Jump to a section

NDA 2012 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2012 Phase 1 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 - 172 easy (64%), 98 moderate (36%) 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 43% easy, 57% moderate, 0% tough; General Ability 80% easy, 20% moderate, 0% tough.

General Ability questions were entirely from General Science (52), English (49), and General Studies (49). Mathematics questions were spread across 29 chapters, with Trigonometric Ratios & Identities (18), Sets and Relations (11), and Matrices (8) carrying the most weight.

General Ability

  1. 1Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  2. 2Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  3. 3Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  4. 4Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  5. 5Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  6. 6Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  7. 7Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  8. 8Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  9. 9Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  10. 10Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2012 (Phase 1)Spotting The Errors
  11. 11Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. The convict's INGENUOUS explanati2012 (Phase 1)Synonyms
  12. 12Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. The ENORMITY of the population pr2012 (Phase 1)Synonyms
  13. 13Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. EXAGGERATION of facts would alway2012 (Phase 1)Synonyms
  14. 14Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. After his father's death, he beca2012 (Phase 1)Synonyms
  15. 15Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. He INDUCES human beings to want t2012 (Phase 1)Synonyms
  16. 16Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. His information is not AUTHENTIC.2012 (Phase 1)Synonyms
  17. 17Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. He is not CUT OUT to be a teacher2012 (Phase 1)Idioms and Phrases
  18. 18Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. The Chief Minister REPRIMANDED th2012 (Phase 1)Synonyms
  19. 19Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. Sin is the sole calamity that a w2012 (Phase 1)Synonyms
  20. 20Select the synonym of the word or words (occurring in the sentence in capital letters) as per the context. We must be proud of our cultural 2012 (Phase 1)Synonyms
  21. 21Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The COMPLAINANT was not supportive of prov2012 (Phase 1)Antonyms
  22. 22Select the antonym of the word (occurring in the sentence in capital letters) as per the context. Living in a SOLITARY place brings in some 2012 (Phase 1)Antonyms
  23. 23Select the antonym of the word (occurring in the sentence in capital letters) as per the context. They spent a DISTURBED night after hearing2012 (Phase 1)Antonyms
  24. 24Select the antonym of the word (occurring in the sentence in capital letters) as per the context. We have CREATED a beautiful new house from2012 (Phase 1)Antonyms
  25. 25Select the antonym of the word (occurring in the sentence in capital letters) as per the context. A large number of designer clothes are REV2012 (Phase 1)Antonyms
  26. 26Select the antonym of the word (occurring in the sentence in capital letters) as per the context. Though they are twins, they look very DIFF2012 (Phase 1)Antonyms
  27. 27Select the antonym of the word (occurring in the sentence in capital letters) as per the context. RECESSION is a major cause of unemployment2012 (Phase 1)Antonyms
  28. 28Select the antonym of the word (occurring in the sentence in capital letters) as per the context. He finally CONCEDED that he was involved i2012 (Phase 1)Antonyms
  29. 29Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The accused emphatically DENIED the charge2012 (Phase 1)Antonyms
  30. 30Select the antonym of the word (occurring in the sentence in capital letters) as per the context. This cloth is a COARSE of touch.2012 (Phase 1)Antonyms
  31. 31Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Jumbled Sentences & Paragraphs
  32. 32Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Jumbled Sentences & Paragraphs
  33. 33Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  34. 34Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  35. 35Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  36. 36Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Jumbled Sentences & Paragraphs
  37. 37Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Jumbled Sentences & Paragraphs
  38. 38Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  39. 39Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  40. 40Rearrange these parts which are labelled and to produce the correct sentence. Choose the proper sequence and mark in your Answer Sheet accor2012 (Phase 1)Sentence Improvement
  41. 41Carefully read the given passage and answer the questions that follow. Even in the most primitive societies, the great majority of people sa2012 (Phase 1)Comprehension Ability
  42. 42Carefully read the given passage and answer the questions that follow. Even in the most primitive societies, the great majority of people sa2012 (Phase 1)Comprehension Ability
  43. 43Carefully read the given passage and answer the questions that follow. Even in the most primitive societies, the great majority of people sa2012 (Phase 1)Comprehension Ability
  44. 44Carefully read the given passage and answer the questions that follow. Even in the most primitive societies, the great majority of people sa2012 (Phase 1)Economy
  45. 45Carefully read the given passage and answer the questions that follow. What interests many people is the possibility of finding an Earth-lik2012 (Phase 1)Comprehension Ability
  46. 46Carefully read the given passage and answer the questions that follow. What interests many people is the possibility of finding an Earth-lik2012 (Phase 1)Comprehension Ability
  47. 47Carefully read the given passage and answer the questions that follow. What interests many people is the possibility of finding an Earth-lik2012 (Phase 1)Comprehension Ability
  48. 48Carefully read the given passage and answer the questions that follow. "The doctor's coming in a minute, Inspector", said Miss Smith. "Yes, 2012 (Phase 1)Comprehension Ability
  49. 49Carefully read the given passage and answer the questions that follow. "The doctor's coming in a minute, Inspector", said Miss Smith. "Yes, 2012 (Phase 1)Comprehension Ability
  50. 50Carefully read the given passage and answer the questions that follow. "The doctor's coming in a minute, Inspector", said Miss Smith. "Yes, 2012 (Phase 1)Comprehension Ability
  51. 51Statement I : In the year 1946, the Council of the Muslim League accepted the Cabinet Mission Plan. Statement II : The Muslim League propose2012 (Phase 1)History
  52. 52Statement I : The blue colour of copper sulphate crystal disappears when it is heated strongly. Statement II : Due to heating, water of crys2012 (Phase 1)Chemistry
  53. 53Statement I : After cutting an apple or a banana, the colour of the cut surface becomes brown. Statement II : Polyphenolic compounds present2012 (Phase 1)Chemistry
  54. 54Statement I : At high temperature, hyd-rogen can reduce PbO to elemental lead. Statement II : Hydrogen has great affinity to oxygen.2012 (Phase 1)Chemistry
  55. 55Statement I : Conversion of blue copper sulphate to black cupric oxide on heating is a physical change. Statement II : A change in which che2012 (Phase 1)Chemistry
  56. 56Statement I : Water is a high boiling point liquid. Statement II : Hydrogen bonding in water is responsible for high boiling point of water.2012 (Phase 1)Chemistry
  57. 57Statement I : Convex mirror is used as a driver mirror. Statement II : Images formed by convex mirror are diminished in size.2012 (Phase 1)Physics
  58. 58Statement I : A thermos flask is made of doublewalled glass bottles. Statement II : Metals are good conductors while gas and air are poor co2012 (Phase 1)Physics
  59. 59Statement I : Bats can catch their prey in the darkness of night. Statement II : Bats can produce and also detect ultrasound.2012 (Phase 1)Physics
  60. 60The Indian Standard Time (IST) is based on2012 (Phase 1)Geography
  61. 61Collision-coalescence process of precipitation is applicable to2012 (Phase 1)Geography
  62. 62Match List-I with List-II and select the correct answer using the codes given below the Lists:2012 (Phase 1)Geography
  63. 63Which one among the following nutrients is a structural component of the cell wall of plants?2012 (Phase 1)Biology
  64. 64Balanced diet should have approximately2012 (Phase 1)Chemistry
  65. 65Which one among the following statements is correct?2012 (Phase 1)Biology
  66. 66What are the cold-blooded animals?2012 (Phase 1)Biology
  67. 67Sickle-cell anaemia is a disease caused due to the abnormality in2012 (Phase 1)Biology
  68. 68Carbohydrates are stored in plants and animals in the form of2012 (Phase 1)Chemistry
  69. 69Which of the following statements regarding oxidation and reduction are correct? 1. In oxidation, loss of electron takes place whereas in re2012 (Phase 1)Chemistry
  70. 70Which one among the following is correct regarding , and ?2012 (Phase 1)Chemistry
  71. 71Which of the following pairs is/are correctly matched? 1. Isotopes: Atoms with same atomic number but different atomic mass 2. Isobars : Ato2012 (Phase 1)Chemistry
  72. 72Sometimes, indigestion is caused by the secretion of too much hydrochloric acid in the stomach. To ease the pain caused, a tablet can be tak2012 (Phase 1)Chemistry
  73. 73Muhammad bin Tughlaq's experiment of introducing token currency could not succeed on account of2012 (Phase 1)History
  74. 74The Parliament can legislate on the subjects in the State List if the2012 (Phase 1)Polity
  75. 75The writ of certiorari is issued by a superior court to2012 (Phase 1)Polity
  76. 76Schemes run under the National Rural Employment Guarantee Act are sponsored2012 (Phase 1)Polity
  77. 77The World Bank was created immediately after the Second World War. Its activities are focused on the developing countries. Which among the f2012 (Phase 1)Economy
  78. 78A refracting telescope consists of2012 (Phase 1)Physics
  79. 79The nucleus of a singly ionized carbon atom contains2012 (Phase 1)Chemistry
  80. 80Two similarly charged bodies are kept 5 cm apart in air. If the second body is shifted away from the first by another 5 cm , their force of 2012 (Phase 1)Physics
  81. 81A glass of water does not turn into ice as it reaches . It is because2012 (Phase 1)Physics
  82. 82The main power supply in India is at 220 V , whereas that in the US is at 110 V . Which one among the following statements in this regard is2012 (Phase 1)Physics
  83. 83The equatorial rain forest is also known as2012 (Phase 1)Geography
  84. 84Match List-I with List-II and select the correct answer using the code given below the Lists:2012 (Phase 1)Geography
  85. 85The Earth's surface receives maximum energy at 12 noon but the maximum temperature never occurs at 12 noon. State which of the following rea2012 (Phase 1)Geography
  86. 86Certain parts of a plant can be bent easily without breaking. This flexibility in certain parts, like leaf and stem, can be attributed to th2012 (Phase 1)Biology
  87. 87Which of the following is not a micronutrient for a plant?2012 (Phase 1)Biology
  88. 88Which of the following statements is/are correct? 1. Ligaments are highly flexible. 2. Ligaments connect muscles and bones. 3. Ligaments con2012 (Phase 1)Biology
  89. 89Cell membrane is selectively permeable because2012 (Phase 1)Biology
  90. 90The following equation is an example of a redox reaction, in which is the oxidising agent and is the reducing agent: Which one among the fol2012 (Phase 1)Chemistry
  91. 91Which one among the following nitrogen compounds has the least percentage of nitrogen by mass?2012 (Phase 1)Chemistry
  92. 92Which one among the following is the correct order of amount of lime , silica , alumina and ferric oxide in Portland cement?2012 (Phase 1)Chemistry
  93. 93Which one among the following transitions of electron of hydrogen atom emits radiation of the shortest wavelength?2012 (Phase 1)Physics
  94. 94Which one among the following is the most appropriate statement with respect to the atomic weight of an element?2012 (Phase 1)Chemistry
  95. 95During the discussion on the Demands for Grants, motions can be moved to reduce the amount of a demand. Such a motion is called a 'cut-motio2012 (Phase 1)Polity
  96. 96Which of the statements given below is/are correct? 1. The Speaker immediately vacates his/her office whenever the State Legislative Assembl2012 (Phase 1)Polity
  97. 97Consider the following statements about Cripps Proposals of 1942 : 1. Provision was to be made for participation of Indian States in the Con2012 (Phase 1)History
  98. 98Which one among the following was not one of the causes of the Third Anglo-Maratha War?2012 (Phase 1)History
  99. 99William Bentinck attempted to reform Hindu society by suppressing/abolishing social evils. Which one among the following was not included in2012 (Phase 1)History
  100. 100Karam is a festival celebrated to worship Karam Devta, the God of power. Which one among the following tribal communities in India tradition2012 (Phase 1)General Knowledge
  101. 101The terra-cotta plough of the Harappan civilization was found at2012 (Phase 1)History
  102. 102Which one among the following works of Mahatma Gandhi provides a critique of modern machine-oriented civilization?2012 (Phase 1)History
  103. 103An object is in uniform circular motion on a plane. Suppose that you measure its displacement from the centre along one direction, say, alon2012 (Phase 1)Physics
  104. 104The penetrating power of X-rays can be increased by2012 (Phase 1)Physics
  105. 105The graph given above indicates change in temperature when heat was given to a substance. Which among the following parts of the graph corre2012 (Phase 1)Physics
  106. 106When a solid object is immersed in water, there is a loss in its weight. This loss is2012 (Phase 1)Physics
  107. 107Body of mass 2 kg and another body of mass 4 kg and of same material are kept in the same sunshine for some interval of time. If the rise in2012 (Phase 1)Physics
  108. 108For a steel boat floating on a lake, the weight of the water displaced by the boat is2012 (Phase 1)Physics
  109. 109Consider the following coal mines of India: 1. Bokaro 2. Adilabad 3. Raniganj 4. Bishrampur Select the correct sequence of the above from ea2012 (Phase 1)Geography
  110. 110Which one among the following agricultural crops/ groups of crops may be grown in abundant in lowlands and river deltas of fertile alluvial 2012 (Phase 1)Geography
  111. 111Arrange the following tropical forest groups in the correct order of sequence based on area covered in India beginning from the largest cove2012 (Phase 1)Geography
  112. 112Which one among the following is the major reason for low agricultural productivity in dry regions of India?2012 (Phase 1)Geography
  113. 113Which one among the following groups is referred to as types of precipitation?2012 (Phase 1)Geography
  114. 114Which one among the following is the most important source of fish catch in India?2012 (Phase 1)Biology
  115. 115In which one among the following areas of South-East Asia, there is largest concentration of peasant population?2012 (Phase 1)Geography
  116. 116The largest number of temperate cyclones originate mostly over the2012 (Phase 1)Geography
  117. 117Which one among the following statements is not correct?2012 (Phase 1)Biology
  118. 118Which one among the following statements regarding Chinook winds is not correct?2012 (Phase 1)Geography
  119. 119Consider the following statements relating to planning in India: 1. In the year 1938, the National Planning Committee was set up in India un2012 (Phase 1)Economy
  120. 120Which one among the following statements regarding the Government of India Act, 1935 is not correct?2012 (Phase 1)History
  121. 121Consider the following statements relating to Jain literature: 1. The sacred books of the Jainas are known as Siddhanta or Agama. 2. The lan2012 (Phase 1)History
  122. 122Which one among the following was a newspaper founded and edited by Raja Rammohan Roy?2012 (Phase 1)History
  123. 123Which one among the following is not produced by sound waves in air?2012 (Phase 1)Physics
  124. 124A body attached to a spring balance weighs 10 kg on the Earth. The body attached to the same spring balance is taken to a planet where gravi2012 (Phase 1)Physics
  125. 125The resistance of a wire is . If it is stretched ten times, the resistance will be2012 (Phase 1)Physics
  126. 126If the focal length of the biconvex lens is 25 cm , then the power of the lens will be2012 (Phase 1)Physics
  127. 127A compound slab is composed of two paralled layers of different materials, with thickness 3 cm and 2 cm . The temperatures of the outer face2012 (Phase 1)Physics
  128. 128The torque on a rectangular coil placed in a uniform magnetic field is large when the2012 (Phase 1)Physics
  129. 129Two metallic wires and are of same material and have equal length. If the cross-sectional area of is double that of , then which one among t2012 (Phase 1)Physics
  130. 130Two thin lenses of focal lengths 20 cm and 25 cm are placed in contact. The effection power of the combination is:2012 (Phase 1)Physics
  131. 131The Damuda series of Gondwana system has three stages, namely, Raniganj, Barren Rocks and Barakar. The middle stage is called Barren because2012 (Phase 1)Geography
  132. 132The cyclonic storm occurring over the Caribbean Sea is known as2012 (Phase 1)Geography
  133. 133Match List-I with List-II and select the correct answer using the code given below the Lists:2012 (Phase 1)Geography
  134. 134Where do you find the Isle of Youth?2012 (Phase 1)Geography
  135. 135For which among the following house appliances, magnet is an essential part?2012 (Phase 1)Physics
  136. 136Consider the following statements: Hypermetropia is a defect of vision in which 1. a person cannot see the distant objects clearly 2. a pers2012 (Phase 1)Physics
  137. 137To obtain the powerful parallel beams of light from a vehicle's headlight, one must use2012 (Phase 1)Physics
  138. 138Which one among the following is the major constituent of soda lime glass?2012 (Phase 1)Chemistry
  139. 139Which among the following about Mahatma Gandhi's Non-Cooperation Movement are correct? 1. Refusal to attend Government Durbars and official 2012 (Phase 1)History
  140. 140Gandhiji's call for breaking Salt Laws was in response to the2012 (Phase 1)History
  141. 141The Suez Canal, the Strait of Hormuz and the Strait of Gibraltar are important because they2012 (Phase 1)Geography
  142. 142Which one among the following is the largest exporter of small arms in the world?2012 (Phase 1)General Knowledge
  143. 143Which among the following islands in the South China Sea are the source of conflict between several countries?2012 (Phase 1)History
  144. 144In recent past, the Indian Navy has deployed its fleet ships to patrol near the Gulf of Aden to2012 (Phase 1)General Knowledge
  145. 145The only operational Naval Base exclusively controlled by the Indian Navy is located at2012 (Phase 1)General Knowledge
  146. 146Who among the following led India to their first overseas test victory in cricket?2012 (Phase 1)General Knowledge
  147. 147Who among the following was conferred the highest Bangladesh award-the Bangladesh Swadhinata Sammanona in the year 2011?2012 (Phase 1)General Knowledge
  148. 148Dhanush, a missile inducted into the Indian Navy2012 (Phase 1)General Knowledge
  149. 149India commissioned its first indigenously built stealth warship INS Shivalik and inducted into the Indian Navy recently, thus joining the el2012 (Phase 1)General Knowledge
  150. 150Which of the following statements is/are correct? 1. The Indian Army is organized into five Regional Commands. 2. The Headquarters of Northe2012 (Phase 1)General Knowledge

Mathematics

  1. 1What is the sum of the squares of the roots of the equation ?2012 (Phase 1)Relation between Roots and Coefficients
  2. 2Let be the universal set, N being the set of natural numbers. If and then what is the complement of B)?2012 (Phase 1)Questions on Venn Diagram
  3. 3The solution of the simultaneous linear equations and will also be satisfied by which one of the following linear equations?2012 (Phase 1)System of Linear Equations
  4. 4Let is a square of a natural number and is less than 100 and B is a set of even natural numbers. What is the cardinality of ?2012 (Phase 1)Questions on number of relations and sets
  5. 5If and then what is determinant of ?2012 (Phase 1)Product of Matrices
  6. 6What is equal to?2012 (Phase 1)Expansion of Determinants
  7. 7What is the distance between the lines and2012 (Phase 1)Point and Line
  8. 8The number 292 in decimal system is expressed in binary system by2012 (Phase 1)Decimal to Binary Conversion
  9. 9What is the arithmetic mean of first 16 natural numbers with weights being the number itself?2012 (Phase 1)Means
  10. 10What is the mode for the data , , 24,25 ?2012 (Phase 1)Mode
  11. 11A and B are two matrices such that and then what is equal to? where I is the identity matrix2012 (Phase 1)Product of Matrices
  12. 12The geometric mean and harmonic mean of two nonnegative observations are 10 and 8 respectively. Then what is the arithmetic mean of the obse2012 (Phase 1)Means
  13. 13Consider the following statements: 1. A continuous variable can take all values in an interval. 2. A random variable which takes a finite nu2012 (Phase 1)Statistics
  14. 14What is the term of the sequence , ?2012 (Phase 1)Arithmetic Progression
  15. 15What does the series represent?2012 (Phase 1)Geometric Progression
  16. 16If are in AP as well as GP, then which one of the following is correct?2012 (Phase 1)Arithmetic Progression
  17. 17What is the perimeter of the triangle with vertices and ?2012 (Phase 1)Coordinate System
  18. 18If the mid point between the points and lies on the line , what is equal to?2012 (Phase 1)Coordinate System
  19. 19The acute angle which the perpendicular from origin on the line makes with the -axis is2012 (Phase 1)Point and Line
  20. 20Out of 500 first year students, 260 passed in the first semester and 210 passed in the second semester. If 170 did not pass in either semest2012 (Phase 1)Questions on Venn Diagram
  21. 21If a matrix A has inverses B and C , then which one of the following is correct?2012 (Phase 1)Inverse of a Matrix
  22. 22Three dice are thrown. What is the probability that the same number will appear on each of them?2012 (Phase 1)Classical Definition of Probability
  23. 23For the next Two (2) questions that follow: The equation formed by multiplying each root of by 2 is . The equation formed by multiplying eac2012 (Phase 1)Relation between Roots and Coefficients
  24. 24The equation formed by multiplying each root of by 2 is . Which one of the following is correct?2012 (Phase 1)Relation between Roots and Coefficients
  25. 25Let and , where . What is the value A?2012 (Phase 1)Sum and Difference & Multiple angle Formula
  26. 26Let and , where . What is equal to?2012 (Phase 1)Sum and Difference & Multiple angle Formula
  27. 27Let and , where . What is equal to?2012 (Phase 1)Sum and Difference & Multiple angle Formula
  28. 28If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity?2012 (Phase 1)Equation of Ellipse
  29. 29What is the probability that a leap year selected random contains 53 Mondays?2012 (Phase 1)Classical Definition of Probability
  30. 30What is the decimal number representation of the binary number ?2012 (Phase 1)Binary to Decimal Conversion
  31. 31What is the equation of line passing through and making an angle with the -axis equal to the inclination of the line with -axis?2012 (Phase 1)Basic Forms of Straight Line
  32. 32What is equal to?2012 (Phase 1)Sum and Difference & Multiple angle Formula
  33. 33If , then what is the value of ?2012 (Phase 1)Basic Identities & T Ratios
  34. 34Two poles are 10 m and 20 m high. The line joining their tips makes an angle of with the horizontal. What is the distance between the poles?2012 (Phase 1)Heights and Distances
  35. 35The angle of elevation of a tower at a level ground is . The angle of elevation becomes when moved 10 m towards the tower. If the height of 2012 (Phase 1)Heights and Distances
  36. 36In a triangle ABC if the angles are in AP , then which one of the following is correct?2012 (Phase 1)Cosine Rule and Projection Formula
  37. 37If , then what is equal to?2012 (Phase 1)Sum and difference of angles
  38. 38If where , then what is the value of ?2012 (Phase 1)Basic Identities & T Ratios
  39. 39From the top of a building of height metre, the angle of depression of an object on the ground is . What is the distance (in metre) of the o2012 (Phase 1)Heights and Distances
  40. 40If are two angles of a triangle, then what is the third angle?2012 (Phase 1)Sum and difference of angles
  41. 41What is the maximum value of2012 (Phase 1)Sum and Difference & Multiple angle Formula
  42. 42What is equal to?2012 (Phase 1)Basic Identities & T Ratios
  43. 43What is the value of ?2012 (Phase 1)T inverse T property
  44. 44Which one of the following is positive in the third quadrant?2012 (Phase 1)Basic Identities & T Ratios
  45. 45What is the value of ?2012 (Phase 1)Basic Identities & T Ratios
  46. 46The angle of elevation of the tip of a flag staff from a point 10 m due South of its base in . What is the height of the flag staff correct 2012 (Phase 1)Heights and Distances
  47. 47What is equal to?2012 (Phase 1)Basic Identities & T Ratios
  48. 48If , then what is the value of ?2012 (Phase 1)Basic Identities & T Ratios
  49. 49What is the value of2012 (Phase 1)T inverse T property
  50. 50What is the angle subtended by 1 m pole at a distance 1 km on the ground in sexagesimal measure?2012 (Phase 1)Measurement of Angles
  51. 51If , then what is the value of ?2012 (Phase 1)Sum and Difference & Multiple angle Formula
  52. 52Consider the following statements: 1. Every zero matrix is a square matrix. 2. A matrix has a numerical value. 3. A unit matrix is a diagona2012 (Phase 1)Types of Matrices
  53. 53If the sequence is a geometric progression and , then what is the value of ?2012 (Phase 1)Geometric Progression
  54. 54In the expansion of , what is the sum of even binomial coefficients?2012 (Phase 1)Properties of Binomial Coefficients
  55. 55The value of the term independent of in the expansion of is2012 (Phase 1)Terms of Binomial Expansion
  56. 56What is the number of ways that 4 boys and 3 girls can be seated so that boys and girls alternate?2012 (Phase 1)Arrangement under Constraint
  57. 57If the difference between the roots of is 1 , then which one of the following is correct?2012 (Phase 1)Relation between Roots and Coefficients
  58. 58If one of the roots of the equation is 1 , then what is equal to?2012 (Phase 1)Relation between Roots and Coefficients
  59. 59If and are the roots of the equation , then what is equal to?2012 (Phase 1)Relation between Roots and Coefficients
  60. 60If are in HP, then what is the value of ?2012 (Phase 1)Harmonic Progression
  61. 61If , then may be of the form: where are constants2012 (Phase 1)Functional Equation
  62. 62If where , then what is the value of A ?2012 (Phase 1)Algebra of complex numbers
  63. 63If , then which one of the following is correct?2012 (Phase 1)Conjugate, modulus and argument
  64. 64If A and B are two non-empty sets having elements in common, then what is the number of common elements in the sets and ?2012 (Phase 1)Questions on number of relations and sets
  65. 65If A and B are any two sets, then what is equal to?2012 (Phase 1)Questions on Venn Diagram
  66. 66What is the cosine of angle between the planes and ?2012 (Phase 1)Plane in Space
  67. 67If and , then what is equal to?2012 (Phase 1)Inverse of a Matrix
  68. 68Which one of the following functions is differentiable for all real values of ?2012 (Phase 1)Differentiability
  69. 69Which of the following differential equations is not linear?2012 (Phase 1)Linear Differential Equation
  70. 70What is the sum of the squares of direction cosines of the line joining the points and ?2012 (Phase 1)Direction Cosines and Direction Ratios
  71. 71What is the diameter of the sphere2012 (Phase 1)Sphere
  72. 72What is the slope of the tangent to the curve at2012 (Phase 1)Tangent Normal
  73. 73Which one of the following statements is correct?2012 (Phase 1)Monotonicity
  74. 74If and , then what is equal to?2012 (Phase 1)Parametric differentiation
  75. 75What is equal to?2012 (Phase 1)Integration by Substitution
  76. 76If and there exists a point in the interval such that , then what is the value of ?2012 (Phase 1)Monotonicity
  77. 77If , then what is the value of2012 (Phase 1)Expansion of Determinants
  78. 78What is the order of the product2012 (Phase 1)Product of Matrices
  79. 79What is equal to?2012 (Phase 1)Properties of Definite Integration
  80. 80The area bounded by the curve , the -axis and the two lines and is equal to:2012 (Phase 1)Area of Curve along axis
  81. 81If , then what is equal to?2012 (Phase 1)Differentiation of composite functions
  82. 82Which one of the following statement is correct?2012 (Phase 1)Differentiability
  83. 83Consider the following: 1. 2. where is the constant of integration. Which of the above is/are correct?2012 (Phase 1)Fundamental of Indefinite Integration
  84. 84How many tangents are parallel to -axis for the curve ?2012 (Phase 1)Tangent Normal
  85. 85What is equal to?2012 (Phase 1)Miscellaneous
  86. 86What is equal to?2012 (Phase 1)Algebraic and Rational Limits
  87. 87What is the solution of the differential equation ? where is a constant.2012 (Phase 1)Variable Separable Form
  88. 88What is the degree of the differential equation2012 (Phase 1)Order and Degree
  89. 89What is equal to?2012 (Phase 1)Definite Integration by Substitution
  90. 90What is the rate of change of with respect to at ?2012 (Phase 1)Rate Measure Error and Approximation
  91. 91If , then wha is the unit vector parallel to in the opposite direction?2012 (Phase 1)Algebra of Vectors
  92. 92If the magnitudes of two vectors and are equal then which one of the following is correct?2012 (Phase 1)Product of 2 vectors
  93. 93Consider the following in respect of the function 1. is continuous at 2. is differentiable at . Which of the above statements is/are correct2012 (Phase 1)Differentiability
  94. 94If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?2012 (Phase 1)Classical Definition of Probability
  95. 95Let be the origin and be the points such that . Then which one of the following is correct?2012 (Phase 1)Algebra of Vectors
  96. 96What is the value of ?2012 (Phase 1)Logarithm
  97. 97What is the value of if the vectors , and are coplanar?2012 (Phase 1)Algebra of Vectors
  98. 98If and , then what is the value of ?2012 (Phase 1)Product of 2 vectors
  99. 99If the vectors and are orthogonal to each other, then what is the locus of the point ?2012 (Phase 1)Product of 2 vectors
  100. 100If is a square matrix such that where is the identity matrix, then what is equal to?2012 (Phase 1)Inverse of a Matrix
  101. 101What is the eccentricity of the conic ?2012 (Phase 1)Equation of Ellipse
  102. 102If two rows of a determinant are identical, then what is the value of the determinant?2012 (Phase 1)Expansion of Determinants
  103. 103If and , then what is equal to?2012 (Phase 1)Questions on number of relations and sets
  104. 104What is the perpendicular distance of the point from -axis?2012 (Phase 1)Point and Line
  105. 105If is a cyclic quadrilateral then what is equal to?2012 (Phase 1)Basic Identities & T Ratios
  106. 106What is the value of2012 (Phase 1)Basic Identities & T Ratios
  107. 107Consider the following statements: 1. in radian measure is less than 0.02 radians. 2. 1 radian in degree measure is greater than . Which of 2012 (Phase 1)Measurement of Angles
  108. 108What is the maximum value of ?2012 (Phase 1)Maximum and Minimum Values
  109. 109The sum and product of matrices A and B exist. Which of the following implications are necessarily true? 1. A and B are square matrices of s2012 (Phase 1)Product of Matrices
  110. 110What is the area of the rectangle having vertices , C and D with position vectors , and ?2012 (Phase 1)Algebra of Vectors
  111. 111The set can also be represented by:2012 (Phase 1)Questions on number of relations and sets
  112. 112If a line makes the angles with the axes, then what is the value of equal to?2012 (Phase 1)Direction Cosines and Direction Ratios
  113. 113What is the sum of the series equal to?2012 (Phase 1)Geometric Progression
  114. 114Consider the following statements: 1. Two independent variables are always uncorrelated. 2. The coefficient of correlation between two varia2012 (Phase 1)Statistics
  115. 115A variate X takes values . What is the median?2012 (Phase 1)Median
  116. 116What are the direction ratios of normal to the plane ?2012 (Phase 1)Direction Cosines and Direction Ratios
  117. 117In a city, three daily newspapers A, B, C are published, read A; read B; read C; read A and B; read B and read A and do not read any of the 2012 (Phase 1)Questions on Venn Diagram
  118. 118In a city, three daily newspapers A, B, C are published, read A; read B; read C; read A and B; read B and read A and do not read any of the 2012 (Phase 1)Questions on Venn Diagram
  119. 119In a city, three daily newspapers A, B, C are published, read A; read B; read C; read A and B; read B and read A and do not read any of the 2012 (Phase 1)Questions on Venn Diagram
  120. 120In a city, three daily newspapers A, B, C are published, read A; read B; read C; read A and B; read B and read A and do not read any of the 2012 (Phase 1)Questions on Venn Diagram

Frequently Asked Questions

1.How many questions are in the NDA 2012 Phase 1 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 2 paper for the same year?

The NDA 2012 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2012.

4.What is the structure of the NDA 2012 Phase 1 paper?

The NDA 2012 Phase 1 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 2012 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 172 (64%) are easy, 98 (36%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 120 easy, 30 medium, 0 hard
  • Mathematics: 52 easy, 68 medium, 0 hard
6.Which chapters had the most questions in the NDA 2012 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (52), English (49), and General Studies (49).
  • Mathematics: Trigonometric Ratios & Identities (18), Sets and Relations (11), and Matrices (8).
7.Where can I find the solutions for the NDA 2012 Phase 1 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 1 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 1 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.