SSC CGL Number System Practice Test 2026 — Free Chapter Wise Questions

Number System Tests — Pick a Level and Start

Tap a level to see every test in it. Level 1 is set at real SSC CGL difficulty — start there the day you finish the concept. Level 2 is pitched above the exam, to push accuracy under pressure.

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 twenty-five 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.

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

Unit digit cyclicity

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^q with 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

• 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
• Optional 15-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.
• Free with a TrickySSC account — sign in once with Google or your mobile number, and every test is open to you.

How to Prepare Number System for SSC CGL

1. 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.
2. Do Level 1 untimed, the same day you finish the theory. It is set at real SSC CGL difficulty; the aim is correct recall of the rule, not speed.
3. Repeat Level 1 with the 15-minute clock on, then move to Level 2. A number system question that takes you more than forty seconds means the rule has not been internalised yet.
4. 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.
5. 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.
6. Verify against a real paper. Once Level 1 is consistent under the clock, attempt a previous year paper and then a full mock test under locked sectional timing.

Related SSC CGL Maths Chapters

These chapters share the same ideas as number system. Practising them right after it is the fastest route through the arithmetic block.

All SSC CGL Chapter Wise Tests

Every chapter below has its own free Level 1 and Level 2 tests with full solutions.

SSC CGL Number System — Frequently Asked Questions

More Free SSC CGL Practice