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NDA 2011 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2011 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 - 148 easy (55%), 122 moderate (45%) and 0 tough (0%). 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 33% easy, 67% moderate, 0% tough; General Ability 72% easy, 28% moderate, 0% tough.

General Ability questions were entirely from General Science (51), General Studies (50), and English (49). Mathematics questions were spread across 29 chapters, with Statistics (19), Trigonometric Ratios & Identities (11), and Complex Number (9) carrying the most weight.

General Ability

  1. 1Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  2. 2Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  3. 3Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  4. 4Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  5. 5Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  6. 6Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  7. 7Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  8. 8Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  9. 9Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  10. 10Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  11. 11Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  12. 12Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  13. 13Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  14. 14Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  15. 15Find out whether there is any error in any part and indicate your response in the Answer Sheet against the corresponding letter, i.e., (A) o2011 (Phase 2)Spotting The Errors
  16. 16Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  17. 17Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  18. 18Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  19. 19Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  20. 20Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  21. 21Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  22. 22Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  23. 23Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  24. 24Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  25. 25Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 2)Synonyms
  26. 26Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  27. 27Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  28. 28Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  29. 29Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  30. 30Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  31. 31Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  32. 32Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  33. 33Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  34. 34Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  35. 35Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word (occurring in th2011 (Phase 2)Antonyms
  36. 36In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Jumbled Sentences & Paragraphs
  37. 37In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Jumbled Sentences & Paragraphs
  38. 38In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Jumbled Sentences & Paragraphs
  39. 39In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Jumbled Sentences & Paragraphs
  40. 40In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Jumbled Sentences & Paragraphs
  41. 41In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Sentence Improvement
  42. 42In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Spotting The Errors
  43. 43In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 2)Sentence Improvement
  44. 44Carefully read the given passage and answer the questions that follow. Passage: In our approach to life, be it pragmatic or otherwise, a bas2011 (Phase 2)Comprehension Ability
  45. 45Carefully read the given passage and answer the questions that follow. Passage: In our approach to life, be it pragmatic or otherwise, a bas2011 (Phase 2)Comprehension Ability
  46. 46Carefully read the given passage and answer the questions that follow. Passage: In our approach to life, be it pragmatic or otherwise, a bas2011 (Phase 2)Biology
  47. 47Carefully read the given passage and answer the questions that follow. Passage: In our approach to life, be it pragmatic or otherwise, a bas2011 (Phase 2)Comprehension Ability
  48. 48Carefully read the given passage and answer the questions that follow. Passage: One day my brother brought home a new song-bird. It was the 2011 (Phase 2)Comprehension Ability
  49. 49Carefully read the given passage and answer the questions that follow. Passage: One day my brother brought home a new song-bird. It was the 2011 (Phase 2)Comprehension Ability
  50. 50Carefully read the given passage and answer the questions that follow. Passage: One day my brother brought home a new song-bird. It was the 2011 (Phase 2)Comprehension Ability
  51. 51Statement I : Mahatma Gandhi launched the Rowlatt Satyagraha as an all- India mass protest. Statement II : Rowlatt Act was passed by the Bri2011 (Phase 2)History
  52. 52Statement I : A public expression of dissatisfaction with democracy indicates the success of the democratic project: it transforms people fr2011 (Phase 2)Polity
  53. 53Statement I: The private trade of the East India Company's officials in the 18th century had flowered with the indirect patronage of the aut2011 (Phase 2)History
  54. 54Statement I : Water is more polar than Hydrogen Sulphide . Statement II : Oxygen is more electronegative than Sulphur.2011 (Phase 2)Chemistry
  55. 55Statement I : Metal ions are Lewis acids. Statement II : Metal ions are electron pair acceptors.2011 (Phase 2)Chemistry
  56. 56Statement I : Diamond is very hard and has high melting point. Statement II : In diamond, each carbon is covalently bonded to four other car2011 (Phase 2)Chemistry
  57. 57Consider the following statements about the visit of Indian President Smt. Pratibha Patil to Mongolia in July 2011: 1. She became the first 2011 (Phase 2)General Knowledge
  58. 58Who among the following, is the latest Indian to win the Pulitzer Prize for literature?2011 (Phase 2)General Knowledge
  59. 59Indian Army's counter-insurgency school is situated in2011 (Phase 2)General Knowledge
  60. 60Match List-I with List-II and select the correct answer using the codes given below the lists: Codes:2011 (Phase 2)Geography
  61. 61Sirocco is a name used to mean2011 (Phase 2)Geography
  62. 62Which of the following is/are the chief characteristics of commercial grain farming of the middle latitude grasslands? 1. The size of farms 2011 (Phase 2)Geography
  63. 63Match List-I with List-II and select the correct answer using the codes given below the lists: {array}{ll}{c}{ List-I } & {c}{ List-II } \\(2011 (Phase 2)Geography
  64. 64Which one among the following statements relating to an anticyclone is correct?2011 (Phase 2)Geography
  65. 65Tipu Sultan's major interest in building ships was to2011 (Phase 2)History
  66. 66Which among the following is/are the impact/impacts of industrial revolution in England? 1. Cottage industry was replaced by the factory sys2011 (Phase 2)History
  67. 67The international body which was formed in Europe (in 1889) to coordinate the efforts of socialists all over Europe was called2011 (Phase 2)History
  68. 68Which of the following statements with regard to the Federal System is/are correct? 1. In a federation, two sets of governments co-exist and2011 (Phase 2)Polity
  69. 69The common edible mushroom is a2011 (Phase 2)Biology
  70. 70A biogeographic region with significant reservoir of biodiversity that is under threat from humans is called as2011 (Phase 2)Biology
  71. 71The main function of the inner bark of a woody plant is to2011 (Phase 2)Biology
  72. 72Birds like Flamingos can stand on one leg. Which among the following statements relating to this is/are correct? 1. By standing on one leg F2011 (Phase 2)Biology
  73. 73Which one among the following is the largest monkey?2011 (Phase 2)Biology
  74. 74Two copper wires A and B length and respectively, have the same area of cross-section. The ratio of the resistivity of wire to the resistivi2011 (Phase 2)Physics
  75. 75The position - time graph for motion of a body is given below: Which one among the following is depicted by the above graph?2011 (Phase 2)Physics
  76. 76Which one among the following waves are called waves of heat energy?2011 (Phase 2)Physics
  77. 77The phenomenon of 'trade winds' takes place due to2011 (Phase 2)Geography
  78. 78Ultrasonic waves are those sound waves having frequency2011 (Phase 2)Physics
  79. 79Bases turn red litmus blue and acids turn blue litmus red. A student tested a liquid with a red litmus paper and it stayed red with no chang2011 (Phase 2)Chemistry
  80. 80The main constituent of vinegar is2011 (Phase 2)Chemistry
  81. 81The major component used in preparation of different types of glasses is2011 (Phase 2)Chemistry
  82. 82All the elements in a group (family) have a common valency. For example, all the elements of the carbon family (carbon, silicon, germanium, 2011 (Phase 2)Chemistry
  83. 83Match List-I with List-II and select the correct using the code given below the lists: {array}{lc}{c}{ List-I } & {c}{ List-II } \\(Metallic2011 (Phase 2)Chemistry
  84. 84The image formed by a convex mirror of a real object is larger than the object2011 (Phase 2)Physics
  85. 85Protons and neutrons are bound in a nucleus by the2011 (Phase 2)Physics
  86. 86Refractive index of an optical medium changes with 1. the nature of the medium. 2. the change in the angle of incidence of the ray. 3. colou2011 (Phase 2)Physics
  87. 87A one-rupee coin is placed at the bottom of a vessel. Water is then poured into the vessel such that the depth of water becomes 20 cm . If w2011 (Phase 2)Physics
  88. 88Momentum of a body is 1. a vector quantity. 2. a conserved quantity in an isolated system. 3. same as force in linear motion. Select the cor2011 (Phase 2)Physics
  89. 89Which one among the following is a correct sequence of the Indian ports from north to south?2011 (Phase 2)Geography
  90. 90Which one among the following is a correct sequence of production of coal in the Indian States in descending order?2011 (Phase 2)Geography
  91. 91Match List-I with List-II and select the correct answer using the code given below the lists:2011 (Phase 2)Geography
  92. 92The western coasts of India receive very high rainfall in summer mainly due to2011 (Phase 2)Geography
  93. 93The current produced by upwelling of cold water off the coast of Chile and Peru is known as2011 (Phase 2)Geography
  94. 94If the ratio of the weight of a man in a stationary lift and when it is moving downwards with uniform acceleration ' ' is , then the value o2011 (Phase 2)Physics
  95. 95A body is thrown upward against the gravity ' ' with initial velocity ' '. Which one among the following is the correct expression for its f2011 (Phase 2)Physics
  96. 96Which one among the following is the correct value of the gravitational force of the Earth acting on a body of mass 1 kg ?2011 (Phase 2)Physics
  97. 97A neutral (unchanged) metal ball is suspended using a non-magnetic string. A positively charged insulating rod is placed near the ball which2011 (Phase 2)Physics
  98. 98It is impossible for two oscillators, each executing simple harmonic motion, to remain in phase with each other if they have different2011 (Phase 2)Physics
  99. 99Identity the correct sequence of the following events of Indian history: 1. Foundation of the Indian Muslim League 2. Surat Split 3. Partiti2011 (Phase 2)History
  100. 100Neel Darpan is a play based on the story of Indigo Rebellion of Bengal of 1860-61. Who authored it?2011 (Phase 2)History
  101. 101Which one among the following is not the characteristic feature of the Harappan settlement?2011 (Phase 2)History
  102. 102Which one among the following is not true with regard to Rig Veda Samhita?2011 (Phase 2)History
  103. 103The First Anglo-Burmese War was concluded by a treaty. Which one among the following is that?2011 (Phase 2)History
  104. 104Rain shadow effect is associated with2011 (Phase 2)Geography
  105. 105Match List-I with List-II and select the correct answer using the code given below the lists: Codes:2011 (Phase 2)Geography
  106. 106The intensity of insolation depends on2011 (Phase 2)Geography
  107. 107Which of the following statements is/are correct? 1. Cyclone is a low pressure system. 2. The wind movement is clockwise in the cyclone of n2011 (Phase 2)Geography
  108. 108Which one of the following processes of weathering belongs to both mechanical and chemical weathering?2011 (Phase 2)Geography
  109. 109A man was trapped in a room of a building which was up in flames. Fire-fighters had to break window panes which were filled in smoke to take2011 (Phase 2)Biology
  110. 110AIDS is caused by Human Immunodeficiency Virus (HIV) which is2011 (Phase 2)Biology
  111. 111With regard to animal breeding, which one among the following is not correct?2011 (Phase 2)Biology
  112. 112Which one among the following statements regarding heart sound is correct?2011 (Phase 2)Biology
  113. 113Which one among the following cell organelles is semipermeable?2011 (Phase 2)Biology
  114. 114Thermometer A and B have ice points marked at and and steam points at and respectively. When thermometer A measures the temperature of a bat2011 (Phase 2)Physics
  115. 115Which one among the following most correctly determines the atomic number of an element?2011 (Phase 2)Chemistry
  116. 116Potential at a point due to a point charge is V . The charge is doubled and also the distance of the point from the charge is doubled. The n2011 (Phase 2)Physics
  117. 117Which one among the following is used to make periscope?2011 (Phase 2)Physics
  118. 118Kilowatt-hour is the unit of2011 (Phase 2)Physics
  119. 119A stable nucleus (light with ) has2011 (Phase 2)Physics
  120. 120In oxidation 1. hydrogen is displaced from a substance. 2. an electropositive element is added to or proportion of electropositive element i2011 (Phase 2)Chemistry
  121. 121When a copper rod is dipped in aqueous silver nitrate solution, the colour of the solution changes to blue. This is because2011 (Phase 2)Chemistry
  122. 122The reaction that takes place in soap making is called saponification. Basically soap is sodium or potassium salts of2011 (Phase 2)Chemistry
  123. 123The number of protons in a negatively charged atom (anion) is2011 (Phase 2)Chemistry
  124. 124The metal constituent of chlorophyll is2011 (Phase 2)Biology
  125. 125During explosion of gunpowder, which of the following gases are evolved in the proportion of ?2011 (Phase 2)Chemistry
  126. 126Which of the following statements regarding Mughal paintings is/are correct? 1. The paintings of Akbar's time were mostly confined to book i2011 (Phase 2)History
  127. 127Which of the following statements regarding consolidation of British power in century Bengal is/are correct? 1. The Nawab granted the Compan2011 (Phase 2)History
  128. 128Which of the following statements about industrial revolution in Europe is not correct?2011 (Phase 2)History
  129. 129In a democracy, individual differences are encouraged because2011 (Phase 2)Polity
  130. 130The Supreme Court of India has expanded the meaning of the Right to Life to include the following derivative rights. Which one among the fol2011 (Phase 2)Polity
  131. 131Which of the following statements is/are correct? 1. The major constituent mineral of granite rock is quartz. 2. The major constituent miner2011 (Phase 2)Geography
  132. 132Which one among the following is a primary rock?2011 (Phase 2)Geography
  133. 133Which one among the following is the largest temperate desert of the world?2011 (Phase 2)Geography
  134. 134Doldrums is a2011 (Phase 2)Geography
  135. 135The Gulf of Mannar is situated along the coast of2011 (Phase 2)Geography
  136. 136The river with highest tidal bore in India is2011 (Phase 2)Geography
  137. 137Which one among the following is not a mixture?2011 (Phase 2)Chemistry
  138. 138What is the power of the lens, if the far point of a short-sighted eye is 200 cm ?2011 (Phase 2)Physics
  139. 139Which one among the following is correct for resultant of balanced forces?2011 (Phase 2)Physics
  140. 140Three resistance coils of and are connected in series. If the combination is connected to a battery of 9 V , what is the potential drop acro2011 (Phase 2)Physics
  141. 141An electric lamp of 100 watt is used for 10 hours per day. The 'units' of energy consumed in one day by the lamp is2011 (Phase 2)Physics
  142. 142Which one among the following pairs is not correctly matched?2011 (Phase 2)Polity
  143. 143Which of the following statements relating to the Government of India Act of 1935 are correct? 1. It introduced provincial autonomy. 2. It p2011 (Phase 2)History
  144. 144The themes of the murals of the Ajanta Caves are 1. Decorative designs which include a variety of animals, trees and flowers. 2. Portraits o2011 (Phase 2)History
  145. 145Consider the following statements about a report on 'Status of Tigers, Co-predators and Prey in India, 2010' released by the Ministry of Env2011 (Phase 2)General Knowledge
  146. 146Government of India in July 2011 gave its nod for accepting international regulations for the prevention of air pollution emanating from shi2011 (Phase 2)Biology
  147. 147The Supreme Court of India on July 29, 2011 directed the suspension of all mining operations and transportation in Bellary district of Karna2011 (Phase 2)General Knowledge
  148. 148Which one among the following statements regarding South Sudan, who officially joined the international community as an independent nation o2011 (Phase 2)General Knowledge
  149. 149Which one of the following statements about Salwa Judum, the Special Force created to counter Maoist insurgency, is not correct?2011 (Phase 2)Polity
  150. 150Why was Sucheta Kadethankar in the news recently?2011 (Phase 2)General Knowledge

Mathematics

  1. 1What is the value of where ?2011 (Phase 2)De Moivres Theorem
  2. 2What is the value of2011 (Phase 2)Sum and Difference & Multiple angle Formula
  3. 3If , then what is equal to?2011 (Phase 2)Solving Trigonometric Equation
  4. 4If then what is equal to?2011 (Phase 2)Maximum and Minimum Values
  5. 5At a point 15 m away from the base of a 15 m high house, the angle of elevation of the top is2011 (Phase 2)Heights and Distances
  6. 6The simultaneous equations and have2011 (Phase 2)System of Linear Equations
  7. 7What is the principal value of ?2011 (Phase 2)Principal Value and Basics
  8. 8What is the common term between the series and2011 (Phase 2)Arithmetic Progression
  9. 9If the term of a GP is 9 and term is 4 , then what is its term?2011 (Phase 2)Geometric Progression
  10. 10The function has2011 (Phase 2)Monotonicity
  11. 11If are three consecutive terms of an AP, then which one of the following is correct?2011 (Phase 2)Arithmetic Progression
  12. 12What is the locus of points of intersection of a sphere and a plane?2011 (Phase 2)Sphere
  13. 13The equation has one root . What is the other root?2011 (Phase 2)Relation between Roots and Coefficients
  14. 14What are the square roots of ?2011 (Phase 2)Algebra of complex numbers
  15. 15What is the area between the curve and the co-ordinate axes?2011 (Phase 2)Area of Curve along axis
  16. 16At an extreme point of a function , the tangent to the curve is2011 (Phase 2)Tangent Normal
  17. 17If , then what is equal to?2011 (Phase 2)Differentiation of composite functions
  18. 18In binary system the decimal number 0.3 can be expressed as2011 (Phase 2)Decimal to Binary Conversion
  19. 19Two letters are drawn at random from the word 'HOME'. What is the probability that both the letters are vowels?2011 (Phase 2)Classical Definition of Probability
  20. 20If where , then what is equal to?2011 (Phase 2)Conjugate, modulus and argument
  21. 21There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. What is the number of ways in 2011 (Phase 2)Combination
  22. 22What is the value of ?2011 (Phase 2)Permutation
  23. 23What are the co-ordinates of the foot of the prependicular from the point on the line ?2011 (Phase 2)Point and Line
  24. 24What is the degree of the differential equation2011 (Phase 2)Order and Degree
  25. 25What is the area enclosed by the equation ?2011 (Phase 2)Equation of Circle & its intercept
  26. 26What is equal to? where is the constant of integration.2011 (Phase 2)Integration by Substitution
  27. 27The roots of the equation are independent of2011 (Phase 2)Expansion of Determinants
  28. 28Which one of the following is the mean of the data given below?2011 (Phase 2)Mean
  29. 29If and are two vectors such that and , then which one of the following is correct?2011 (Phase 2)Algebra of Vectors
  30. 30If , then what is the value of at ?2011 (Phase 2)Differentiation of composite functions
  31. 31The point in the interval where has maximum slope is2011 (Phase 2)Maxima Minima
  32. 32If , where is a non-square natural number , then is2011 (Phase 2)Basic Identities & T Ratios
  33. 33In any triangle ABC , the sides are 6 cm , 10 cm and 14 cm . Then the triangle is obtuse angled with the obtuse angle equal to2011 (Phase 2)Cosine Rule and Projection Formula
  34. 34In a triangle , if and , then is equal to2011 (Phase 2)Sum and difference of angles
  35. 35Let be the roots of the equation . Then the roots of the equation are2011 (Phase 2)Common Roots
  36. 36If the equations and have a common root and the roots of the second equation are equal, then which one of the following is correct?2011 (Phase 2)Common Roots
  37. 37If and Are in GP, then the value of will be2011 (Phase 2)Geometric Progression
  38. 38The smallest positive integral value of for which is purely imaginary with positive imaginary part is2011 (Phase 2)nth roots of unity
  39. 39What is the area of the triangle formed by the lines joining the vertex of the parabola to the ends of the latus rectum?2011 (Phase 2)standard equation of parabola
  40. 40What is the angle between two planes and ?2011 (Phase 2)Plane in Space
  41. 41What is the equation of the curve passing through the point satisfying the differential equation ?2011 (Phase 2)Variable Separable Form
  42. 42A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is and that of wife's s2011 (Phase 2)Independent Events
  43. 43If and are the complex cube roots of unity, then what is the value of ?2011 (Phase 2)Cube Root of Unity
  44. 44A tower of height 15 m stands vertically on the ground. From a point on the ground the angle of elevation of the top of the tower is found t2011 (Phase 2)Heights and Distances
  45. 45If and , then what is equal to?2011 (Phase 2)Basic Identities & T Ratios
  46. 46There is a point inside a circle. What is the probability that this point is close to the circumference than to the centre?2011 (Phase 2)Geometric Probability
  47. 47How many diagonals will be there in an -sided regular polygon?2011 (Phase 2)Combination
  48. 48Students of three sections of a class, having 30,30 and 40 students appeared for a test of 100 marks. The arithmetic means of the marks of t2011 (Phase 2)Mean
  49. 49What is the focal distance of any point on the parabola2011 (Phase 2)standard equation of parabola
  50. 50If the vectors and are orthogonal to each other, then what is the locus of the point ?2011 (Phase 2)Product of 2 vectors
  51. 51What is the value of the determinant2011 (Phase 2)Expansion of Determinants
  52. 52If are in AP , then is equal to which one of the following?2011 (Phase 2)Arithmetic Progression
  53. 53Let and be the roots of the equation . The equation whose roots are and is2011 (Phase 2)Cube Root of Unity
  54. 54A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height . At a point P on the plane, the angle of2011 (Phase 2)Heights and Distances
  55. 55, then which one of the following is correct?2011 (Phase 2)Expansion of Determinants
  56. 56If is the point on the -axis equidistant from the points and , then which one of the following is correct?2011 (Phase 2)Coordinate System
  57. 57If the variance of the data is , then what is the variance of the data ?2011 (Phase 2)Measures of Dispersion
  58. 58If is the unit vector perpendicular to both the vectors and , then what is another unit vector perpendicular to both the vectors and ?2011 (Phase 2)Algebra of Vectors
  59. 59If is the length of the perpendicular drawn from the origin to the line , then which one of the following is correct?2011 (Phase 2)Point and Line
  60. 60If the sides of a triangle are in the ratio , then what is the smallest angle of the triangle?2011 (Phase 2)Cosine Rule and Projection Formula
  61. 61What is the value of2011 (Phase 2)Geometric Progression
  62. 62If , then what is the number of proper subsets of A ?2011 (Phase 2)Questions on number of relations and sets
  63. 63In a random arrangement of the letters of the word 'UNIVERSITY', what is the probability that two 1 's do not come together?2011 (Phase 2)Permutation
  64. 64If and , then what is the value of ?2011 (Phase 2)Sum and Difference & Multiple angle Formula
  65. 65An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation o2011 (Phase 2)Heights and Distances
  66. 66For what value of are the points with position vectors and collinear?2011 (Phase 2)Algebra of Vectors
  67. 67The mean of 7 observations is 10 and that of 3 observations is 5 . What is the mean of all the 10 observations?2011 (Phase 2)Mean
  68. 68What is the ratio of coefficient of to the term independent of in ?2011 (Phase 2)Terms of Binomial Expansion
  69. 69If such that , then what is equal to?2011 (Phase 2)Expansion of Determinants
  70. 70In a class of 125 students 70 passed in Mathematics, 55 passed in Statistics and 30 passed in both. What is the probability that a student s2011 (Phase 2)Addition and Subtraction Theorems
  71. 71For what value of are the vectors , and coplanar?2011 (Phase 2)Algebra of Vectors
  72. 72In a triangle and . What is angle C equal to?2011 (Phase 2)Cosine Rule and Projection Formula
  73. 73If for all , then which one of the following is correct?2011 (Phase 2)Maximum and Minimum Values
  74. 74The equation will have at least one real solution if2011 (Phase 2)Solving Trigonometric Equation
  75. 75The sides of a triangle ABC are in arithmetic progression and ' ' is the smallest side. What is equal to?2011 (Phase 2)Cosine Rule and Projection Formula
  76. 76If , then which one of the following is correct?2011 (Phase 2)Properties of Definite Integration
  77. 77If are positive integers and is the cube root of unity and , then what is equal to?2011 (Phase 2)Cube Root of Unity
  78. 78What is the maximum value of2011 (Phase 2)Maximum and Minimum Values
  79. 79If , then what is equal to?2011 (Phase 2)Basic Identities & T Ratios
  80. 80What is the equation of the plane passing through the point and perpendicular to each of the planes and ?2011 (Phase 2)Plane in Space
  81. 81What is the value of ?2011 (Phase 2)Basic Identities & T Ratios
  82. 82If the rate of change in volume of spherical soap bubble is uniform, then the rate of change in surface area varies as2011 (Phase 2)Rate Measure Error and Approximation
  83. 83What is equal to?2011 (Phase 2)Basic Identities & T Ratios
  84. 84Some measures of central tendency for discrete observations are given below: 1. Arithmetic mean 2. Geometric mean 3. Harmonic mean 4. Median2011 (Phase 2)Mean
  85. 85If , then attains minimum value at which one of the following points?2011 (Phase 2)Maxima Minima
  86. 86A variate X takes values 2, 3, 4, 2, 5, 4, 3, 2, 1. What is the mode?2011 (Phase 2)Mode
  87. 87If , then what is the value of2011 (Phase 2)Algebra of complex numbers
  88. 88What is the argument of2011 (Phase 2)Conjugate, modulus and argument
  89. 89What is the area bounded by the curve and the coordinate axes?2011 (Phase 2)Area of Curve along axis
  90. 90Consider the following statements in respect of the square matrices and of same order: 1. and are non-zero and either or 2. or Which of the 2011 (Phase 2)Inverse of a Matrix
  91. 91For what value of , are the lines and parallel?2011 (Phase 2)Angle between Lines
  92. 92What are the points on the curve where the tangents are parallel to -axis?2011 (Phase 2)Tangent Normal
  93. 93If , then how many distinct values can assume?2011 (Phase 2)Sum and Difference & Multiple angle Formula
  94. 94What is the radius of the circle touching -axis at and -axis at2011 (Phase 2)Equation of Circle & its intercept
  95. 95For all is divisible by2011 (Phase 2)Mathematical Induction
  96. 96If the roots of the equation are real, then what is the minimum value of N ?2011 (Phase 2)Relation between Roots and Coefficients
  97. 97The equation to sphere passing through origin and the points and is . What is equal to?2011 (Phase 2)Sphere
  98. 98What is the area of the triangle with vertices , and2011 (Phase 2)Product of 2 vectors
  99. 99For what value of does hold?2011 (Phase 2)Product of Matrices
  100. 100If one of the roots of the equation is 1 , what is the second root?2011 (Phase 2)Relation between Roots and Coefficients
  101. 101What are the roots of the equation2011 (Phase 2)Relation between Roots and Coefficients
  102. 102What is the value of2011 (Phase 2)Logarithm
  103. 103If the roots of the equation are equal, then what is the value of ?2011 (Phase 2)Relation between Roots and Coefficients
  104. 104If is a null set, then which one of the following is correct?2011 (Phase 2)Questions on number of relations and sets
  105. 105What is the equation of a line parallel to -axis at a distance of 5 units below -axis?2011 (Phase 2)Basic Forms of Straight Line
  106. 106What is the total population for the year 1997?2011 (Phase 2)Statistics
  107. 107What is the female urban population in the year 1995?2011 (Phase 2)Statistics
  108. 108What is the urban population in the year 1997?2011 (Phase 2)Statistics
  109. 109What is the total population in the year2011 (Phase 2)Statistics
  110. 110What is the difference between the number of females and the number of males in the year 1995?2011 (Phase 2)Statistics
  111. 111In which year is the male population minimum?2011 (Phase 2)Statistics
  112. 112In which year is the female population maximum?2011 (Phase 2)Statistics
  113. 113What is the percentage of rural male population (over the whole population) in the year 1998 ?2011 (Phase 2)Statistics
  114. 114The following pie chart gives the distribution of funds in a five year plan under the major heads of development expenditures: Agriculture (2011 (Phase 2)Statistics
  115. 115The following pie chart gives the distribution of funds in a five year plan under the major heads of development expenditures: Agriculture (2011 (Phase 2)Statistics
  116. 116The following pie chart gives the distribution of funds in a five year plan under the major heads of development expenditures: Agriculture (2011 (Phase 2)Statistics
  117. 117The following pie chart gives the distribution of funds in a five year plan under the major heads of development expenditures: Agriculture (2011 (Phase 2)Statistics
  118. 118What is the geometric mean of 10,40 and2011 (Phase 2)Means
  119. 119What is the median of the distribution ,2011 (Phase 2)Median
  120. 120If the arithmetic and geometric means of two numbers are 10,8 respectively, then one number exceeds the other number by2011 (Phase 2)Means

Frequently Asked Questions

1.How many questions are in the NDA 2011 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 2011 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2011.

4.What is the structure of the NDA 2011 Phase 2 paper?

The NDA 2011 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 2011 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 148 (55%) are easy, 122 (45%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 108 easy, 42 medium, 0 hard
  • Mathematics: 40 easy, 80 medium, 0 hard
6.Which chapters had the most questions in the NDA 2011 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (51), General Studies (50), and English (49).
  • Mathematics: Statistics (19), Trigonometric Ratios & Identities (11), and Complex Number (9).
7.Where can I find the solutions for the NDA 2011 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 2011 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 2011 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.