Number System Tests — Pick a Level and Start
Tap a level to see every test in it. Start at Level 1 the day you finish the concept, move to Level 2 with the timer running, and use Level 3 to push accuracy under pressure.
Level 1 Basic Checking… View tests
Straight application of the rules — divisibility tests, place value, simple factors and unit digits. Attempt these without the clock while the concept is still fresh.
Level 2 Tier I Standard Checking… View tests
Real SSC CGL Tier I difficulty — mixed remainders, cyclicity on large powers, number of factors and successive division. This is the score that tells you the chapter is exam-ready.
Level 3 Hard / Tier II Checking… View tests
Tier II and tough-shift questions — layered remainder theorems, trailing zeros in awkward factorials, and multi-step factor problems that punish guesswork.
Number System is the opening chapter of the SSC CGL Quantitative Aptitude syllabus and one of the fastest to score in. Two to three questions come from it in almost every Tier I shift, and nearly all of them are solvable in under thirty seconds — if you already know the rule being tested. There is very little calculation involved; there is a great deal of pattern recognition.
That is exactly what these practice tests train. Each test puts fifty number system questions in front of you in one sitting, which is what makes the repeated shapes visible — the same unit digit cycles, the same divisibility tricks, the same remainder patterns SSC has been recycling for years.
How Many Number System Questions Are Asked in SSC CGL?
Number System rarely appears alone. It sits at the head of a block of closely linked chapters, and that block together is worth four to six marks in a typical Tier I shift.
| Chapter | Tier I (out of 25) | Tier II Paper I (out of 30) |
|---|---|---|
| Number System | 2–3 | 3–4 |
| LCM & HCF | 1–2 | 1–2 |
| Rule of Divisibility | 0–1 | 0–1 |
| Remainder Theorem | 0–1 | 1 |
| Power, Indices & Surds | 1–2 | 1–2 |
Typical spread across recent SSC CGL shifts. SSC does not publish a chapter-wise breakup, so treat these as planning ranges. Tier I maths is always 25 questions in a locked 15-minute section.
What You Will Practice in the Number System Chapter
Core topics
- Classification of numbers — natural, whole, integers, rational, irrational, prime, composite, co-prime
- Place value and face value
- Divisibility rules and finding the missing digit that makes a number divisible
- Factors — total number of factors, sum of factors, number of even and odd factors
- Unit digit of a large power, using cyclicity
- Remainder theorem, including remainders of large powers
- Successive division and the relation between divisor, quotient and remainder
- Number of trailing zeros in a factorial
- Sum of the first n natural numbers, squares and cubes
- Finding the largest or smallest number satisfying given remainder conditions
Divisibility rules you must know cold
| Divisor | Rule |
|---|---|
| 2 | Last digit is even |
| 3 | Sum of the digits is divisible by 3 |
| 4 | Last two digits form a number divisible by 4 |
| 5 | Last digit is 0 or 5 |
| 6 | Divisible by both 2 and 3 |
| 8 | Last three digits form a number divisible by 8 |
| 9 | Sum of the digits is divisible by 9 |
| 11 | Difference between the sum of digits in odd and even places is 0 or a multiple of 11 |
Unit digit cyclicity
| Last digit of base | Cycle | Cycle length |
|---|---|---|
| 2 | 2, 4, 8, 6 | 4 |
| 3 | 3, 9, 7, 1 | 4 |
| 7 | 7, 9, 3, 1 | 4 |
| 8 | 8, 4, 2, 6 | 4 |
| 4 | 4, 6 | 2 |
| 9 | 9, 1 | 2 |
| 0, 1, 5, 6 | Same digit always | 1 |
Divide the power by the cycle length and read the remainder. A remainder of 0 means take the last value in the cycle.
Formulas worth memorising
- If
N = a^p × b^qwith a and b prime, the number of factors is(p+1)(q+1) - Sum of the first n natural numbers =
n(n+1)/2 - Sum of the first n squares =
n(n+1)(2n+1)/6 - Sum of the first n cubes =
[n(n+1)/2]² - Dividend = Divisor × Quotient + Remainder
- Trailing zeros in n! =
[n/5] + [n/25] + [n/125] + …
Solved Examples — SSC CGL Number System
How the Number System Chapter Tests Work
- 50 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
- Optional 30-minute timer — with the clock to build exam speed, without it while you are still learning the chapter.
- Marking: +2 correct, −0.5 wrong, 0 unattempted — the same scheme as the real paper.
- Solutions, shortcut tricks and concept notes open after you submit, question by question.
- English and हिंदी, chosen at the start of every test.
- No login needed to attempt a test.
How to Prepare Number System for SSC CGL
- Memorise the two tables above before anything else. Divisibility rules and unit digit cyclicity between them cover a large share of the questions actually asked, and neither needs any calculation.
- Do Level 1 untimed, the same day you finish the theory. The aim is correct recall of the rule, not speed.
- Move to Level 2 with the 30-minute clock on. A number system question that takes you more than forty seconds means the rule has not been internalised yet.
- Read the solution even for questions you got right. The shortcut in the solution panel is often two steps shorter than the method you used.
- Study it as a block, not a chapter. Do LCM and HCF, divisibility and remainder theorem immediately after — they reuse the same ideas and go much faster together.
- Verify against a real paper. Once Level 2 is consistent, attempt a previous year paper and then a full mock test under locked sectional timing.
SSC CGL संख्या पद्धति (Number System) चैप्टर टेस्ट — हिंदी में
संख्या पद्धति SSC CGL गणित का सबसे तेज़ स्कोरिंग अध्याय है। हर शिफ्ट में लगभग 2–3 प्रश्न इसी से आते हैं और अधिकांश प्रश्न 30 सेकंड से कम में हल हो जाते हैं, बशर्ते नियम याद हो — विभाज्यता के नियम, इकाई अंक की चक्रीयता, शेषफल प्रमेय और गुणनखंडों की संख्या।
TrickySSC पर इस अध्याय के सभी टेस्ट हिंदी में उपलब्ध हैं — प्रश्न, विकल्प, विस्तृत हल और शॉर्टकट ट्रिक सब हिंदी में। तीन स्तर हैं: लेवल 1 (आधारभूत), लेवल 2 (टियर I स्तर) और लेवल 3 (कठिन / टियर II स्तर)। प्रत्येक टेस्ट में 50 प्रश्न, वैकल्पिक 30 मिनट का टाइमर और +2 / −0.5 की वही मार्किंग जो असली परीक्षा में होती है।