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NDA 2019 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2019 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 - 149 easy (55%), 119 moderate (44%) and 2 tough (1%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Mathematics 23% easy, 75% moderate, 2% tough; General Ability 81% easy, 19% moderate, 0% tough.

General Ability questions were entirely from General Studies (52), General Science (50), and English (48). Mathematics questions were spread across 30 chapters, with Trigonometric Ratios & Identities (13), Quadratic Equation (10), and Sequences and Series (9) carrying the most weight.

General Ability

  1. 1Each of the following items in this section consists of a sentence, the parts of which have been jumbled. There parts have been labelled P, 2019 (Phase 2)Jumbled Sentences & Paragraphs
  2. 2Each of the following items in this section consists of a sentence, the parts of which have been jumbled. There parts have been labelled P, 2019 (Phase 2)Jumbled Sentences & Paragraphs
  3. 3Each of the following items in this section consists of a sentence, the parts of which have been jumbled. There parts have been labelled P, 2019 (Phase 2)Jumbled Sentences & Paragraphs
  4. 4Each of the following items in this section consists of a sentence, the parts of which have been jumbled. There parts have been labelled P, 2019 (Phase 2)Jumbled Sentences & Paragraphs
  5. 5Each of the following items in this section consists of a sentence, the parts of which have been jumbled. There parts have been labelled P, 2019 (Phase 2)Jumbled Sentences & Paragraphs
  6. 6Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in d2019 (Phase 2)Comprehension Ability
  7. 7Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in d2019 (Phase 2)Comprehension Ability
  8. 8Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in d2019 (Phase 2)Comprehension Ability
  9. 9Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in d2019 (Phase 2)Comprehension Ability
  10. 10Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in d2019 (Phase 2)Comprehension Ability
  11. 11Select the option that is nearest in meaning to the underlined word He is always anxious .2019 (Phase 2)Synonyms
  12. 12Select the option that is nearest in meaning to the underlined word The poems of Kabir are ecstatic in nature.2019 (Phase 2)Synonyms
  13. 13Select the option that is nearest in meaning to the underlined word Ravi loves seclusion . Therefore, he lives in the mountains.2019 (Phase 2)Synonyms
  14. 14Select the option that is nearest in meaning to the underlined word Hitler was a despot .2019 (Phase 2)Synonyms
  15. 15Select the option that is nearest in meaning to the underlined word The imagery used in the poem is vivid .2019 (Phase 2)Synonyms
  16. 16Select the option that is nearest in meaning to the underlined word A human being is a always vulnerable to other human beings.2019 (Phase 2)Synonyms
  17. 17Select the option that is nearest in meaning to the underlined word His language is political and vitriolic .2019 (Phase 2)Synonyms
  18. 18Select the option that is nearest in meaning to the underlined word The Managing Director of the company declared that he is broke and there2019 (Phase 2)Synonyms
  19. 19Select the option that is nearest in meaning to the underlined word He loves doing nasty things.2019 (Phase 2)Synonyms
  20. 20Select the option that is nearest in meaning to the underlined word He could not muster courage to speak the truth before his friend.2019 (Phase 2)Synonyms
  21. 21Select the word you consider most appropriate to fill in the blank space. the election Commission on Saturday ........that the Assembly elec2019 (Phase 2)Spotting The Errors
  22. 22Select the word you consider most appropriate to fill in the blank space. The victims were fruit vendors and they were going in an auto when2019 (Phase 2)Sentence Completion
  23. 23Select the word you consider most appropriate to fill in the blank space. Scores of villagers are ......, a sit-in protest against the const2019 (Phase 2)Fillers
  24. 24Select the word you consider most appropriate to fill in the blank space. It is common for patients to stop ........ medicine as soon as the2019 (Phase 2)Fillers
  25. 25Select the word you consider most appropriate to fill in the blank space. A four-year-old girl got a new lease of life after doctors at a ho2019 (Phase 2)Fillers
  26. 26You are provided a sentence in 3 parts. Find out whether there is any error in any part and indicate your response in the Answer Sheet again2019 (Phase 2)Spotting The Errors
  27. 27You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  28. 28You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  29. 29You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  30. 30You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Geography
  31. 31You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  32. 32You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  33. 33You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  34. 34You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  35. 35You are provided a sentence in 3 parts . Find out whether there is any error in any part and indicate your response in the Answer Sheet agai2019 (Phase 2)Spotting The Errors
  36. 36Be over the hill2019 (Phase 2)Idioms and Phrases
  37. 37Bite your tongue2019 (Phase 2)Idioms and Phrases
  38. 38Turn a blind eye2019 (Phase 2)Idioms and Phrases
  39. 39Yellow journalism.2019 (Phase 2)General Knowledge
  40. 40To be in seventh heaven2019 (Phase 2)Idioms and Phrases
  41. 41Select the option that is opposite in meaning to the underlined word. His conversations are always absurd .2019 (Phase 2)Antonyms
  42. 42Select the option that is opposite in meaning to the underlined word. The politician was a dissident .2019 (Phase 2)Antonyms
  43. 43Select the option that is opposite in meaning to the underlined word. He wrote an incisive article on corruption in politics.2019 (Phase 2)Antonyms
  44. 44Select the option that is opposite in meaning to the underlined word. Rakesh is an eccentric prodigal .2019 (Phase 2)Antonyms
  45. 45Select the option that is opposite in meaning to the underlined word. Friendship is always reciprocal .2019 (Phase 2)Antonyms
  46. 46Select the option that is opposite in meaning to the underlined word. The debate was highly stimulating .2019 (Phase 2)Antonyms
  47. 47Select the option that is opposite in meaning to the underlined word. Malaria is a widespread disease .2019 (Phase 2)Antonyms
  48. 48Select the option that is opposite in meaning to the underlined word. The bill received a vehement resistance from the opposition party in t2019 (Phase 2)Antonyms
  49. 49Select the option that is opposite in meaning to the underlined word. He has been obstinate since his childhood.2019 (Phase 2)Antonyms
  50. 50Select the option that is opposite in meaning to the underlined word. Mahatma Gandhi was one of the most prominent leaders of his times.2019 (Phase 2)Antonyms
  51. 51Which of the following was/were among the decisions taken by the First Continental Congress held in Philadelphia in September 1774 ? 1. It r2019 (Phase 2)History
  52. 52Which one of the following land territories of Indonesia is not touched by the Equator?2019 (Phase 2)Geography
  53. 53Which one of the following sedimentary rocks is organically formed?2019 (Phase 2)Geography
  54. 54According to the Koppen climatic classification, the letter code Cfa denotes2019 (Phase 2)Geography
  55. 55In which one of the following folds is the axial plane found to be virtually horizontal?2019 (Phase 2)Geography
  56. 56How many Ramsar conservation sites have been enlisted from India so far?2019 (Phase 2)General Knowledge
  57. 57The Munda language group belongs to which family?2019 (Phase 2)General Knowledge
  58. 58Which one of the following statements about the Suez Canal is not correct?2019 (Phase 2)History
  59. 59Which among the following statement is not correct about the Reign of Terror?2019 (Phase 2)History
  60. 60Who among the following was the first Indian to qualify for the Indian Civil Service?2019 (Phase 2)History
  61. 61Which among the following was/were among the factors for England to experience the Industrial Revolution first? 1. The scientific inventions2019 (Phase 2)History
  62. 62Article 46 of the Constitutions of India refers to the promotion of educational and economic interests of2019 (Phase 2)Polity
  63. 63Who was the Education Minister in the first Cabinet of independent India?2019 (Phase 2)Polity
  64. 64Who among the following died in exile?2019 (Phase 2)History
  65. 65The normal lapse rate of temperature of Earth's atmosphere drops to at the2019 (Phase 2)Geography
  66. 66The headquarters of National Research Laboratory for Conservation of Cultural Property (NRLC) is located at2019 (Phase 2)General Knowledge
  67. 67Loktak lake is situated in the Stat of2019 (Phase 2)Geography
  68. 68Stalactite, stalagmite and pillars are the depositional landforms of2019 (Phase 2)Geography
  69. 69A deep valley characterized by steep step-like slope is known as2019 (Phase 2)Geography
  70. 70Which one of the following is a major plate?2019 (Phase 2)Geography
  71. 71A thin disc and a thin ring, both have mass M and radius R . Both rotate about axes through their center of mass and are perpendicular to th2019 (Phase 2)Physics
  72. 72Let there be an object having some chemicals in it. It starts moving with a uniform velocity v and a chemical reaction starts happening. In 2019 (Phase 2)Physics
  73. 73In which of the following phenomena do heat waves travel along a straight line with the speed of light?2019 (Phase 2)Physics
  74. 74Which one of the following statements regarding Ohm's law is not correct?2019 (Phase 2)Physics
  75. 75When a ball bounces off the ground, which of the following changes suddenly?2019 (Phase 2)Physics
  76. 76Which one of the following compounds does not exhibit a different oxidation number of the same element?2019 (Phase 2)Chemistry
  77. 77Which one of the following statements about glass is not correct?2019 (Phase 2)Chemistry
  78. 78Which one of the following statements is correct?2019 (Phase 2)Chemistry
  79. 79Which one of the following statements about diamond and graphite is not correct?2019 (Phase 2)Chemistry
  80. 80The raw materials used for the manufacture of Portland cement are2019 (Phase 2)Chemistry
  81. 81Which one of the following statements about water is not true?2019 (Phase 2)Chemistry
  82. 82A sample of 'soft soap' contains2019 (Phase 2)Chemistry
  83. 83If an object moves at a non-zero constant acceleration for a certain interval of time, then the distance it covers in that time2019 (Phase 2)Physics
  84. 84A solid disc and a solid sphere have the same mass and same radius. Which one has the higher moment of inertia about its centre of mass?2019 (Phase 2)Physics
  85. 85Two substances of densities and are mixed in equal. When they are mixed in equal masses, relative density is 3 . The values of and respectiv2019 (Phase 2)Physics
  86. 86Compared to audible sound waves, ultrasound waves have2019 (Phase 2)Physics
  87. 87A rigid body of mass 2 kg is dropped from a stationary balloon kept at a height of 50 m from the ground. The speed of the body when it just 2019 (Phase 2)Physics
  88. 88The temperature of a place on one sunny day is 113 in Fahrenheit scale. The Kelvin scale reading of this temperature will be2019 (Phase 2)Physics
  89. 89Radiations coming from the sun are mostly in the form of2019 (Phase 2)Physics
  90. 90Which of the following are the characteristics of electromagnetic waves? 1. They are elastic waves. 2. They can also move in vacuum. 3. They2019 (Phase 2)Physics
  91. 91Which one of the following is a non-metallic mineral?2019 (Phase 2)General Knowledge
  92. 92Which one of the following is Rabi crop in the Northern States of India/2019 (Phase 2)Geography
  93. 93The rivers of North-West Europe are good examples of2019 (Phase 2)Geography
  94. 94Which one of the following ocean currents is a cold current?2019 (Phase 2)Geography
  95. 95Paradeep Port is located on the delta of river2019 (Phase 2)Geography
  96. 96Which one of the following hypothesis/theory explains the origin of the universe?2019 (Phase 2)History
  97. 97Which among the following struggles, based an Gandhi's philosophy of Satyagraha, involved the industrial working class?2019 (Phase 2)History
  98. 98Consider the following statements related to the Virashaiva tradition in Karnataka : 1. The Virashaiva movement was led by a Brahmana named 2019 (Phase 2)History
  99. 99Consider the following statements related to Wellesley's administration: 1. In the six years of Wellesley's administration, the army account2019 (Phase 2)History
  100. 100Consider the following statements concerning the Russian Revolution : 1. The Bolsheviks believed that in a repressive society like Tsarist R2019 (Phase 2)History
  101. 101A car starts from Bengaluru, goes 50 km in a straight line towards south, immediately turns around and returns to Bengaluru. The time taken 2019 (Phase 2)Physics
  102. 102"The sum of emf's and potential differences around a closed loop equals zero" is a consequence of2019 (Phase 2)Physics
  103. 103A student measures certain lengths using a meter scale having least count equal to 1 mm . Which one of the following measurements is more pr2019 (Phase 2)Physics
  104. 104If the work done on the system or by the system is zero, which one of the following statements for a gas kept at a certain temperature is co2019 (Phase 2)Physics
  105. 105Consider the following part of an electric circuit: The total electrical resistance in the given part of the electric circuit is2019 (Phase 2)Physics
  106. 106Which one of the following statements regarding lenses is not correct?2019 (Phase 2)Physics
  107. 10710 g of ice at is mixed with 10 g of water at . The amount of heat required to raise the temperature of mixture to is2019 (Phase 2)Physics
  108. 108Which one of the following does not represent tha salt, Calcium carbonate?2019 (Phase 2)Chemistry
  109. 109Soaps clean surfaces on the principle based on2019 (Phase 2)Chemistry
  110. 110Which one of the following substances is not a mixture?2019 (Phase 2)Chemistry
  111. 111Which one of the following is termed as 'Dry ice'?2019 (Phase 2)Chemistry
  112. 112Net movement of water from a dilute to a concentrated solution through a selectively permeable membrane is called2019 (Phase 2)Biology
  113. 113Blood is a type of2019 (Phase 2)Biology
  114. 114Mitochondria are able to produce their own2019 (Phase 2)Biology
  115. 115Which one of the following statements is correct?2019 (Phase 2)Biology
  116. 116Who among the following popularized the use of embryological characters in taxonomy?2019 (Phase 2)Biology
  117. 117Lithosphere consists of2019 (Phase 2)Geography
  118. 118The principle component(s) of Nehru-Mahalanobis strategy of economic development was/were 1. Restructuring economic dependency on metropolit2019 (Phase 2)Economy
  119. 119The provisions of the Fifth Schedule of the Constitution of India shall not apply to the administration and control of the Scheduled Areas a2019 (Phase 2)Polity
  120. 120Consider the following statements related to Dayanand's idea of social reform: 1. Dayanand's reform envisaged a social order, where differen2019 (Phase 2)History
  121. 121Consider the following statements concerning the American War of Independence: 1. The Americans raised the slogan, 'No taxation without repr2019 (Phase 2)History
  122. 122The first UDAY (Utkrisht Double Decker Air-Conditioned Yatri) Express train runs between2019 (Phase 2)General Knowledge
  123. 123Who among the following were selected for the Rajiv Gandhi Khel Ratna Award 2019?2019 (Phase 2)General Knowledge
  124. 124Betel leaf of which one of the following States has been accorded a GI taeg recently?2019 (Phase 2)General Knowledge
  125. 125SAMARTH is a flagship skill development scheme of which one of the following Ministries?2019 (Phase 2)General Knowledge
  126. 126CORAS is a separate Commando Unit of MSG CISF RPF CRPF2019 (Phase 2)General Knowledge
  127. 127Which one of the following statements is not true about Ijarah system?2019 (Phase 2)History
  128. 128During the Swadeshi movement, a National College was started in Calcutta under the principalship of2019 (Phase 2)History
  129. 129The ruins of Vijayanagar a (Hampi) were brought to public light in the year 1800 by the following British surveyor and engineer;2019 (Phase 2)History
  130. 130Which country among the following was not a part of the Third Coalition against Napoleon?2019 (Phase 2)History
  131. 131Which one of the following pairs of travellers and their nationality is not correctly matched?2019 (Phase 2)History
  132. 132World Humanitarian Day is celebrated on2019 (Phase 2)General Knowledge
  133. 133Which one of the following is the name given to the lander of Chandrayaan-2?2019 (Phase 2)General Knowledge
  134. 134Along with Pranab Mukherjee, how many more persons were conferred the Bharat Ratna Award in the year 2019?2019 (Phase 2)General Knowledge
  135. 135Aishwarya Pissay excels in which one of the following sports?2019 (Phase 2)General Knowledge
  136. 136Which one of the following films was adjudged as the Best Feature Film in the National Film Awards?2019 (Phase 2)General Knowledge
  137. 137Water is heated with a coil of resistance R connected to domestic supply. The rise of temperature of water will depend on 1. Supply voltage 2019 (Phase 2)Physics
  138. 138A pendulum clock is lifted to a height where the gravitational acceleration has a certain value g. Another pendulum clock of same length but2019 (Phase 2)Physics
  139. 139The loudness of sound depends upon the2019 (Phase 2)Physics
  140. 140Two bodies of mass each are placed distance apart. In another system, two bodies of mass 2 M each are placed 2 distance apart. If F be the g2019 (Phase 2)Physics
  141. 141Light rays move in straight lines. But through an optical fibre, they can move in any type of zigzag path because.2019 (Phase 2)Physics
  142. 142Which one of the following statements regarding cathode rays is not correct?2019 (Phase 2)Physics
  143. 143A very large volume of hydrogen can be accommodated by making2019 (Phase 2)Chemistry
  144. 144Which one of the following is not a monatomic element?2019 (Phase 2)Chemistry
  145. 145Which one of the following represents the correct order of electron releasing tendency of metals?2019 (Phase 2)Chemistry
  146. 146Which one of the following is the major constituent of biogas?2019 (Phase 2)Chemistry
  147. 147Thyroid gland produces a hormone called "Thyroxine" which2019 (Phase 2)Biology
  148. 148Which one the following is a bacterium that causes diseases in the human body?2019 (Phase 2)Biology
  149. 149Which one of the following statements regarding viruses is not true?2019 (Phase 2)Biology
  150. 150Which one of the following diseases may be caused by the deficiency of vitamin C?2019 (Phase 2)Chemistry

Mathematics

  1. 1If both and belong to the set , then how many equations of the form will have real roots?2019 (Phase 2)Relation between Roots and Coefficients
  2. 2What is the value of2019 (Phase 2)Arithmetic Progression
  3. 3If and are subsets of a given set, then which one of the following relations is not correct?2019 (Phase 2)Questions on Venn Diagram
  4. 4If the sum of first terms of a series is , then what is its third term?2019 (Phase 2)Arithmetic Progression
  5. 5What is the value of for which the sum of the squares of the roots of is minimum?2019 (Phase 2)Relation between Roots and Coefficients
  6. 6If the roots of the equation are equal, then which one of the following is correct?2019 (Phase 2)Relation between Roots and Coefficients
  7. 7If , then which one of the following is correct?2019 (Phase 2)Inequalities
  8. 8A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is , and the sum of even terms of the GP is , then wha2019 (Phase 2)Geometric Progression
  9. 9If a set contains 3 elements and another set contains 6 elements, then what is the minimum number of elements that can have?2019 (Phase 2)Questions on Venn Diagram
  10. 10What is the number of diagonals of an octagon?2019 (Phase 2)Combination
  11. 11What is the value of the determinant2019 (Phase 2)Expansion of Determinants
  12. 12What are the values of that satisfy the equation2019 (Phase 2)Expansion of Determinants
  13. 13If , then what is the value of ?2019 (Phase 2)Expansion of Determinants
  14. 14If , then the expression is2019 (Phase 2)Product of Matrices
  15. 15Let and be the roots of the equation . If four terms and are inserted between m and to form an AP , then what is the value of ?2019 (Phase 2)Arithmetic Progression
  16. 16Under which one of the following conditions will the quadratic equation always have real roots?2019 (Phase 2)Relation between Roots and Coefficients
  17. 17What is the value of2019 (Phase 2)De Moivres Theorem
  18. 18If and are the roots of , then what is equal to?2019 (Phase 2)Relation between Roots and Coefficients
  19. 19In a school, students play cricket and play football. If of students play both the games, then what per cent of students play neither cricke2019 (Phase 2)Questions on Venn Diagram
  20. 20If and is a prime number , then what is equal to?2019 (Phase 2)Questions on number of relations and sets
  21. 21If , then what is the value of ?2019 (Phase 2)Algebra of complex numbers
  22. 22What is the value of2019 (Phase 2)Geometric Progression
  23. 23If and , then what is the value of ?2019 (Phase 2)Combination
  24. 24How many terms are there in the expansion of ?2019 (Phase 2)Terms of Binomial Expansion
  25. 25If the middle term in the expansion of , then what is the value of ?2019 (Phase 2)Terms of Binomial Expansion
  26. 26If and , then which one of the following is correct?2019 (Phase 2)Product of Matrices
  27. 27If ! has 17 zeros, then what is the value of ?2019 (Phase 2)Exponent of prime
  28. 28Let , where . What are and equal to?2019 (Phase 2)Inequalities
  29. 29If the constant term in the expansion of is 405 , then what can be the values of ?2019 (Phase 2)Terms of Binomial Expansion
  30. 30What is C equal to?2019 (Phase 2)Combination
  31. 31Let be in AP and be a real number. Which of the following are correct? 1. are in AP 2. are in AP 3. are in AP Select the correct answer usin2019 (Phase 2)Arithmetic Progression
  32. 32How many two-digit numbers are divisible by 4 ?2019 (Phase 2)Divisibility Test
  33. 33Let be the sum of the first terms of an AP. If , then what is the common difference?2019 (Phase 2)Arithmetic Progression
  34. 34If 3rd, 8th and 13th terms of a GP are and respectively, then which one of the following is correct?2019 (Phase 2)Geometric Progression
  35. 35What is the solution of and ?2019 (Phase 2)Inequalities
  36. 36If where , then which one of the following is correct?2019 (Phase 2)Logarithm
  37. 37How many real roots does the equation have?2019 (Phase 2)Graph and Sign of Quadratic
  38. 38Consider the following statements in respect to the quadratic equation where and are real numbers : 1. The roots are real 2. The roots are e2019 (Phase 2)Relation between Roots and Coefficients
  39. 39Let , 20). What is the maximum number of subsets does have?2019 (Phase 2)Questions on number of relations and sets
  40. 40A binary number is represented by , where . What is its decimal equivalent?2019 (Phase 2)Binary to Decimal Conversion
  41. 41If where , then what is the value of ?2019 (Phase 2)Basic Identities & T Ratios
  42. 42Consider the following statements: 1. can never be equal to 1.5 . 2. can never be less than 2 . Which of the above statements is/are correct2019 (Phase 2)Maximum and Minimum Values
  43. 43A ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 2019 (Phase 2)Heights and Distances
  44. 44What is the length of the chord of a unit circle which subtends an angle at the centre?2019 (Phase 2)line and circle
  45. 45What is equal to?2019 (Phase 2)Multiple Angles
  46. 46What is the scalar projection of on ?2019 (Phase 2)Product of 2 vectors
  47. 47If the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which one of the following is correc2019 (Phase 2)Product of 2 vectors
  48. 48Consider the following equations for two vectors and : 1. 2. 3. Which of the above statements are correct?2019 (Phase 2)Algebra of Vectors
  49. 49Consider the following statements: 1. The magnitude of is same as the area of a triangle with sides and 2. If where , then Which of the abov2019 (Phase 2)Product of 2 vectors
  50. 50If and are unit vectors and is the angle between them, then what is equal to?2019 (Phase 2)Algebra of Vectors
  51. 51The equation represents a straight line2019 (Phase 2)Basic Forms of Straight Line
  52. 52What is the angle between the lines and2019 (Phase 2)Angle between Lines
  53. 53What is the distance between the points and ?2019 (Phase 2)Coordinate System
  54. 54An equilateral triangle has one vertex at and another vertex at . The third vertex may lie on2019 (Phase 2)Coordinate System
  55. 55If the angle between the lines joining the end points of minor axis of the ellipse with one of its foci is , then what is the eccentricity o2019 (Phase 2)Equation of Ellipse
  56. 56A point on a line has coordinates where is any real number. What are the direction cosines of the line?2019 (Phase 2)Direction Cosines and Direction Ratios
  57. 57A point on the line has coordinates2019 (Phase 2)Line in Space
  58. 58If the line lies on the plane , then what is the value of ?2019 (Phase 2)Line in Space
  59. 59A straight line passes through the point makes an angle with the positive direction of z -axis, and the cosine of the angles made by it with2019 (Phase 2)Direction Cosines and Direction Ratios
  60. 60If the points and lie on a straight line, then what are the values of and respectively?2019 (Phase 2)Line in Space
  61. 61What is the minimum value of where and ?2019 (Phase 2)Maxima Minima
  62. 62If the angles of a triangles ABC are in AP and , then what is the measure of angle A ?2019 (Phase 2)Sine Rule and its application
  63. 63If and , then what is the value of ?2019 (Phase 2)Basic Identities & T Ratios
  64. 64What is equal to ?2019 (Phase 2)Sum and Difference & Multiple angle Formula
  65. 65If , then what is equal to?2019 (Phase 2)Sum and Difference & Multiple angle Formula
  66. 66What is equal to?2019 (Phase 2)Sum and Difference & Multiple angle Formula
  67. 67If angle of a triangle is a right angle, then what is equal to?2019 (Phase 2)Basic Identities & T Ratios
  68. 68What is equal to?2019 (Phase 2)T-Ratios of Multiple & sub multiple angles
  69. 69What is equal to?2019 (Phase 2)Basic Identities & T Ratios
  70. 70What is equal to?2019 (Phase 2)Sum and Difference & Multiple angle Formula
  71. 71What is the area of the region bounded by and ?2019 (Phase 2)Area of Curve along axis
  72. 72Consider the following statements in respect of the function for and ; 1. exists 2. is continuous at Which of the above statements is/are co2019 (Phase 2)Continuity
  73. 73What is the value of ?2019 (Phase 2)Algebraic and Rational Limits
  74. 74What is the degree of the differential equation ?2019 (Phase 2)Order and Degree
  75. 75Which one of the following is the second degree polynomial function where and ?2019 (Phase 2)Relation between Roots and Coefficients
  76. 76Paragraph: A curve y = where m 0 intersects y-axis at a point P. Question: What is the slope of the curve at the point of intersection ?2019 (Phase 2)Tangent Normal
  77. 77Paragraph: A curve y = where m 0 intersects y-axis at a point P. Question: How much angle does the tangent at make with -axis?2019 (Phase 2)Tangent Normal
  78. 78Paragraph: A curve y = where m 0 intersects y-axis at a point P. Question: What is the equation of tangent to the curve at ?2019 (Phase 2)Tangent Normal
  79. 79Paragraph: Let f(x) = , g(x) = tan x and h(x) = ln x. Question: For , what is the value of ?2019 (Phase 2)Composite Function
  80. 80Paragraph: Let f(x) = , g(x) = tan x and h(x) = ln x. Question: What is (2) equal to?2019 (Phase 2)Composite Function
  81. 81What is equal to?2019 (Phase 2)Integration by Substitution
  82. 82What is equal to ?2019 (Phase 2)Integration by Substitution
  83. 83Which one of the following is the differential equation that represents the family of curves where is an arbitrary constant?2019 (Phase 2)Formation of Differential Equation
  84. 84Paragraph: Consider the equation Question: What is at equal to ?2019 (Phase 2)Differentiation of implicit functions
  85. 85Paragraph: Consider the equation Question: What is at equal to?2019 (Phase 2)Higher order derivatives
  86. 86Paragraph: Consider the function where and Question: What is the period of the function ?2019 (Phase 2)Basic Identities & T Ratios
  87. 87Paragraph: Consider the function where and Question: What is the period of the function ?2019 (Phase 2)Basic Identities & T Ratios
  88. 88Paragraph: Consider the function where and Question: What is the period of the function ?2019 (Phase 2)Basic Identities & T Ratios
  89. 89Paragraph: Consider the function Question: In which one of the following intervals is the function increasing?2019 (Phase 2)Monotonicity
  90. 90Paragraph: Consider the function Question: In which one of the following intervals is the function decreasing?2019 (Phase 2)Monotonicity
  91. 91Paragraph: Let and Question: What are the roots of the equation ?2019 (Phase 2)Relation between Roots and Coefficients
  92. 92Paragraph: Let and Question: Consider the following statements: 1. is a polynomial of degree 3 . 2. is a polynomial of degree 2 . Which of t2019 (Phase 2)Composite Function
  93. 93Paragraph: Let and Question: If , then what is the derivative of ?2019 (Phase 2)Differentiation of composite functions
  94. 94Paragraph: Consider the integrals Question: What is the value of ?2019 (Phase 2)Properties of Definite Integration
  95. 95Paragraph: Consider the integrals Question: What is the value of ?2019 (Phase 2)Properties of Definite Integration
  96. 96The differential equation which represents the family of curves given by is2019 (Phase 2)Formation of Differential Equation
  97. 97What is the derivative of with respect to ?2019 (Phase 2)Differentiation of composite functions
  98. 98For what value of is the function2019 (Phase 2)Continuity
  99. 99What is the area of the region enclosed between the curve and the straight line ?2019 (Phase 2)Area bounded by two curves
  100. 100If increases in the interval T and decreases in the interval S , then which one of the following is correct?2019 (Phase 2)Monotonicity
  101. 101A coin is biased so that heads comes up thrice as likely as tails. For three independent losses of a coin, what is the probability of gettin2019 (Phase 2)Total Probability
  102. 102A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession withou2019 (Phase 2)Classical Definition of Probability
  103. 103The median of the observations , in ascending order is 42 . What are the values of 5 th and 6 th observations respectively?2019 (Phase 2)Median
  104. 104Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000 . What is the standard deviation of the observatio2019 (Phase 2)Measures of Dispersion
  105. 105If and are the roots of the equation , what is the value of ?2019 (Phase 2)Relation between Roots and Coefficients
  106. 106For the variables and , the two regression lines are and . What are the values of and respectively?2019 (Phase 2)Relation Between Mean, Median and Mode
  107. 107The class marks in a frequency table are given to be 5,10 , . The class limits of the first five classes are2019 (Phase 2)Statistics
  108. 108The mean of 5 observations is 4.4 and variance is 8.24 . If three of the five observations are 1,2 and 6, then what are the other two observ2019 (Phase 2)Measures of Dispersion
  109. 109If a coin is tossed till the first head appears, then what will be the sample space?2019 (Phase 2)Classical Definition of Probability
  110. 110Consider the following discrete frequency distribution: What is the value of median of the distribution?2019 (Phase 2)Median
  111. 111Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?2019 (Phase 2)Classical Definition of Probability
  112. 112If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability 2019 (Phase 2)Classical Definition of Probability
  113. 113There are 3 coins in a box. One is a two-headed coin; a fair coin another is; and third is biased coin that comes up heads of time. When one2019 (Phase 2)Baye's Theorem
  114. 114Consider the following statements: 1. If A and B are mutually exclusive events, then it is possible that . 2. If and are any two events such2019 (Phase 2)Independent Events
  115. 115If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?2019 (Phase 2)Bernoulli Trial and Binomial Distribution
  116. 116Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new stand2019 (Phase 2)Mean
  117. 117If the range of a set of observations on a variable is known to be 25 and if , then what is the range of the set of corresponding observatio2019 (Phase 2)Statistics
  118. 118If V is the variance and M is the mean of first 15 natural numbers, then what is equal to?2019 (Phase 2)Mean
  119. 119A car travels first 60 km at a speed of and travels next 60 km at . What is the average speed of the car?2019 (Phase 2)Arithmetic Progression
  120. 120The mean weight of 150 students in a certain class is 60 kg . The mean weight of boys is 70 kg and that of girls is 55 kg . What are the num2019 (Phase 2)Ratio and Proportion

Frequently Asked Questions

1.How many questions are in the NDA 2019 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 2019 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2019.

4.What is the structure of the NDA 2019 Phase 2 paper?

The NDA 2019 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.What is the difficulty level of the NDA 2019 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 149 (55%) are easy, 119 (44%) are medium and 2 (1%) are hard. Subject wise:

  • General Ability: 121 easy, 29 medium, 0 hard
  • Mathematics: 28 easy, 90 medium, 2 hard
6.Which chapters had the most questions in the NDA 2019 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (52), General Science (50), and English (48).
  • Mathematics: Trigonometric Ratios & Identities (13), Quadratic Equation (10), and Sequences and Series (9).
7.Where can I find the solutions for the NDA 2019 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 2019 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 2019 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.