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Mathematics - Basic of Mathematics

Practise 63 NDA previous year questions on Basic of Mathematics, compiled from papers spanning 2010 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NDA tests.

Basic of Mathematics has been asked in 16 of the 21 years of NDA papers analysed (2006–2026), with 63 questions in all. 32% of them were easy, 68% moderate and 0% tough. Most of its questions came from 2018, with 11 questions that year. In the last three years (2024–2026) it had 9 questions across 5 papers, about 1.8 per paper.

The chapter's 4 topics are not weighted equally: Logarithm (37 questions, 59%), Inequalities (15 questions, 24%), and Divisibility Test (8 questions, 13%) have been asked the most. Logarithm has also led over the last five years, with 8 questions.

  1. 1If , then what is a value of ?2026 (Phase 1)Logarithm
  2. 2If , where , and are in GP, then consider the following statements: I. , and are in AP. II. , and are in GP. Which of the statements given a2025 (Phase 2)Logarithm
  3. 3For the following two (02) items: Let and . If , then which one of the following is correct?2025 (Phase 2)Logarithm
  4. 4For the following two (02) items: Let and . If , then what is equal to?2025 (Phase 2)Logarithm
  5. 5What is the sum of the binary numbers and ?2025 (Phase 2)Inequalities
  6. 6If and , then what is equal to?2024 (Phase 1)Logarithm
  7. 7What is the remainder when is divided by2024 (Phase 1)Divisibility Test
  8. 8What is the number of solutions of ?2024 (Phase 1)Logarithm
  9. 9For , let , then the value of can never be equal to:2024 (Phase 1)Logarithm
  10. 10If and are in G.P, then what is equal to?2023 (Phase 1)Logarithm
  11. 11Consider the following statements: 1. is divisible by 26 2. (6)! +1 is divisible by 7 Which of the above statement is/are correct?2023 (Phase 1)Divisibility Test
  12. 12How many real numbers satisfy the equation2023 (Phase 1)Inequalities
  13. 13If ! is divided by 24 , what is the remainder?2023 (Phase 2)Divisibility Test
  14. 14Consider the following statements : 1. is divisible by 6 , where 2. is divisible by 7 , where Which of the above statements is/are correct?2022 (Phase 1)Divisibility Test
  15. 15If where are natural numbers, then what is the minimum value of ?2022 (Phase 1)Inequalities
  16. 16Let and let be defined by the highest prime factor of . How many elements are there in the range of ?2022 (Phase 2)Divisibility Test
  17. 17If !, then what is the value of the following?2021 (Phase 1)Logarithm
  18. 18If , then what is the value of ?2021 (Phase 2)Logarithm
  19. 19If are in AP, then what is equal to?2021 (Phase 2)Logarithm
  20. 20What is the value of2020Logarithm
  21. 21If , then which of the following is correct?2020Logarithm
  22. 22If , then which one of the following is correct?2020Inequalities
  23. 23What is the minimum value of , where ?2020Inequalities
  24. 24If , then what is equal to?2019 (Phase 1)Logarithm
  25. 25If , then which one of the following is correct?2019 (Phase 2)Inequalities
  26. 26Let , where . What are and equal to?2019 (Phase 2)Inequalities
  27. 27How many two-digit numbers are divisible by 4 ?2019 (Phase 2)Divisibility Test
  28. 28What is the solution of and ?2019 (Phase 2)Inequalities
  29. 29If where , then which one of the following is correct?2019 (Phase 2)Logarithm
  30. 30The mean weight of 150 students in a certain class is 60 kg . The mean weight of boys is 70 kg and that of girls is 55 kg . What are the num2019 (Phase 2)Ratio and Proportion
  31. 31If , then is divisible by which one of the following?2018 (Phase 1)Divisibility Test
  32. 32If , then what is equal to2018 (Phase 1)Logarithm
  33. 33If , where is an integer, then what is equal to?2018 (Phase 1)Logarithm
  34. 34What is equal to ?2018 (Phase 1)Logarithm
  35. 35What is the greatest integer among the following by which the number is divisible?2018 (Phase 1)Divisibility Test
  36. 36If , the value of a is negative. This is justified by2018 (Phase 1)Logarithm
  37. 37What is the value of equal to?2018 (Phase 2)Logarithm
  38. 38Consider the following expressions: 1. 2. 3. 4. 5. Which of the above are rational expressions?2018 (Phase 2)Inequalities
  39. 39What is the value of ?2018 (Phase 2)Logarithm
  40. 40If and , then what is the value of to the nearest tenth?2018 (Phase 2)Logarithm
  41. 41The average age of a combined group of men and women is 25 years. If the average age of the group of men is 26 years and the of the group of2018 (Phase 2)Ratio and Proportion
  42. 42If then is equal to2017 (Phase 2)Logarithm
  43. 43If denotes the absolute value of an integer, then which of the following are correct? 1. 2. 3. Select the correct answer using the code give2017 (Phase 2)Inequalities
  44. 44The sum of all real roots of the equation is2017 (Phase 2)Inequalities
  45. 45If , then what is equal to?2016 (Phase 1)Logarithm
  46. 46If then what is equal to?2016 (Phase 1)Logarithm
  47. 47If and , then which of the following is/are correct? 1. 2. Select the correct answer using the code given below:2016 (Phase 2)Inequalities
  48. 48If for any and , then which one of the following is correct?2016 (Phase 2)Logarithm
  49. 49If and , then which of the following is/ are correct? 1. 2. Select the correct answer using the code given below:2015 (Phase 2)Inequalities
  50. 50If , then m is equal to2015 (Phase 2)Logarithm

Frequently Asked Questions

1.How many questions are available for Basic of Mathematics?

This chapter includes 63 questions compiled from NDA papers spanning 2010 to 2026.

2.Are these questions only from NDA, or from other exams too?

These are NDA questions specifically for the Basic of Mathematics chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Basic of Mathematics an important chapter for NDA Mathematics?

Basic of Mathematics has appeared in 16 of the 17 years of NDA papers covered here, with 63 questions across 26 papers - about 2 per paper it appears in.

4.What is the difficulty level of Basic of Mathematics questions in NDA?

Of the 63 questions analysed for this chapter, 32% are easy, 68% moderate and 0% tough. 2018 had the most, with 11 questions.

5.Which topics in Basic of Mathematics should I focus on?

These topics have carried the most weightage in Basic of Mathematics:

  • Logarithm - 37 questions (59%)
  • Inequalities - 15 questions (24%)
  • Divisibility Test - 8 questions (13%)
6.Is Basic of Mathematics's weightage in NDA going up or down?

Across all 26 papers analysed, Basic of Mathematics has averaged about 2.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.