Mathematics MCQ
Number System MCQ for SSC CGL, CHSL, CPO, MTS & GD Exams
Master Number System with 47 high-yield multiple choice questions from previous year SSC papers. Practice surd operations, comparison of surds, and evaluation with instant answer feedback and detailed explanations.
Mastering Number System for SSC Exams
Number System is one of the most frequently asked topics in the Mathematics section across SSC CGL, CHSL, CPO, MTS, and GD exams. It tests your ability to solve number system concepts such as fractions, decimals, divisibility, place value and recurring decimals.
Core Formulas
- Fraction comparison: Convert to decimals or common denominator; the smallest/largest fraction is identified by value.
- Divisibility: A number is divisible by 9 if digit sum is divisible by 9; by 11 if alternating digit-sum difference is a multiple of 11.
- Recurring decimal: 0.3 with bar = 1/3; use 9s in denominator for pure recurrence, 0s+9s for mixed.
- Unit digit: Find the cyclic pattern of the last digit for powers (e.g. 2,4,8,6 for base ending in 2).
Which of the following numbers is the smallest?
The greatest among the following numbers , , , is:
When is added to , the result is is divisible by What is the largest possible value of A ?
A number, when divided by , leaves a remainder of If it is divided by , it will leave a remainder of:
A number when divided successively by and leaves remainder and respectively. When it is successively divided by and the respective remainders will be:
The average age of consecutive odd natural numbers is Which is the largest of these numbers?
The least number of five digits which has as a factor is:
In a division problem, the divisor is times the quotient and times the remainder. If remainder is , the dividend is:
A number when divided by gives remainder What is the remainder when the same number is divided by ?
Which of the following numbers will always divide a six-digit number of the form xyxyxyxy (where ≤x≤, ≤y≤?
Which of the following is the smallest fraction?
Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was The number of members present in the party was:
A number being divided by gives remainder If the number is divided by , the remainder will be:
A number when divided by leaves a remainder When the quotient is divided by , it leaves a remainder What will be the remainder when the number is divided by ?
A number divided by leaves a remainder and if the quotient, thus obtained, is divided by , we get a remainder of What will be the remainder if the number is divided by ?
When a number is divided by , the remainder obtained is What will be the remainder when the number is divided by ?
A number when divided by leaves remainder When the square of the same number is divided by , the remainder is:
If the sum of two numbers is and their quotient is , find the difference between the numbers.
The greatest number among + sqrt(0.16), - , and sqrt(1.44) is:
The sum of first sixty numbers from one to sixty is divisible by:
is equal to:
+ is divided by , the remainder is:
is divided by a certain number. While dividing, the numbers , and appear as three successive remainders. The divisor is:
If a number is as much greater than as it is less than , then the number is:
The smallest possible three-place decimal number is:
The largest among the numbers , sqrt(0.0121), and sqrt(0.0004) is:
A student was asked to multiply a number by but he divided that number by His result was less than the correct answer. The number was:
Which of the following is the largest fraction?
When a number is divided by the remainder is If that number is divided by , the remainder will be:
How many natural numbers divisible by are there between and ?
A number when divided by gives a remainder If the same number is divided by , the remainder will be:
Which of the following is correct?
A number divided by gives the quotient and remainder zero. If the same number is divided by , the remainder is:
A six digit number is formed by repeating a three digit number; for example, or etc. Any number of this form is always exactly divisible by:
The least among the fractions , , , is:
The smallest number of five digits exactly divisible by is:
Which of the following number is the greatest of all ? , (recurring), , (recurring)
Which of the following fraction is the smallest?
The least number among , sqrt(9/49), (recurring) and is:
The greatest value among the fractions , , , is:
Which of the following number is NOT divisible by ?
The product of two numbers is and the quotient, when the larger one is divided by the smaller, is The sum of the numbers is:
If of the difference of and is subtracted from of , the result is:
The divisor is times the quotient and times the remainder. If the quotient is , the dividend is:
The product of two positive numbers is and their quotient is Find the difference of two numbers.
Sum of three fractions is On dividing the largest fraction by the smallest fraction, is obtained which is greater than the middle fraction. The smallest fraction is:
When a number is divided by , the remainder is What will be the remainder when it is divided by ?
Answer Key
Number System MCQ Answers
Detailed Answer Explanations
- Q1. Answer: (A)
= , ≈ , ≈ , ≈ The smallest is - Q2. Answer: (C)
LCM of , , , = = = , = = , = = , = The greatest is - Q3. Answer: (C)
+ = is divisible by , so + B + = multiple of B = or If B = , then + = , so A = If B = , then + = , so A = Hence, largest value of A = - Q4. Answer: (C)
is a multiple of Required remainder = remainder obtained on dividing by = - Q5. Answer: (B) ,
Let the number be x. x = + , y = + ⇒ x = + + = + Dividing x by : + = + + Then dividing + by : remainder So remainders are , - Q6. Answer: (A)
The middle number (4th) is So the numbers are , , , , , , The largest is - Q7. Answer: (A)
The smallest 5-digit number is Remainder on dividing by is Required number = + - = - Q8. Answer: (A)
Remainder = Divisor = × = Divisor = × Quotient ⇒ Quotient = = Dividend = Divisor × Quotient + Remainder = × + = - Q9. Answer: (A)
Since is a multiple of , the remainder is obtained by dividing by , which is - Q10. Answer: (A)
Number = xyxyxyxy = xy × + xy × + xy = xy(10000 + + = xy × - Q11. Answer: (C)
= , ≈ , ≈ , ≈ Hence is the smallest. - Q12. Answer: (C)
Let number of members be n. Each member contributed rupees. Total collection = n × = = ⇒ n² = ⇒ n = - Q13. Answer: (A)
is a multiple of Hence, the required remainder is obtained on dividing by Required remainder = - Q14. Answer: (A)
Let number be x. x = + q = + ⇒ x = + + = + Remainder when divided by = - Q15. Answer: (C)
Let number be x. x = + , q = + ⇒ x = + + = + Remainder when divided by = - Q16. Answer: (A)
When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor. Hence, on dividing by , the remainder is - Q17. Answer: (C)
If a number leaves remainder when divided by , it is of the form + Square = + = + + Remainder when divided by is - Q18. Answer: (B)
Let the numbers be x and y. = => x = x + y = => = => y = , x = Difference = - Q19. Answer: (A) + sqrt(0.16)
+ sqrt(0.16) = + = ; - = - = ; × = ; sqrt(1.44) = Hence, sqrt(1.44) is the greatest. - Q20. Answer: (B)
Sum = × = × Clearly, it is divisible by - Q21. Answer: (C)
= = - Q22. Answer: (A)
= + Each term except the last term is divisible by Hence, + when divided by leaves remainder + = - Q23. Answer: (B)
Number at (i) = - = Number at (ii) = - = Number at (iii) = - = Clearly, , and are multiples of Divisor = - Q24. Answer: (C)
Let the number be x. Then, x - = - x ⇒ = ⇒ x = - Q25. Answer: (C)
The smallest possible three-place decimal number is (which is not listed). Hence, the correct option is None of the above. - Q26. Answer: (B) sqrt(0.0121)
= , sqrt(0.0121) = , sqrt(0.0004) = Clearly, < < < Hence, is the largest. - Q27. Answer: (A)
Let the number be x. (x × - (x ÷ = ⇒ - = ⇒ - = ⇒ = ⇒ x = - Q28. Answer: (C)
Decimal equivalents: = , = , = , = Clearly, is the greatest, so is the largest. - Q29. Answer: (B)
is exactly divisible by Required remainder = Remainder obtained on dividing by = - Q30. Answer: (A)
Multiples of : , , , ..., Number of terms = - + = + = + = - Q31. Answer: (A)
Required remainder = remainder got when is divided by = - Q32. Answer: (A) < <
= , = , = Hence, < < - Q33. Answer: (A)
Number = × = × + = × + Remainder on dividing by = - Q34. Answer: (C) only
The number (xyzxyz) = + + = + + z). Since × × = , the number is divisible by all three. Hence, it is divisible by - Q35. Answer: (A)
= , = , = , ≈ The least is - Q36. Answer: (C)
The smallest 5-digit number is Dividing by gives remainder , so the required number is + - = - Q37. Answer: (A)
= = , ̄ = = , = = , ̄ = = ≈ Hence, ̄ is the greatest. - Q38. Answer: (C)
The decimal equivalents of : = , = , = , and = Therefore, the smallest number is - Q39. Answer: (A)
≈ , sqrt(9/49) = ≈ , ̄ = , = The smallest is sqrt(9/49) ≈ - Q40. Answer: (A)
≈ , = , ≈ , = The greatest is - Q41. Answer: (C)
A number is divisible by if it is divisible by and both. is not divisible by Hence, is not divisible by - Q42. Answer: (B)
Let numbers be x and y (x > y). xy = , = ⇒ x = = ⇒ y² = ⇒ y = x = Sum = - Q43. Answer: (C)
of = × = Difference of and = - = - = of this = × = Result = - = - = - Q44. Answer: (A)
Quotient = Divisor = × = Remainder = = Dividend = Divisor × Quotient + Remainder = × + = - Q45. Answer: (A)
Let numbers be x and y. xy = , = x² = × = ⇒ x = y = Difference = - = - Q46. Answer: (A)
Let fractions be p < q < r. = ⇒ r = Middle fraction q = - = p + + = ⇒ = - = ⇒ p = - Q47. Answer: (A)
is exactly divisible by Required remainder = remainder obtained on dividing by =
Why Practice Number System MCQs for SSC?
Number System is one of the most scoring and predictable topics in the Mathematics section of SSC exams. Regular practice helps you simplify radicals quickly, avoid arithmetic traps, and solve comparison problems accurately. At Shortcut Maths in Jadavpur, Kolkata, we recommend solving topic-wise MCQs to improve speed and accuracy.
Key Number System Topics Covered in These 47 MCQs
- Basic Surd Operations: Addition, subtraction, multiplication and division of radicals.
- Comparison & Ordering: Ordering numbers and fractions by value.
- Remainders & Divisors: Solving remainder-based application problems.
- Evaluation: Simplifying expressions using given values.
Recommended Study Plan for SSC Maths
- Step 1 - Learn Concepts: Understand the core number system rules and methods.
- Step 2 - Practice MCQs: Solve this 47-question set and review the detailed explanations.
- Step 3 - Attempt Mock Tests: Test your speed on exam-like mocks. Visit our Online Mock Tests section for SSC, Bank and Railway practice tests.
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Frequently Asked Questions
Q1. How many Number System MCQs are given on this page?
This page contains 47 carefully selected Number System MCQs with answers and detailed explanations for SSC and other competitive exam preparation.
Q2. Are these Number System MCQs useful for SSC CGL and CHSL exams?
Yes. Number System is a high-weight topic in the SSC CGL, CHSL, CPO, MTS and GD Quantitative Aptitude section, and these MCQs are taken from previous year SSC papers.
Q3. Can I see the answer key with explanations for all questions?
Yes. Scroll to the Answer Key section below the quiz, or click "Show All Answers" above the quiz to reveal all correct options instantly.
Q4. Where can I get classroom coaching for Maths and other subjects?
Join Shortcut Maths SSC Coaching in Jadavpur, Kolkata for expert Quantitative Aptitude, Reasoning, English and General Awareness classes.
Q5. How should I use these MCQs for best results?
Attempt all questions in quiz mode first, then review the detailed explanations for the ones you got wrong, and revise the core surd rules before taking a full mock test.
Last updated: July 23, 2026. For maths coaching and doubt clearing, contact Shortcut Maths, Jadavpur, Kolkata 700032. Call +91-9804490328 or WhatsApp us.
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