;s Quant section, spread across Divisibility, Factors &amp; Multiples, HCF &amp; LCM, Remainders &amp; Cyclicity, Base Systems, and Factorials.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-d15e8b90a3f5bb065de6874f494b6432 wp-block-paragraph\" style=\"color:#270b41\"><strong>Which topics are covered under Number System for CAT 2026? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-4901e0e1d6f24fe039189bd8e82fad18 wp-block-paragraph\">A number system includes Divisibility Rules, Factors &amp; Multiples, HCF &amp; LCM, Remainders &amp; Cyclicity, Base Systems, Factorials (Trailing Zeros), and Prime Numbers &amp; Number Properties.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-53ddabf200ccc825de494ddf602bcf37 wp-block-paragraph\" style=\"color:#270b41\"><strong>Are CAT Number System questions repeated from previous years? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-dfc19f6bfce2abe5258d76182468d444 wp-block-paragraph\">The exact questions are not repeated, but the underlying patterns\u2014large-exponent remainder problems, factor-count questions, base conversions, LCM-based word problems\u2014show up year after year, which is why practising these patterns pays off.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ea02582121f086bba28837115a4ec782 wp-block-paragraph\" style=\"color:#270b41\"><strong>How many Number System questions should I attempt in CAT? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-f19f21917067b082e5e3fc4dc426cf68 wp-block-paragraph\">Attempting 3 to 4 well-chosen Number System questions with high accuracy is a reasonable target for most aspirants, since these questions tend to be faster to solve than Algebra or Geometry once the fundamentals are strong.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-04619ead9fd04f4590d94e2c2c692d28 wp-block-paragraph\" style=\"color:#270b41\"><strong>Where can I find enough practice questions for Number System? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-f1a73af1d5e5fe7aad21dc381e31630f wp-block-paragraph\">CatMock&#8217;s QA Bhandara has 600+ dedicated Number System questions, along with thousands more across every other Quant topic, for structured, topic-wise practice.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-8b990f0b857fea3fe970a67553ee58c0 wp-block-paragraph\" style=\"color:#270b41\"><strong>Is Number System difficult for CAT? <\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-text-color has-link-color wp-elements-92ebfc056de985b645f8f6e0301e447f wp-block-paragraph\">Not usually. Most Number System questions rely on a small set of properties and rules rather than heavy calculation. With consistent practice, this topic often becomes one of the fastest, most reliable scoring areas in CAT Quant.<\/p>\n\n\n\n<h1 class=\"wp-block-heading has-text-color has-link-color wp-elements-db031a095f29916048c246ad7607f42b\" style=\"color:#1d4335\"><strong>Conclusion<\/strong><\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Number System is, quietly, one of the best-value topics in the entire CAT Quant syllabus. The concepts are finite, the tricks are learnable in weeks rather than months, and the questions that do appear are consistently some of the fastest to solve in the whole section. Work through the questions above, follow the 3-week plan, and drill remainders and cyclicity until spotting the pattern becomes automatic\u2014well before CAT 2026 arrives on 29 November. A sharp Number System base is an easy, reliable way to bank marks before you even reach the harder parts of Quant.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Number System is usually the first topic CAT aspirants study, and there\u2019s a good reason for it\u2014it&#8217;s built on rules and not judgment calls. Divisibility, remainders, factors, and unit digits all follow fixed logic, so once you\u2019ve internalized the patterns, the marks here are some of the most consistent in the whole Quant section. This [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":3400,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[1],"tags":[51,294,30,316,320,319,318,315],"class_list":["post-3368","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","tag-cat-2026","tag-cat-practice-questions","tag-cat-preparation","tag-cat-quant","tag-common-mistakes-to-avoid-in-quant","tag-how-to-prepare-number-system-for-cat-2026","tag-important-number-system-topics","tag-number-system","entry","has-media"],"featured_image_src":"https:\/\/www.catmock.com\/blog\/wp-content\/uploads\/2026\/07\/ChatGPT-Image-Jul-14-2026-05_59_10-PM-e1784032262620.png","author_info":{"display_name":"Khushi Gautam","author_link":"https:\/\/www.catmock.com\/blog\/author\/khushi-gautam\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Top Number System Questions to Practice for CAT 2026<\/title>\n<meta name=\"description\" content=\"Solve the top number system questions for CAT 2026 with detailed solutions, topic-wise weightage, and a focused 4-week plan to boost your Quant score.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.catmock.com\/blog\/bhandara-number-system-questions-cat-2026\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Top Number System Questions to Practice for CAT 2026\" \/>\n<meta property=\"og:description\" content=\"Solve the top number system questions for 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