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Mathematics - Basic of Mathematics

Practise 34 WBJEE previous year questions on Basic of Mathematics, compiled from papers spanning 2009 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 WBJEE tests.

Basic of Mathematics has been asked in 16 of the 18 years of WBJEE papers analysed (2009–2026), with 34 questions in all. 68% of them were easy, 29% moderate and 3% tough. Most of its questions came from 2020, with 4 questions that year. In the last three years (2024–2026) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 4 topics are not weighted equally: Logarithm (23 questions, 68%), Inequalities (5 questions, 15%), and Divisibility Test (5 questions, 15%) have been asked the most. Logarithm has also led over the last five years, with 2 questions. Logarithm has produced the most tough questions (1).

  1. 1Suppose is denoted the set of all numbers between 1 and 700 which are divisible by 3 and let is denoted the set of all numbers between 1 and2026Divisibility Test
  2. 2If then the value of is2024Logarithm
  3. 3If where is an integer not divisible by 3 . then2024Divisibility Test
  4. 4If \(y= ^n x\), where \( ^n\) means \( _e _e _e \) (repeated \(n\) times), then \(x x ^2 x ^3 x . . ^{n-1} x ^n x {d y}{d x}\) is equal to2023Logarithm
  5. 5If satisfies the inequality , then belongs to2022Inequalities
  6. 6Let . Then2020Logarithm
  7. 7If , then2020Logarithm
  8. 8A particle is projected vertically upwards. If it has to stay above the ground for 12 seconds, then2020Ratio and Proportion
  9. 9The equation has2020Logarithm
  10. 10If , then the values of are2019Logarithm
  11. 11is divisible by2019Divisibility Test
  12. 12Let and , for all Then2019Inequalities
  13. 13If then the value of is2018Logarithm
  14. 14For and for any positive , let then2018Inequalities
  15. 15The equation2018Logarithm
  16. 16If then equals2017Logarithm
  17. 17For positive integer is always divisible by2016Divisibility Test
  18. 18Given that, is a real number satisfying then2015Inequalities
  19. 19Preview not available - open to view this question.2015Logarithm
  20. 20The number of real roots of equation is2015Logarithm
  21. 21Let be a polynomial, which when remainders 10 and 6, respectively. If the polynomial is divided by thes the remainder is2015Divisibility Test
  22. 22The solution of the equation is2014Logarithm
  23. 23The number of digits in (given, is2014Logarithm
  24. 24If and are positive numbers in a GP, then the roots of the quadratic equation are2014Logarithm
  25. 25The number of solutions of the equation is2013Logarithm
  26. 26If and Then, the value of loge is2013Logarithm
  27. 27The number of solutions of the equation is2012Logarithm
  28. 28If , then2012Inequalities
  29. 29If \( _3 x+ _3 y=2+ _3 2\) and \( _3(x+y)=2\), then2011Logarithm
  30. 30If \( _7 2= \), then the value of \( _{49}(28)\) is2011Logarithm
  31. 31The value of is2010Logarithm
  32. 32In a right-angled triangle, the sides are and , with as hypotenuse, and . Then the value of will be2010Logarithm
  33. 33The value of is2009Logarithm
  34. 34If , then the value of will be2009Logarithm

Frequently Asked Questions

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

This chapter includes 34 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Basic of Mathematics has appeared in 16 of the 18 years of WBJEE papers covered here, with 34 questions across 16 papers - about 2 per paper it appears in.

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

Of the 34 questions analysed for this chapter, 68% are easy, 29% moderate and 3% tough. 2020 had the most, with 4 questions.

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

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

  • Logarithm - 23 questions (68%)
  • Inequalities - 5 questions (15%)
  • Divisibility Test - 5 questions (15%)
  • Logarithm has produced the most tough questions (1).
6.Is Basic of Mathematics's weightage in WBJEE going up or down?

Across all 16 papers analysed, Basic of Mathematics has averaged about 2.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.