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NDA 2013 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2013 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 - 176 easy (65%), 94 moderate (35%) 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 53% easy, 47% moderate, 0% tough; General Ability 75% easy, 25% moderate, 0% tough.

General Ability questions were entirely from General Science (52), English (50), and General Studies (48). Mathematics questions were spread across 32 chapters, with Probability (11), Straight Lines (10), and Sets and Relations (9) carrying the most weight.

General Ability

  1. 1The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  2. 2The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  3. 3The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  4. 4The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  5. 5The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  6. 6The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  7. 7The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  8. 8The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  9. 9The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  10. 10The sentences are divided in three separate parts and each one is labelled A, B, C. Read each sentence to find out whether there is an error2013 (Phase 2)Spotting The Errors
  11. 11Select the synonym of the word (occurring in the sentence in capital letters) as per the context. A wise man puts past RANCOUR behind and mo2013 (Phase 2)Synonyms
  12. 12Select the synonym of the word (occurring in the sentence in capital letters) as per the context. Many of the villagers were ISOLATED by hea2013 (Phase 2)Synonyms
  13. 13Select the synonym of the word (occurring in the sentence in capital letters) as per the context. A series of COLUMNS supporting a large por2013 (Phase 2)Synonyms
  14. 14Select the synonym of the word (occurring in the sentence in capital letters) as per the context. Trees that BLOCK the view of oncoming traf2013 (Phase 2)Synonyms
  15. 15Select the synonym of the word (occurring in the sentence in capital letters) as per the context. The landscape changed ABRUPTLY after the s2013 (Phase 2)Synonyms
  16. 16Select the synonym of the word (occurring in the sentence in capital letters) as per the context. We saw a SCINTILLATING fireworks display.2013 (Phase 2)Synonyms
  17. 17Select the synonym of the word (occurring in the sentence in capital letters) as per the context. The PACT has been in effect for twenty yea2013 (Phase 2)Synonyms
  18. 18Select the synonym of the word (occurring in the sentence in capital letters) as per the context. He had a reputation of being a PRUDENT bus2013 (Phase 2)Synonyms
  19. 19Select the synonym of the word (occurring in the sentence in capital letters) as per the context. There was a signpost where the two paths C2013 (Phase 2)Synonyms
  20. 20Select the synonym of the word (occurring in the sentence in capital letters) as per the context. The violence erupted because of the ZEALOT2013 (Phase 2)Synonyms
  21. 21Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His CANDID remarks impressed the authoriti2013 (Phase 2)Antonyms
  22. 22Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The guilty appealed to the jury to CONDONE2013 (Phase 2)Antonyms
  23. 23Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His family SEVERED ties with him for marry2013 (Phase 2)Antonyms
  24. 24Select the antonym of the word (occurring in the sentence in capital letters) as per the context. It is easy to understand his FUZZY thought2013 (Phase 2)Antonyms
  25. 25Select the antonym of the word (occurring in the sentence in capital letters) as per the context. He drove his car through SLIMY road to rea2013 (Phase 2)Antonyms
  26. 26Select the antonym of the word (occurring in the sentence in capital letters) as per the context. We are ANXIOUS to avoid any problems with 2013 (Phase 2)Antonyms
  27. 27Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The railway lines are EXTENDED and we are 2013 (Phase 2)Antonyms
  28. 28Select the antonym of the word (occurring in the sentence in capital letters) as per the context. There was a fire this morning. They were l2013 (Phase 2)Antonyms
  29. 29Select the antonym of the word (occurring in the sentence in capital letters) as per the context. Domestic violence is a very INHUMAN act.2013 (Phase 2)Antonyms
  30. 30Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His ELOQUENT speech helped him bag the awa2013 (Phase 2)Antonyms
  31. 31Universities in Germany and Denmark will have an input _____ the project.2013 (Phase 2)Fillers
  32. 32He gave me a leg _____ when I was completely new to the business.2013 (Phase 2)Idioms and Phrases
  33. 33You should have nothing to do with those criminals; they all have violent attitudes and long records. They are men _____ the same kidney.2013 (Phase 2)Idioms and Phrases
  34. 34He didn’t have the guts to stand _____ his friend when he was in trouble.2013 (Phase 2)Fillers
  35. 35He broke out of the prison _____ dressing as a woman.2013 (Phase 2)Fillers
  36. 36When electricity failed, emergency generators _____2013 (Phase 2)Idioms and Phrases
  37. 37We need two more hands to _____ the heavy rush of work.2013 (Phase 2)Idioms and Phrases
  38. 38Twenty-five candidates _____ each other for the first prize.2013 (Phase 2)Spotting The Errors
  39. 39We must eliminate the _____ rich and poor.2013 (Phase 2)Spotting The Errors
  40. 40As an innovator, he _____ the beaten track and explored new religions.2013 (Phase 2)Idioms and Phrases
  41. 41Paragraph: It has often been said that the scale of natural phenomena in India and her total dependence on the monsoon, have helped to form 2013 (Phase 2)Comprehension Ability
  42. 42Paragraph: It has often been said that the scale of natural phenomena in India and her total dependence on the monsoon, have helped to form 2013 (Phase 2)Comprehension Ability
  43. 43Paragraph: It has often been said that the scale of natural phenomena in India and her total dependence on the monsoon, have helped to form 2013 (Phase 2)Comprehension Ability
  44. 44Paragraph: It has often been said that the scale of natural phenomena in India and her total dependence on the monsoon, have helped to form 2013 (Phase 2)Comprehension Ability
  45. 45You are required to rearrange these parts which are labelled to produce the correct sentence. (P) she/ (Q) and neither have I/ (R) the assig2013 (Phase 2)Jumbled Sentences & Paragraphs
  46. 46You are required to rearrange these parts which are labelled to produce the correct sentence. (P) himself/ (Q) a child/ (R) can usually feed2013 (Phase 2)Jumbled Sentences & Paragraphs
  47. 47You are required to rearrange these parts which are labelled to produce the correct sentence. Every experience in life makes (P) on some of 2013 (Phase 2)Sentence Improvement
  48. 48You are required to rearrange these parts which are labelled to produce the correct sentence. You’ll (P) know how to do it/ (Q) have to/ (R)2013 (Phase 2)Jumbled Sentences & Paragraphs
  49. 49You are required to rearrange these parts which are labelled to produce the correct sentence. Would you (P) like to come/ (Q) on Saturday/ (2013 (Phase 2)Sentence Improvement
  50. 50You are required to rearrange these parts which are labelled to produce the correct sentence. It is (P) to be admitted/ (Q) not necessary th2013 (Phase 2)Sentence Completion
  51. 51Consider the following statements about the National Cyber Security Policy, approved by the Union Cabinet in May 2013: 1. The policy focuses2013 (Phase 2)General Knowledge
  52. 52Which of the following statements about Dr. Aparajita Datta is/are correct? 1. She is a wildlife biologist. 2. She has been working for the 2013 (Phase 2)General Knowledge
  53. 53Who among the following won the Men's Singles title of the Madrid Open Tennis Tournament, 2013?2013 (Phase 2)General Knowledge
  54. 54Which one among the following films was presented the Best Feature Film award in the 60th National Film Awards?2013 (Phase 2)General Knowledge
  55. 55Which one among the following is an indigenously built Weapon System Integrated helicopter handed over to the Indian Army in February 2013 b2013 (Phase 2)General Knowledge
  56. 56Who among the following is the Chairman of the Fourteenth Finance Commission?2013 (Phase 2)Economy
  57. 57Which of the following statements about 'Chit Fund' in India is/are correct? 1. It is kind of savings scheme. 2. There are no Acts regulatin2013 (Phase 2)Economy
  58. 58Who among the following is the author of the book Pax Indica : India and the World of the 21st Century?2013 (Phase 2)General Knowledge
  59. 59Which one among the following about Prof. C.N.R. Rao is not correct?2013 (Phase 2)General Knowledge
  60. 60Identify the person from the information given below: He was a popular Urdu poet and Hindi lyricist, who worked extensively in Hindi films. 2013 (Phase 2)General Knowledge
  61. 61Statement I : The process of decay and disintegration of rocks in situ is called weathering. Statement II : Weathering takes place both mech2013 (Phase 2)Geography
  62. 62Statement I : Doldrums is a calm belt between and of the equator. Statement II : The sun rays strike almost vertically over the equator thro2013 (Phase 2)Geography
  63. 63Statement I : In the century, India was the largest British colony. Statement II : India became a big market for British manufactured goods 2013 (Phase 2)History
  64. 64Statement I : Glass is not considered as a true compound. Statement II : Glass does not have a definite melting point.2013 (Phase 2)Chemistry
  65. 65Statement I : Limestone decomposes when it is heated in air. Statement II : Increase in the content of in the atmosphere in recent years is 2013 (Phase 2)Chemistry
  66. 66Statement I : Very little hydrogen is produced when sulphuric acid is added to calcium. Statement II : The salt that is produced, calcium su2013 (Phase 2)Chemistry
  67. 67Statement I : Zinc is used for galvanization to protect iron from rusting. Statement II : Zinc is more reactive towards oxygen than iron.2013 (Phase 2)Chemistry
  68. 68Which of the following are the results of El Nino? 1. Reduction in the amount of planktons which further reduces the number of fish in the s2013 (Phase 2)Geography
  69. 69‘Esker’ is a geomorphic feature developed by2013 (Phase 2)Geography
  70. 70It is known that the atmosphere is divided into some layers. In which one among the following layers, is the percentage composition of Heliu2013 (Phase 2)Geography
  71. 71The rigid lithospheric slabs are known as 'Plates'. What would be the result, if the oceanic plate collides with the continental plate? 1. O2013 (Phase 2)Geography
  72. 72Consider the following layers of the atmosphere: 1. Troposphere 2. Stratosphere 3. Mesosphere 4. Thermosphere Which one among the following 2013 (Phase 2)Geography
  73. 73Match List-I with List-II and select the correct answer using the codes given below the lists:2013 (Phase 2)Geography
  74. 74Jawahar tunnel on Jammu-Srinagar highway passes through2013 (Phase 2)Geography
  75. 75What would be the date and local time of a place located at E longitude when the local time at longitude is of February 2013?2013 (Phase 2)Geography
  76. 76Which of the following statements about tornadoes are correct? Tornadoes usually spin 1. anticlockwise in the northern homisphere. 2. clockw2013 (Phase 2)Geography
  77. 77Which one among the following terms is used to describe a plant that grows only in a mountainous environment?2013 (Phase 2)Biology
  78. 78Which of the following statements is/are correct? 1. Air close to the Earth's surface is heavier. 2. Air close to the Earth's surface contai2013 (Phase 2)Geography
  79. 79Match List-I with List-II and select the correct answer using the codes given below the lists:2013 (Phase 2)Geography
  80. 80The term ‘albedo’ implies the2013 (Phase 2)Geography
  81. 81Which of the following statements are correct? 1. Assam produces nearly of jute in India. 2. Jute grows well on loamy soil 3. Hot and humid 2013 (Phase 2)Geography
  82. 82The Indian Standard Time is ahead of Greenwich Mean Time by2013 (Phase 2)General Knowledge
  83. 83Which of the following is the main characteristic of Mediterranean climate?2013 (Phase 2)Geography
  84. 84Which one, among the following atmospheric gases, filters out most of the ultraviolet radiation of the Sun?2013 (Phase 2)Chemistry
  85. 85Which one among the following is not a factor that affects direction of wind?2013 (Phase 2)Geography
  86. 86Presbyopia is a visual defect caused by2013 (Phase 2)Biology
  87. 87Which one among the following animals does not undergo periodic moulting of their external body covering?2013 (Phase 2)Biology
  88. 88Which one among the following organs in humans is not involved in elicitation of immune response?2013 (Phase 2)Biology
  89. 89From which part of turmeric, is the turmeric powder obtained?2013 (Phase 2)Biology
  90. 90Which one among the following substances is never excreted out through urine under normal circumstances in any healthy individual?2013 (Phase 2)Biology
  91. 91Which one among the following animals gives birth to the biggest baby?2013 (Phase 2)Biology
  92. 92Muscles of which one among the following body parts contract slowly but can remain contracted for a longer time?2013 (Phase 2)Biology
  93. 93Solutions of three enzymes were prepared namely lipase, trypsin and amylase, in order to remove stains from a piece of cloth. Out of these t2013 (Phase 2)Chemistry
  94. 94Which one among the following diseases is not caused by polluted water?2013 (Phase 2)Biology
  95. 95Which one among the following animals is a mammal?2013 (Phase 2)Biology
  96. 96Which of the following statements with regard to the 'Fifth Report' is/are correct? 1. It was submitted to the British Parliament in 1813 fo2013 (Phase 2)History
  97. 97Consider the following statements about Salt Satyagraha: 1. It was a form of Civil Disobedience. 2. It was the first nationalist activity in2013 (Phase 2)History
  98. 98Which of the following statements about Ryotwari system is/are correct? 1. The government collected the revenue directly from the individual2013 (Phase 2)History
  99. 99Which of the following statements about Russia is/are correct? 1. Russia emerged as the first socialist state in the world. 2. Socialist sta2013 (Phase 2)History
  100. 100Consider the following statements: 1. Dadabhai Naoroji first put forward 'the theory of drain of wealth'. 2. The Indian National Congress ad2013 (Phase 2)History
  101. 101Which of the following statements about Quit India Movement of 1942 is/are correct? 1. The movement was massive in character. 2. One of the 2013 (Phase 2)History
  102. 102Consider the following statements: 1. Annie Besant was the first woman President of the Indian National Congress. 2. The historic Lucknow se2013 (Phase 2)History
  103. 103Match List-I with List-II and select the correct answer using the code given below the lists:2013 (Phase 2)History
  104. 104For Mahatma Gandhi, Satyagraha is 1. a political force. 2. a philosophy of life. 3. an ideology of action. Select the correct answer using t2013 (Phase 2)History
  105. 105What was the common element among the following three newspapers? 1. The Servant of India 2. Dnyan Prakash 3. Hitawad2013 (Phase 2)History
  106. 106"... it has reduced us politically to serfdom. It has sapped the foundations of our culture ... it has degraded us spiritually." This was Ma2013 (Phase 2)History
  107. 107The Indian National Congress was founded during the Viceroyalty of2013 (Phase 2)History
  108. 108Kandh Revolt against the British was led by2013 (Phase 2)History
  109. 109The implementation of factory legislation in India in the nineteenth century was a result of the pressure on the Government of India from2013 (Phase 2)History
  110. 110Who among the following was the President of Indian National Congress when India attained independence?2013 (Phase 2)History
  111. 111Who among the following has described the uprising of 1857 as the First India War of Independence?2013 (Phase 2)History
  112. 112Arrange the following events of Indian freedom movement in correct sequence beginning from the earliest: 1. Second Round Table Conference 2.2013 (Phase 2)History
  113. 113Consider the following statements: 1. Morley - Minto reforms ended the official majority in state legislative assemblies. 2. Despite the Gov2013 (Phase 2)History
  114. 114No Indian "shall by reason only of his religion, place of birth, descent, colour or any of them be disabled from holding any office or emplo2013 (Phase 2)History
  115. 115A beautiful rainbow on the sky is due to the2013 (Phase 2)Physics
  116. 116The weight of an object may be assigned by using Newton’s2013 (Phase 2)Physics
  117. 117A current of is drawn by a filament of an electric bulb for 20 minutes. The amount of electric charge that flows through the circuit is2013 (Phase 2)Physics
  118. 118Which one among the following properties of a proton may change while it moves freely in a magnetic field?2013 (Phase 2)Physics
  119. 119Power required by a boy of mass 30 kg to run up a staircase of 40 steps in 10 seconds is (Height of each step is 15 cm ) Take2013 (Phase 2)Physics
  120. 120The figure given above shows the temperature time (t) plot when we start heating a piece of naphthalene. The temperature at the plateau of t2013 (Phase 2)Physics
  121. 121A piece of paper and a coin both having the same mass are dropped from the floor of a building. The piece of paper would take more time to r2013 (Phase 2)Physics
  122. 122During sunrise and sunset, sun appears reddish-orange because2013 (Phase 2)Physics
  123. 123Ohm’s law can also be taken as a statement for2013 (Phase 2)Physics
  124. 124Motion of a particle can be described in -direction by , and -direction by . The particle is moving on2013 (Phase 2)Physics
  125. 125The plot given above represents displacement ' ' of a particle with time ' '. The particle is2013 (Phase 2)Physics
  126. 126A bullet of mass 20 gm is fired in the horizontal direction with a velocity from a pistol of mass 1 kg . Recoil velocity of the pistol is2013 (Phase 2)Physics
  127. 127What should be the reading of the voltmeter V in the circuit given above? (All the resistances are equal to and the battery is of 1.5 volt)2013 (Phase 2)Physics
  128. 128The plot given above represents the velocity of a particle (in ) with time (in seconds). Assuming that the plot represents a semi-circle, di2013 (Phase 2)Physics
  129. 129Suppose we have an iron nail and an iron ball of same mass. When submerged in water, the iron ball may float but the nail always sinks. This2013 (Phase 2)Physics
  130. 130An electric heater is rated 1500 watt. If electric power costs ₹ 2 per kilo-watt-hour, then the cost of power for 10 hours running of the he2013 (Phase 2)Physics
  131. 131The ceilings of a concert hall are generally curved2013 (Phase 2)Physics
  132. 132Bats can know about their prey at a distance even in the night by emitting2013 (Phase 2)Biology
  133. 133Rays of light get refracted while passing from air to glass because2013 (Phase 2)Physics
  134. 134White light while passing through a glass prism breaks up into light of different colours because2013 (Phase 2)Physics
  135. 135Which one among the following situations is best represented by the velocity - time plot shown above?2013 (Phase 2)Physics
  136. 136When long dry hair is brushed the strands often move away from each other because while brushing2013 (Phase 2)Physics
  137. 137If the length of a simple pendulum is being increased by 4-fold, time period of oscillation will be2013 (Phase 2)Physics
  138. 138A pressure cooker works on the principle of2013 (Phase 2)Physics
  139. 139Pressure of a gas increase due to increase of its temperature because at higher temperature2013 (Phase 2)Physics
  140. 140The presence of sulphur in gunpowder2013 (Phase 2)Chemistry
  141. 141Calcium ammonium nitrate (CAN) is a popular nitrogen fertilizer because it is2013 (Phase 2)Chemistry
  142. 142Chromium oxide is used as an ingredient in paints to obtain2013 (Phase 2)Chemistry
  143. 143A mixture of sodium chlorides and naphthalene can be separated by2013 (Phase 2)Chemistry
  144. 144The pH of the solution obtained by dissolving pure sodium chloride in water is2013 (Phase 2)Chemistry
  145. 145Oxygen on reaction with non-metals forms oxides, which are2013 (Phase 2)Chemistry
  146. 146Biogas consists of mainly2013 (Phase 2)Chemistry
  147. 147A gas is evolved when a piece of zinc metal is placed in dilute sulphuric acid . What is the gas?2013 (Phase 2)Chemistry
  148. 148Turmeric (Haldi) rapidly becomes colourless on addition of2013 (Phase 2)Chemistry
  149. 149Metalloids are2013 (Phase 2)Chemistry
  150. 150Two reactants in a flask produce bubbles of gas; it turns lime water into milky. The reactants in the flask are2013 (Phase 2)Chemistry

Mathematics

  1. 1What is the seventh term of the sequence ,2013 (Phase 2)Arithmetic Progression
  2. 2What is equal to?2013 (Phase 2)Sum and Difference & Multiple angle Formula
  3. 3Consider the following: 1. 2. 3. 4.2013 (Phase 2)Basic Identities & T Ratios
  4. 4If , then what is equal to?2013 (Phase 2)Basic Identities & T Ratios
  5. 5What is equal to?2013 (Phase 2)Logarithm
  6. 6If the three vertices of the parallelogram are , then D is equal to2013 (Phase 2)Coordinate System
  7. 7The value of for which the lines and represent family of parallel lines is2013 (Phase 2)Angle between Lines
  8. 8What is the equation of the line which passes through and is perpendicular to ?2013 (Phase 2)Derived Forms of Line
  9. 9The foci of the hyperbola are2013 (Phase 2)Equation of hyperbola
  10. 10For what value of are the two straight lines and equidistant from the point2013 (Phase 2)Point and Line
  11. 11A point moves such that its distances from and are equal. Then the locus of P is2013 (Phase 2)Locus
  12. 12The equation of the locus of a point which is equidistant from the axes is2013 (Phase 2)Locus
  13. 13What angle does the line segment joining and subtend at ?2013 (Phase 2)Product of 2 vectors
  14. 14The length of latus rectum of the ellipse is2013 (Phase 2)Equation of Ellipse
  15. 15What is the equation to the straight line passing through and ?2013 (Phase 2)Basic Forms of Straight Line
  16. 16What is equal to?2013 (Phase 2)Basic Identities & T Ratios
  17. 17What is the value of the determinant2013 (Phase 2)Expansion of Determinants
  18. 18Consider the following: 1. 2. Which of the above is/are correct?2013 (Phase 2)Questions on Venn Diagram
  19. 19Let be a positive integer and What is equal to?2013 (Phase 2)Properties of Binomial Coefficients
  20. 20If are the roots of the equation , then what is the value of ?2013 (Phase 2)Relation between Roots and Coefficients
  21. 21A number in binary system is 110001 . It is equal to which one of the following numbers in decimal system?2013 (Phase 2)Binary to Decimal Conversion
  22. 22The roots of the equation2013 (Phase 2)Relation between Roots and Coefficients
  23. 23What is equal to?2013 (Phase 2)Sum and difference of angles
  24. 24What is equal to?2013 (Phase 2)Basic Identities & T Ratios
  25. 25How many terms are there in the expansion of2013 (Phase 2)Terms of Binomial Expansion
  26. 26The sum of the first five terms and the sum of the first ten terms of an AP are same. Which one of the following is the correct statement?2013 (Phase 2)Arithmetic Progression
  27. 27If , then what is the cardinality of the power set ?2013 (Phase 2)Questions on number of relations and sets
  28. 28What is the difference in the roots of the equation2013 (Phase 2)Relation between Roots and Coefficients
  29. 29If and , then what is equal to?2013 (Phase 2)System of Linear Equations
  30. 30The quadratic equation will have real roots if2013 (Phase 2)Relation between Roots and Coefficients
  31. 31What is the positive square root of ?2013 (Phase 2)Logarithm
  32. 32If and , then what is the cardinality of ?2013 (Phase 2)Questions on number of relations and sets
  33. 33If are the roots of the equation , then what is equal to?2013 (Phase 2)Relation between Roots and Coefficients
  34. 34If and are rational and is not perfect square, then the quadratic equation with rational coefficients whose one root is is2013 (Phase 2)Relation between Roots and Coefficients
  35. 35If A is a finite set having elements, then the number of relations which can be defined in A is2013 (Phase 2)Questions on number of relations and sets
  36. 36If the positive integers are in AP, then the numbers are in2013 (Phase 2)Arithmetic Progression
  37. 37Which one of the following is an example of nonempty set?2013 (Phase 2)Questions on number of relations and sets
  38. 38What is one of the square roots of , where ?2013 (Phase 2)Algebra of complex numbers
  39. 39The number 83 is written in the binary system as2013 (Phase 2)Decimal to Binary Conversion
  40. 40The relation R in the set Z of integers given by is divisible by 5 is2013 (Phase 2)Questions on Symmetric Transitive and Reflexive Properties
  41. 41What is equal to?2013 (Phase 2)Properties of Binomial Coefficients
  42. 42What is equal to?2013 (Phase 2)Geometric Progression
  43. 43How many real roots does the quadratic equation have?2013 (Phase 2)Relation between Roots and Coefficients
  44. 44In a group of 50 people, two tests were conducted, one for diabetes and one for blood pressure. 30 people were diagnosed with diabetes and 42013 (Phase 2)Questions on Venn Diagram
  45. 45Consider the following statements: 1. The product of two non-zero matrices can never be identity matrix. 2. The product of two non-zero matr2013 (Phase 2)Product of Matrices
  46. 46What is the area of the parabola bounded by the line ?2013 (Phase 2)Area of Curve along axis
  47. 47What is the area bounded by and ?2013 (Phase 2)Area of Curve along axis
  48. 48What is equal to? where c is an arbitrary constant.2013 (Phase 2)Integration by Parts
  49. 49What is equal to?2013 (Phase 2)Definite Integration by Parts
  50. 50If the angle between the vectors and is , then what is the value of ?2013 (Phase 2)Product of 2 vectors
  51. 51What is the vector perpendicular to both the vectors and ?2013 (Phase 2)Product of 2 vectors
  52. 52The position vectors of the points and are respectively and . What is the length of ?2013 (Phase 2)Algebra of Vectors
  53. 53The vectors and are orthogonal to each other. Then the locus of the point is2013 (Phase 2)Product of 2 vectors
  54. 54What is the value of for which the vector is of 3 units length?2013 (Phase 2)Algebra of Vectors
  55. 55If and are three vectors such that is perpendicular to , then what is equal to?2013 (Phase 2)Product of 2 vectors
  56. 56The mean of 20 observations is 15. On checking, it was found that two observation were wrongly copied as 3 and 6. If wrong observations are 2013 (Phase 2)Mean
  57. 57The arithmetic mean of the squares of the first natural numbers is2013 (Phase 2)Arithmetic Progression
  58. 58Consider the following statements: 1. Both the regression coefficients have same sign. 2. If one of the regression coefficients is greater t2013 (Phase 2)Measures of Dispersion
  59. 59Which one of the following measures is determined only after the construction of cumulative frequency distribution?2013 (Phase 2)Median
  60. 60Coefficient of correlation is the measure of2013 (Phase 2)Measures of Dispersion
  61. 61What is equal to?2013 (Phase 2)Algebraic and Rational Limits
  62. 62What is equal to?2013 (Phase 2)Algebraic and Rational Limits
  63. 63What is equal to?2013 (Phase 2)Algebraic and Rational Limits
  64. 64The maximum value of the function exists at2013 (Phase 2)Maxima Minima
  65. 65The minimum value of the function exists at2013 (Phase 2)Range
  66. 66What is equal to?2013 (Phase 2)Definite Integration by Parts
  67. 67What is equal to? where c is an arbitrary constant.2013 (Phase 2)Integration by Substitution
  68. 68What is the order of the differential equation2013 (Phase 2)Order and Degree
  69. 69satisfies which of the following differential equations? 1. 2. Select the correct answer using the code given below.2013 (Phase 2)Order and Degree
  70. 70The differential equation of all circles whose centres are at the origin is2013 (Phase 2)Formation of Differential Equation
  71. 71What is equal to? where c is an arbitrary constant.2013 (Phase 2)Fundamental of Indefinite Integration
  72. 72What is equal to? where c is an arbitrary constant.2013 (Phase 2)Integration by Substitution
  73. 73What is the area bounded by the lines , and ?2013 (Phase 2)Area of Curve along axis
  74. 74What is the derivative of ?2013 (Phase 2)Differentiation of composite functions
  75. 75What is the derivative of at ?2013 (Phase 2)Differentiation of composite functions
  76. 76If three events are mutually exclusive, then which one of the following is correct?2013 (Phase 2)Addition and Subtraction Theorems
  77. 77What is the variance of the first 11 natural numbers?2013 (Phase 2)Measures of Dispersion
  78. 78If A and B are independent events such that , then what is equal to?2013 (Phase 2)Independent Events
  79. 79In a binomial distribution the occurrence and the non-occurrence of an event are equally likely and the mean is 6 . The number of trials req2013 (Phase 2)Bernoulli Trial and Binomial Distribution
  80. 80A die is tossed twice. What is the probability of getting a sum of 10 ?2013 (Phase 2)Classical Definition of Probability
  81. 81Three dice are thrown. What is the probability of getting a triplet?2013 (Phase 2)Classical Definition of Probability
  82. 82Consider the following statements: 1. If and are exhaustive events, then their union is the sample space. 2. If and are exhaustive events, t2013 (Phase 2)Addition and Subtraction Theorems
  83. 83Consider the following statements: 1. The algebraic sum of the deviations of a set of values from its arithmetic mean is zero. 2. In the cas2013 (Phase 2)Statistics
  84. 84Which one of the following may be the parameter of a binomial distribution?2013 (Phase 2)Bernoulli Trial and Binomial Distribution
  85. 85What is the number of outcomes when a coin is tossed and then a die is rolled only in case a head is shown on the coin?2013 (Phase 2)Classical Definition of Probability
  86. 86If , and , then what is equal to?2013 (Phase 2)Addition and Subtraction Theorems
  87. 87What is the probability that there are 5 Mondays in the month of February 2016?2013 (Phase 2)Classical Definition of Probability
  88. 88Consider the following statements: 1. Pie diagrams are suitable for categorical data. 2. The arc length of a sector of a pie diagram is prop2013 (Phase 2)Statistics
  89. 89In a relay race, there are six teams and F. What is the probability that finish first, second, third respectively?2013 (Phase 2)Classical Definition of Probability
  90. 90The variance of 20 observations is 5 . If each observation is multiplied by 2 , then what is the new variance of the resulting observations?2013 (Phase 2)Measures of Dispersion
  91. 91What is the angle between the lines and2013 (Phase 2)Angle between Lines
  92. 92The axis of the parabola is2013 (Phase 2)standard equation of parabola
  93. 93The radius of the circle passing through the origin is2013 (Phase 2)Equation of Circle & its intercept
  94. 94The centroid of the triangle with vertices , and is at2013 (Phase 2)Coordinate System
  95. 95The equation of the line, the reciprocals of whose intercepts on the axes are and , is given by2013 (Phase 2)Basic Forms of Straight Line
  96. 96If is the acute angle between the diagonals of a cube, then which one of the following is correct?2013 (Phase 2)Direction Cosines and Direction Ratios
  97. 97What is the equation of the sphere with unit radius having centre at the origin?2013 (Phase 2)Sphere
  98. 98What is the sum of the squares of direction cosines of -axis?2013 (Phase 2)Direction Cosines and Direction Ratios
  99. 99What is the distance of the line from the origin?2013 (Phase 2)Plane in Space
  100. 100If the projections of a straight line segment on the coordinate axes are , then the length of the segment is2013 (Phase 2)Basics of point in 3 dimension
  101. 101Consider the following functions: 1. , where 2. Which of the above functions is/are continuous?2013 (Phase 2)Continuity
  102. 102What is the derivative of with respect to ?2013 (Phase 2)Differentiation of composite functions
  103. 103What is equal to?2013 (Phase 2)Algebraic and Rational Limits
  104. 104A function is defined as for 0 and for . Consider the following statements in respect of the above function: 1. The function is continuous a2013 (Phase 2)Continuity
  105. 105If , then what is equal to?2013 (Phase 2)Differentiation of composite functions
  106. 106Consider the following statements: 1. The matrix is singular. 2. The matrix is non-singular. Which of the above statements is/are correct?2013 (Phase 2)Expansion of Determinants
  107. 107The cofactor of the element 4 in the determinant is2013 (Phase 2)Expansion of Determinants
  108. 108If is a square matrix of order 3 with , then which one of the following is correct?2013 (Phase 2)Adjoint and its Properties
  109. 109Let and . What is the number of elements in ?2013 (Phase 2)Questions on number of relations and sets
  110. 110If , then what is equal to?2013 (Phase 2)Combination
  111. 111If A is a subset of B, then which one of the following is correct?2013 (Phase 2)Questions on number of relations and sets
  112. 112If where , then which one of the following is correct?2013 (Phase 2)Product of Matrices
  113. 113Let be a function from the set of natural numbers to the set of even natural numbers given by . Then is2013 (Phase 2)Types of Function (Mapping)
  114. 114If , then what is equal to?2013 (Phase 2)Inverse of a Matrix
  115. 115If then what is equal to?2013 (Phase 2)Product of Matrices
  116. 116What is the angle (in circular measure) between the hour hand and the minute hand of a clock when the time is half past2013 (Phase 2)Basic Identities & T Ratios
  117. 117The angles of elevation of the top of a tower from two places situated at distances 21 m and from the base of the tower are and respectively2013 (Phase 2)Heights and Distances
  118. 118What is equal to?2013 (Phase 2)Basic Identities & T Ratios
  119. 119A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is . When he retires 40 m from 2013 (Phase 2)Heights and Distances
  120. 120If the angles of a triangle are and and the included side is , then what is the area of the triangle?2013 (Phase 2)Napiers Analogy, Area of Triangle & Half angle Formulae

Frequently Asked Questions

1.How many questions are in the NDA 2013 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 2013 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2013.

4.What is the structure of the NDA 2013 Phase 2 paper?

The NDA 2013 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 2013 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 176 (65%) are easy, 94 (35%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 112 easy, 38 medium, 0 hard
  • Mathematics: 64 easy, 56 medium, 0 hard
6.Which chapters had the most questions in the NDA 2013 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (52), English (50), and General Studies (48).
  • Mathematics: Probability (11), Straight Lines (10), and Sets and Relations (9).
7.Where can I find the solutions for the NDA 2013 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 2013 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 2013 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.