Jump to a section

NDA 2025 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2025 Phase 2 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 270 questions in total - 107 easy (40%), 159 moderate (59%) and 4 tough (1%). That's a fairly typical mix for this exam. By subject: Mathematics 48% easy, 50% moderate, 3% tough; General Ability 33% easy, 66% moderate, 1% tough.

General Ability questions were entirely from General Studies (51), English (50), and General Science (49). Mathematics questions were spread across 29 chapters, with Probability (16), Application of Derivatives (6), and Quadratic Equation (6) carrying the most weight.

General Ability

  1. 1Read the following passage carefully and answer the items that follow the passage. Your answers to these items should be based solely on the2025 (Phase 2)Comprehension Ability
  2. 2Read the following passage carefully and answer the items that follow the passage. Your answers to these items should be based solely on the2025 (Phase 2)Comprehension Ability
  3. 3Read the following passage carefully and answer the items that follow the passage. Your answers to these items should be based solely on the2025 (Phase 2)Comprehension Ability
  4. 4Read the following passage carefully and answer the items that follow the passage. Your answers to these items should be based solely on the2025 (Phase 2)Comprehension Ability
  5. 5Read the following passage carefully and answer the items that follow the passage. Your answers to these items should be based solely on the2025 (Phase 2)Comprehension Ability
  6. 6The following items have a sentence in direct or indirect speech, followed by four options. One of the options correctly converts the direct2025 (Phase 2)Miscellaneous English
  7. 7The following items have a sentence in direct or indirect speech, followed by four options. One of the options correctly converts the direct2025 (Phase 2)Sentence Improvement
  8. 8The following items have a sentence in direct or indirect speech, followed by four options. One of the options correctly converts the direct2025 (Phase 2)Miscellaneous English
  9. 9Following items have sentences in active voice with four options. One of the options converts the active voice into passive voice correctly.2025 (Phase 2)Sentence Improvement
  10. 10Following items have sentences in active voice with four options. One of the options converts the active voice into passive voice correctly.2025 (Phase 2)Sentence Improvement
  11. 11In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of 2025 (Phase 2)Antonyms
  12. 12In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of 2025 (Phase 2)Synonyms
  13. 13In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of 2025 (Phase 2)Miscellaneous English
  14. 14In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of 2025 (Phase 2)Synonyms
  15. 15In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of 2025 (Phase 2)Synonyms
  16. 16In the following items a sentence or a phrase is given with a word that is underlined, followed by four words or group of words. Select the 2025 (Phase 2)Synonyms
  17. 17In the following items a sentence or a phrase is given with a word that is underlined, followed by four words or group of words. Select the 2025 (Phase 2)Synonyms
  18. 18In the following items a sentence or a phrase is given with a word that is underlined, followed by four words or group of words. Select the 2025 (Phase 2)Synonyms
  19. 19In the following items a sentence or a phrase is given with a word that is underlined, followed by four words or group of words. Select the 2025 (Phase 2)Synonyms
  20. 20In the following items a sentence or a phrase is given with a word that is underlined, followed by four words or group of words. Select the 2025 (Phase 2)Synonyms
  21. 21In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2025 (Phase 2)Jumbled Sentences & Paragraphs
  22. 22In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2025 (Phase 2)Jumbled Sentences & Paragraphs
  23. 23In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2025 (Phase 2)Jumbled Sentences & Paragraphs
  24. 24In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2025 (Phase 2)Jumbled Sentences & Paragraphs
  25. 25In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2025 (Phase 2)Jumbled Sentences & Paragraphs
  26. 26Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  27. 27Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  28. 28Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  29. 29Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  30. 30Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  31. 31Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  32. 32Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  33. 33Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Sentence Completion
  34. 34Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  35. 35Given below are sentences that use discourse markers/expressions to make them complete. Identify the most appropriate discourse marker and m2025 (Phase 2)Fillers
  36. 36Given below are words/expressions/jargons followed by four options. Identify the most appropriate option that defines the word/expression/ja2025 (Phase 2)Synonyms
  37. 37Given below are words/expressions/jargons followed by four options. Identify the most appropriate option that defines the word/expression/ja2025 (Phase 2)Miscellaneous English
  38. 38Given below are words/expressions/jargons followed by four options. Identify the most appropriate option that defines the word/expression/ja2025 (Phase 2)Synonyms
  39. 39Given below are words/expressions/jargons followed by four options. Identify the most appropriate option that defines the word/expression/ja2025 (Phase 2)Synonyms
  40. 40Given below are words/expressions/jargons followed by four options. Identify the most appropriate option that defines the word/expression/ja2025 (Phase 2)Synonyms
  41. 41Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled as 2025 (Phase 2)Jumbled Sentences & Paragraphs
  42. 42Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled as 2025 (Phase 2)Jumbled Sentences & Paragraphs
  43. 43Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled as 2025 (Phase 2)Jumbled Sentences & Paragraphs
  44. 44Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled as 2025 (Phase 2)Jumbled Sentences & Paragraphs
  45. 45Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled as 2025 (Phase 2)Jumbled Sentences & Paragraphs
  46. 46Each of the following sentences in this section has a blank space, followed by four options. Select the most appropriate option to fill in t2025 (Phase 2)Fillers
  47. 47Each of the following sentences in this section has a blank space, followed by four options. Select the most appropriate option to fill in t2025 (Phase 2)Sentence Completion
  48. 48Each of the following sentences in this section has a blank space, followed by four options. Select the most appropriate option to fill in t2025 (Phase 2)Fillers
  49. 49Each of the following sentences in this section has a blank space, followed by four options. Select the most appropriate option to fill in t2025 (Phase 2)Fillers
  50. 50Each of the following sentences in this section has a blank space, followed by four options. Select the most appropriate option to fill in t2025 (Phase 2)Sentence Completion
  51. 51The focal length of a concave lens is 0·5 m. The power of the lens is2025 (Phase 2)Physics
  52. 52The rule to determine the direction of a force experienced by a straight current carrying conductor placed in a magnetic field which is perp2025 (Phase 2)Physics
  53. 53One parsec in astronomical units (A.U.) is about2025 (Phase 2)Physics
  54. 54Which one of the following statements for second law of motion is NOT correct?2025 (Phase 2)Physics
  55. 55The temperature of a body increases from 310 K to 340 K. The temperature increase in degree Celsius is2025 (Phase 2)Physics
  56. 56Which one of the following statements for the work done by gravity on a body is NOT correct?2025 (Phase 2)Physics
  57. 57Which one among the following statements is correct?2025 (Phase 2)Physics
  58. 58Which one of the following wavelength radiations may correspond to an X-ray?2025 (Phase 2)Physics
  59. 59In a Telescope, compared to the eyepiece lens the objective lens has2025 (Phase 2)Physics
  60. 60The energy, , of a photon can be expressed as where is the frequency and is Planck's constant. The dimensions of are the same as that of2025 (Phase 2)Physics
  61. 61The work done by the force acting on an object is zero if the displacement of the object2025 (Phase 2)Physics
  62. 62The magnetic field inside a current carrying very long solenoid is2025 (Phase 2)Physics
  63. 63Which one of the following instruments can be used to measure −250°C temperature?2025 (Phase 2)Physics
  64. 64The quantity of heat needed to change unit mass of a substance from liquid to vapour without changing the temperature, is called2025 (Phase 2)Physics
  65. 65The temperature at which "vapour pressure of the liquid in an open vessel becomes equal to the atmospheric pressure" is called2025 (Phase 2)Physics
  66. 66Which one of the following statements about surface tension is correct?2025 (Phase 2)Physics
  67. 67A body sinks in water when2025 (Phase 2)Physics
  68. 68Why a fielder in the ground gradually pulls his hands backward while catching a fast moving cricket ball?2025 (Phase 2)Physics
  69. 69Bottom of a tank containing water appears to be raised. It is due to2025 (Phase 2)Physics
  70. 70SONAR stands for2025 (Phase 2)Physics
  71. 71Which one of the following radiations has longer wavelength?2025 (Phase 2)Physics
  72. 72For a material under static conditions, which one among the following statements is correct?2025 (Phase 2)Physics
  73. 73A person can see nearby objects clearly but cannot see distant object distinctly, the person is suffering with2025 (Phase 2)Physics
  74. 74The energy is always conserved for a system which is2025 (Phase 2)Physics
  75. 75Suppose, a ball of mass M is thrown upwards from a point A and it reaches up to the highest point B and returns back to point A, which one a2025 (Phase 2)Physics
  76. 76Who among the following presided over the first session of All India Kisan Sabha in Lucknow in April 1936?2025 (Phase 2)History
  77. 77Who among the following founded the 'Self-Respect Movement'?2025 (Phase 2)History
  78. 78Chola inscriptions mention several categories of lands. Which one of the following was meant for the maintenance of school?2025 (Phase 2)History
  79. 79Which of the following statements about the Home Rule League are correct? 1. Lokamanya Tilak set up the Home Rule League at the Bombay Provi2025 (Phase 2)History
  80. 80Which one of the following statements about Ishwar Chandra Vidyasagar is NOT correct?2025 (Phase 2)History
  81. 81Match List I with List II and select the answer using the code given below the Lists: List I (Reformer) List II (Social Work/Text) A. Vishnu2025 (Phase 2)History
  82. 82In the Harappan Civilization, traces of canals have been found at2025 (Phase 2)History
  83. 83Arrange the following foreign travellers to India in chronological order, beginning with the earliest: 1. Peter Mundy 2. Antonio Monserrate 2025 (Phase 2)History
  84. 84With which of the following was the Bretton Woods System NOT associated2025 (Phase 2)History
  85. 85Senguttuvan is the name of2025 (Phase 2)History
  86. 86The Ramacharita , an example of dvyasrya-kavya , telling two stories simultaneously, was written by2025 (Phase 2)History
  87. 87Which of the following Acts established the Board of Control to guide and control the work of the Court of Directors and the Government of I2025 (Phase 2)History
  88. 88Who among the following Sikh Gurus laid the foundation of the Khalsa Panth?2025 (Phase 2)History
  89. 89Which one among the following plans is also known as Mahalanobis Plan?2025 (Phase 2)Economy
  90. 90Which of the following were the years of Annual Plans?2025 (Phase 2)Economy
  91. 91Consider the following statements about BRICS Summits: 1. The first BRICS Summit was held in Brazil 2. BRICS Summits were held in New Delhi 2025 (Phase 2)Polity
  92. 92Placing the earliest first, arrange the following international events in the chronological order: 1. Introduction of www (World Wide Web) 22025 (Phase 2)Polity
  93. 93Which of the following rights under the Constitution of India is/are Fundamental Right(s)? 1. Right to work 2. Right to privacy 3. Right to 2025 (Phase 2)Polity
  94. 94Consider the following statements with regard to flags of International Organizations: 1. The flag of EU has a circle of gold stars on a whi2025 (Phase 2)Polity
  95. 95Which one of the following committees is NOT associated with decentralization of Panchayati Raj institutions in India?2025 (Phase 2)Polity
  96. 96The reaction that occurs on passing carbon dioxide gas through lime water is2025 (Phase 2)Chemistry
  97. 97Which one of the following statements is NOT correct?2025 (Phase 2)Chemistry
  98. 98Which one of the following type of medicines is used for treating indigestion?2025 (Phase 2)Chemistry
  99. 99Which one of the following is NOT present in cement?2025 (Phase 2)Chemistry
  100. 100Which one of the following is NOT a chemical change?2025 (Phase 2)Chemistry
  101. 101Which one of the following statements is NOT correct?2025 (Phase 2)Chemistry
  102. 102Which one of the following is NOT a heterogeneous mixture?2025 (Phase 2)Chemistry
  103. 103Match List I with List II and select the answer using the code given below the Lists: List I (Element) List II (Atomicity) A. Phosphorus 1. 2025 (Phase 2)Chemistry
  104. 104In the following redox reaction, which compound is acting as a reducing agent?2025 (Phase 2)Chemistry
  105. 105Which one of the following is considered to be the purest source of water?2025 (Phase 2)Chemistry
  106. 106Which one of the following salts is responsible for temporary hardness of water?2025 (Phase 2)Chemistry
  107. 107Match List I with List II and select the answer using the code given below the Lists: List I (Reaction) List II (Type) A. 1. Single displace2025 (Phase 2)Chemistry
  108. 108Which one of the following is an endothermic reaction?2025 (Phase 2)Chemistry
  109. 109Which one of the following is known as 'water gas'?2025 (Phase 2)Chemistry
  110. 110Which one of the following statements is NOT correct?2025 (Phase 2)Chemistry
  111. 111Arrange the following zones in ascending order in terms of their latitudinal extent on the Earth surface: 1. Equatorial zone 2. Midlatitude 2025 (Phase 2)Geography
  112. 112Consider the following statements with reference to Feldspar mineral: 1. Half of the earth's crust is composed of feldspar 2. It has light c2025 (Phase 2)Geography
  113. 113Consider the following pairs with reference to sedimentary rocks and the process of their formation: 1. Chert — Chemically formed 2. Geyseri2025 (Phase 2)Geography
  114. 114Which of the following statements is/are correct? 1. Oceanic trenches are very significant in the study of plate movements 2. Oceanic trench2025 (Phase 2)Geography
  115. 115Which of the following statements with reference to shadow zones in an event of an earthquake is/are correct? 1. Zone between 105° and 145° 2025 (Phase 2)Geography
  116. 116Which one among the following volcanic island chains is NOT associated with mid-oceanic ridge?2025 (Phase 2)Geography
  117. 117Consider the following statements with reference to sea waves: 1. The height of waves is determined by wind speed, wind duration, and fetch 2025 (Phase 2)Geography
  118. 118Which of the following statements with reference to soil forming processes is/are correct? 1. Translocation, enrichment, removal and transfo2025 (Phase 2)Geography
  119. 119Consider the following statements with reference to structure of the Earth's atmosphere: 1. Thickness of the troposphere is greatest at the 2025 (Phase 2)Geography
  120. 120Which of the following are the factors that cause variation in the amount of insolation on the Earth? 1. Rotation of the earth on its axis 22025 (Phase 2)Geography
  121. 121Consider the following conditions favourable for the formation and intensification of Tropical Storms: 1. Presence of the Coriolis force 2. 2025 (Phase 2)Geography
  122. 122Which of the following factors influence the ocean currents? 1. Coriolis force 2. Gravity 3. Heating by solar energy 4. Wind Select the answ2025 (Phase 2)Geography
  123. 123Which of the following is/are warm ocean current(s)? 1. Alaska Current 2. Agulhas Current 3. Falkland Current 4. West Australian Current Sel2025 (Phase 2)Geography
  124. 124State of Assam shares borders with how many other countries and Indian states respectively?2025 (Phase 2)Geography
  125. 125Which one of the following is the northernmost river basin of the Deccan Plateau?2025 (Phase 2)Geography
  126. 126Laterite soil in India is rich in which of the following? 1. Calcium 2. Nitrogen 3. Phosphate 4. Potash Select the answer using the code giv2025 (Phase 2)Geography
  127. 127Which of the following statements with reference to crops cultivated in India is/are correct? 1. Bajra grows well in sandy and shallow black2025 (Phase 2)Geography
  128. 128Match List I with List II and select the answer using the code given below the Lists: List I (City) List II (Mineral) A. Bewar 1. Manganese 2025 (Phase 2)Geography
  129. 129Which one among the following is NOT a beneficiary state from the Vindhyachal Power Plant of the NTPC?2025 (Phase 2)Geography
  130. 130Consider the following pairs with reference to Thermal Power Plants and their location in respective states in India: I. Panki — Uttar Prade2025 (Phase 2)Geography
  131. 131The book 'The Origin of Species by Means of Natural Selection' was authored by2025 (Phase 2)Biology
  132. 132The headquarters of World Meteorological Organization (WMO) is located at2025 (Phase 2)General Knowledge
  133. 133The optimum pH at which the enzymes pepsin and trypsin of the human alimentary canal works are2025 (Phase 2)Biology
  134. 134The amount of air breathed in and out during a normal respiration by human lungs is referred to as2025 (Phase 2)Biology
  135. 135Which one among the following statements about arteries and veins in humans is NOT correct?2025 (Phase 2)Biology
  136. 136Identify the functions that are controlled by the hind brain of human being2025 (Phase 2)Biology
  137. 137Iodized salt is a vital part of our diet as it is essential for the synthesis of2025 (Phase 2)Biology
  138. 138The menstrual cycle in females is controlled by hormones that are secreted by2025 (Phase 2)Biology
  139. 139Which one of the following blood cells type secrete large number of antibodies during an immune response of the body?2025 (Phase 2)Biology
  140. 140Which of the following organelles have their own DNA and ribosomes?2025 (Phase 2)Biology
  141. 141What is the nickname of the National Men's Hockey Team of Australia?2025 (Phase 2)General Knowledge
  142. 142Which one of the following organisations has completed 150 years of service to the nation in the year 2025?2025 (Phase 2)General Knowledge
  143. 143Which of the following statements about 'Jalvahak' is/are correct? 1. It is a newly commissioned naval ship inducted into Indian Navy 2. It 2025 (Phase 2)General Knowledge
  144. 144How many rural districts does Mahatma Gandhi National Rural Employment Guarantee Act cover as on 2024-25?2025 (Phase 2)General Knowledge
  145. 145Under which one of the following initiatives does the NITI Aayog support interested States to establish a State Institution for Transformati2025 (Phase 2)General Knowledge
  146. 146Which one of the following Indian States account for the maximum deposits of Bauxite and Chromite?2025 (Phase 2)General Knowledge
  147. 147Consider the following statements with regard to National Technology Day: 1. It commemorates the momentous events of 11th May 1998, when Ind2025 (Phase 2)General Knowledge
  148. 148Which of the following were added in India as Ramsar Site in the year 2025? 1. Sakkarakottai Bird Sanctuary 2. Udhwa Lake 3. Rudrasagar Lake2025 (Phase 2)General Knowledge
  149. 149Consider the following statements about Cricket player Virat Kohli: 1. He is the only captain to have scored seven double centuries in Test 2025 (Phase 2)General Knowledge
  150. 150Ethereum, Tether, Solana and Cardano are all forms of2025 (Phase 2)General Knowledge

Mathematics

  1. 1If , 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
  2. 2If and are non-empty subsets of a set, and and represent their complements, then which of the following is/are correct? I. II. Select the an2025 (Phase 2)Questions on Venn Diagram
  3. 3Let and . If , then what is the value of ?2025 (Phase 2)Factorial
  4. 4Let be a natural number. The number of consecutive zeros at the end of the expansion of is exactly 2. How many values of are possible?2025 (Phase 2)Exponent of prime
  5. 5If , and are in AP, then consider the following statements: I. The GM of and is . II. The AM of and is . Which of the statements given above2025 (Phase 2)Arithmetic Progression
  6. 6How many terms of the series amount to a sum equal to ?2025 (Phase 2)Arithmetic Progression
  7. 7How many terms are identical in the two APs up to 110 terms and up to 75 terms?2025 (Phase 2)Arithmetic Progression
  8. 8If , then what is the value of ?2025 (Phase 2)Cube Root of Unity
  9. 9What is the remainder when is divided by ?2025 (Phase 2)Remainder and Divisibility Problems
  10. 10What is the value of the determinant of the inverse of the matrix ?2025 (Phase 2)Inverse of a Matrix
  11. 11In a class of 45 students, 34 like to play cricket and 26 like to play football. Further, each student likes to play at least one of the two2025 (Phase 2)Questions on Venn Diagram
  12. 12The system of equations ,2025 (Phase 2)System of Linear Equations
  13. 13If , where , then what is the smallest positive value of ?2025 (Phase 2)Algebra of complex numbers
  14. 14In obtaining the solution of the system of equations , and by Cramer's rule, the value of is obtained by dividing by , where . What is the v2025 (Phase 2)System of Linear Equations
  15. 15Consider the following in respect of non-singular matrices and : I. II. , where is the identity matrix III. How many of the above are correc2025 (Phase 2)Inverse of a Matrix
  16. 16The value of the determinant is equal to2025 (Phase 2)Expansion of Determinants
  17. 17Let , , be three cube roots of unity. If , , , then what is equal to?2025 (Phase 2)Cube Root of Unity
  18. 18How many 4-digit numbers that are divisible by 4 can be formed using the digits 1, 2, 3 and 4 (repetition of digits is not allowed)?2025 (Phase 2)Permutation
  19. 19If , , are the sides of a triangle and is the perimeter of the triangle, then what is equal to?2025 (Phase 2)Expansion of Determinants
  20. 20Which one of the following is the greatest coefficient in the expansion of ?2025 (Phase 2)Terms of Binomial Expansion
  21. 21For the following two (02) items: Let and be the roots of the quadratic equation , where and . Further, . What is equal to?2025 (Phase 2)Relation between Roots and Coefficients
  22. 22For the following two (02) items: Let and be the roots of the quadratic equation , where and . Further, . What is the relation between and ?2025 (Phase 2)Relation between Roots and Coefficients
  23. 23For the following two (02) items: Let and . If , then which one of the following is correct?2025 (Phase 2)Logarithm
  24. 24For the following two (02) items: Let and . If , then what is equal to?2025 (Phase 2)Logarithm
  25. 25For the following two (02) items: Let and . What is equal to?2025 (Phase 2)Transformation Formulas
  26. 26For the following two (02) items: Let and . What is equal to?2025 (Phase 2)Transformation Formulas
  27. 27For the following two (02) items: Let and . What is equal to?2025 (Phase 2)Sum and Difference & Multiple angle Formula
  28. 28For the following two (02) items: Let and . What is equal to?2025 (Phase 2)Basic Identities & T Ratios
  29. 29For the following two (02) items: Let and , where (x + y)$ have?2025 (Phase 2)Basic
  30. 30For the following two (02) items: Let and , where (y - x)$ have?2025 (Phase 2)Basic
  31. 31For the following two (02) items: Consider the equation . If the roots of the equation are equal, then which one of the following is correct2025 (Phase 2)Relation between Roots and Coefficients
  32. 32For the following two (02) items: Consider the equation . If the roots of the equation are equal, then , , are in2025 (Phase 2)Relation between Roots and Coefficients
  33. 33For the following two (02) items: Let , where m n$?2025 (Phase 2)Arithmetic Progression
  34. 34For the following two (02) items: Let , where m$ are possible?2025 (Phase 2)Arithmetic Progression
  35. 35For the following two (02) items: There are 8 points on a plane out of which 4 points are collinear. How many triangles can be formed by joi2025 (Phase 2)Combination
  36. 36For the following two (02) items: There are 8 points on a plane out of which 4 points are collinear. How many quadrilaterals can be formed b2025 (Phase 2)Combination
  37. 37For the following two (02) items: Let be a quadratic polynomial such that . Further, 2 is a root of . What is the other root of ?2025 (Phase 2)Relation between Roots and Coefficients
  38. 38For the following two (02) items: Let be a quadratic polynomial such that . Further, 2 is a root of . What is equal to?2025 (Phase 2)Relation between Roots and Coefficients
  39. 39For the following two (02) items: Let . What is the value of the determinant of the matrix ?2025 (Phase 2)Product of Matrices
  40. 40For the following two (02) items: Let . What is equal to?2025 (Phase 2)Adjoint and its Properties
  41. 41What is the sum of the binary numbers and ?2025 (Phase 2)Inequalities
  42. 42Set contains elements and set contains elements, and they have elements in common. How many elements does have?2025 (Phase 2)Questions on number of relations and sets
  43. 43Let and . How many elements does the subset of corresponding to the relation have, where and ?2025 (Phase 2)Questions on number of relations and sets
  44. 44Consider the following statements: Statement-I: If is an matrix, then , where is a scalar. Statement-II: If is a matrix obtained from by mul2025 (Phase 2)Expansion of Determinants
  45. 45Consider the following statements about the matrix : Statement-I: The inverse of does not exist. Statement-II: is non-singular. Which one of2025 (Phase 2)Inverse of a Matrix
  46. 46What is equal to?2025 (Phase 2)Sum and difference of angles
  47. 47How many values of , where , satisfy both the equations and simultaneously?2025 (Phase 2)Solving Trigonometric Equation
  48. 48If , then what is equal to?2025 (Phase 2)Polar and Euler Form
  49. 49If , then what is the number of values of satisfying the equation ?2025 (Phase 2)Solving Trigonometric Equation
  50. 50What is the value of ?2025 (Phase 2)Principal Value and Basics
  51. 51For the following two (02) items: A plane is parallel to the line having direction ratios and contains the line of intersection of the plane2025 (Phase 2)Plane in Space
  52. 52For the following two (02) items: A plane is parallel to the line having direction ratios and contains the line of intersection of the plane2025 (Phase 2)Plane in Space
  53. 53For the following two (02) items: Suppose is the sphere with the smallest radius that passes through the points , and . What is the radius o2025 (Phase 2)Sphere
  54. 54For the following two (02) items: Suppose is the sphere with the smallest radius that passes through the points , and . On which one of the 2025 (Phase 2)Basics of point in 3 dimension
  55. 55For the following two (02) items: Let , and are three consecutive vertices of a parallelogram . What is the fourth vertex ?2025 (Phase 2)Basics of point in 3 dimension
  56. 56For the following two (02) items: Let , and are three consecutive vertices of a parallelogram . If angle is , then what is equal to?2025 (Phase 2)Product of 2 vectors
  57. 57For different values of , the equation represents2025 (Phase 2)Concurrency & Family of Lines
  58. 58The equation of the locus of a point equidistant from the points and is . What is the value of ?2025 (Phase 2)Locus
  59. 59Consider the following statements in respect of the equation : I. The equation represents the equation to parabola that opens upwards. II. T2025 (Phase 2)standard equation of parabola
  60. 60What is the sum of the intercepts of the line on the coordinate axes?2025 (Phase 2)Basic Forms of Straight Line
  61. 61Which one of the following is the perpendicular form of the straight line ?2025 (Phase 2)Basic Forms of Straight Line
  62. 62If the vertices and of a square are and respectively, then what is the area of the square?2025 (Phase 2)Coordinate System
  63. 63What is the value of if is the acute angle between the lines whose equations are and ?2025 (Phase 2)Angle between Lines
  64. 64The circle touches the -axis at and -axis at . What is equal to?2025 (Phase 2)Equation of Circle & its intercept
  65. 65What is the distance between the foci of the hyperbola ?2025 (Phase 2)Equation of hyperbola
  66. 66Let , . If and , then what is the value of ?2025 (Phase 2)Algebra of Vectors
  67. 67How many of the following can be a vector perpendicular to both the vectors and ? I. II. III. Select the correct answer.2025 (Phase 2)Product of 2 vectors
  68. 68What is the area of the parallelogram whose sides are represented by the vectors and ?2025 (Phase 2)Product of 2 vectors
  69. 69The position vectors of the vertices , , and of a quadrilateral are given by , , and respectively. What is the angle between the diagonals a2025 (Phase 2)Algebra of Vectors
  70. 70A force is applied at the point . If its moment about the point is , then what is the value of ?2025 (Phase 2)Product of 2 vectors
  71. 71For the following two (02) items: Let What is equal to?2025 (Phase 2)Trigonometric and Inverse Trigonometric limits
  72. 72For the following two (02) items: Let What is equal to?2025 (Phase 2)Algebraic and Rational Limits
  73. 73For the following three (03) items: Consider the function . What is equal to?2025 (Phase 2)Algebraic and Rational Limits
  74. 74For the following three (03) items: Consider the function . What is the area bounded by the curve , the -axis and the lines and ?2025 (Phase 2)Area of Curve along axis
  75. 75For the following three (03) items: Consider the function . Consider the following statements: I. The function is increasing in the interval2025 (Phase 2)Monotonicity
  76. 76For the following two (02) items: Consider the function ( , ). What is equal to?2025 (Phase 2)Composite Function
  77. 77For the following two (02) items: Consider the function ( , ). What is equal to?2025 (Phase 2)Composite Function
  78. 78For the following three (03) items: Let . What is the slope of the tangent to the curve at ?2025 (Phase 2)Tangent Normal
  79. 79For the following three (03) items: Let . What is at equal to?2025 (Phase 2)Differentiation of composite functions
  80. 80For the following three (03) items: Let . If , then what is equal to?2025 (Phase 2)Parametric differentiation
  81. 81For the following two (02) items: Consider the function . What is the domain of the function?2025 (Phase 2)Domain
  82. 82For the following two (02) items: Consider the function . The function has2025 (Phase 2)Maxima Minima
  83. 83For the following two (02) items: Consider the function k$?2025 (Phase 2)Continuity
  84. 84For the following two (02) items: Consider the function f'(-1)$ equal to?2025 (Phase 2)Differentiation of composite functions
  85. 85For the following two (02) items: Let and . What is equal to?2025 (Phase 2)Integration by Parts
  86. 86For the following two (02) items: Let and . Consider the following: I. II. Which of the above is/are correct?2025 (Phase 2)Integration by Parts
  87. 87For the following two (02) items: Let the function be defined on the interval . What is at equal to?2025 (Phase 2)Differentiability
  88. 88For the following two (02) items: Let the function be defined on the interval . Consider the following statements: I. The function is differ2025 (Phase 2)Differentiability
  89. 89For the following two (02) items: Consider the function . What is equal to?2025 (Phase 2)Composite Function
  90. 90For the following two (02) items: Consider the function . What is the inverse of the function?2025 (Phase 2)Inverse of a Function
  91. 91What is the degree of the differential equation ?2025 (Phase 2)Order and Degree
  92. 92What is , where is the greatest integer function and is a natural number?2025 (Phase 2)Properties of Definite Integration
  93. 93Consider the following statements: I. is the solution of . II. is the solution of . Which of the statements given above is/are correct?2025 (Phase 2)Variable Separable Form
  94. 94If is an arbitrary constant, then what is the general solution of the equation ?2025 (Phase 2)Variable Separable Form
  95. 95What is equal to?2025 (Phase 2)Integration by Substitution
  96. 96A wire of length 20 cm is to be bent into a rectangle. Which of the following statements is/are correct? I. The rectangle of the largest are2025 (Phase 2)Maxima Minima
  97. 97If and , then which one of the following is correct?2025 (Phase 2)Definite Integration by Substitution
  98. 98What is the area of the region bounded by and , where is a positive real number?2025 (Phase 2)Area of Curve along axis
  99. 99Consider the following statements regarding the function : Statement-I: is decreasing on the intervals . Statement-II: for all . Which one o2025 (Phase 2)Monotonicity
  100. 100Consider the following statements: Statement-I: The function has a minimum value 48 at . Statement-II: As increases through 4, changes sign 2025 (Phase 2)Maxima Minima
  101. 101What is the harmonic mean of the numbers , , , and ?2025 (Phase 2)Means
  102. 102In a sample survey of a village, the probability that a farmer is in debt is . What is the probability that three randomly selected farmers 2025 (Phase 2)Independent Events
  103. 103The probability that a family owns a laptop is ; that it also owns a desktop is . If the probability that it owns both is , then what is the2025 (Phase 2)Addition and Subtraction Theorems
  104. 104An urn contains 10 white and 5 red balls. If two balls are drawn at random, then what is the probability that both the balls are red?2025 (Phase 2)Classical Definition of Probability
  105. 105An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is the probability that a white ball, a red ball and 2025 (Phase 2)Classical Definition of Probability
  106. 106Under which of the following conditions may binomial distribution be used? I. The number of trials is infinite and not fixed. II. The trials2025 (Phase 2)Bernoulli Trial and Binomial Distribution
  107. 107A person speaks the truth 4 out of 5 times and person speaks the truth 5 out of 6 times. What is the probability that they will contradict e2025 (Phase 2)Independent Events
  108. 108The probability that a student passes Physics test is and the probability that he passes both Physics test and English test is . The probabi2025 (Phase 2)Addition and Subtraction Theorems
  109. 109An event can happen with probability and event can happen with probability . Further, and are independent events. Which of the following sta2025 (Phase 2)Independent Events
  110. 110Three faces of a die are black, two faces are white and one face is red. The die is tossed three times. What is the probability that the col2025 (Phase 2)Classical Definition of Probability
  111. 111A fair coin is tossed 4 times. What is the probability that two heads do not occur consecutively?2025 (Phase 2)Classical Definition of Probability
  112. 112In a throw of three dice, what is the probability of getting one prime number, one composite number and one number which is neither prime no2025 (Phase 2)Classical Definition of Probability
  113. 113An integer is chosen at random from the first 50 integers. What is the probability that the integer is neither divisible by 5 nor 9?2025 (Phase 2)Classical Definition of Probability
  114. 114Out of 50 consecutive natural numbers, two integers are chosen at random. What is the probability that their sum is odd?2025 (Phase 2)Classical Definition of Probability
  115. 115The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard deviation?2025 (Phase 2)Measures of Dispersion
  116. 116Let be a random variable following binomial distribution with parameters and . Further, and . What is the value of ?2025 (Phase 2)Bernoulli Trial and Binomial Distribution
  117. 117The frequency distribution of the marks obtained by students in a Science examination is given below: Marks 5–15 15–25 25–35 35–45 Number of2025 (Phase 2)Mean
  118. 118If , and , then what is the value of ?2025 (Phase 2)Conditional Probability and Multiplication Theorem
  119. 119If , and , then what is the value of ?2025 (Phase 2)Addition and Subtraction Theorems
  120. 120Consider the following statements: I. Mean and variance have the same unit of measurement. II. Mean deviation and standard deviation have th2025 (Phase 2)Mean

Frequently Asked Questions

1.How many questions are in the NDA 2025 Phase 2 paper?

This paper has 270 questions in total - 150 from General Ability and 120 from Mathematics.

2.Can I practise questions from just one subject?

Yes. Use the General Ability and Mathematics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.Where can I find the Phase 1 paper for the same year?

The NDA 2025 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2025.

4.How is the NDA 2025 Phase 2 paper structured?

The NDA 2025 Phase 2 paper on MARKS has 270 questions, organised by subject:

  • General Ability: 150 questions - 150 single-correct.
  • Mathematics: 120 questions - 120 single-correct.
5.How difficult is the NDA 2025 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 107 (40%) are easy, 159 (59%) are medium and 4 (1%) are hard. Subject wise:

  • General Ability: 50 easy, 99 medium, 1 hard
  • Mathematics: 57 easy, 60 medium, 3 hard
6.Which chapters were asked the most in the NDA 2025 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (51), English (50), and General Science (49).
  • Mathematics: Probability (16), Application of Derivatives (6), and Quadratic Equation (6).
7.Where can I find the solutions for the NDA 2025 Phase 2 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

8.How should I use the NDA 2025 Phase 2 paper to check my preparation?

Set a timer, attempt the 270 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for NDA. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the NDA 2025 Phase 2 paper help me prepare for NDA 2027?

Yes. Every past paper shows the question styles and topics NDA has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.