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NDA 2016 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2016 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 - 118 easy (44%), 145 moderate (54%) and 7 tough (3%). 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 8% easy, 86% moderate, 6% tough; General Ability 72% easy, 28% moderate, 0% tough.

General Ability questions were entirely from General Science (52), English (50), and General Studies (48). Mathematics questions were spread across 28 chapters, with Probability (12), Continuity and Differentiability (10), and Sequences and Series (9) 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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)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, 2016 (Phase 2)Spotting The Errors
  11. 11Select the option that is nearest in meaning to the underlined word. {Hospitality} is a virtue for which the natives of the East in general 2016 (Phase 2)Synonyms
  12. 12Select the option that is nearest in meaning to the underlined word. House rent in cities like Mumbai or Delhi has risen to {astronomical} f2016 (Phase 2)Synonyms
  13. 13Select the option that is nearest in meaning to the underlined word. {Appropriate} technology holds the key to a nation's development.2016 (Phase 2)Synonyms
  14. 14Select the option that is nearest in meaning to the underlined word. He was {enamoured} of his own golden voice.2016 (Phase 2)Synonyms
  15. 15Select the option that is nearest in meaning to the underlined word. Some journalists are guilty of indulging in {yellow journalism}.2016 (Phase 2)Idioms and Phrases
  16. 16Select the option that is opposite in meaning to the underlined word. The culprit was {sentenced} by the Court.2016 (Phase 2)Antonyms
  17. 17Select the option that is opposite in meaning to the underlined word. {Thrifty} as he is, he can well afford to live within his means.2016 (Phase 2)Antonyms
  18. 18Select the option that is opposite in meaning to the underlined word. Do not give him a responsible job, he is {immature}.2016 (Phase 2)Antonyms
  19. 19Select the option that is opposite in meaning to the underlined word. I was prepared {to show my hand} provided he agreed to do the same.2016 (Phase 2)Antonyms
  20. 20Select the option that is opposite in meaning to the underlined word. Akbar the great was a {sagacious} ruler.2016 (Phase 2)Antonyms
  21. 21Select the word you consider most appropriate to fill in the blank space. She has been lying in bed for the last fortnight. I hope she will 2016 (Phase 2)Idioms and Phrases
  22. 22Select the word you consider most appropriate to fill in the blank space. The path of progress is beset _____ difficulties.2016 (Phase 2)Fillers
  23. 23Select the word you consider most appropriate to fill in the blank space. I feel ______ for those who are cruel to their children.2016 (Phase 2)Fillers
  24. 24Select the word you consider most appropriate to fill in the blank space. Both the parties were keen to have an _____ settlement2016 (Phase 2)Fillers
  25. 25Select the word you consider most appropriate to fill in the blank space. I have come to know that the two brothers have _____.2016 (Phase 2)Idioms and Phrases
  26. 26Select the word you consider most appropriate to fill in the blank space. Everybody finds his own work _____ whereas he feels that others ha2016 (Phase 2)Fillers
  27. 27Select the word you consider most appropriate to fill in the blank space. The accident took place because of the criminal _____ of the drive2016 (Phase 2)Miscellaneous English
  28. 28Select the word you consider most appropriate to fill in the blank space. The belief in the _____ of vaccination is gaining ground.2016 (Phase 2)Fillers
  29. 29Select the word you consider most appropriate to fill in the blank space. Our new leader is a _____ young man and will take us forward.2016 (Phase 2)Fillers
  30. 30Select the word you consider most appropriate to fill in the blank space. They found a world of _____ between what he said and what he did.2016 (Phase 2)Sentence Completion
  31. 31You are required to rearrange the jumbled parts of the sentences. The proper sequence should be2016 (Phase 2)Jumbled Sentences & Paragraphs
  32. 32You are required to rearrange the jumbled parts of the sentences.2016 (Phase 2)Sentence Improvement
  33. 33You are required to rearrange the jumbled parts of the sentences. The proper sequence should be2016 (Phase 2)Jumbled Sentences & Paragraphs
  34. 34You are required to rearrange the jumbled parts of the sentences. The proper sequence should be2016 (Phase 2)Sentence Improvement
  35. 35You are required to rearrange the jumbled parts of the sentences.2016 (Phase 2)Jumbled Sentences & Paragraphs
  36. 36You are required to rearrange the jumbled parts of the sentences. The proper sequence should be2016 (Phase 2)Jumbled Sentences & Paragraphs
  37. 37You are required to rearrange the jumbled parts of the sentences. The proper sequence should be2016 (Phase 2)Sentence Improvement
  38. 38Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  39. 39Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  40. 40Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  41. 41Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  42. 42Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  43. 43Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  44. 44Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Sentence Improvement
  45. 45Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Sentence Improvement
  46. 46Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  47. 47Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Spotting The Errors
  48. 48Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Sentence Improvement
  49. 49Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Sentence Improvement
  50. 50Look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underlined part. If one of 2016 (Phase 2)Sentence Improvement
  51. 51Statement I : Variability of annual rainfall is very high in western part of Rajasthan. Statement II : Average annual rainfall is extremely 2016 (Phase 2)Geography
  52. 52Statement I: Ozone is a tri-atomic molecule of oxygen. Statement II : Ozone is concentrated mainly in stratosphere.2016 (Phase 2)Chemistry
  53. 53Statement I : The laterite soils develop in areas with high temperature and high rainfall. Statement II : Laterite soils are the result of i2016 (Phase 2)Geography
  54. 54Statement I : Too much salt content in diet could be one of the reasons for kidney failure. Statement II : High salt may cause high blood pr2016 (Phase 2)Biology
  55. 55Statement I : The city of Rome revived in a spectacular way in the 15 th century. Statement II : From the 15 th century onwards, artists wer2016 (Phase 2)History
  56. 56Statement I : Chartism was the political reform campaign for democratic rights which swept over Britain between 1838 and 1848. Statement II 2016 (Phase 2)History
  57. 57'Sahel' region of Sahara desert is associated with2016 (Phase 2)Geography
  58. 58Which one of the following pairs of a river and its tributary is not correctly matched?2016 (Phase 2)Geography
  59. 59In which one of the following countries, the Mediterranean type of Biome is found?2016 (Phase 2)Geography
  60. 60Arrange the following states in order of their decreasing population size as per the census 2011: 1. West Bengal 2. Bihar 3. Maharashtra 4. 2016 (Phase 2)Geography
  61. 61Match List I with List II and select the correct answer using the code given below the Lists: Code:2016 (Phase 2)Geography
  62. 62Match List I with List II and select the correct answer using the code given below the Lists: Code:2016 (Phase 2)Chemistry
  63. 63Identify the element having zero valency2016 (Phase 2)Chemistry
  64. 64There are six electrons, six protons and six neutrons in an atom of an element. What is the atomic number of the element?2016 (Phase 2)Chemistry
  65. 65Which one of the following has different number of molecules? (All are kept at normal temperature and pressure)2016 (Phase 2)Chemistry
  66. 66Combination of one volume of nitrogen with three volumes of hydrogen produces2016 (Phase 2)Chemistry
  67. 67Consider the following statements about cactus: 1. The leaves are reduced to spines. 2. The stem does the photosynthesis. Which of the state2016 (Phase 2)Biology
  68. 68In which one of the following, methanogens, i.e., methene producing bacteria are not present?2016 (Phase 2)Biology
  69. 69Malarial parasite is a2016 (Phase 2)Biology
  70. 70With reference to biodiversity, which of the following statements is/are correct? 1. Species richness and high degree of endernism are impor2016 (Phase 2)Biology
  71. 71It is difficult to kill viruses because they2016 (Phase 2)Biology
  72. 72When a ray of light enters a glass slab, then2016 (Phase 2)Physics
  73. 73A ball is thrown vertically upward from the ground with a speed of . The ball will reach the highest point of its journey in2016 (Phase 2)Physics
  74. 74One kilowatt hour is equal to2016 (Phase 2)Physics
  75. 75When sound waves are propagated through a medium, the physical quantity/quantities transmitted is/are2016 (Phase 2)Physics
  76. 76Pressure is a scalar quantity because2016 (Phase 2)Physics
  77. 77A person is unable to read a newspaper without his glasses. He is most probably suffering from2016 (Phase 2)Physics
  78. 78The free fall acceleration increases as one proceeds, at sea level, from the equator toward either pole. The reason is2016 (Phase 2)Physics
  79. 79Which one of the following statements is correct?2016 (Phase 2)Physics
  80. 80Which one of the following is not a contact force?2016 (Phase 2)Physics
  81. 81When a force of 1 newton acts on a mass of 1 kg which is able to move freely, the object moves in the direction of force with a/an2016 (Phase 2)Physics
  82. 82Which of the following items is used in the household wirings to prevent accidental fire in case of short circuit?2016 (Phase 2)Physics
  83. 83Which of the following are the features of the ideology of utilitarianism? 1. Utilitarians believed that all value derives from land 2. The 2016 (Phase 2)History
  84. 84Who among the following invented the powerloom that revolutionized the cotton textile industry?2016 (Phase 2)History
  85. 85Subsidiary Alliance was a system devised by2016 (Phase 2)History
  86. 86Consider the following statements: 1. Periplus is a Greek word meaning sailting around. 2. Erythraean was the Greek name for the Mediterrane2016 (Phase 2)History
  87. 87Who among the following was defeated by Saina Nehwal to win the women's title of the Australian Open Super Series Badminton Tournament, 20162016 (Phase 2)General Knowledge
  88. 88Consider the following statements: He was an Indian journalist, editor and author. He was associated with the Statesman, the Guardian, the T2016 (Phase 2)General Knowledge
  89. 89Achyut Lahkar, who died recently, was a2016 (Phase 2)General Knowledge
  90. 90Recently Microsoft announced its 26.2 billion dollar acquisition of which one of the following professional networking sites?2016 (Phase 2)General Knowledge
  91. 91Which of the following statements concerning Mediterranean climatic region are correct? 1. It is found in the latitude range to northern and2016 (Phase 2)Geography
  92. 92Arrange the following states in decreasing order of their total area under forest cover : 1. Jharkhand 2. Chhattisgarh 3. Arunachal Pradesh 2016 (Phase 2)Geography
  93. 93Which of the following statements concerning Scheduled Castes (SC) population in India are correct? 1. The highest percentage of SC populati2016 (Phase 2)Polity
  94. 94Match List I with List II and select the correct answer using code given below the Lists : Code :2016 (Phase 2)Chemistry
  95. 95Which one of the following species is not capable of showing disproportionation reaction?2016 (Phase 2)Chemistry
  96. 96Which one of the following statements is correct?2016 (Phase 2)Chemistry
  97. 97When one strikes a safety mat, the first step is2016 (Phase 2)Chemistry
  98. 98The LPG cooking gas contains propane and butane as the constituents, A sulfur containing compound is added to the LPG, because2016 (Phase 2)Chemistry
  99. 99The genetic material of bacteria is found in2016 (Phase 2)Biology
  100. 100A horse and a donkey can breed to produce mule which is an infertile animal. The infertility is because horse an donkey belong to different.2016 (Phase 2)Biology
  101. 101A plan having yellow leaves with dead spots has the deficiency of2016 (Phase 2)Biology
  102. 102Fluoride toothpaste is sometimes recommended because fluoride2016 (Phase 2)Chemistry
  103. 103Along a streamline flow of fluid2016 (Phase 2)Physics
  104. 104How is the kinetic energy of a moving object affected if the net work done on it is positive?2016 (Phase 2)Physics
  105. 105A particle is executing simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is 2016 (Phase 2)Physics
  106. 106Which one of the following four particles, whose displacement and acceleration are related as follows, is executing simple harmonic motion?2016 (Phase 2)Physics
  107. 107If we plot a graph between volume and inverse of pressure (i.e. ) for an ideal gas at constant temperature , the curve so obtained is2016 (Phase 2)Physics
  108. 108Which one of the following statements is correct?2016 (Phase 2)Physics
  109. 109Which one of the following statements is not correct?2016 (Phase 2)Physics
  110. 110A particle executes linear simple harmonic motion with amplitude of 2 cm . when the particle is at 1 cm from the mean position, the magnitud2016 (Phase 2)Physics
  111. 111Which one of the following statements is not correct?2016 (Phase 2)Physics
  112. 112If the image of an object, formed by a concave mirror is virtual, erect and magnified, then the objcet is placed2016 (Phase 2)Physics
  113. 113When three resistors each having resistancer, are connected in parallel, their resultant resistance is . If these three resistances are conn2016 (Phase 2)Physics
  114. 114Which of the following was/were the feature(s) of Lenin's New Economic policy (NEP) for the Soviet Union? 1. Private retail trading was stri2016 (Phase 2)History
  115. 115Which of the following was/were the reasons for the defeat of British during the American War of Independence? 1. The remoteness of the Amer2016 (Phase 2)History
  116. 116The industrial revolution in England had a profound impact on the lives of people. Which of the following statements are correct about that?2016 (Phase 2)History
  117. 117Consider the following statements: 1. British colonialism continued to grow steadily in the 18th and 19th centuries 2. Raw cotton for the te2016 (Phase 2)History
  118. 118Who among the following was the author of 'Neel Darpan' published in 1860 ?2016 (Phase 2)History
  119. 119Which one of the following organizations was started by Jyotirao Phule in 1873 ?2016 (Phase 2)History
  120. 120Although used earlier by French and German writters, the term industrial Revolution in English was first popularized by2016 (Phase 2)History
  121. 121In the 19th century, the majority of the workers in Japan's modern industries were mainly2016 (Phase 2)History
  122. 122Which of the following statements regarding recent developments in international affairs is/are correct ? 1. NATO's defence ministers agree 2016 (Phase 2)General Knowledge
  123. 123As per the RBI guidelines, which one of the following is the minimum tenure of Masala Bonds that an Indian Company can issue offshore ?2016 (Phase 2)Economy
  124. 124Which of the following statements about Krishi Kalyan Cess (KKC) is/are correct? 1. KKC is calculated in the same way as Service Tax is calc2016 (Phase 2)Economy
  125. 125Which country won the Thomas cup Badminton Championship, 2016?2016 (Phase 2)General Knowledge
  126. 126Code:2016 (Phase 2)General Knowledge
  127. 127The world's largest biomass cookstove system for cooking in community kitchen has been installed at2016 (Phase 2)General Knowledge
  128. 128Which one of the following sectors is the largest contributor to carbon dioxide emmisions from fuel consumption in India?2016 (Phase 2)Biology
  129. 129As per census 2011, which one of the following states has the highest number of inhabitated villages?2016 (Phase 2)Geography
  130. 130The property of electric current which is applicable in the fuse wire is :2016 (Phase 2)Physics
  131. 131Which one of the following statements is not correct?2016 (Phase 2)Physics
  132. 132Two balls, and are thrown simultaneously, vertically upward with a speed of from the ground and vertically downward from a height of 40 m wi2016 (Phase 2)Physics
  133. 133The setting time of cement is lowered by adding2016 (Phase 2)Chemistry
  134. 134Emulsion is known as a2016 (Phase 2)Chemistry
  135. 135If one mixes up ashes with animal fat, the substance received in the crude form is called2016 (Phase 2)Chemistry
  136. 136Which of the following statements with regard to coverage rate of Aadhar cards during 2015 is/are correct? 1. The coverage rate of Aadhar ca2016 (Phase 2)General Knowledge
  137. 137Which one of the following is the correct descending order of countries in terms of per capita availability of arable land?2016 (Phase 2)Geography
  138. 138Match List I with List II and select the correct answer using the code given below the Lists : Code:2016 (Phase 2)Geography
  139. 139Which of the following statements concerning temperature is/are correct? 1. In winter season isotherms in Northern Hemisphere are more or le2016 (Phase 2)Geography
  140. 140Which of the following statement(s) concerning natural regions of the world is/are correct? 1. Equatorial climate regions have less urbaniza2016 (Phase 2)Geography
  141. 141Which one of the following gases gives acidic solution on dissolving in water?2016 (Phase 2)Chemistry
  142. 142How many moles of hydrogen atom are present in one mole of Aluminium hydroxide?2016 (Phase 2)Chemistry
  143. 143The United Nations proclaimed 21 june as2016 (Phase 2)General Knowledge
  144. 144Who are Bhawana kanth, Avani Chaturvedi and Mohana Singh?2016 (Phase 2)General Knowledge
  145. 145Consider the following statements about the Constitution of India : 1. A Member of Parliament enjoys freedom of speech in the Parliament as 2016 (Phase 2)Polity
  146. 146Which one of the following statements about the Union Executive in India is correct?2016 (Phase 2)Polity
  147. 147Which one of the following statements about Money Bill is correct?2016 (Phase 2)Polity
  148. 148Which one of the following powers of the Prime Minister of India is codified in the Constitution of India itself?2016 (Phase 2)Polity
  149. 149The cylindrical stone seals were used in which civilization?2016 (Phase 2)History
  150. 150Which of the following statements with regards to the Civil Disobedience movement is/are correct ? 1. The movement received massive response2016 (Phase 2)History

Mathematics

  1. 1Let be a set of all distinct numbers of the form , where . What is the cardinality of the set S ?2016 (Phase 2)Questions on number of relations and sets
  2. 2If and , then has a root in which one of the following intervals?2016 (Phase 2)Location of Roots
  3. 3If and , then which of the following is/are correct? 1. 2. Select the correct answer using the code given below:2016 (Phase 2)Inequalities
  4. 4If is semy square matrix of order 3 and , then what is equal to?2016 (Phase 2)Inverse of a Matrix
  5. 5What is equal to, where is the cube root of unity?2016 (Phase 2)Cube Root of Unity
  6. 6If , where is a complex number, then which one of the following is correct?2016 (Phase 2)Conjugate, modulus and argument
  7. 7What is equal to?2016 (Phase 2)Product of Matrices
  8. 8Out of 15 points in a plane, points are in the same straight line. 445 triangles can be formed by joining these points. What is the value of2016 (Phase 2)Combination
  9. 9If , then what is the imaginary part of z equal to?2016 (Phase 2)De Moivres Theorem
  10. 10If both the roots of the equation lie between -3 and 5 , then which one of the following is correct?2016 (Phase 2)Location of Roots
  11. 11What is the number of distinct solutions of the equation (where is a complex number)?2016 (Phase 2)Algebra of complex numbers
  12. 12How many geometric progressions is/are possible containing 27,8 and 12 as three of its/their terms?2016 (Phase 2)Geometric Progression
  13. 13Let be a relation from to such that , where and . What is equal to?2016 (Phase 2)Questions on number of relations and sets
  14. 14A five-digit number divisible by 3 is to be formed using the digits and 4 without repetition of digits. What is the number of ways this can 2016 (Phase 2)Permutation
  15. 15What is equal to?2016 (Phase 2)Combination
  16. 16Paragraph: Let be in AP , where . Let be in HP , where Question: What is the value of ?2016 (Phase 2)Arithmetic Progression
  17. 17Paragraph: Let be in AP , where . Let be in HP , where Question: What is the value of ?2016 (Phase 2)Arithmetic Progression
  18. 18Paragraph: Let be in AP , where . Let be in HP , where Question: What is the value of pqr?2016 (Phase 2)Harmonic Progression
  19. 19Paragraph: The sixth term of an AP is 2 and its common difference is greater than 1 . Question: What is the common difference of the AP so t2016 (Phase 2)Arithmetic Progression
  20. 20Paragraph: The sixth term of an AP is 2 and its common difference is greater than 1 . Question: What is the first term of the AP so that the2016 (Phase 2)Arithmetic Progression
  21. 21Paragraph: Let then Question: What is the value of ?2016 (Phase 2)Expansion of Determinants
  22. 22Paragraph: Let then Question: What is the value of ?2016 (Phase 2)Expansion of Determinants
  23. 23Paragraph: The interior angles of a polygon of n sides are in AP. The smallest angle is and the common difference is . Question: How many po2016 (Phase 2)Arithmetic Progression
  24. 24Paragraph: The interior angles of a polygon of n sides are in AP. The smallest angle is and the common difference is . Question: What is the2016 (Phase 2)Arithmetic Progression
  25. 25If and , then what is the value of the determinant of ?2016 (Phase 2)Product of Matrices
  26. 26If , then which of the following are correct? 1. 2. The value of the determinant of the matrix is 1 . 3. The determinant of is an even funct2016 (Phase 2)Product of Matrices
  27. 27Which of the following are correct in respect of the system of equations and ? 1. They have no solution. if . 2. They have infinitely many s2016 (Phase 2)System of Linear Equations
  28. 28and , then which of the following is/are correct? 1. is a unit matrix. 2. Select the correct answer using the code given below:2016 (Phase 2)Inverse of a Matrix
  29. 29If for any and , then which one of the following is correct?2016 (Phase 2)Logarithm
  30. 30If the number 235 in decimal system is converted into binary system, then what is the resulting number?2016 (Phase 2)Decimal to Binary Conversion
  31. 31Paragraph: Let and be the roots of the equation Question: Under what condition does the above equation have real roots?2016 (Phase 2)Relation between Roots and Coefficients
  32. 32Paragraph: Let and be the roots of the equation Question: Under what condition is ?2016 (Phase 2)Relation between Roots and Coefficients
  33. 33What is equal to, where is the cube root of unity?2016 (Phase 2)Cube Root of Unity
  34. 34In an examination, students passed in Physics, students passed in Chemistry, students passed in Mathematics and students passed in Biology, 2016 (Phase 2)Questions on Venn Diagram
  35. 35Paragraph: For the system of linear equations and Question: Under what condition does the above system of equations have infinitely many sol2016 (Phase 2)System of Linear Equations
  36. 36Paragraph: For the system of linear equations and Question: Under what condition does the above system of equations have unique solutions?2016 (Phase 2)System of Linear Equations
  37. 37What is the number of odd integers between 1000 and 9999 with no digit repeated?2016 (Phase 2)Permutation
  38. 38What is the greatest value of the positive integer n satisfying the condition2016 (Phase 2)Geometric Progression
  39. 39Paragraph: has roots -2 and while the equation has both roots positive, where and 0 . Question: What is the value of ?2016 (Phase 2)Relation between Roots and Coefficients
  40. 40Paragraph: has roots -2 and while the equation has both roots positive, where and 0 . Question: If are in GP, then what is the value of ?2016 (Phase 2)Relation between Roots and Coefficients
  41. 41is equal to which of the following? 1. 2. 3. Select the correct answer using the code given below:2016 (Phase 2)Sum and Difference & Multiple angle Formula
  42. 42If and , then what is equal to?2016 (Phase 2)Sum and Difference & Multiple angle Formula
  43. 43If , then what is the value of2016 (Phase 2)Basic Identities & T Ratios
  44. 44What is the value of2016 (Phase 2)Sum and Difference & Multiple angle Formula
  45. 45If , then what is the value of ?2016 (Phase 2)Basic Identities & T Ratios
  46. 46What is the value of ?2016 (Phase 2)T inverse T property
  47. 47The top of a hill when observed from the top and bottom of a building of height is at angles of elevation p and q respectively. What is the 2016 (Phase 2)Heights and Distances
  48. 48If , then what is the value of ?2016 (Phase 2)Sum and Difference & Multiple angle Formula
  49. 49A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from to in 2 minutes. What is2016 (Phase 2)Heights and Distances
  50. 50What is equal to?2016 (Phase 2)Transformation Formulas
  51. 51An equilateral triangle has one vertex at and another at . What are the coordinates of the third vertex?2016 (Phase 2)Coordinate System
  52. 52What is the equation of the right bisector of the line segment joining and2016 (Phase 2)Basic Forms of Straight Line
  53. 53What is the radius of the circle passing through the point and having centre at the intersection of the lines and2016 (Phase 2)Equation of Circle & its intercept
  54. 54What is the equation of the hyperbola having latus rectum and eccentrieity 8 and respectively?2016 (Phase 2)Equation of hyperbola
  55. 55If the point lies between the lines , then which one of the following is correct?2016 (Phase 2)Position of a point
  56. 56What is the equation of the straight line which passes through the point of intersection of the straight lines and and is perpendicular to t2016 (Phase 2)Angle between Lines
  57. 57If is at unit distance from the line , then which of the following conditions are correct? 1. 2. 3. Select the correct answer using the code2016 (Phase 2)Point and Line
  58. 58If the ellipse intercepts the line , then what is the length of the chord so formed?2016 (Phase 2)Line and ellipse
  59. 59A straight line cuts off an intercept of 2 units on the positive direction of -axis and passes through the point . What is the foot of the p2016 (Phase 2)Point and Line
  60. 60What is the eccentricity of rectangular hyperbola?2016 (Phase 2)Rectangular hyperbola
  61. 61Paragraph: Let Q be the image of the point in the plane . Question: Consider the following: 1. The coordinates of are . 2. PQ is of length m2016 (Phase 2)Plane in Space
  62. 62Paragraph: Let Q be the image of the point in the plane . Question: Consider the following: 1. The direction ratios of the line segment PQ a2016 (Phase 2)Direction Cosines and Direction Ratios
  63. 63Paragraph: A line L passes through the point and is parallel to the planes and . Question: What are the direction ratios of the line of inte2016 (Phase 2)Direction Cosines and Direction Ratios
  64. 64Paragraph: A line L passes through the point and is parallel to the planes and . Question: What is the equation of the line L ?2016 (Phase 2)Line in Space
  65. 65Paragraph: Let and , where is parallel to and is perpendicular to . Question: What is equal to?2016 (Phase 2)Algebra of Vectors
  66. 66Paragraph: Let and , where is parallel to and is perpendicular to . Question: If , then which of the following equations is/are correct? 1. 2016 (Phase 2)Algebra of Vectors
  67. 67Paragraph: Let and be three vectors such that and and . Question: What is . . equal to?2016 (Phase 2)Algebra of Vectors
  68. 68Paragraph: Let and be three vectors such that and and . Question: What is the angle between and ?2016 (Phase 2)Algebra of Vectors
  69. 69In a right-angled triangle ABC , if the hypotenuse , then what is equal to?2016 (Phase 2)Product of 2 vectors
  70. 70A force is applied at the point . What is the moment of the force about the point ?2016 (Phase 2)Product of 2 vectors
  71. 71What is the domain of the function ?2016 (Phase 2)Domain
  72. 72Consider the following in respect of the function 1. does not exist. 2. is differentiable at 3. is continuous at Which of the above statemen2016 (Phase 2)Continuity
  73. 73Let , where is such that . On which one of the following sets is continuous?2016 (Phase 2)Continuity
  74. 74Which one of the following statements is correct in respect of the function ?2016 (Phase 2)Maxima Minima
  75. 75What is the area bounded by the curves ?2016 (Phase 2)Area of Curve along axis
  76. 76Paragraph: Question: Which of the following statements is/are correct? 1. is increasing in the interval . 2. is decreasing in the interval .2016 (Phase 2)Monotonicity
  77. 77Paragraph: Question: Which of the following statements are correct? 1. is continuous at . 2. attains greatest value at . 3. is differentiabl2016 (Phase 2)Continuity
  78. 78Paragraph: Question: What is equal to when ?2016 (Phase 2)Differentiability
  79. 79Paragraph: Question: What is equal to when ?2016 (Phase 2)Differentiability
  80. 80Paragraph: Question: Which of the following equations is/are correct? 1. 2. Select the correct answer using the code given below:2016 (Phase 2)Composite Function
  81. 81Paragraph: Let , where . g(x)= x R$. Question: Which of the following statements is correct?2016 (Phase 2)Continuity
  82. 82Paragraph: Let , where . g(x)= x R$. Question: Which one of the following statements is correct?2016 (Phase 2)Existance of Limit
  83. 83Paragraph: Let , where . g(x)= x R (f f)(x)=f(x) ( {gog})(x)=g(x) x=0$. 3. (go (fog)) (x) can take only three values. Select the correct ans2016 (Phase 2)Composite Function
  84. 84Paragraph: Let be a real valued function. Question: Which one of the following statements is correct?2016 (Phase 2)Monotonicity
  85. 85Paragraph: Let be a real valued function. Question: Which of the following statements is/are correct? 1. is right continuous at . 2. is disc2016 (Phase 2)Continuity
  86. 86Paragraph: Consider the parabola and the straight line . Question: What are the coordinates of the point on the parabola which is closest to2016 (Phase 2)Tangent Normal
  87. 87Paragraph: Consider the parabola and the straight line . Question: What is the shortest distance from the above point on the parabola to the2016 (Phase 2)Tangent Normal
  88. 88Paragraph: Let and Question: Which of the following statements is/are correct? 1. is differentiable at . 2. is differentiable at . Select th2016 (Phase 2)Differentiability
  89. 89Paragraph: Let and Question: What is the value of the differential coefficient of at ?2016 (Phase 2)Differentiability
  90. 90Paragraph: Let and Question: Which of the following statements are correct? 1. is continuous at . 2. is continuous at . 3. is continuous at 2016 (Phase 2)Continuity
  91. 91Let be a function such that , What is equal to?2016 (Phase 2)Properties of Definite Integration
  92. 92What is equal to?2016 (Phase 2)Integration by Substitution
  93. 93What are the degree and order respectively of the differential equation satisfying , (where ?2016 (Phase 2)Order and Degree
  94. 94What is the curve which passes through the point and whose slope is2016 (Phase 2)Variable Separable Form
  95. 95If and , then what is equal to?2016 (Phase 2)Variable Separable Form
  96. 96What is the order of the differential equation2016 (Phase 2)Order and Degree
  97. 97Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin?2016 (Phase 2)Formation of Differential Equation
  98. 98What is equal to?2016 (Phase 2)Integration by Parts
  99. 99If , then what is the value of K ?2016 (Phase 2)Definite Integration by Substitution
  100. 100What is equal to?2016 (Phase 2)Properties of Definite Integration
  101. 101A special dice with numbers and 3 is thrown thrice. What is the probability that the sum of the numbers occurring on the upper face is zero?2016 (Phase 2)Classical Definition of Probability
  102. 102There is chance that it rains on any particular day. What is the probability that there is at least one rainy day within a period of 7 days?2016 (Phase 2)Total Probability
  103. 103A salesman has a chance to sell a product to any customer. The behaviour of successive customers is independent. If two customers A and B en2016 (Phase 2)Addition and Subtraction Theorems
  104. 104A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or III or all the three. The pro2016 (Phase 2)Addition and Subtraction Theorems
  105. 105Three candidates solve a question. Odds in favour of the correct answer are 5:2, 4:3 and 3:4 respectively for the three candidates. What is 2016 (Phase 2)Independent Events
  106. 106Consider the following statements: 1. The mean and median are equal in symmetric distribution. 2. The range is the difference between the ma2016 (Phase 2)Statistics
  107. 107The scores of 15 students in an examination were recorded as and 12 . After calculating the mean, median and mode, an error is found. One of2016 (Phase 2)Mean
  108. 108For 10 observations on price ( ) and supply (y), the following data was obtained: What is line of regression of y on x ?2016 (Phase 2)Statistics
  109. 109In a study of two groups, the following results were obtained: Which of the following statements is correct?2016 (Phase 2)Measures of Dispersion
  110. 110Consider the following statements in respect of class intervals of grouped frequency distribution: 1. Class intervals need not be mutually e2016 (Phase 2)Statistics
  111. 111A medicine is known to be effective to cure a patient. If the medicine is given to 5 patients, what is the probability that at least one pat2016 (Phase 2)Total Probability
  112. 112For two events, A and B , it is given that , and . If and are the complementary events of and , then equal to?2016 (Phase 2)Conditional Probability and Multiplication Theorem
  113. 113A machine has three parts, and C , whose chances of being defective are and 0.05 respectively. The machine stops working if any one of the p2016 (Phase 2)Independent Events
  114. 114Three independent events, and occur with probabilities . What is the probability that at least one of the three events occurs?2016 (Phase 2)Independent Events
  115. 115Two variates, x and y , are uncorrelated and have standard deviations and respectively. What is the correlation coefficient between and ?2016 (Phase 2)Measures of Dispersion
  116. 116A random sample of 20 people is classified in the following table according to their ages: What is the mean age of this group of people?2016 (Phase 2)Mean
  117. 117If the covariance between x and y is 30 , variance of x is 25 and variance of y is 144 , then what is the correlation coefficient?2016 (Phase 2)Measures of Dispersion
  118. 118A coin is tossed three times. Consider the following events: A: No head appears B: Exactly one head appears C. At least two heads appear Whi2016 (Phase 2)Addition and Subtraction Theorems
  119. 119In a series of 3 one-day cricket matches between teams and B of a college, the probability of team A winning or drawing are and respectively2016 (Phase 2)Total Probability
  120. 120Let the random variable follow . If , then what is the value of ?2016 (Phase 2)Bernoulli Trial and Binomial Distribution

Frequently Asked Questions

1.How many questions are in the NDA 2016 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 2016 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2016.

4.How is the NDA 2016 Phase 2 paper structured?

The NDA 2016 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 2016 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 118 (44%) are easy, 145 (54%) are medium and 7 (3%) are hard. Subject wise:

  • General Ability: 108 easy, 42 medium, 0 hard
  • Mathematics: 10 easy, 103 medium, 7 hard
6.Which chapters were asked the most in the NDA 2016 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 (12), Continuity and Differentiability (10), and Sequences and Series (9).
7.Where can I find the solutions for the NDA 2016 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 2016 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 2016 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.