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NDA 2012 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2012 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 - 178 easy (66%), 92 moderate (34%) 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 50% easy, 50% moderate, 0% tough; General Ability 79% easy, 21% moderate, 0% tough.

General Ability questions were entirely from General Science (51), English (50), and General Studies (49). Mathematics questions were spread across 29 chapters, with Straight Lines (12), Probability (10), and Statistics (8) carrying the most weight.

General Ability

  1. 1Paragraph: There was a farewell ceremony on her day at school, to which my parents and I were invited. It was a touching ceremony in a solem2012 (Phase 2)Comprehension Ability
  2. 2Paragraph: There was a farewell ceremony on her day at school, to which my parents and I were invited. It was a touching ceremony in a solem2012 (Phase 2)Comprehension Ability
  3. 3Paragraph: There was a farewell ceremony on her day at school, to which my parents and I were invited. It was a touching ceremony in a solem2012 (Phase 2)Comprehension Ability
  4. 4Paragraph: It is no doubt true that we cannot go through life without sorrow. There can be no sunshine without shadow, we must not complain 2012 (Phase 2)Comprehension Ability
  5. 5Paragraph: It is no doubt true that we cannot go through life without sorrow. There can be no sunshine without shadow, we must not complain 2012 (Phase 2)Comprehension Ability
  6. 6Paragraph: It is no doubt true that we cannot go through life without sorrow. There can be no sunshine without shadow, we must not complain 2012 (Phase 2)Comprehension Ability
  7. 7Paragraph: It is no doubt true that we cannot go through life without sorrow. There can be no sunshine without shadow, we must not complain 2012 (Phase 2)Comprehension Ability
  8. 8Paragraph: It is no doubt true that we cannot go through life without sorrow. There can be no sunshine without shadow, we must not complain 2012 (Phase 2)Comprehension Ability
  9. 9Rearrange the jumbled parts of the sentence in a proper sequence. P : he had Q : 'no' to him R : such a winning smile S : that I could not s2012 (Phase 2)Sentence Improvement
  10. 10Rearrange the jumbled parts of the sentence in a proper sequence. P : he nodded Q : he understood R : as though S : everything The correct s2012 (Phase 2)Jumbled Sentences & Paragraphs
  11. 11Rearrange the jumbled parts of the sentence in a proper sequence. P : the child burned down Q : the house R : by playing S : with matches Th2012 (Phase 2)Jumbled Sentences & Paragraphs
  12. 12Rearrange the jumbled parts of the sentence in a proper sequence. P : in his innocence Q : I believed R : of the charge S : and aquittal The2012 (Phase 2)Jumbled Sentences & Paragraphs
  13. 13Rearrange the jumbled parts of the sentence in a proper sequence. My little sister P : in school Q : instead of reading books R : who was qu2012 (Phase 2)Jumbled Sentences & Paragraphs
  14. 14Rearrange the jumbled parts of the sentence in a proper sequence. P : for having stood first Q : last year R : at the B.A. examination S : h2012 (Phase 2)Jumbled Sentences & Paragraphs
  15. 15Rearrange the jumbled parts of the sentence in a proper sequence. We are proud that P : as our chief guest Q : our Mayor R : is a former stu2012 (Phase 2)Sentence Improvement
  16. 16Rearrange the jumbled parts of the sentence in a proper sequence. At the end of the morning exercise, P : the soldiers Q : to get ready to l2012 (Phase 2)Jumbled Sentences & Paragraphs
  17. 17Rearrange the jumbled parts of the sentence in a proper sequence. After having got up from bed P : the Magistrate Q : to bring coffee R : or2012 (Phase 2)Jumbled Sentences & Paragraphs
  18. 18Rearrange the jumbled parts of the sentence in a proper sequence. P : to resolve it Q : than R : it is easier S : to talk about a problem Th2012 (Phase 2)Jumbled Sentences & Paragraphs
  19. 19Rearrange the jumbled parts of the sentence in a proper sequence. P : to my client Q : that I speak R : immediately S : it is important The 2012 (Phase 2)Jumbled Sentences & Paragraphs
  20. 20Rearrange the jumbled parts of the sentence in a proper sequence. You had better P : of getting a good response Q : so that R : we will be s2012 (Phase 2)Jumbled Sentences & Paragraphs
  21. 21Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  22. 22Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  23. 23Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  24. 24Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  25. 25Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  26. 26Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  27. 27Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  28. 28Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  29. 29Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  30. 30Find out whether there is any error in any of the sentences and indicate your response in the answer sheet against the corresponding letter,2012 (Phase 2)Spotting The Errors
  31. 31Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. A small ALTERC2012 (Phase 2)Antonyms
  32. 32Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. He agreed relu2012 (Phase 2)Antonyms
  33. 33Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. My mother has 2012 (Phase 2)Antonyms
  34. 34Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. The three stat2012 (Phase 2)Antonyms
  35. 35Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. He was deeply 2012 (Phase 2)Antonyms
  36. 36Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. He was asked t2012 (Phase 2)Antonyms
  37. 37Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. The child was 2012 (Phase 2)Antonyms
  38. 38Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. The baby has a2012 (Phase 2)Antonyms
  39. 39Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. The government2012 (Phase 2)Antonyms
  40. 40Select the option that is opposite in meaning of the word (occurring in the sentences in capital letters) as per the context. He aims at PER2012 (Phase 2)Antonyms
  41. 41Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. MOMENTOUS chang2012 (Phase 2)Synonyms
  42. 42Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. His condition D2012 (Phase 2)Synonyms
  43. 43Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. She is pretty I2012 (Phase 2)Synonyms
  44. 44Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. It is the diffi2012 (Phase 2)Synonyms
  45. 45Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. We should not a2012 (Phase 2)Synonyms
  46. 46Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. He is very OBLI2012 (Phase 2)Synonyms
  47. 47Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. She thought tha2012 (Phase 2)Idioms and Phrases
  48. 48Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. He was a CHARIS2012 (Phase 2)Synonyms
  49. 49Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. She was complet2012 (Phase 2)Synonyms
  50. 50Select the option that is nearest in meaning of the word (occurring in the sentences in capital letters) as per the context. He is an INDEFA2012 (Phase 2)Synonyms
  51. 51Air is2012 (Phase 2)Chemistry
  52. 52Consider the following figure : Which of the following labelled points in the figure given above indicate unstable state of an object?2012 (Phase 2)Physics
  53. 53Which one among the following is an electrochemical cell that cannot be charged?2012 (Phase 2)Chemistry
  54. 54Which one among the following is the correct order of power consumption for light of equal intensity?2012 (Phase 2)Physics
  55. 55One feels heavier in a lift when the lift2012 (Phase 2)Physics
  56. 56A swinging pendulum has its maximum acceleration at2012 (Phase 2)Physics
  57. 57Which one among the following statements about thermal conductivity is correct?2012 (Phase 2)Physics
  58. 58The process of nuclear fusion in the sun requires2012 (Phase 2)Physics
  59. 59Which one among the following is the true representation of (i) variable DC potential (ii) rheostat and (iii) AC ammeter respectively?2012 (Phase 2)Physics
  60. 60In India, distribution of electricity for domestic purpose is done in the form of2012 (Phase 2)Physics
  61. 61The earth's magnetic field is approximately2012 (Phase 2)Physics
  62. 62Yellow colour light is used as fog light because yellow colour2012 (Phase 2)Physics
  63. 63A hot object loses heat to its surroundings in the form of heat radiation. The rate of loss of heat depends on the2012 (Phase 2)Physics
  64. 64The mirror used for the head light of a car is2012 (Phase 2)Physics
  65. 65An iron ball and a wooden ball of the same radius are released from a height ' ' in vacuum. The time taken to reach the ground will be2012 (Phase 2)Physics
  66. 66Match List-I with List-II and select the correct answer using the codes given below the Lists :2012 (Phase 2)Geography
  67. 67Which one among the following transitions is associated with the largest change in energy in hydrogen atom?2012 (Phase 2)Physics
  68. 68Match List-I with List-II and select the correct answer using the codes given below the Lists:2012 (Phase 2)Chemistry
  69. 69Which one among the following does not have an allotrope?2012 (Phase 2)Chemistry
  70. 70Match List-I with List-II and select the correct answer using the codes given below the Lists :2012 (Phase 2)Chemistry
  71. 71Consider the following statements : 1. Diamond is hard and graphite is soft. 2. Diamond is soft and graphite is hard. 3. Diamond is a bad co2012 (Phase 2)Chemistry
  72. 72The most important raw material used in the manufacture of cement are2012 (Phase 2)Chemistry
  73. 73Which one among the following equations is correctly balanced?2012 (Phase 2)Chemistry
  74. 74Three elements and O combine to form a compound . What is the valency of S in this compound?2012 (Phase 2)Chemistry
  75. 75Which one among the following is the equivalent weight of sulphuric acid? (Atomic weight : )2012 (Phase 2)Chemistry
  76. 76Deionised water is produced by2012 (Phase 2)Chemistry
  77. 77Which one among the following is a double salt?2012 (Phase 2)Chemistry
  78. 78Which one among the following is the correct order the strength of acids?2012 (Phase 2)Chemistry
  79. 79Given below is an approximate composition of a substance : The substance is2012 (Phase 2)Chemistry
  80. 80In molecule, the oxidation states of the elements Potassium (K), Manganese (Mn) and Oxygen (O) are respectively2012 (Phase 2)Chemistry
  81. 81Which of the following statements is/are correct? 1. Inter-Tropical Convergence Zone is a low pressure belt which forms an important zone of2012 (Phase 2)Geography
  82. 82Consider the following characteristics of industries: 1. They can be located in a wide variety of places. 2. They are not dependent on any s2012 (Phase 2)Geography
  83. 83Consider the following statements regarding El Nino effect on Indian Monsoon : 1. The surface temperature goes up in the Southern Pacific Oc2012 (Phase 2)Geography
  84. 84In which among the following terrains the bore wells and canals can be dug easily?2012 (Phase 2)Geography
  85. 85Wide range and variability in rainfall, torrential in character, reversal of winds and uncertain arrival are the characteristics of2012 (Phase 2)Geography
  86. 86Which of the following statements is/are correct? 1. The local time of Itanagar (Arunachal Pradesh) is about two hours ahead than Dwarka (Gu2012 (Phase 2)Geography
  87. 87Mackeral sky is associated with cloud type2012 (Phase 2)Geography
  88. 88The average surface temperature of the earth's surface is2012 (Phase 2)Chemistry
  89. 89Match List-I with List-II and select the correct answer using the codes given below the Lists :2012 (Phase 2)Geography
  90. 90Ferral's law is related to deflection of2012 (Phase 2)Geography
  91. 91The grassland region of South Africa is known as2012 (Phase 2)Geography
  92. 92In India, the Tropical Savanah (AW) type of climate prevails largely in2012 (Phase 2)Geography
  93. 93The Nokrek biosphere reserve is located in2012 (Phase 2)Geography
  94. 94Codes :2012 (Phase 2)Geography
  95. 95Where is Aghil Pass located?2012 (Phase 2)Geography
  96. 96The Jury Act of 1827 was opposed by many Indians. One of the grounds for opposing it was that it denied both to the Hindus and Mohammedans t2012 (Phase 2)History
  97. 97Plan Balkan was2012 (Phase 2)History
  98. 98Which one among the following prominently rose in revolt against the British in 1857?2012 (Phase 2)History
  99. 99The first Prime Minister of India in 1947 was appointed by2012 (Phase 2)History
  100. 100Which one among the following statements is correct? The press in democracy must2012 (Phase 2)Polity
  101. 101Telescopes are placed in space to view distant galaxies primarily to2012 (Phase 2)Physics
  102. 102SONAR is mostly used by2012 (Phase 2)Physics
  103. 103A bucket full of water is kept in a room and it cools from to in time minutes, from to in time minutes, and from to in time minutes, then2012 (Phase 2)Physics
  104. 104For a simple pendulum, the graph between and (where T is the time period \& L is the length) is2012 (Phase 2)Physics
  105. 105When an electrical safety fuse is rated (marked) as 16 A , it means it2012 (Phase 2)Physics
  106. 106Who among the following was recently (May 2012) elected as Chair of the Asian Development Bank's Board of Governors?2012 (Phase 2)General Knowledge
  107. 107Consider the following statements: 1. Justice Dalveer Bhandari was recently elected as the President of International Court of Justice. 2. J2012 (Phase 2)General Knowledge
  108. 108Consider the following names in field of Indian cinema: Vidya Balan Soumitra Chatterjee Tapan Sinha V.K. Murthy Which of the following state2012 (Phase 2)General Knowledge
  109. 109Who among the following was awarded the first Tagore Award for Cultural Harmony for the year 2012?2012 (Phase 2)General Knowledge
  110. 110Consider the following about the budget proposals for the year 2012-2013: 1. Service tax rate raised and covers all services including those2012 (Phase 2)Economy
  111. 111Suppose, the Naxalites have kidnapped a Deputy Commissioner from Baster region in Chhattisgarh and taken him to the Abujmad area. In return 2012 (Phase 2)Polity
  112. 112A high level committee set up by the Ministry of Housing and Urban poverty alleviation conducted a survey of the slum populations in India's2012 (Phase 2)Geography
  113. 113The UN has recently passed a resolution against human right violation in a South Asian country. Which of the following was the country?2012 (Phase 2)General Knowledge
  114. 114Prof. Vijay Raghavan, an Indian scientist, who has been elected Fellow of Royal Society in the year 2012, is a renowned2012 (Phase 2)General Knowledge
  115. 115Operation Cactus is the name given to Indian Military intervention in2012 (Phase 2)General Knowledge
  116. 116The following two items consist of two statements, statement I and statement II. You are to examine these two statements carefully and selec2012 (Phase 2)Biology
  117. 117The following two items consist of two statements, statement I and statement II. You are to examine these two statements carefully and selec2012 (Phase 2)History
  118. 118Which one of the following water borne disease is not caused by bacteria?2012 (Phase 2)Biology
  119. 119The process of conventional earlobe piercing does not lead to bleeding. This is because the2012 (Phase 2)Biology
  120. 120After entering the human body through mosquito bite, the malarial parasite (plasmodium) shows initial multiplication in2012 (Phase 2)Biology
  121. 121Which one among the following parts of blood carries the function of body defence?2012 (Phase 2)Biology
  122. 122Which one among the following is not included in major clinical sign as a case definition of AIDS in children years of age?2012 (Phase 2)Biology
  123. 123Polio disease is caused by2012 (Phase 2)Biology
  124. 124Which one among the following is the hardest part of our body?2012 (Phase 2)Biology
  125. 125Which of the following group is present in animal cells?2012 (Phase 2)Biology
  126. 126Which one among the following statement is correct? In digestive system of living organisms2012 (Phase 2)Biology
  127. 127Which one among the following rocks does not belong to the same group?2012 (Phase 2)Geography
  128. 128Match List-I with List-II and select the correct answer using the codes given below the lists :2012 (Phase 2)History
  129. 129Match List-I with List-II and select the correct answer using the codes given below the Lists :2012 (Phase 2)Geography
  130. 130The Deccan Trap Formation was caused by2012 (Phase 2)Geography
  131. 131Match List-I with List-II and select the correct answer using the codes given below the Lists :2012 (Phase 2)Physics
  132. 132A body weighs 5 kg on equator. At the poles it is likely to weigh2012 (Phase 2)Physics
  133. 133The polarity of an unmarked horse shoe magnet can be determined by using2012 (Phase 2)Physics
  134. 134A staircase has 5 steps each 10 cm high and 10 cm wide. What is the minimum horizontal velocity to be given to the ball so that it hits dire2012 (Phase 2)Physics
  135. 135Consider the following statements: 1. If a piece of bar magnet is broken into two equally long pieces, the pieces will not lose the magnetic2012 (Phase 2)Physics
  136. 136Consider the following circuit : The current flowing through each of the resistors connected in the above circuit is2012 (Phase 2)Physics
  137. 137Consider the following statements : The state government shall appoint a Finance Commission to review the financial position of the Panchaya2012 (Phase 2)Polity
  138. 138Which one among the following monuments was earlier known as 'All India War Memorial'?2012 (Phase 2)History
  139. 139Which of the following statements regarding the Preamble of the Constitution of India is/are correct? 1. The Preamble is an integral part of2012 (Phase 2)Polity
  140. 140Normally the Parliament can legislate on the subjects enumerated in2012 (Phase 2)Polity
  141. 141Which one among the following statements relating to the Home Rule movement is not correct?2012 (Phase 2)History
  142. 142Why did Gandhiji go to Champaran?2012 (Phase 2)History
  143. 143Which one among the following was the fundamental cause of the first Karnataka War between the British and the French?2012 (Phase 2)History
  144. 144Which one among the following cities was the best producer of silk cloth under Gupta reign?2012 (Phase 2)History
  145. 145Which one among the following is not correct about the cave paintings at Ajanta?2012 (Phase 2)History
  146. 146Vice-President of India is elected by an electoral college consisting of2012 (Phase 2)Polity
  147. 147Who among the following has a right to speak and otherwise take part in proceedings of either House of Parliament and to be a member of any 2012 (Phase 2)Polity
  148. 148Which one among the following countries is not touched by the Stilwell Road constructed during the World War II?2012 (Phase 2)History
  149. 149Which one among the following wars ended by the Treaty of Salbai?2012 (Phase 2)History
  150. 150Navroze is a festival celebrated in India by the2012 (Phase 2)General Knowledge

Mathematics

  1. 1If the roots of a quadratic equation are and , then the quadratic equation will be :2012 (Phase 2)Relation between Roots and Coefficients
  2. 2If are the roots of and are roots of then what is equal to?2012 (Phase 2)Relation between Roots and Coefficients
  3. 3Consider the following statements : 1. The sum of cubes of first 20 natural numbers is 44400. 2. The sum of squares of first 20 natural numb2012 (Phase 2)Summation of Series
  4. 4Consider the following statements : 1. 2. for some prime number where is a cubic root of unity. Which of the above statements is/are correct2012 (Phase 2)Cube Root of Unity
  5. 5What is the sum of first eight terms of the series2012 (Phase 2)Geometric Progression
  6. 6The number of permutations that can be formed from all the letters of the word 'BASEBALL' is :2012 (Phase 2)Permutation
  7. 7The relation 'has the same father as' over the set of children is :2012 (Phase 2)Questions on Symmetric Transitive and Reflexive Properties
  8. 8If the roots of the quadratic equation are real and unequal, then which one of the following is correct?2012 (Phase 2)Relation between Roots and Coefficients
  9. 9The decimal representation of the number in binary system is :2012 (Phase 2)Binary to Decimal Conversion
  10. 10The decimal number when converted to binary number takes the form :2012 (Phase 2)Decimal to Binary Conversion
  11. 11If , then what is equal to?2012 (Phase 2)Logarithm
  12. 12Let and a relation on set is given by the set . Then R is :2012 (Phase 2)Questions on Symmetric Transitive and Reflexive Properties
  13. 13The value of the sum where is :2012 (Phase 2)Algebra of complex numbers
  14. 14The sum of first 10 terms and 20 terms of an AP are 120 and 440 respectively. What is its first term?2012 (Phase 2)Arithmetic Progression
  15. 15The sum of first 10 terms and 20 terms of an AP are 120 and 440 respectively. What is the common difference?2012 (Phase 2)Arithmetic Progression
  16. 16The sum of first 10 terms and 20 terms of an AP are 120 and 440 respectively. If a non-empty set A contains elements, then its power set con2012 (Phase 2)Questions on number of relations and sets
  17. 17Let , the set of whole numbers and , , the set of natural numbers and and , then how many elements will contain?2012 (Phase 2)Questions on number of relations and sets
  18. 18What is the modulus of where ?2012 (Phase 2)Conjugate, modulus and argument
  19. 19What is the number of diagonals which can be drawn by joining the angular points of a polygon of 100 sides?2012 (Phase 2)Combination
  20. 20The angles of a triangle are in AP and the least angle is . What is the greatest angle (in radian)?2012 (Phase 2)Sine Rule and its application
  21. 21If each element in a row of a determinant is multiplied by the same factor , then the value of the determinant?2012 (Phase 2)Expansion of Determinants
  22. 22The inverse of a diagonal matrix is a :2012 (Phase 2)Inverse of a Matrix
  23. 23If and , then which one of the following is correct?2012 (Phase 2)Formation and Basic of Matrix
  24. 24If the sum of matrices and is the matrix , then what is the value of ?2012 (Phase 2)Basic Algebra of Matrices
  25. 25If the matrix AB is a zero matrix, then which one of the following is correct?2012 (Phase 2)Product of Matrices
  26. 26If the matrix is not invertible, then :2012 (Phase 2)Expansion of Determinants
  27. 27The value of the determinant is :2012 (Phase 2)Expansion of Determinants
  28. 28A square matrix such that for and where is a constant for is called :2012 (Phase 2)Types of Matrices
  29. 29What is the value of ?2012 (Phase 2)Sum and Difference & Multiple angle Formula
  30. 30If , where , how many values does take?2012 (Phase 2)Basic
  31. 31What is the value of equal to?2012 (Phase 2)Sum and Difference & Multiple angle Formula
  32. 32What is equal to?2012 (Phase 2)Sum and difference of angles
  33. 33If where , then what is equal to?2012 (Phase 2)Basic Identities & T Ratios
  34. 34What is equal to?2012 (Phase 2)Basic Identities & T Ratios
  35. 35Consider the following statements : 1. The value of is positive. 2. The value of is negative. Which of the above statements is/are correct?2012 (Phase 2)Basic Identities & T Ratios
  36. 36The line making an angle with -axis is situated in the :2012 (Phase 2)Coordinate System
  37. 37The angle subtended at the centre of a circle of radius 3 cm by an arc of length 1 cm is :2012 (Phase 2)Measurement of Angles
  38. 38If and where and are acute angles, then what is equal to?2012 (Phase 2)Sum and Difference & Multiple angle Formula
  39. 39The top of a hill observed from the top and bottom of a building of height is at angles of elevation and respectively. The height of the hil2012 (Phase 2)Heights and Distances
  40. 40From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is . The distance of the boat from the 2012 (Phase 2)Heights and Distances
  41. 41The locus of a point equidistant from three collinear points is :2012 (Phase 2)Locus
  42. 42The equation of the locus of a point which is always equidistant from the points and is :2012 (Phase 2)Locus
  43. 43The points and are :2012 (Phase 2)Point and Line
  44. 44What is the perpendicular distance between the parallel and ?2012 (Phase 2)Point and Line
  45. 45Let be the distances from origin of the points and respectively. Which one of the following is a whole number?2012 (Phase 2)Coordinate System
  46. 46From the point a perpendicular is dropped on the -axis as well as on the -axis. If the lengths of perpendiculars are respectively, then whic2012 (Phase 2)Coordinate System
  47. 47What is the value of if the straight line is parallel to -axis?2012 (Phase 2)Angle between Lines
  48. 48The line divides the line joining the points and in the ratio :2012 (Phase 2)Coordinate System
  49. 49The sum of the focal distances of a point on the ellipse is :2012 (Phase 2)Equation of Ellipse
  50. 50The eccentricity of an ellipse satisfies the condition:2012 (Phase 2)Equation of Ellipse
  51. 51The equation of a straight line which makes an angle with the -axis with -intercept 101 units is :2012 (Phase 2)Basic Forms of Straight Line
  52. 52If the points and are the vertices of an equilateral triangle, then what is the value of ?2012 (Phase 2)Coordinate System
  53. 53If the distance between the point and is 13 units, then what is one of the values of ?2012 (Phase 2)Basics of point in 3 dimension
  54. 54If a line OP of length (where ' ' is the origin) makes an angle with -axis and lies in the -plane, then what are the coordinates of P ?2012 (Phase 2)Basics of point in 3 dimension
  55. 55What is the distance of the point from plane is :2012 (Phase 2)Basics of point in 3 dimension
  56. 56What are the direction cosines of a line which is equally inclined to the positive directions of the axes?2012 (Phase 2)Direction Cosines and Direction Ratios
  57. 57What is the angle between the lines and ?2012 (Phase 2)Line in Space
  58. 58What is the equation to the plane through parallel to ?2012 (Phase 2)Plane in Space
  59. 59What are the direction ratios of the line of intersection of the planes and ?2012 (Phase 2)Direction Cosines and Direction Ratios
  60. 60What is the equation to the straight line passing through and parallel to -axis?2012 (Phase 2)Line in Space
  61. 61What is equal to?2012 (Phase 2)Algebraic and Rational Limits
  62. 62What is equal to?2012 (Phase 2)Algebraic and Rational Limits
  63. 63Consider the following: 1. exists. 2. does not exist. Which of the above is/are correct?2012 (Phase 2)Existance of Limit
  64. 64If such that , then what should be the value of ?2012 (Phase 2)Differentiation of implicit functions
  65. 65Which one of the following is correct in respect of the function for and ?2012 (Phase 2)Continuity
  66. 66What is equal to?2012 (Phase 2)Algebraic and Rational Limits
  67. 67The radius of a circle is uniformly increasing at the rate of . What is the rate of increase in area, when the radius is 10 cm ?2012 (Phase 2)Rate Measure Error and Approximation
  68. 68Let be a function whose inverse is . What is equal to?2012 (Phase 2)Inverse of a Function
  69. 69Consider the following statements : 1. If , then . 2. If , then . Which of the above is/are correct?2012 (Phase 2)Differentiation of composite functions
  70. 70If , then what is the derivative of ?2012 (Phase 2)Differentiation of composite functions
  71. 71The function is an increasing function for:2012 (Phase 2)Monotonicity
  72. 72Consider the following statements: 1. If and then . 2. Identity function is not always a bijection. Which of the above statements is/are cor2012 (Phase 2)Identical Functions
  73. 73Let . A function is defined by . Which one of the following is correct?2012 (Phase 2)Inverse of a Function
  74. 74If , then what is at equal to?2012 (Phase 2)Differentiation of composite functions
  75. 75What is the minimum value of ?2012 (Phase 2)Inequalities
  76. 76What is equal to?2012 (Phase 2)Integration by Substitution
  77. 77What is equal to?2012 (Phase 2)Properties of Definite Integration
  78. 78What is equal to?2012 (Phase 2)Definite Integration by Substitution
  79. 79What is equal to?2012 (Phase 2)Properties of Definite Integration
  80. 80What is the area of the portion of the curve , lying between and ?2012 (Phase 2)Area of Curve along axis
  81. 81What is equal to?2012 (Phase 2)Integration by Substitution
  82. 82What is the area of the region bounded by the lines and ?2012 (Phase 2)Area of Curve along axis
  83. 83What is equal to?2012 (Phase 2)Integration by Substitution
  84. 84What is the degree of the differential equation ?2012 (Phase 2)Order and Degree
  85. 85Consider a differential equation of order and degree . Which one of the following pairs is not feasible?2012 (Phase 2)Order and Degree
  86. 86The differential equation representing the family of curves is :2012 (Phase 2)Formation of Differential Equation
  87. 87The differential equation where ' ' is any constant represents :2012 (Phase 2)Applications of DE
  88. 88For the differential equation , which one of the following is not its solution?2012 (Phase 2)Order and Degree
  89. 89What is the general solution of the differential equation ?2012 (Phase 2)Variable Separable Form
  90. 90What is the general solution of the differential equation ?2012 (Phase 2)Variable Separable Form
  91. 91EFGH is a rhombus such that the angle EFG is . The magnitude of vectors and are equal where is a scalar. What is the value of ?2012 (Phase 2)Algebra of Vectors
  92. 92If and then which one of the following is correct?2012 (Phase 2)Product of 2 vectors
  93. 93The vectors is coplanar with :2012 (Phase 2)Vector Triple Product
  94. 94Consider the following : 1. 2. Which of the above is/are correct?2012 (Phase 2)Product of 2 vectors
  95. 95What is the value of for which2012 (Phase 2)Product of 2 vectors
  96. 96The magnitude of the scalar for which the vector is of unit length is :2012 (Phase 2)Algebra of Vectors
  97. 97The vector lies:2012 (Phase 2)Algebra of Vectors
  98. 98ABCD is a parallelogram. If , then what is equal to?2012 (Phase 2)Algebra of Vectors
  99. 99What is the geometric mean of the sequence , .........., ?2012 (Phase 2)Geometric Progression
  100. 100The mean of 10 observations is 5 . If 2 is added to each observation and then multiplied by 3 , then what will be the new mean?2012 (Phase 2)Mean
  101. 101What is the mean of first odd natural numbers?2012 (Phase 2)Arithmetic Progression
  102. 102The arithmetic mean of numbers is M What is the value of ?2012 (Phase 2)Mean
  103. 103The algebraic sum of the deviations of 20 observations measured from 30 is 2 . What would be the mean of the observations?2012 (Phase 2)Mean
  104. 104The median of 27 observations of a variable is 18 Three more observations are made and the values of these observations are 16,18 and 50 . W2012 (Phase 2)Median
  105. 105Frequency curve may be :2012 (Phase 2)Statistics
  106. 106The monthly family expenditure (in percentage) on different items are as follows : If the total monthly expenditure is , then what is the ex2012 (Phase 2)Ratio and Proportion
  107. 107If the mean of few observations is 40 and standard deviation is 8 , then what is the coefficient of variation?2012 (Phase 2)Measures of Dispersion
  108. 108What is the standard deviation of ?2012 (Phase 2)Measures of Dispersion
  109. 109Which of one of the following is a measure of dispersion?2012 (Phase 2)Measures of Dispersion
  110. 110Let X and Y be two related variables. The two regression lines are given by and . The two regression lines pass through the point :2012 (Phase 2)Point and Line
  111. 111If denotes the probability of an event , then is called certain event if :2012 (Phase 2)Classical Definition of Probability
  112. 112What is the probability that a leap year selected at random will contain 53 Mondays?2012 (Phase 2)Classical Definition of Probability
  113. 113If A and B are two events such that , where is the complement of , then what is equal to?2012 (Phase 2)Addition and Subtraction Theorems
  114. 114Three coins are tossed simultaneously. What is the probability that they will fall two heads and one tail?2012 (Phase 2)Classical Definition of Probability
  115. 115Which one of the following is correct?2012 (Phase 2)Classical Definition of Probability
  116. 116What is the most probably number of successes in 10 trials with probability of success ?2012 (Phase 2)Bernoulli Trial and Binomial Distribution
  117. 117An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each2012 (Phase 2)Classical Definition of Probability
  118. 118An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each2012 (Phase 2)Addition and Subtraction Theorems
  119. 119The dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by A: even number on the first die B: number on the 2012 (Phase 2)Addition and Subtraction Theorems
  120. 120The dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by A: even number on the first die B: number on the 2012 (Phase 2)Conditional Probability and Multiplication Theorem

Frequently Asked Questions

1.How many questions are in the NDA 2012 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 2012 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2012.

4.How is the NDA 2012 Phase 2 paper structured?

The NDA 2012 Phase 2 paper on MARKS has 270 questions, organised by subject:

  • General Ability: 150 questions - 150 single-correct.
  • Mathematics: 120 questions - 120 single-correct.
5.How difficult is the NDA 2012 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 178 (66%) are easy, 92 (34%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 118 easy, 32 medium, 0 hard
  • Mathematics: 60 easy, 60 medium, 0 hard
6.Which chapters were asked the most in the NDA 2012 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: Straight Lines (12), Probability (10), and Statistics (8).
7.Where can I find the solutions for the NDA 2012 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 2012 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 2012 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.