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Mathematics - Mathematical Reasoning

Practise 234 MHTCET previous year questions on Mathematical Reasoning, compiled from papers spanning 2007 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 MHTCET tests.

Mathematical Reasoning has been asked in 16 of the 17 years of MHTCET papers analysed (2007–2026), with 234 questions in all. 73% of them were easy, 24% moderate and 3% tough. Most of its questions came from 2026, with 37 questions that year. In the last three years (2024–2026) it had 100 questions across 59 papers, about 1.7 per paper.

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

  1. 1The negation of the inverse of the statement is...20 Apr, 2026 (M)Mathematical Reasoning
  2. 2Which of the following is/are not true ? I) If 1 is not a prime number, then 2 is not a prime number. II) e is a vowel and III) It is not tr20 Apr, 2026 (M)Mathematical Reasoning
  3. 3Consider the following statements. : If , then : The roots of the equation are real if and only if Mumbai is in Maharashtra. : Statement is 20 Apr, 2026 (M)Mathematical Reasoning
  4. 4The contrapositive of is equivalent to20 Apr, 2026 (E)Mathematical Reasoning
  5. 5If is false then which of the following is correct?20 Apr, 2026 (E)Mathematical Reasoning
  6. 6Which of the following logical statements is a tautology?19 Apr, 2026 (M)Mathematical Reasoning
  7. 7The logical statement is logically equivalent to ...19 Apr, 2026 (M)Mathematical Reasoning
  8. 8The simplified switching circuit for the following circuit is19 Apr, 2026 (M)Mathematical Reasoning
  9. 9If is false and is false, then the truth value of is...19 Apr, 2026 (E)Mathematical Reasoning
  10. 10If p, q, r are simple propositions with truth values T, F, T respectively, then which of the following is not a true statement?19 Apr, 2026 (E)Mathematical Reasoning
  11. 11If the truth value of is false, then which of the following is NOT true?19 Apr, 2026 (E)Mathematical Reasoning
  12. 12The negation of the converse of is18 Apr, 2026 (M)Mathematical Reasoning
  13. 13The contrapositive of the statement pattern is18 Apr, 2026 (M)Mathematical Reasoning
  14. 14The correct logical equivalence from the following is /are ___ (I) (II) (III) (IV)18 Apr, 2026 (M)Mathematical Reasoning
  15. 15The minimum number of switches in the simplified form of the following switching circuit is18 Apr, 2026 (E)Mathematical Reasoning
  16. 16If the truth value of the statement pattern is , then the truth values of and are respectively.18 Apr, 2026 (E)Mathematical Reasoning
  17. 17In a switching circuit, if the combination is connected in parallel to the combination , then the room is lit only when18 Apr, 2026 (E)Mathematical Reasoning
  18. 18If is false, then the truth values of and are :17 Apr, 2026 (M)Mathematical Reasoning
  19. 19If the statements p: If voltage increases then current decreases. q : If voltage does not increases then current does not decreases. r : If 17 Apr, 2026 (M)Mathematical Reasoning
  20. 20The statement pattern is17 Apr, 2026 (E)Mathematical Reasoning
  21. 21The negation of is equivalent to ...17 Apr, 2026 (E)Mathematical Reasoning
  22. 22Which of the following statements is/are False? , such that is divisible by 4. , such that S_3 : \, n N, x^2 + 3x - 10 = 0 S_4 : \, n N, n^217 Apr, 2026 (E)Mathematical Reasoning
  23. 23Simplest form of the following switching circuit is16 Apr, 2026 (M)Mathematical Reasoning
  24. 24The negation of the contrapositive of the statement is16 Apr, 2026 (E)Mathematical Reasoning
  25. 25If the truth value of the compound statement is false, then the truth values of the statement patterns and are, respectively ...16 Apr, 2026 (E)Mathematical Reasoning
  26. 26The statements p, q and r have truth values True, False and False respectively. The truth values of a logical statement and its dual are, re15 Apr, 2026 (M)Mathematical Reasoning
  27. 27The dual of the converse of the inverse of the logical statement is equivalent to...15 Apr, 2026 (M)Mathematical Reasoning
  28. 28Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is15 Apr, 2026 (E)Mathematical Reasoning
  29. 29The dual of the statement pattern is equivalent to15 Apr, 2026 (E)Mathematical Reasoning
  30. 30The statement pattern is false. Then the truth values of and are respectively13 Apr, 2026 (M)Mathematical Reasoning
  31. 31Consider the statement patterns A. B. C. D. then statement patterns13 Apr, 2026 (M)Mathematical Reasoning
  32. 32Which of the following statements is logically equivalent to ?13 Apr, 2026 (E)Mathematical Reasoning
  33. 33If the truth value of the compound statement is false, then the truth values of and are respectively...13 Apr, 2026 (E)Mathematical Reasoning
  34. 34The statement pattern is logically equivalent to11 Apr, 2026 (M)Mathematical Reasoning
  35. 35If the truth value of the compound statement is False then the truth values of and are respectively......11 Apr, 2026 (M)Mathematical Reasoning
  36. 36Consider the following statements : If is false then is false. : If is false then is false. The truth values of and are respectively ____11 Apr, 2026 (E)Mathematical Reasoning
  37. 37If then which of the following is not true?11 Apr, 2026 (E)Mathematical Reasoning
  38. 38The negation of statement pattern is05 May, 2025 (E)Mathematical Reasoning
  39. 39If p : switch is closed, q : switch is closed then correct interpretation from the following circuit is05 May, 2025 (E)Mathematical Reasoning
  40. 40Consider the following statements is an even prime number q : If where , then then which of the following has truth value True.27 Apr, 2025 (E)Mathematical Reasoning
  41. 41An alternative equivalent circuit for the circuit is27 Apr, 2025 (E)Mathematical Reasoning
  42. 42If the truth value of the expression is False then truth values of are respectively.26 Apr, 2025 (M)Mathematical Reasoning
  43. 43Consider statements is closed; is closed; is closed. The simplified equivalent circuit diagram and its logical statement for the switching c26 Apr, 2025 (M)Mathematical Reasoning
  44. 44Which of the following statement is a tautology?26 Apr, 2025 (E)Mathematical Reasoning
  45. 45If p, q, r, s are statements, where, are matrices, q: r: s: Maximum value of is 70 then the statement from the following having truth value 26 Apr, 2025 (E)Mathematical Reasoning
  46. 46If the statements and r are true, false and true statements respectively, then the truth value of the statement pattern and the truth value 25 Apr, 2025 (M)Mathematical Reasoning
  47. 47The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled25 Apr, 2025 (M)Mathematical Reasoning
  48. 48Consider the following three statements (A) If then . (B) If then earth is flat. (C) If both (A) and (B) are true then . Which of the follow25 Apr, 2025 (E)Mathematical Reasoning
  49. 49If The switch is closed, The switch is closed, switch is closed, then symbolic form of following switching circuit is equivalent to25 Apr, 2025 (E)Mathematical Reasoning
  50. 50Which of the following is the negation of the statement " For all , there exist such that "23 Apr, 2025 (M)Mathematical Reasoning

Frequently Asked Questions

1.How many questions are available for Mathematical Reasoning?

This chapter includes 234 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Mathematical Reasoning has appeared in 16 of the 17 years of MHTCET papers covered here, with 234 questions across 106 papers - about 2 per paper it appears in.

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

Of the 234 questions analysed for this chapter, 73% are easy, 24% moderate and 3% tough. 2026 had the most, with 37 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 MHTCET going up or down?

Across all 106 papers analysed, Mathematical Reasoning has averaged about 2.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.