{"id":58160,"date":"2025-07-24T21:18:12","date_gmt":"2025-07-24T15:48:12","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=58160"},"modified":"2025-07-24T21:19:10","modified_gmt":"2025-07-24T15:49:10","slug":"important-number-system-questions","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/","title":{"rendered":"Important Number System Questions for SSC Exams, Attempt now"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#What_Are_Number_System_Questions\" >What Are Number System Questions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#Types_of_Numbers_in_the_Number_System\" >Types of Numbers in the Number System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#Key_Formulas_for_Number_System_Questions\" >Key Formulas for Number System Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#What_Are_the_Common_Mistakes_Students_Make_While_Attempting_Number_System_Questions\" >What Are the Common Mistakes Students Make While Attempting Number System Questions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#Tips_and_Tricks_to_Solve_Number_System_Questions_Quickly\" >Tips and Tricks to Solve Number System Questions Quickly<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#Practice_Questions_for_Number_System\" >Practice Questions for Number System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#Number_System_for_SSC_Banking_Exams_-FAQs\" >Number System for SSC &amp; Banking Exams -FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Number System is a very important topic in exams like SSC CGL, CHSL, Banking, Railways, and Insurance. These questions check your basic maths skills and speed. In this blog, we have given important Number System questions that are often asked in these exams. Practice these questions to improve your preparation and do well in your upcoming exams.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_Number_System_Questions\"><\/span>What Are Number System Questions?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Number System Questions test your understanding of how numbers are represented, classified, and manipulated. In competitive exams like SSC CGL, CHSL, and MTS, these questions cover types of numbers, divisibility rules, LCM &amp; HCF, remainders, and digit-based puzzles. Mastering these basics ensures accuracy and speed in the Quantitative Aptitude section.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Types_of_Numbers_in_the_Number_System\"><\/span>Types of Numbers in the Number System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The number system is divided into various types based on their properties:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Natural Numbers (N): Counting numbers starting from 1 (1, 2, 3\u2026).<\/li><li>Whole Numbers (W): Natural numbers including 0 (0, 1, 2, 3\u2026).<\/li><li>Integers (Z): Whole numbers and their negatives (\u2026\u20132, \u20131, 0, 1, 2\u2026).<\/li><li>Rational Numbers (Q): Numbers expressed as p\/q where q \u2260 0 (e.g., 1\/2, 3, \u20134).<\/li><li>Irrational Numbers: Non-repeating, non-terminating decimals like \u221a2 or \u03c0.<\/li><li>Real Numbers (R): Combination of rational and irrational numbers.<\/li><li>Prime Numbers: Numbers greater than 1 with only two factors: 1 and itself.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Key_Formulas_for_Number_System_Questions\"><\/span>Key Formulas for Number System Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Understanding key shortcuts improves accuracy in exams:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>LCM \u00d7 HCF = Product of Numbers<\/li><li>Divisibility by 3 or 9: Sum of digits should be divisible by 3 or 9.<\/li><li>Divisibility by 11: Difference between the sum of alternate digits is 0 or multiple of 11.<\/li><li>Two-Digit Swap Logic: Original = 10x + y; Reversed = 10y + x.<\/li><li>Remainder Formula: Number = LCM \u00d7 k \u00b1 Remainder.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_the_Common_Mistakes_Students_Make_While_Attempting_Number_System_Questions\"><\/span>What Are the Common Mistakes Students Make While Attempting Number System Questions?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>While solving number system questions in competitive exams, students often make mistakes due to haste or lack of clarity in basic concepts. Common errors include:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Misreading the question \u2013 ignoring key words like \u201csmallest,\u201d \u201cgreatest,\u201d \u201cremainder,\u201d or \u201cdivisible\u201d can lead to choosing the wrong method or option.<\/li><li>Calculation mistakes \u2013 especially in multiplication, squaring, or when dealing with large numbers or decimals.<\/li><li>Skipping steps \u2013 trying to mentally solve complex logic without writing it down leads to confusion.<\/li><li>Not applying shortcuts or divisibility rules forgetting tricks like LCM-HCF relations or digital root tricks causes time loss.<\/li><li>Lack of time management \u2013 spending too long on one tough question instead of moving on.<\/li><li>Not revising formulas \u2013 being unclear about formulas like Product=LCM\u00d7HCF Product = LCM \u00d7 HCF Product=LCM\u00d7HCF or misusing place value logic in digit problems.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-chsl\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Explore all SSC CHSL Courses Here<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tips_and_Tricks_to_Solve_Number_System_Questions_Quickly\"><\/span>Tips and Tricks to Solve Number System Questions Quickly<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>To score well in the number system section of government exams like <a href=\"https:\/\/www.oliveboard.in\/ssc-exams\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">SSC exams<\/a>, Banking, Railways, and Insurance, it\u2019s important to learn shortcuts and smart solving methods. Here are some useful tips and tricks:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Understand Number Properties: Learn types of numbers \u2013 natural, whole, even, odd, prime, composite \u2013 and how they behave in operations.<\/li><li>Use Divisibility Rules: Memorize rules for 2, 3, 4, 5, 6, 8, 9, and 11 to save time in checking if a number is divisible.<\/li><li>Remember LCM and HCF Tricks:<ul><li>LCM\u00d7HCF=Product of two numbers<\/li><li>Use prime factorization for fast results.<\/li><\/ul><\/li><li>Digit-Based Problems:<ul><li>Use place value rules: if number is 10x + y, reversed = 10y + x.<\/li><li>Use basic algebra for sum or difference of digits.<\/li><\/ul><\/li><li>Learn Cyclicity of Units Digit: For units digit of large powers (e.g., 2^10), know the last digit patterns:<ul><li>2 \u2192 2, 4, 8, 6 (repeats every 4)<\/li><\/ul><\/li><li>For Remainder Problems: Use<ul><li>Chinese Remainder Theorem for complex cases<\/li><li>Try using the formula: Number=LCM\u00d7k\u00b1R <\/li><\/ul><\/li><li>Practice Approximation: For large numbers, estimate to nearest base like 10, 100, or round to simplify.<\/li><li>Memorize Squares and Cubes: At least till 30 for fast spotting of perfect squares or cubes.<\/li><li>Break the Problem Down: Don\u2019t try to solve everything mentally; break it into smaller steps to avoid errors.<\/li><li>Take Mock Tests: Regular practice with time limits improves both speed and accuracy.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Join SSC CGL Courses<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Practice_Questions_for_Number_System\"><\/span>Practice Questions for Number System <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here are 30 important Number System questions selected as per the latest exam trends. Practice them to improve your accuracy and boost your exam score.<\/p>\n\n\n\n<p><strong>Q1.<\/strong> The digits of a two-digit number are in the ratio 2:3. If the digits are interchanged, the new number is 27 more than the original. What is the original number?<br>A) 42<br>B) 69<br>C) 63<br>D) 84<br><strong>Correct Answer: B) 69<\/strong><\/p>\n\n\n\n<p><strong>Q2.<\/strong> A two-digit number is such that the sum of its digits is 11. If the digits are reversed, the new number is 9 more than the original. What is the original number?<br>A) 56<br>B) 65<br>C) 38<br>D) 47<br><strong>Correct Answer: A) 56<\/strong><\/p>\n\n\n\n<p><strong>Q3.<\/strong> The product of a number and its square is 306. What is the number?<br>A) 16<br>B) 18<br>C) 17<br>D) 19<br><strong>Correct Answer: C) 17<\/strong><\/p>\n\n\n\n<p><strong>Q4.<\/strong> What least number should be added to 1298 to make it divisible by 7?<br>A) 3<br>B) 4<br>C) 5<br>D) 2<br><strong>Correct Answer: B) 4<\/strong><\/p>\n\n\n\n<p><strong>Q5.<\/strong> A number leaves remainder 5 when divided by 8. What is the remainder when the same number is divided by 4?<br>A) 1<br>B) 2<br>C) 3<br>D) 0<br><strong>Correct Answer: A) 1<\/strong><\/p>\n\n\n\n<p><strong>Q6.<\/strong> The LCM of two numbers is 180, HCF is 6, and one number is 30. What is the other number?<br>A) 36<br>B) 42<br>C) 60<br>D) 48<br><strong>Correct Answer: A) 36<\/strong><\/p>\n\n\n\n<p><strong>Q7.<\/strong> How many numbers between 100 and 200 are divisible by both 3 and 4?<br>A) 6<br>B) 8<br>C) 10<br>D) 12<br><strong>Correct Answer: B) 8<\/strong><\/p>\n\n\n\n<p><strong>Q8.<\/strong> What is the least number that must be subtracted from 9400 to make it divisible by 23?<br>A) 4<br>B) 6<br>C) 10<br>D) 8<br><strong>Correct Answer: D) 8<\/strong><\/p>\n\n\n\n<p><strong>Q9.<\/strong> Find the greatest 4-digit number divisible by 15, 20, and 28.<br>A) 9960<br>B) 9840<br>C) 9990<br>D) 9660<br><strong>Correct Answer: D) 9660<\/strong><\/p>\n\n\n\n<p><strong>Q10.<\/strong> What is the HCF of 45, 75, and 120?<br>A) 30<br>B) 15<br>C) 10<br>D) 5<br><strong>Correct Answer: B) 15<\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free SSC CGL Mock Tests 2025<\/a><\/div>\n<\/div>\n\n\n\n<p><strong>Q11.<\/strong> What is the LCM of 14, 18, and 22?<br>A) 1386<br>B) 1260<br>C) 1320<br>D) 1440<br><strong>Correct Answer: A) 1386<\/strong><\/p>\n\n\n\n<p><strong>Q12.<\/strong> The product of two consecutive natural numbers is 506. What are the numbers?<br>A) 20, 21<br>B) 21, 22<br>C) 22, 23<br>D) 23, 24<br><strong>Correct Answer: C) 22, 23<\/strong><\/p>\n\n\n\n<p><strong>Q13.<\/strong> Find the unit digit of the product of the first 10 odd natural numbers.<br>A) 5<br>B) 2<br>C) 0<br>D) 1<br><strong>Correct Answer: C) 0<\/strong><\/p>\n\n\n\n<p><strong>Q14.<\/strong> What is the least number which when added to 659 makes it a perfect square?<br>A) 2<br>B) 5<br>C) 17<br>D) 9<br><strong>Correct Answer: C) 17<\/strong><\/p>\n\n\n\n<p><strong>Q15.<\/strong> A number when divided by 5, 6, and 7 leaves a remainder 4 in each case. What is the smallest such number?<br>A) 214<br>B) 344<br>C) 298<br>D) 313<br><strong>Correct Answer: A) 214<\/strong><\/p>\n\n\n\n<p><strong>Q16.<\/strong> What is the least number which when divided by 8, 12, and 18 leaves a remainder of 3?<br>A) 75<br>B) 147<br>C) 183<br>D) 159<br><strong>Correct Answer: B) 147<\/strong><\/p>\n\n\n\n<p><strong>Q17.<\/strong> The sum of two numbers is 72 and their HCF is 6. How many such unique pairs exist?<br>A) 4<br>B) 5<br>C) 6<br>D) 7<br><strong>Correct Answer: C) 6<\/strong><\/p>\n\n\n\n<p><strong>Q18.<\/strong> If 2\u00b9\u2070 is divided by 7, what is the remainder?<br>A) 2<br>B) 4<br>C) 5<br>D) 3<br><strong>Correct Answer: A) 2<\/strong><\/p>\n\n\n\n<p><strong>Q19.<\/strong> Which of the following is divisible by 3 but not by 9?<br>A) 117<br>B) 234<br>C) 999<br>D) None of these<br><strong>Correct Answer: D) None of these<\/strong><\/p>\n\n\n\n<p><strong>Q20.<\/strong> What is the LCM of two numbers if their HCF is 8 and product is 960?<br>A) 120<br>B) 140<br>C) 100<br>D) 160<br><strong>Correct Answer: A) 120<\/strong><\/p>\n\n\n\n<p><strong>Q21.<\/strong> The number 3A7 is divisible by 11. What is the digit A?<br>A) 3<br>B) 6<br>C) 4<br>D) None of these<br><strong>Correct Answer: D) None of these<\/strong><\/p>\n\n\n\n<p><strong>Q22.<\/strong> The difference between the squares of two consecutive even numbers is 68. What are the numbers?<br>A) 14 and 16<br>B) 12 and 14<br>C) 18 and 20<br>D) 16 and 18<br><strong>Correct Answer: D) 16 and 18<\/strong><\/p>\n\n\n\n<p><strong>Q23.<\/strong> What is the smallest number which when increased by 17 is divisible by 20, 25, and 30?<br>A) 5817<br>B) 5983<br>C) 5880<br>D) 5940<br><strong>Correct Answer: B) 5983<\/strong><\/p>\n\n\n\n<p><strong>Q24.<\/strong> How many prime numbers are there between 10 and 50?<br>A) 9<br>B) 10<br>C) 11<br>D) 12<br><strong>Correct Answer: C) 11<\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-chsl-previous-year-papers\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">download SSC CHSL Previous year papers for free<\/a><\/div>\n<\/div>\n\n\n\n<p><strong>Q25.<\/strong> A number when divided by 4 gives a remainder of 3. Which of the following numbers is definitely not divisible by 4?<br>A) 23<br>B) 35<br>C) 47<br>D) All of these<br><strong>Correct Answer: D) All of these<\/strong><\/p>\n\n\n\n<p><strong>Q26.<\/strong> What is the sum of all two-digit numbers divisible by 9?<br>A) 585<br>B) 594<br>C) 576<br>D) 567<br><strong>Correct Answer: A) 585<\/strong><\/p>\n\n\n\n<p><strong>Q27.<\/strong> The HCF and LCM of two numbers are 8 and 480 respectively. If one number is 60, what is the other number?<br>A) 64<br>B) 96<br>C) 72<br>D) 80<br><strong>Correct Answer: B) 96<\/strong><\/p>\n\n\n\n<p><strong>Q28.<\/strong> Which is the smallest number which when divided by 9 and 10 leaves remainder 2?<br>A) 92<br>B) 112<br>C) 182<br>D) 272<br><strong>Correct Answer: A) 92<\/strong><\/p>\n\n\n\n<p><strong>Q29.<\/strong> Find the smallest 4-digit number divisible by 36.<br>A) 1008<br>B) 1000<br>C) 1032<br>D) 1044<br><strong>Correct Answer: A) 1008<\/strong><\/p>\n\n\n\n<p><strong>Q30.<\/strong> The sum of digits of a number is 9 and the number is divisible by 9. Which of the following could be the number?<br>A) 81<br>B) 72<br>C) 90<br>D) All of these<br><strong>Correct Answer: D) All of these<\/strong><\/p>\n\n\n\n<p>Also attempt&nbsp;<a href=\"https:\/\/www.oliveboard.in\/ssc-cgl-practice-quiz\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CGL Practice Quiz<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Number_System_for_SSC_Banking_Exams_-FAQs\"><\/span>Number System for SSC &amp; Banking Exams -FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1683266652041\"><strong class=\"schema-faq-question\"><strong>Q1. How do I quickly find the HCF and LCM of two numbers?<\/strong><\/strong> <p class=\"schema-faq-answer\">Ans: Use prime factorization to list common and all factors; HCF is the product of common primes, LCM is the product of all primes at highest powers. Or apply the shortcut LCM \u00d7 HCF = product of the two numbers.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1683266655416\"><strong class=\"schema-faq-question\"><strong>Q2. How do I solve \u201cremainder\u201d problems efficiently?<\/strong><\/strong> <p class=\"schema-faq-answer\">Ans: Use the formula Number = (Divisor \u00d7 k) + Remainder or apply the Chinese Remainder Theorem for multiple moduli.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1751537549594\"><strong class=\"schema-faq-question\">Q3. Which shortcuts speed up LCM\/HCF questions in exams?<\/strong> <p class=\"schema-faq-answer\">Ans: Memorize small tables of LCMs and HCFs for common pairs and immediately apply LCM \u00d7 HCF = product rule to avoid lengthy factorization.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1751537576151\"><strong class=\"schema-faq-question\">Q4. How do I handle \u201csmallest\/greatest\u201d number questions?<\/strong> <p class=\"schema-faq-answer\">Ans: Translate \u201csmallest\/greatest\u201d into boundary conditions (e.g., least number > n divisible by m) then apply k = \u2308(n + 1)\/m\u2309.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1751537601352\"><strong class=\"schema-faq-question\">Q5. What\u2019s the fastest way to test if a number is prime?<\/strong> <p class=\"schema-faq-answer\">Ans: Check divisibility up to its square root using small prime divisors (2, 3, 5, 7, 11, \u2026).<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/english-ssc-exams\/\">English Quiz for SSC Exams, Attempt Now &amp; Download PDF<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/blood-relation-ssc\/\">Blood Relation Questions for SSC Exams, Attempt Live<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-je-eligibility-check-tool\/\">Are You Eligible for SSC JE 2026? 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These questions check<\/p>\n","protected":false},"author":66,"featured_media":221159,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5217,63],"tags":[],"class_list":["post-58160","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-prep","category-ssc-exams","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Important Number System Questions for SSC Exams 2025 Attempt,<\/title>\n<meta name=\"description\" content=\"Important Number System Questions for SSC Exams 2025 Attempt, now 30 questions with solutions, tips, and tricks.\" \/>\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.oliveboard.in\/blog\/important-number-system-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Important Number System Questions for SSC Exams, Attempt now\" \/>\n<meta property=\"og:description\" content=\"Number System is a very important topic in exams like SSC CGL, CHSL, Banking, Railways, and Insurance. These questions check your basic maths skills and\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/\" \/>\n<meta property=\"og:site_name\" content=\"Oliveboard\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Oliveboard\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-24T15:48:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-24T15:49:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2023\/12\/important-number-system-questions.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Aadib Nagori\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@Oliveboard\" 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Which shortcuts speed up LCM\/HCF questions in exams?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: Memorize small tables of LCMs and HCFs for common pairs and immediately apply LCM \u00d7 HCF = product rule to avoid lengthy factorization.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#faq-question-1751537576151","position":4,"url":"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#faq-question-1751537576151","name":"Q4. How do I handle \u201csmallest\/greatest\u201d number questions?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: Translate \u201csmallest\/greatest\u201d into boundary conditions (e.g., least number > n divisible by m) then apply k = \u2308(n + 1)\/m\u2309.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#faq-question-1751537601352","position":5,"url":"https:\/\/www.oliveboard.in\/blog\/important-number-system-questions\/#faq-question-1751537601352","name":"Q5. What\u2019s the fastest way to test if a number is prime?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: Check divisibility up to its square root using small prime divisors (2, 3, 5, 7, 11, \u2026).","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/58160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/comments?post=58160"}],"version-history":[{"count":18,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/58160\/revisions"}],"predecessor-version":[{"id":223141,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/posts\/58160\/revisions\/223141"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/media\/221159"}],"wp:attachment":[{"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/media?parent=58160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/categories?post=58160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oliveboard.in\/blog\/wp-json\/wp\/v2\/tags?post=58160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}