Number System Questions

The number system covers divisibility, factors, multiples, and related numerical properties. This collection focuses on LCM-based problems, including finding the smallest numbers that satisfy given divisibility and remainder conditions.

25 questions

  1. Find the unit digit of 999^3 + 888^2 + 777^1.
    SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 57 · Medium
  2. Simplify: 1.25 + 2.5 × (1.6 − 0.4) ÷ 0.2
    SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 55 · Easy
  3. What is the Hexadecimal representation of 4?
    SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 51 · Medium
  4. For what value of x is the statement \(\left(\frac{x}{16}\right)\left(\frac{x}{64}\right)=1\) true?
    SSC Selection Post 2026 Graduate · 2026 · 22 Sep Shift 1st · Question 51 · Easy
  5. A number is written as 3.272727... (repeating). Express it as a fraction.
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 66 · Easy
  6. What is the unit digit of 17⁸³?
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 56 · Medium
  7. Solve 3x + 5 = 20.
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 54 · Medium
  8. If a, b, c are in A.P. and a^2, b^2, c^2 are in G.P., then what is the relation among a, b, c?
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 53 · Medium
  9. Simplify (\(\sqrt{50}\) - \(\sqrt{8}\))
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 52 · Medium
  10. Which number system uses digits 0-9 and letters A-F?
    SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 51 · Medium
  11. Find the number of digits in the square root of 282429536481.
    SSC Selection Post 2026 Graduate · 2026 · 19 Sep Shift 1st · Question 51 · Easy
  12. In which of the following, the two expressions are like terms?
    SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 56 · Hard
  13. Find x: \(\sqrt{x+8}=10\)
    SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 54 · Hard
  14. What is the binary equivalent of the decimal number 14?
    SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 52 · Easy
  15. If x is irrational and y is irrational, then x+y is:
    SSC CHSL Tier 1 · 2025 · 18 Nov Shift 3rd · Question 51 · Easy
  16. Which of the following is the largest three-digit number that is a perfect square?
    SSC CHSL Tier 1 · 2025 · 18 Nov Shift 2nd · Question 54 · Medium
  17. A perfect square between 50 and 70 is:
    SSC CHSL Tier 1 · 2025 · 17 Nov Shift 2nd · Question 57 · Medium
  18. What is the square of 129?
    SSC CHSL Tier 1 · 2025 · 17 Nov Shift 2nd · Question 56 · Medium
  19. Which number is in both natural and integer sets?
    SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 52 · Medium
  20. Which number is NOT part of the natural numbers?
    SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 51 · Medium
  21. Given that \(343\times(\sqrt7)^n=49^4\), find n.
    SSC CHSL Tier 1 · 2025 · 14 Nov Shift 1st · Question 70 · Medium
  22. What is the simplest form of the fraction represented by the recurring decimal 0.454545...?
    SSC CHSL Tier 1 · 2025 · 14 Nov Shift 1st · Question 68 · Medium
  23. What is the square root of 7744?
    SSC CHSL Tier 1 · 2025 · 14 Nov Shift 1st · Question 64 · Easy
  24. A number when divided by 45 leaves remainder 27, and when divided by 27 leaves remainder 9. Find the smallest such number.
    SSC CHSL Tier 1 · 2025 · 14 Nov Shift 1st · Question 57 · Medium
  25. Which of the following is the smallest number divisible by 9, 12, and 15 and leaves a remainder of 4 in each case?
    SSC CHSL Tier 1 12 Nov 2025 Shift 2 · Question 59 · Medium