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Mathematics - Mathematical Reasoning

Practise 69 NTA Abhyas (JEE Main) questions on Mathematical Reasoning. Each question shows a quick preview so you can jump straight to the topic you want to revise.

Mathematical Reasoning has been asked in 0 of the 24 years of NTA Abhyas (JEE Main) papers analysed (2002–2025), with 69 questions in all. 100% of them were easy, 0% moderate and 0% tough. Most of its questions came from 2025, with 0 questions that year. In the last three years (2023–2025) it had 0 questions across 63 papers, about 0 per paper.

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

  1. 1Let p , q and r be three statements. Consider two compound statements S 1 : p ⇒ q ⇒ r ≡ p ⇒ q ⇒ r S 2 : p ⇔ q ⇔ r ≡ p ⇔ q ⇔ r State in order
  2. 2The negation of ~ p ∧ q ∨ p ∧ ~ q is
  3. 3Let p , q and r be three statements, then p → q → r is equivalent to
  4. 4If p and q are two statements, then which of the following statement is a tautology
  5. 5If p , q and r are three logical statements then the truth value of the statement p ∧ ~ q ∨ q → r , where p is true, is
  6. 6Which of the following statements is false when p is true and q is false?
  7. 7If p and q are two logical statements, then ~ p ∨ q → p → q is equivalent to
  8. 8Which of the following statement is equivalent to the statement "If 2 + 2 = 4 then India is a country"?
  9. 9Let p , q and r are three statements in which p is true. Consider two compound statements S 1 : p q r p q r S 2 : p q r p q r State in order
  10. 10The negation of the statement "If I will become rich, then I will open a school", is
  11. 11Consider three statements p : Person ‘ A ’ passed in mathematics exam q : Person ‘ A ’ passed in physics exam r : Person ‘ A ’ passed in che
  12. 12Which of the statements is not a fallacy?
  13. 13The contrapositive of the statement "If two triangles are identical, then they are similar" is
  14. 14If p and q are two statements, then which of the following statements is not equivalent to p ⇔ p ⇒ q ?
  15. 15If p ⇒ ~ p ∨ q is false, then the truth values of p and q are respectively
  16. 16The statement p q p is negation of the statement
  17. 17Negation of “Monu is in class X or Anu is in class X I I ” is
  18. 18Let and are two mathematical operators. If p q r is equivalent to p q r , then and
  19. 19The statement p ⇔ q is not equivalent to
  20. 20The contrapositive of ( p ∨ q ) ⇒ r is
  21. 21Consider three statements p : Person ‘ A ’ passed in mathematics exam q : Person ‘ A ’ passed in physics exam r : Person ‘ A ’ passed in che
  22. 22The compound statement p → q ∨ p ∧ ~ q is logically equivalent to
  23. 23Negation of the statement, “I will work hard and party” is
  24. 24Which of the following option is incorrect?
  25. 25The compound statement p ↔ q ∨ p ↔ ~ q is logically equivalent to
  26. 26The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is
  27. 27The compound statement p → ∼ q ∨ p ∧ q is logically equivalent to
  28. 28If p : A man is happy and q : A man is rich are two statements, then the statement, "If a man is not happy, then he is not rich" can be writ
  29. 29The statement ~ p → q → p is equivalent to
  30. 30The converse of p ⇒ q ⇒ r is
  31. 31∼ p ∨ q ∨ ∼ p ∧ q is equivalent to
  32. 32If p and q are two statements, then p p q is equivalent to
  33. 33Consider the statement p : If a hexagon is regular then all its sides and angles are equal. The contrapositive of statement p is
  34. 34The statement ~ p ⇔ q ∧ p is equivalent to
  35. 35Consider three statements p : Suyash will come today evening q : Shalini will be at his home r : They will go to party. Then the statement ~
  36. 36For two statements p and q , the logical statement p ⇒ q ∧ q ⇒ ~ p is equivalent to
  37. 37The logically equivalent proposition of p ⇔ q is
  38. 38If p , q and r are three logical statements, then the truth value of the statement p q q r , where p is true, is
  39. 39If p q r is false, then the truth values of p , q and r respectively are (here, T is true and F is false)
  40. 40What are the truth values of p q and p q respectively, when p and q always speak the truth in any argument?
  41. 41If p q r is F a l s e , then the truth values of p , q , r are respectively (where T is T r u e and F is F a l s e )
  42. 42If x = 6 and y = - 2 then x - 2 y = 9 . The contrapositive of this statement is
  43. 43Let p , q and r be three statements, then ~ p → q → r is equivalent to
  44. 44Consider the statement p : If slope of a straight line is 1 then it is equally inclined to both the axes. Then, the contrapositive of the st
  45. 45Let p : Maths is interesting and q : Maths is easy, then p ⇒ ~ p ∨ q is equivalent to
  46. 46Let ⊕ and ⊗ are two mathematical operators. If p ⊕ p ⊗ q is not a tautology, then ⊕ and ⊗ can be
  47. 47Which of the following is incorrect?
  48. 48Which of the following statements is not a fallacy?
  49. 49Which of the following statement is converse of the statement “If it rains then we will party”?
  50. 50If p and q are logical statements, then p ⇒ ~ q ⇒ p is equivalent to

Frequently Asked Questions

1.How many questions are available for Mathematical Reasoning?

This chapter includes 69 NTA Abhyas (JEE Main) questions.

2.Are these questions only from NTA Abhyas (JEE Main), or from other exams too?

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

3.What is the difficulty level of Mathematical Reasoning questions in NTA Abhyas (JEE Main)?

Of the 69 questions analysed for this chapter, 100% are easy, 0% moderate and 0% tough. 2025 had the most, with 0 questions.

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

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