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NDA 2015 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2015 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 - 129 easy (48%), 140 moderate (52%) and 1 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 12% easy, 88% moderate, 1% tough; General Ability 77% easy, 23% moderate, 0% tough.

General Ability questions were entirely from General Science (51), English (50), and General Studies (49). Mathematics questions were spread across 31 chapters, with Probability (12), Vector Algebra (9), and Application of Derivatives (8) carrying the most weight.

General Ability

  1. 1Select the option that is need to improved to the underlined word. Had she been hungry , she would have devoured the whole lot of it.2015 (Phase 2)Spotting The Errors
  2. 2Select the option that is need to improved to the underlined word. Until you don't finish the work, you won't be given leave.2015 (Phase 2)Spotting The Errors
  3. 3Select the option that is need to improved to the underlined word. The names of the defaulters have been cut off the register.2015 (Phase 2)Sentence Improvement
  4. 4Select the option that is need to improved to the underlined word. This is a matter I'd rather not talk about .2015 (Phase 2)Sentence Improvement
  5. 5Select the option that is need to improved to the underlined word. Only when you left I did sleep .2015 (Phase 2)Sentence Improvement
  6. 6Select the option that is need to improved to the underlined word. I will be happy if you will buy me apples.2015 (Phase 2)Sentence Improvement
  7. 7Select the option that is need to improved to the underlined word. After I saved some money, I shall go abroad.2015 (Phase 2)Spotting The Errors
  8. 8Select the option that is need to improved to the underlined word. Can you arrange the car to be ready this evening ?2015 (Phase 2)Spotting The Errors
  9. 9Select the option that is need to improved to the underlined word. Hardly had he reached home when the telephone rang.2015 (Phase 2)Spotting The Errors
  10. 10Select the option that is need to improved to the underlined word. He is likely to win the elections by the sweeping majority .2015 (Phase 2)Sentence Improvement
  11. 11Find out the correct sequence of sentences which are labelled as P, Q, R and S. His uncle The proper sequence should be:2015 (Phase 2)Jumbled Sentences & Paragraphs
  12. 12Find out the correct sequence of sentences which are labelled as P, Q, R and S. The doctor The proper sequence should be:2015 (Phase 2)Jumbled Sentences & Paragraphs
  13. 13Find out the correct sequence of sentences which are labelled as P, Q, R and S. The proper sequence should be:2015 (Phase 2)Jumbled Sentences & Paragraphs
  14. 14Find out the correct sequence of sentences which are labelled as P, Q, R and S. The proper sequence should be:2015 (Phase 2)Jumbled Sentences & Paragraphs
  15. 15Find out the correct sequence of sentences which are labelled as P, Q, R and S. After the earthquake tremors, the TV showed a haggard man Th2015 (Phase 2)Jumbled Sentences & Paragraphs
  16. 16Find out the correct sequence of sentences which are labelled as P, Q, R and S. The proper sequence should be:2015 (Phase 2)Jumbled Sentences & Paragraphs
  17. 17Select the option that is meaning to the underlined word. Many of his acquaintances avoid him because he is so garrulous2015 (Phase 2)Synonyms
  18. 18Select the option that is meaning to the underlined word. He bore the pain with great fortitude .2015 (Phase 2)Synonyms
  19. 19Select the option that is meaning to the underlined word. He gave his tacit approval to the proposition.2015 (Phase 2)Synonyms
  20. 20Select the option that is meaning to the underlined word. In spite of hard work, the farmers could only get a meagre yield.2015 (Phase 2)Synonyms
  21. 21Select the option that is meaning to the underlined word. He was exhilarated at the outcome of the election results.2015 (Phase 2)Synonyms
  22. 22Select the option that is opposite in meaning to the underlined word. He concealed his thoughts very cleverly.2015 (Phase 2)Antonyms
  23. 23Select the option that is opposite in meaning to the underlined word. The proposal was denounced by one and all.2015 (Phase 2)Antonyms
  24. 24Select the option that is opposite in meaning to the underlined word. She was skeptical about the safety of the new drug.2015 (Phase 2)Antonyms
  25. 25Select the option that is opposite in meaning to the underlined word. The answers to the question were coherent .2015 (Phase 2)Antonyms
  26. 26Select the option that is opposite in meaning to the underlined word. It was no altruistic motive that prompted him to help her.2015 (Phase 2)Antonyms
  27. 27Select the word you consider most appropriate to fill in the blank space. Man has won his dominant position on this planet by his _________ 2015 (Phase 2)Fillers
  28. 28Select the word you consider most appropriate to fill in the blank space. The day was extremely hot and, in no time, my back was drenched wi2015 (Phase 2)Fillers
  29. 29Select the word you consider most appropriate to fill in the blank space. The Government is encouraging village upliftment _________ in the 2015 (Phase 2)Sentence Completion
  30. 30Select the word you consider most appropriate to fill in the blank space. Satish was endowed ________ a natural talent for music.2015 (Phase 2)Fillers
  31. 31Select the word you consider most appropriate to fill in the blank space. Mr. Ghosh is very happy ________ his son's excellent result.2015 (Phase 2)Fillers
  32. 32Select the word you consider most appropriate to fill in the blank space. Sunlight filtering ________ the stained glass window created a mos2015 (Phase 2)Fillers
  33. 33Select the word you consider most appropriate to fill in the blank space. Are you feeling doubtful ________ your decision?2015 (Phase 2)Fillers
  34. 34Select the word you consider most appropriate to fill in the blank space. I want to study Geology now for I _______ Zoology for the last thr2015 (Phase 2)Sentence Improvement
  35. 35Select the word you consider most appropriate to fill in the blank space. Increase in storage facilities has made it possible to store goods2015 (Phase 2)Sentence Completion
  36. 36Select the word you consider most appropriate to fill in the blank space. To say that we were surprised at the cleverness of the child is an2015 (Phase 2)Fillers
  37. 37Select the word you consider most appropriate to fill in the blank space. In spite of the old woman's repeated entreaties, he remained _____2015 (Phase 2)Fillers
  38. 38Select the word you consider most appropriate to fill in the blank space. There was ________ competition for electoral seats.2015 (Phase 2)Sentence Completion
  39. 39Select the word you consider most appropriate to fill in the blank space. The cricket team _______ mainly of State players.2015 (Phase 2)Spotting The Errors
  40. 40Select the word you consider most appropriate to fill in the blank space. His love for money is the only ________ that drives him to work so2015 (Phase 2)Fillers
  41. 41Select the word you consider most appropriate to fill in the blank space. According to _______ sources, the Chief Minister did not consult h2015 (Phase 2)Fillers
  42. 42Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  43. 43Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  44. 44Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  45. 45Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  46. 46Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  47. 47Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  48. 48Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  49. 49Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  50. 50Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2015 (Phase 2)Spotting The Errors
  51. 51A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this rega2015 (Phase 2)Physics
  52. 52Two long wires each carrying a d.c. current in the same direction are placed close to each other. Which one of the following statements is c2015 (Phase 2)Physics
  53. 53The first Indian Satellite, Aryabhatt, was launched in the year:2015 (Phase 2)General Knowledge
  54. 54Which one of the following sea routes is the shortest from point to point?2015 (Phase 2)Geography
  55. 55Which one of the following is not a Green House Gas?2015 (Phase 2)Chemistry
  56. 56Muscle fatigue is due to the accumulation of :2015 (Phase 2)Biology
  57. 57The absolute zero, i.e., temperature below which is not achievable, is about:2015 (Phase 2)Physics
  58. 58Lightning conductors are used to protect building from lightning strikes. Which of the following statements is / are true about lightning co2015 (Phase 2)Physics
  59. 59Match List I with List II and select the correct answer using the code given below the Lists:2015 (Phase 2)Geography
  60. 60Which one of the following is not a sea port?2015 (Phase 2)Geography
  61. 61Consider the following reaction: In the reaction given above, the mixture of CO and is:2015 (Phase 2)Chemistry
  62. 62Living things are grouped into subgroups like plant kingdom/ animal kingdom. Which one of the following is not correct for animal kingdom?2015 (Phase 2)Biology
  63. 63The silvering in thermos flasks is done to avoid heat transfer by:2015 (Phase 2)Physics
  64. 64The Manas National Park is situated in the State of:2015 (Phase 2)Geography
  65. 65Addition of gypsum to cement:2015 (Phase 2)Chemistry
  66. 66In case of a compound microscope which of the following statements is/are correct? 1. The focal length of the eye piece is larger than the f2015 (Phase 2)Physics
  67. 67Which one of the following statements is not correct?2015 (Phase 2)Physics
  68. 68Identify the place that is not an oil field:2015 (Phase 2)Geography
  69. 69Ammonia obtained from different sources always has same proportion of Nitrogen and Hydrogen. It proves the validity of law of:2015 (Phase 2)Chemistry
  70. 70Which one of the following statements is not correct?2015 (Phase 2)Physics
  71. 71The IST meridian E passes through a number of States in India. Which one of the following sets of States is correct in this respect?2015 (Phase 2)Geography
  72. 72Boric acid is an acid because its molecule:2015 (Phase 2)Chemistry
  73. 73Who among the following discovered the antibiotic producing fungus from Penicillium genus?2015 (Phase 2)Biology
  74. 74Three equal resistances when combined in series are equivalent to 90 ohm . Their equivalent resistance when combined in parallel will be:2015 (Phase 2)Physics
  75. 75The following figure represents the velocity-time graph of a moving car on a road: Which segment of the graph represents the retardation?2015 (Phase 2)Physics
  76. 76Which one among the following places is not an iron-ore mining area?2015 (Phase 2)Geography
  77. 77\( {array}{lll} { List I } & { List II } \\ { (Forest Conservation Type)} & {(Place) } \\ { A. National Park } & 1 . { Dudhwa } \\ { B. Sanc2015 (Phase 2)Geography
  78. 78The main constituent of Vinegar is:2015 (Phase 2)Chemistry
  79. 79White Phosphorus glows in the dark due to:2015 (Phase 2)Chemistry
  80. 80Which one of the following is not an example of eukaryotic organism?2015 (Phase 2)Biology
  81. 81Which one of the following statements is not correct?2015 (Phase 2)Physics
  82. 82A man is sitting in a train which is moving with a velocity of hour. His speed with respect to the train is:2015 (Phase 2)Physics
  83. 83Match List I with List II and select the correct answer using the code given below the Lists: Code: A B C D2015 (Phase 2)Geography
  84. 84The term 'Regur' is used to mean:2015 (Phase 2)Geography
  85. 85Graphite is a much better conductor of heat and electricity than diamond. This is due to the fact that each carbon atom in graphite:2015 (Phase 2)Chemistry
  86. 86Which one of the following vitamins is synthesized in our own skin?2015 (Phase 2)Chemistry
  87. 87Which one of the following is the SI unit of the thermal conductivity of a material?2015 (Phase 2)Physics
  88. 88Which one of the following statements is not correct?2015 (Phase 2)Physics
  89. 89Which one of the following combinations of stalactites and stalagmites occurrences is correct?2015 (Phase 2)Geography
  90. 90Which one of the following is the correct sequence about various levels of organization of Biosphere?2015 (Phase 2)Biology
  91. 91Which of the following are the properties of an electron? 1. Electron is a constituent of cathode ray 2. Electron is a negatively charged pa2015 (Phase 2)Chemistry
  92. 92Carbon and energy requirements of autotrophic organisms are fulfilled by:2015 (Phase 2)Biology
  93. 93The resistance of a wire of length and area of cross-section a is ohm. If the wire is stretched to double its length, its resistance would b2015 (Phase 2)Physics
  94. 94Which one of the following describes the Lithosphere?2015 (Phase 2)Geography
  95. 95Which of the following statements regarding heavy water are correct? 1. It is extensively used as a moderator in nuclear reactors 2. It cann2015 (Phase 2)Chemistry
  96. 96Conservation of momentum in a collision between particles can be understood on the basis of:2015 (Phase 2)Physics
  97. 97Which one of the following statements is not correct?2015 (Phase 2)Geography
  98. 98To weld metals together, high temperature is required. Such a high temperature is obtained by burning:2015 (Phase 2)Chemistry
  99. 99Two forces, one of 3 newton and another of 4 newton are applied on a standard 1 kg body, placed on a horizontal and frictionless surface, si2015 (Phase 2)Physics
  100. 100Magnetic meridian is an imaginary:2015 (Phase 2)Physics
  101. 101An up fold in rock is:2015 (Phase 2)Geography
  102. 102Which one of the following gases is found in highest quantity in Exosphere?2015 (Phase 2)Geography
  103. 103In blood, platelets are required for:2015 (Phase 2)Biology
  104. 104In SI unit of force 'Newton' is given by (where m stands for metre and S stands for second):2015 (Phase 2)Physics
  105. 105The acceleration due to gravity ' g ' for objects on or near the surface of earth is related to the universal gravitational constant ' as ('2015 (Phase 2)Physics
  106. 106Match List I with List II and select the correct answer using the code given below the Lists:2015 (Phase 2)Geography
  107. 107Match List I with List II and select the correct answer using the code given below the Lists:2015 (Phase 2)Chemistry
  108. 108Which one of the following is not a site of action in human body for the malarial parasite plasmodium?2015 (Phase 2)Biology
  109. 109The loudness of sound is related to:2015 (Phase 2)Physics
  110. 110X-rays are electromagnetic radiation whose wavelengths are of the order of:2015 (Phase 2)Physics
  111. 111Which one of the following pairs of properties of typical air masses is correct?2015 (Phase 2)Geography
  112. 112The symbol of the element 'Tungsten' is:2015 (Phase 2)Chemistry
  113. 113In Egypt, ancient mummies can be found to have their arteries intact due to well preserved:2015 (Phase 2)Biology
  114. 114Which one of the following statements is correct?2015 (Phase 2)Physics
  115. 115Which one of the following statements is correct?2015 (Phase 2)Chemistry
  116. 116Which one of the following statements is not correct?2015 (Phase 2)Chemistry
  117. 117The alkali metals have relatively low melting point. Which one of the following alkali metals is expected to have the highest melting point?2015 (Phase 2)Chemistry
  118. 118Which one of the following is useful in paper manufacturing industry?2015 (Phase 2)Biology
  119. 119Which one of the following statements is not correct?2015 (Phase 2)Physics
  120. 120According to the Geo-scientists, the shape of the earth is: 1. round 2. spherical 3. close to that of a sphere 4. an oblate ellipsoid Select2015 (Phase 2)Geography
  121. 121The word 'Secular' was inserted into the Constitution of India by:2015 (Phase 2)Polity
  122. 122Which one of the following is not correct in the context of balance of payments of India during 2013-2014?2015 (Phase 2)Economy
  123. 123Which one of the following continents accounts for the maximum share in exports from India?2015 (Phase 2)Geography
  124. 124The two provisions of the Constitution of India that most clearly express the power of Judicial review are:2015 (Phase 2)Polity
  125. 125Which one of the following statements about Subsidiary Alliance devised by Lord Wellesley in the year 1798 is not correct?2015 (Phase 2)History
  126. 126Who among the following was associated with the Mughal Court as a physician to Prince Dara Shukoh'?2015 (Phase 2)History
  127. 127During the Eleventh Five Year Plan (FYP), agriculture sector in India witnessed a growth rate of 3.3 per cent per annum which is higher than2015 (Phase 2)Economy
  128. 128An emergency under Article 352 of the Constitution of India can be declared only during:2015 (Phase 2)Polity
  129. 129Which of the following statements about the Livestock sector in India is/are correct? 1. Livestock contributed about 25 per cent of gross va2015 (Phase 2)Economy
  130. 130Which one of the following statements about Khilafat Movement is not correct?2015 (Phase 2)History
  131. 131Which one of the following is not correct in the current Indian scenario?2015 (Phase 2)Economy
  132. 132The Fourth Schedule to the Constitution of India deals with:2015 (Phase 2)Polity
  133. 133The British Officer who was a representative of the Governor General and who lived in a State which was not under direct British rule was ca2015 (Phase 2)History
  134. 134Which of the following features of the Permanent Settlement of 1793 is / are correct? 1. The Permanent Settlement vested Land ownership righ2015 (Phase 2)History
  135. 135The Vijayanagara Empire received its death blow at the battle of:2015 (Phase 2)History
  136. 136The 'Basic Structure Doctrine' was enunciated by the Supreme Court during the:2015 (Phase 2)Polity
  137. 137Consider the following statements about the travellers who visited India: 1. Abdur Razzaq Samarqandi from Herat visited Delhi and Daulatabad2015 (Phase 2)History
  138. 138Which of the following statements about hill stations of colonial India is/are correct? 1. The architecture of hill stations sought to recre2015 (Phase 2)History
  139. 139Match List I with List II and select the correct answer using the code given below the Lists:2015 (Phase 2)History
  140. 140The Senia tradition is:2015 (Phase 2)General Knowledge
  141. 141Who among the following founded the Rajahmundri Social Reform Association in 1878 in support of widow remarriage?2015 (Phase 2)History
  142. 142The SAARC Secretariat is located at:2015 (Phase 2)General Knowledge
  143. 143The Century Faraizi Movement in eastern Bengal developed under the leadership of:2015 (Phase 2)History
  144. 144The Indian States Committee was formed in 1928 under:2015 (Phase 2)History
  145. 145The Panchayati Raj system under Part-IX of the Constitution of India does not apply of the States of:2015 (Phase 2)Polity
  146. 146The First Five Year Plan (1951-1956) was drafted by:2015 (Phase 2)Economy
  147. 147Who among the following is the author of the book, "Pakistan Paradox: Instability and Resilience2015 (Phase 2)General Knowledge
  148. 148Which one of the following was the theme of the "International Day of United Nations Peacekeepers" for the year 2015?2015 (Phase 2)General Knowledge
  149. 149Indian athlete Vikas Gowda is associated with :2015 (Phase 2)General Knowledge
  150. 150The Federation Cup National Senior Athletic Championships (2015) was held in:2015 (Phase 2)General Knowledge

Mathematics

  1. 1Let be the set of all persons living in Delhi. The persons and in X are said to be related if the difference in their ages is at most 5 year2015 (Phase 2)Questions on Symmetric Transitive and Reflexive Properties
  2. 2The matrix will have inverse for every real number except for2015 (Phase 2)Expansion of Determinants
  3. 3If the value of the determinant is positive, where , then the value of2015 (Phase 2)Expansion of Determinants
  4. 4Consider the following statements in respect of the determinant where are complementary angles 1. The value of the determinant is . 2. The m2015 (Phase 2)Expansion of Determinants
  5. 5What is equal to ?2015 (Phase 2)Arithmetic Operations of Binary Numbers
  6. 6If , then the matrix for which holds true is2015 (Phase 2)Basic Algebra of Matrices
  7. 7If and are complex numbers with , then which of the following is/are correct? 1. 2. Real part of Real part of 3. Imaginary part of Imaginary2015 (Phase 2)Conjugate, modulus and argument
  8. 8If and then which of the following is/are correct? 1. and commute. 2. is a null matrix. Select the correct answer using the code given below2015 (Phase 2)Product of Matrices
  9. 9The number of real roots of the equation is2015 (Phase 2)Graph and Sign of Quadratic
  10. 10If the sum of the roots of the equation is equal to the sum of their squares, then2015 (Phase 2)Relation between Roots and Coefficients
  11. 11If and , then which of the following is/ are correct? 1. 2. Select the correct answer using the code given below:2015 (Phase 2)Inequalities
  12. 12and D are four sets such that . Consider the following : 1. and are always disjoint. 2. and are always disjoint Which of the above statement2015 (Phase 2)Questions on Venn Diagram
  13. 13If is an invertible matrix of order n and k is any positive real number, then the value of is2015 (Phase 2)Inverse of a Matrix
  14. 14The value of the infinite product is2015 (Phase 2)Geometric Progression
  15. 15If the roots of the equation differ by 1 , then2015 (Phase 2)Relation between Roots and Coefficients
  16. 16If different words are formed with all the letters of the word 'AGAIN' and are arranged alphabetically among themselves as in a dictionary, 2015 (Phase 2)Permutation
  17. 17The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always in2015 (Phase 2)Combination
  18. 18In the expansion of the value of constant term (independent of x ) is2015 (Phase 2)Terms of Binomial Expansion
  19. 19The value of . is2015 (Phase 2)Sum of three of more angles
  20. 20On simplifying , we get2015 (Phase 2)Sum and Difference & Multiple angle Formula
  21. 21The value of is2015 (Phase 2)Sum and difference of angles
  22. 22Two poles are 10 m and 20 m high. The line joining their tops makes an angle of with the horizontal. The distance between the poles is appro2015 (Phase 2)Heights and Distances
  23. 23If and , then which one of the following is correct2015 (Phase 2)Composite Function
  24. 24Consider the following : 1. 2. which of the above is/are correct?2015 (Phase 2)Sum and difference of angles
  25. 25If is an orthogonal matrix of order 3 and , then which of the following is/are correct? 1. 2. Select the correct answer using the code given2015 (Phase 2)Inverse of a Matrix
  26. 26If are the sides of a triangle , then where , is2015 (Phase 2)Sine Rule and its application
  27. 27If are real numbers, then the value of the determinant2015 (Phase 2)Expansion of Determinants
  28. 28If the point where is the reflection of point in the line , then the point is2015 (Phase 2)Geometry of Complex Number
  29. 29If and , then is equal to2015 (Phase 2)Sum and Difference & Multiple angle Formula
  30. 30A vertical tower standing on a levelled field is mounted with a vertical flag staff of length 3 m . From a point on the field, the angles of2015 (Phase 2)Heights and Distances
  31. 31Consider the expansion of If the coefficients of and are equal in the expansion, then is equal to2015 (Phase 2)Terms of Binomial Expansion
  32. 32Consider the expansion of The average of the coefficients of the two middle terms in the expansion is2015 (Phase 2)Properties of Binomial Coefficients
  33. 33Consider the expansion of The sum of the coefficients of all the terms in the expansion is2015 (Phase 2)Properties of Binomial Coefficients
  34. 34The th term of an AP. is , then the sum of first 105 terms is2015 (Phase 2)Arithmetic Progression
  35. 35A polygon has 44 diagonals. The number of its sides is2015 (Phase 2)Combination
  36. 36If are in one geometric progression and are in another geometric progression, then ap, bq, cr are in2015 (Phase 2)Geometric Progression
  37. 37Consider a triangle ABC satisfying The sides of the triangle are in2015 (Phase 2)Sine Rule and its application
  38. 38Consider a triangle ABC satisfying are in2015 (Phase 2)Sine Rule and its application
  39. 39If and , then which of the following is/are correct? 1. The value of is 2 . 2. and are in G.P. Select the correct answer using the code give2015 (Phase 2)Basic Identities & T Ratios
  40. 40The number of ways in which 3 holiday tickets can be given to 20 employees of an organization if each employee is eligible for any one or mo2015 (Phase 2)Permutation
  41. 41What is the sum of n terms of the series2015 (Phase 2)Arithmetic Progression
  42. 42The coefficient of in the expansion of . is2015 (Phase 2)Relation between Roots and Coefficients
  43. 43represents a circle with2015 (Phase 2)Geometry of Complex Number
  44. 44The number of 3-digit even numbers that can be formed from the digits and 5 , repetition of digits being not allowed, is2015 (Phase 2)arrangement under constraint
  45. 45If , then m is equal to2015 (Phase 2)Logarithm
  46. 46The area of the figure formed by the lines , ax-by and is2015 (Phase 2)Point and Line
  47. 47If a line is perpendicular to the line and forms a triangle of area 5 square units with co-ordinate axes, then its equation is2015 (Phase 2)Angle between Lines
  48. 48Consider any point P on the ellipse in the first quadrant. Let and represent its distances from and respectively, then is equal to2015 (Phase 2)Equation of Ellipse
  49. 49A straight line touches the . The value of is2015 (Phase 2)Tangent to circle
  50. 50The three lines are2015 (Phase 2)Concurrency & Family of Lines
  51. 51The line intersects the -axis at and -axis at . Then the circumcentre of the triangle where is the origin is2015 (Phase 2)Coordinate System
  52. 52The eccentricity of the hyperbola is2015 (Phase 2)Equation of hyperbola
  53. 53The product of the perpendiculars from the two points ( to the line is2015 (Phase 2)Point and Line
  54. 54If the centre of the circle passing through the origin is , then the intercepts cut off by the circle on x -axis and y -axis respectively ar2015 (Phase 2)Equation of Circle & its intercept
  55. 55The lines and2015 (Phase 2)Direction Cosines and Direction Ratios
  56. 56Two straight lines passing through the point cut the line and x -axis perpendicularly at P and Q respectively. The equation of the line PQ i2015 (Phase 2)Basic Forms of Straight Line
  57. 57The radius of the sphere2015 (Phase 2)Sphere
  58. 58The direction ratios of the line perpendicular to the lines with direction ratios and are2015 (Phase 2)Direction Cosines and Direction Ratios
  59. 59What are the co-ordinates of the foot of the perpendicular drawn from the point on the plane ?2015 (Phase 2)Plane in Space
  60. 60The lengths of the intercepts on the co-ordinate axes made by the plane are2015 (Phase 2)Plane in Space
  61. 61The area of the square, one of whose diagonals is is2015 (Phase 2)Product of 2 vectors
  62. 62is a parallelogram and is the point of intersection of the diagonals. If is the origin, then is equal to2015 (Phase 2)Algebra of Vectors
  63. 63If \( {b}\) and \( {c}\) are the position vectors of the points B and C respectively, then the position vector of the point D such that \( {2015 (Phase 2)Algebra of Vectors
  64. 64If the position vector of the point is such that , then the value/values of an be2015 (Phase 2)Algebra of Vectors
  65. 65If and , then is equal to2015 (Phase 2)Product of 2 vectors
  66. 66Consider the following inequalities in respect of vectors and : 1. 2. Which of the above is/are correct?2015 (Phase 2)Algebra of Vectors
  67. 67If the magnitude of difference of two unit vectors is , then the magnitude of sum of the two vectors is2015 (Phase 2)Algebra of Vectors
  68. 68If the vectors and lie on a plane, where and are distinct non-negative numbers, then is2015 (Phase 2)Algebra of Vectors
  69. 69The vectors and are such that and . Which of the following is/are correct? 1. 2. Select the correct answer using the code given below :2015 (Phase 2)Product of 2 vectors
  70. 70The value of where is2015 (Phase 2)Properties of Definite Integration
  71. 71If , then what is equal to ?2015 (Phase 2)Differentiation of composite functions
  72. 72Consider the function What is the value of a for which is continuous at and ?2015 (Phase 2)Continuity
  73. 73The function is not defined at . The value of so that is continuous at is2015 (Phase 2)Continuity
  74. 74Consider the following functions : 1. 2. Which of the above functions is/are derivable at ?2015 (Phase 2)Differentiability
  75. 75The domain of the function is2015 (Phase 2)Domain
  76. 76Consider the following statements : 1. The function is increasing in the interval 2. The function is decreasing in the interval Which of the2015 (Phase 2)Monotonicity
  77. 77The derivative of with respect to is2015 (Phase 2)Differentiation of composite functions
  78. 78If , where , then is equal to2015 (Phase 2)T inverse T property
  79. 79The function monotonically increasing if2015 (Phase 2)Monotonicity
  80. 80If , then the value of is equal to2015 (Phase 2)Differentiation of implicit functions
  81. 81If be two functions given by and , then is equal to2015 (Phase 2)Inverse of a Function
  82. 82If , then is equal to2015 (Phase 2)Properties of Definite Integration
  83. 83is equal to2015 (Phase 2)Properties of Definite Integration
  84. 84If , then is equal to2015 (Phase 2)Algebraic and Rational Limits
  85. 85Consider the following statements: 1. is an increasing function on . 2. is an increasing function on . Which of the above statements is/are 2015 (Phase 2)Monotonicity
  86. 86If , then is equal to2015 (Phase 2)Higher order derivatives
  87. 87Consider the following statements : Statement The function f R R such that for all is one-one. Statement for all if the function is one-one.2015 (Phase 2)Types of Function (Mapping)
  88. 88is equal to where is the constant of integration2015 (Phase 2)Integration by Substitution
  89. 89Preview not available - open to view this question.2015 (Phase 2)Properties of Definite Integration
  90. 90The area bounded by the coordinate axes and the curve , is2015 (Phase 2)Area of Curve along axis
  91. 91Consider the function , where At what value of does the function attain maximum value?2015 (Phase 2)Maxima Minima
  92. 92Consider the function , where The maximum value of the function is2015 (Phase 2)Maxima Minima
  93. 93Consider such that and The value of is2015 (Phase 2)Maxima Minima
  94. 94Consider such that and is equal to2015 (Phase 2)Higher order derivatives
  95. 95Consider the function The function is an increasing function in the interval2015 (Phase 2)Monotonicity
  96. 96Consider the function The function is a decreasing function in the interval2015 (Phase 2)Monotonicity
  97. 97Consider the integrals Which one of the following is correct?2015 (Phase 2)Properties of Definite Integration
  98. 98Consider the integrals What is the value of ?2015 (Phase 2)Properties of Definite Integration
  99. 99Consider the function which is continuous everywhere. The value of A is2015 (Phase 2)Continuity
  100. 100Consider the function The value of B is2015 (Phase 2)Continuity
  101. 101The degree of the differential equation is2015 (Phase 2)Order and Degree
  102. 102The solution of is where c is an arbitrary constant.2015 (Phase 2)Variable Separable Form
  103. 103The differential equation of the family of circles passing through the origin and having centres on the x -axis is2015 (Phase 2)Formation of Differential Equation
  104. 104The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a, 0) where , are respectively.2015 (Phase 2)Order and Degree
  105. 105is true for all2015 (Phase 2)Functional Equation
  106. 106Three digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. What is the probability that the product is2015 (Phase 2)Classical Definition of Probability
  107. 107Two events A and B are such that 0.5 and . Then is equal to2015 (Phase 2)Conditional Probability and Multiplication Theorem
  108. 108If mean and variance of a Binomial variate are 2 and 1 respectively, then the probability that X takes a value greater than 1 is2015 (Phase 2)Bernoulli Trial and Binomial Distribution
  109. 109Seven unbiased coins are tossed 128 times. In how many throws would you find at least three heads ?2015 (Phase 2)Total Probability
  110. 110A coin is tossed five times. What is the probability that heads are observed more than three times?2015 (Phase 2)Bernoulli Trial and Binomial Distribution
  111. 111The geometric mean of the observations is , The geometric mean of the observations is . The geometric mean of observations is2015 (Phase 2)Mean
  112. 112The arithmetic mean of . up to terms is given by2015 (Phase 2)Arithmetic Progression
  113. 113An unbiased coin is tossed until the first head appears or until four tosses are completed, whichever happens earlier. Which of the followin2015 (Phase 2)Total Probability
  114. 114If , then what is the probability that ?2015 (Phase 2)Classical Definition of Probability
  115. 115A bag contains 4 white and 2 black balls and another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, then the pr2015 (Phase 2)Conditional Probability and Multiplication Theorem
  116. 116A problem in statistics is given to three students and C whose chances of solving it independently are and respectively. The probability tha2015 (Phase 2)Total Probability
  117. 117An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probabilities of an accident involving a sco2015 (Phase 2)Baye's Theorem
  118. 118A coin is tossed 5 times. The probability that tail appears an odd number of times, is2015 (Phase 2)Bernoulli Trial and Binomial Distribution
  119. 119The regression coefficients of a bivariate distribution are -0.64 and -0.36 . Then the correlation coefficient of the distribution is2015 (Phase 2)Statistics
  120. 120What is the probability that the sum of any two different single digit natural numbers is a prime number?2015 (Phase 2)Classical Definition of Probability

Frequently Asked Questions

1.How many questions are in the NDA 2015 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 2015 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2015.

4.What is the structure of the NDA 2015 Phase 2 paper?

The NDA 2015 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 2015 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 129 (48%) are easy, 140 (52%) are medium and 1 (0%) are hard. Subject wise:

  • General Ability: 115 easy, 35 medium, 0 hard
  • Mathematics: 14 easy, 105 medium, 1 hard
6.Which chapters had the most questions in the NDA 2015 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (51), English (50), and General Studies (49).
  • Mathematics: Probability (12), Vector Algebra (9), and Application of Derivatives (8).
7.Where can I find the solutions for the NDA 2015 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 2015 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 2015 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.