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Mathematics - Mathematical Reasoning

Practise 43 KCET previous year questions on Mathematical Reasoning, compiled from papers spanning 2007 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.

Mathematical Reasoning has been asked in 16 of the 20 years of KCET papers analysed (2007–2026), with 43 questions in all. 49% of them were easy, 40% moderate and 12% tough. Most of its questions came from 2012, with 5 questions that year. In the last three years (2024–2026) it had 1 question across 3 papers, about 0.3 per paper.

All of the chapter's questions come from a single topic, Mathematical Reasoning.

  1. 1The negation of the statement "For every real number is positive" is2024Mathematical Reasoning
  2. 2The contrapositive of the statement. "If two lines do not intersect in the same plane, then they are parallel." is2023Mathematical Reasoning
  3. 3The two lines and are perpendicular if2020Mathematical Reasoning
  4. 4The negation of the statement "All continuous functions are differentiable"2019Mathematical Reasoning
  5. 5The negation of the statement " \( 72 \) is divisible by \( 2 \) and \( 3 \) " is2018Mathematical Reasoning
  6. 6The eccentricity of the ellipse \( {x^{2}}{36}+ {y^{2}}{16}=1 \) is2017Mathematical Reasoning
  7. 7\( _{0}^{ { }{2}} {1}{a^{2} ^{2} x+b^{2} ^{2} x} d x \) is equal to2017Mathematical Reasoning
  8. 8Let \( { }^{*} \) be a binary operation defined on \( R \) by \( a * b= {a+b}{4} a, b R \) then the operation \( * \) is O examsnet com)2016Mathematical Reasoning
  9. 9The contrapositive of the converse of the statement "If \( x \) is a prime number then \( x \) is odd" is2016Mathematical Reasoning
  10. 10The value of \( ^{-1} ( {2 {2}}{3} )+ ^{-1} ( {1}{3} ) \) is equal to2015Mathematical Reasoning
  11. 11If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than \( 5 \) is2015Mathematical Reasoning
  12. 12The domain of the function \( f(x)= { x} \) is2014Mathematical Reasoning
  13. 13If \( a, b \) and \( c \) are in A.P., then the value of \( | {array}{lll}x+2 & x+3 & x+a \\ x+4 & x+5 & x+b \\ x+6 & x+7 & x+c {array} | \)2014Mathematical Reasoning
  14. 14The inverse of the proposition , is2013Mathematical Reasoning
  15. 15A value of satisfying is2013Mathematical Reasoning
  16. 16In a group , for some element of , if , where is the identity element, then2013Mathematical Reasoning
  17. 17In Ine if where is a fixed integer, then the inverse of is2013Mathematical Reasoning
  18. 18Which of the following is incorrect? If and is an integer, then2012Mathematical Reasoning
  19. 19Which of the following is false?2012Mathematical Reasoning
  20. 20can also be written as2012Mathematical Reasoning
  21. 21Which of the following is a subgroup of the group under multiplication?2012Mathematical Reasoning
  22. 22In the group under , then the solution of is2012Mathematical Reasoning
  23. 23The negation of is2011Mathematical Reasoning
  24. 24On the set of all non-zero reals, an operation * is defined as . In this group, a solution of is2011Mathematical Reasoning
  25. 25is a non-zero real number is a group with respect to matrix multiplication. In this group, the inverse of is2011Mathematical Reasoning
  26. 26The greatest value of satisfying and is2010Mathematical Reasoning
  27. 27The least positive integer satisfying is2010Mathematical Reasoning
  28. 28Which of the following is not true?2010Mathematical Reasoning
  29. 29In , the power set of a non-empty set , an binary operation * is defined by under , a true statement is2010Mathematical Reasoning
  30. 30The inverse of 2010 in the group of all positive rational under the binary operation * defined by * , is2010Mathematical Reasoning
  31. 31On the set of all natural numbers , which one of the following * is a binary operation?2009Mathematical Reasoning
  32. 32In the group under addition modulo is equal to2009Mathematical Reasoning
  33. 33Which one of the following is not true?2009Mathematical Reasoning
  34. 34The number of subgroups of the group is2009Mathematical Reasoning
  35. 35The negation of is2009Mathematical Reasoning
  36. 36The converse of the contrapositive of the conditional is2008Mathematical Reasoning
  37. 37On the set , of all integers is defined by . If , then is equal to2008Mathematical Reasoning
  38. 38Which of the following is false ?2008Mathematical Reasoning
  39. 39The set is not a multiplicative group because of the failure of2008Mathematical Reasoning
  40. 40In the group , where , is multiplication modulo 15 , the identity element is2007Mathematical Reasoning
  41. 41A group has 10 elements. The minimum number of elements of , which are their own inverses is2007Mathematical Reasoning
  42. 42The negation of the proposition "If 2 is prime, then 3 is odd'" is2007Mathematical Reasoning
  43. 43Which of the following is not a group with respect to the given operation?2007Mathematical Reasoning

Frequently Asked Questions

1.How many questions are available for Mathematical Reasoning?

This chapter includes 43 questions compiled from KCET papers spanning 2007 to 2024.

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

These are KCET questions specifically for the Mathematical Reasoning chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Mathematical Reasoning an important chapter for KCET Mathematics?

Mathematical Reasoning has appeared in 16 of the 20 years of KCET papers covered here, with 43 questions across 16 papers - about 3 per paper it appears in.

4.What is the difficulty level of Mathematical Reasoning questions in KCET?

Of the 43 questions analysed for this chapter, 49% are easy, 40% moderate and 12% tough. 2012 had the most, with 5 questions.

5.Which topics in Mathematical Reasoning should I focus on?

All of this chapter's questions come from a single topic: Mathematical Reasoning.

6.Is Mathematical Reasoning's weightage in KCET going up or down?

Across all 16 papers analysed, Mathematical Reasoning has averaged about 2.7 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.