Number System Questions for SSC, Bank & Railway Exams: 22 Free Practice Tests
Number system covers divisibility, remainders, HCF and LCM, unit digits and factors. It is one of the most asked topics in SSC CGL and CHSL maths.
A handful of rules solves most questions without long division.
- Free tests
- 22
- Questions
- 428
- Exams
- 8
Number System: Key rules and formulas
- Divisibility: by 3 or 9 if the digit sum is divisible by 3 or 9; by 4 if the last two digits are; by 8 if the last three digits are; by 11 if the difference between the sums of alternate digits is 0 or a multiple of 11.
- For two numbers: HCF × LCM = product of the numbers.
- If N = pᵃ × qᵇ × rᶜ (p, q, r prime), the number of factors = (a + 1)(b + 1)(c + 1).
- Unit digits of powers repeat in cycles of 4 (2: 2, 4, 8, 6; 3: 3, 9, 7, 1).
- Sum of the first n natural numbers = n(n + 1) ÷ 2; sum of their squares = n(n + 1)(2n + 1) ÷ 6.
SSC CGL Number System Questions (7 tests)
133 questions, timed like the SSC CGL paper, with instant score.
- SSC CGL Number System Mock Test 0120 Qs•20 min•EasyStart
- SSC CGL Number System Mock Test 0220 Qs•20 min•MediumStart
- SSC CGL Number System Mock Test 0320 Qs•20 min•HardStart
- SSC CGL Number System Mock Test 0415 Qs•12 min•HardStart
- SSC CGL Number System Mock Test 0515 Qs•12 min•MediumStart
- SSC CGL Number System Mock Test 0620 Qs•16 min•MediumStart
- SSC Number System and Simplification Previous Year Questions Set 1 (CGL, CHSL, MTS, GD Official Papers)23 Qs•14 min•MediumStart
SSC CHSL Number System Questions (2 tests)
30 questions, timed like the SSC CHSL paper, with instant score.
SSC MTS Number System Questions (3 tests)
45 questions, timed like the SSC MTS paper, with instant score.
SSC GD Number System Questions (3 tests)
45 questions, timed like the SSC GD paper, with instant score.
SBI PO Number System Questions (1 test)
15 questions, timed like the SBI PO paper, with instant score.
IBPS Clerk Number System Questions (2 tests)
100 questions, timed like the IBPS Clerk paper, with instant score.
RRB NTPC Number System Questions (1 test)
15 questions, timed like the RRB NTPC paper, with instant score.
RRB Number System Questions (3 tests)
45 questions, timed like the RRB paper, with instant score.
Number System Notes and Tricks
Number System Questions: FAQs
How many free number system tests are on BookOfExams?
22 tests with 428 questions in total, across 8 exams. The count updates whenever a new test is added.
How do I find the unit digit of a large power?
Divide the power by 4 and use the remainder in the cycle of the base's unit digit; a remainder of 0 means the last term of the cycle.
Is 1 a prime number?
No. A prime has exactly two factors; 1 has only one. 2 is the only even prime.
Do these tests have solutions?
Yes. Every test shows your score and accuracy as soon as you submit, with a step-by-step solution for each question after a free sign-in.