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NDA 2016 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2016 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 - 126 easy (47%), 129 moderate (48%) and 15 tough (6%). 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 13% easy, 74% moderate, 13% tough; General Ability 73% easy, 27% moderate, 0% tough.

General Ability questions were entirely from General Studies (51), English (50), and General Science (49). Mathematics questions were spread across 28 chapters, with Probability (10), Straight Lines (10), and Functions (9) carrying the most weight.

General Ability

  1. 1Select whichever word you consider most appropriate for the blank space When the bus was at full speed, its brakes failed and an accident wa2016 (Phase 1)Sentence Completion
  2. 2Select whichever word you consider most appropriate for the blank space To explain his design to his visitors, the architect _________ a sim2016 (Phase 1)Fillers
  3. 3Select whichever word you consider most appropriate for the blank space Though Bonsai, a well-known art form, originated in China, it was __2016 (Phase 1)Fillers
  4. 4Select whichever word you consider most appropriate for the blank space He is greatly admired for his _____________ behaviour.2016 (Phase 1)Fillers
  5. 5Select whichever word you consider most appropriate for the blank space Would you mind _____________ to the Principal how the trouble starte2016 (Phase 1)Sentence Completion
  6. 6Select whichever word you consider most appropriate for the blank space Vaccination will make people immune ____________ certain diseases fo2016 (Phase 1)Fillers
  7. 7Select whichever word you consider most appropriate for the blank space The two boys looked so alike that it was impossible to ____________ 2016 (Phase 1)Synonyms
  8. 8Select whichever word you consider most appropriate for the blank space The campers ____________ their tents at the base of the mountain.2016 (Phase 1)Fillers
  9. 9Select whichever word you consider most appropriate for the blank space The enemy had captured him and his life was at stake, still he refus2016 (Phase 1)Fillers
  10. 10Select the word which is most nearly opposite in meaning to the underlined word. He handled the machine with deft fingers.2016 (Phase 1)Antonyms
  11. 11Select the word which is most nearly opposite in meaning to the underlined word. I was deeply affected by his urbane behaviour.2016 (Phase 1)Antonyms
  12. 12Select the word which is most nearly opposite in meaning to the underlined word. His timidity proved costly.2016 (Phase 1)Antonyms
  13. 13Select the word which is most nearly opposite in meaning to the underlined word. Arrangements were made to handle the mammoth gathering tact2016 (Phase 1)Antonyms
  14. 14Select the word which is most nearly opposite in meaning to the underlined word. He was engrossed in his work when I walked in.2016 (Phase 1)Antonyms
  15. 15Select the word which is most nearly opposite in meaning to the underlined word. These are the main points of the preceding paragraph.2016 (Phase 1)Antonyms
  16. 16Select the word which is most nearly opposite in meaning to the underlined word. He made a shrewd guess.2016 (Phase 1)Antonyms
  17. 17Select the word which is most nearly opposite in meaning to the underlined word. He is suffering from a severe cough.2016 (Phase 1)Antonyms
  18. 18Select the word which is most nearly opposite in meaning to the underlined word. Cumulatively , the effect of these drugs is quite bad.2016 (Phase 1)Antonyms
  19. 19Select the word which is most nearly opposite in meaning to the underlined word. He was conspicuous because of his colourful shirt.2016 (Phase 1)Antonyms
  20. 20Select the word which is most nearly opposite in meaning to the underlined word. He hates these continual arguments with his friend.2016 (Phase 1)Antonyms
  21. 21Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  22. 22Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  23. 23Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  24. 24Find out whether there is any error in any underlined part \2016 (Phase 1)Spotting The Errors
  25. 25Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  26. 26Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  27. 27Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  28. 28Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  29. 29Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  30. 30Find out whether there is any error in any underlined part2016 (Phase 1)Spotting The Errors
  31. 31In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Idioms and Phrases
  32. 32In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Spotting The Errors
  33. 33In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Sentence Improvement
  34. 34In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Spotting The Errors
  35. 35In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Spotting The Errors
  36. 36In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Spotting The Errors
  37. 37In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Spotting The Errors
  38. 38In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Idioms and Phrases
  39. 39In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Sentence Improvement
  40. 40In this question, look at the underlined part of each sentence. Below each sentence are given three possible substitutions for the underline2016 (Phase 1)Sentence Improvement
  41. 41Select the word which is most similar in meaning to the underlined word Suddenly there was a bright flash, followed by a deafening explosion2016 (Phase 1)Synonyms
  42. 42Select the word which is most similar in meaning to the underlined word He showed exemplary courage during the crisis.2016 (Phase 1)Synonyms
  43. 43Select the word which is most similar in meaning to the underlined word When the new teacher entered the classroom, he found the pupils rest2016 (Phase 1)Synonyms
  44. 44Select the word which is most similar in meaning to the underlined word There is no dearth of talent in this country.2016 (Phase 1)Synonyms
  45. 45Select the word which is most similar in meaning to the underlined word The servants retired to their quarters.2016 (Phase 1)Synonyms
  46. 46Select the word which is most similar in meaning to the underlined word The navy gave tactical support to the marines.2016 (Phase 1)Synonyms
  47. 47Select the word which is most similar in meaning to the underlined word A genius tends to deviate from the routine way of thinking.2016 (Phase 1)Synonyms
  48. 48Select the word which is most similar in meaning to the underlined word He was greatly debilitated by an attack of influenza.2016 (Phase 1)Synonyms
  49. 49Select the word which is most similar in meaning to the underlined word His efforts at helping the poor are laudable .2016 (Phase 1)Synonyms
  50. 50Select the word which is most similar in meaning to the underlined word His conduct brought him reproach from all quarters.2016 (Phase 1)Synonyms
  51. 51Statement I: Petroleum is a mixture of many different hydrocarbons of different densities. Statement II: The grade of petroleum depends main2016 (Phase 1)Chemistry
  52. 52Statement I: There is high salinity in Red Sea. Statement II: Rate of evaporation is high in Red Sea.2016 (Phase 1)Geography
  53. 53Statement I: Volcanic eruption is accompanied by earthquakes. Statement II: Volcanoes erupt water vapours and dust particles in the atmosphe2016 (Phase 1)Geography
  54. 54Statement I: Plantation farming has mostly been practised in humid tropics. Statement II: The soil of humid tropics is highly fertile.2016 (Phase 1)Geography
  55. 55Statement I: India has wide variation in population density. Statement II: Factors like agricultral productivity and history of settlements 2016 (Phase 1)Geography
  56. 56A container is first filled with water and then the entire water is replaced by mercury. Mercury has a density of . If is the weight of the 2016 (Phase 1)Physics
  57. 57Density of water is2016 (Phase 1)Physics
  58. 58The phosphorus used in the manufacture of safety matches is2016 (Phase 1)Chemistry
  59. 59Which one of the following is not a chemical change?2016 (Phase 1)Chemistry
  60. 60One of the main causes of air pollution in cities is emissions from vehicles like cars and trucks. Cars emit various pollutants which are ba2016 (Phase 1)Chemistry
  61. 61Arrange the following centres of AIIMS from East to West: 1. Rishikesh 2. New Delhi 3. Patna 4. Bhubaneswar Select the correct answer using 2016 (Phase 1)General Knowledge
  62. 62Suppose the force of gravitation between two bodies of equal masses is F. If each mass is doubled keeping the distance of separation between2016 (Phase 1)Physics
  63. 63A body has a free fall from a height of 20 m . After falling through a distance of 5 m , the body would2016 (Phase 1)Physics
  64. 64Soap is sodium or potassium salt of2016 (Phase 1)Chemistry
  65. 65Mass of a particular amount of substance 1. is the amount of matter present in it. 2. does not vary from place to place. 3. changes with cha2016 (Phase 1)Chemistry
  66. 66Which of the following substances are harmful for health if present in food items? 1. Pesticide residues 2. Lead 3. Metanil yellow 4. Mercur2016 (Phase 1)Chemistry
  67. 67In India, glacial terraces known as ‘Karewas’ are found in2016 (Phase 1)Geography
  68. 68Structurally, the Meghalaya region is a part of2016 (Phase 1)Geography
  69. 69Two bodies A and B are moving with equal velocities. The mass of is double that of . In this context, which one of the following statements 2016 (Phase 1)Physics
  70. 70During solar eclipse2016 (Phase 1)Physics
  71. 71The S.I. unit of acceleration is2016 (Phase 1)Physics
  72. 72An atom of carbon has 6 protons. Its mass number is 12 . How many neutrons are present in an atom of carbon?2016 (Phase 1)Chemistry
  73. 73Which one of the following is a reduction reaction?2016 (Phase 1)Chemistry
  74. 74Which of the commonly used household item(s) release Bisphenol A(BPA) which is an endocrine disruptor and bad for human health? 1. Steel ute2016 (Phase 1)Chemistry
  75. 75The Nagarjuna Sagar Project is located on which one of the following rivers?2016 (Phase 1)Geography
  76. 76Consider the following statements: 1. Rajmahal highlands consist of lava flow deposits. 2. Bundelkhand gneiss belong to the oldest Achaean r2016 (Phase 1)Geography
  77. 77An object is placed at the centre of curvature of a concave mirror of focal length 16 cm . If the object iis shifted by 8 cm towards the foc2016 (Phase 1)Physics
  78. 78A pencil is placed upright at a distance of 10 cm from a convex lens of focal length 15 cm . The nature of the image of the pencil will be2016 (Phase 1)Physics
  79. 79Which one of the following is a conventional energy2016 (Phase 1)General Knowledge
  80. 80Which one of the following oxides of nitrogen is known as ‘anhydride’ of nitric acid?2016 (Phase 1)Chemistry
  81. 81Which one of the following is the chemical name for baking soda?2016 (Phase 1)Chemistry
  82. 82Which of the following statements about DNA is/are correct? 1. DNA is the hereditary material of all living organisms. 2. All segments of DN2016 (Phase 1)Biology
  83. 83Which organisation prepares the topographical maps of India?2016 (Phase 1)Geography
  84. 84Which one of the following is an international boundary line ?2016 (Phase 1)Geography
  85. 85A lady is standing in front of a plane mirror at a distance of 1 m from it. She walks 60 cm towards the mirror. The distance of her image no2016 (Phase 1)Physics
  86. 86The brightness of a star depends on its2016 (Phase 1)Physics
  87. 87When a solid is heated, it turns directly into a gas. This process is called2016 (Phase 1)Chemistry
  88. 88Which one of the following is water gas?2016 (Phase 1)Chemistry
  89. 89Which of the following statements are correct? In honey bees 1. Males are haploid. 2. Workers are sterile and diploid. 3. Queen develops fro2016 (Phase 1)Biology
  90. 90The Amarkantak Hills is the source of which of the following rivers? 1. Narmada 2. Mahanadi 3. Tapti 4. Son Select the correct answer using 2016 (Phase 1)Geography
  91. 91Which of the following statements in the context of northern hemisphere is/are correct? 1. Vernal equinox occurs on March 21. 2. Summer sols2016 (Phase 1)Geography
  92. 92A glass vessel is filled with water to the rim and a lid is fixed to it tightly. Then it is left inside a freezer for hours. What is expecte2016 (Phase 1)Physics
  93. 93A simple circuit contains a 12 V battery and a bulb having 24 ohm resistance. When you turn on the switch, the ammeter connected in the circ2016 (Phase 1)Physics
  94. 94Three resistors with magnitudes 2,4 and 8 ohm are connected in parallel. The equivalent resistance of the system would be2016 (Phase 1)Physics
  95. 95Suppose you have four test tubes labelled as ‘A’, ‘B’, ‘C’, and ' '. ' ' contains plain water, ' ' contains solution of an alkali, ' ' conta2016 (Phase 1)Chemistry
  96. 96Which one of the following oxides dissolves in water?2016 (Phase 1)Chemistry
  97. 97To prevent heart problems, blood of a normal healthy person should have 1. low cholesterol level. 2. high HDL level. 3. high VLDL level. 4. 2016 (Phase 1)Biology
  98. 98Spruce and Cedar are tree varieties of2016 (Phase 1)Geography
  99. 99‘Sal’ tree is a2016 (Phase 1)Geography
  100. 100Matter around us can exist in three different states, namely, solid, liquid and gas. The correct order of their compressibility is2016 (Phase 1)Chemistry
  101. 101The temperature at which a solid melts to become a liquid at the atmospheric pressure is called its melting point. The melting point of a so2016 (Phase 1)Chemistry
  102. 102Consider the following circuit: The equivalent resistance of the circuit will be2016 (Phase 1)Physics
  103. 103Which one of the following elements will not react with dilute HCl to produce ?2016 (Phase 1)Chemistry
  104. 104Which of the following pairs of vector and disease is/are correctly matched? {array}{llll} & Vector & & Disease \\1. & Anopheles & : & Malar2016 (Phase 1)Biology
  105. 105Consider the following statements: 1. All Echinoderms are not marine. 2. Sponges are exclusively marine. 3. Insects are found in all kinds o2016 (Phase 1)Biology
  106. 106Areas which are engines for economic growth supported by quality infrastructure and complemented by an attractive fiscal package are known a2016 (Phase 1)Economy
  107. 107Deserts, fertile plains and moderately forested mountains are the characteristic features of which one of the following regions of India?2016 (Phase 1)Geography
  108. 108A racing car accelerates on a straight road from rest to a speed of in 25 s . Assuming uniform acceleration of the car throughout, the dista2016 (Phase 1)Physics
  109. 109A man weighing 70 kg is coming down in a lift. If the cable of the lift breaks suddenly, the weight of the man would become2016 (Phase 1)Physics
  110. 110A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J . If the current through the conductor is doubled, th2016 (Phase 1)Physics
  111. 111Which one of the following carbon compounds will not give a sooty flame?2016 (Phase 1)Chemistry
  112. 112Match List I with List II and select the correct answer using the code given below the Lists: {array}{|c|c|} List I & List II \\ (Molecule) 2016 (Phase 1)Chemistry
  113. 113In Thar region, the shifting sand dunes are locally known as2016 (Phase 1)Geography
  114. 114The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its2016 (Phase 1)Physics
  115. 115Which one of the following statements with regard to expansion of materials due to heating is correct?2016 (Phase 1)Physics
  116. 116Which of the following pairs is/are correctly matched? {array}{llll} & (National Park) & & (Famous for) \\1. & Ranthambhore & : & Tiger \\2.2016 (Phase 1)Geography
  117. 117Which one of the following is a form of stored energy?2016 (Phase 1)Physics
  118. 118The motion of a car along a straight path is shown by the following figure: The car starts O and reaches at and C at different instants of t2016 (Phase 1)Physics
  119. 119Jelep La pass is located in2016 (Phase 1)Geography
  120. 120What is the number of mole(s) of required to saturate one mole benzene?2016 (Phase 1)Chemistry
  121. 121Which one of the following pairs of the Schedule in the Constitution of India and its Content is not correctly matched?2016 (Phase 1)Polity
  122. 122Consider the following statements: 1. The Constitution of India empowers the Parliament to form new States and to alter the areas, boundarie2016 (Phase 1)Polity
  123. 123The Speaker of the Lok Sabha may resign his office by writing, addressed to the2016 (Phase 1)Polity
  124. 124Who among the following is the founder of the 'Bachpan Bachao Andolan'?2016 (Phase 1)General Knowledge
  125. 125Which of the following are the features of Pradhan Mantri Jan Dhan Yojana? 1. Ensuring financial inclusion of the poor 2. Enhancing financia2016 (Phase 1)Economy
  126. 126The Election Commission recognizes a political party as a national party if 1. it secures at least six percent of the total valid votes poll2016 (Phase 1)Polity
  127. 127Which one of the following is a feature of the Nehru-Mahalanobis model of development strategy?2016 (Phase 1)Economy
  128. 128Which of the following best explains the stated broad vision and aspirations of the Twelfth Five Year Plan (2012-2017)?2016 (Phase 1)Economy
  129. 129Nabhah Sprsain Diptam is the motto of2016 (Phase 1)General Knowledge
  130. 130Consider the following statements: 1. The Amendment procedure has been provided in Artical 368 of the Constitution of India. 2. The consent 2016 (Phase 1)Polity
  131. 131Which of the following statements relating to the comptroller and Auditor General (CAG) of India is/are correct? 1. The CAG can attend the s2016 (Phase 1)Polity
  132. 132Which of the following statements relating to election as the President of India is/are correct? 1. A person above the age of thirty-five ye2016 (Phase 1)Polity
  133. 133Which one of the following nations adopted its first democratic constitution in September 2015?2016 (Phase 1)General Knowledge
  134. 134Who among the following was defeated by Novak Djokovic in the final of the US Open Tennis Tournament Men's Singles event (2015)?2016 (Phase 1)General Knowledge
  135. 135The citizens of India do have which one of the following Fundamental Rights?2016 (Phase 1)Polity
  136. 136Which one among the following Acts for the first time allowed Indians, at least theoretically, entry to higher posts in British Indian admin2016 (Phase 1)History
  137. 137Consider the following statements about Rashtrakuta kings: 1. They were ardent patrons of Shaivism and did not support other forms of religi2016 (Phase 1)History
  138. 138After a ban on unscientific coal mining and transportation of coal in this region by the National Green Tribunal, many of those engaged in t2016 (Phase 1)Geography
  139. 139Which of the following statements about the first act of the Revolt of 1857 is/are true? 1. It occurred in Meerut, when two sepoys stole a s2016 (Phase 1)History
  140. 140Which of the following statements about Gandhiji's Hind Swaraj written in 1909 is/are true? 1. Hind Swaraj offers a civilizational concept o2016 (Phase 1)History
  141. 141Division of labour often involves 1. specialized economic activity. 2. higly distinct productive roles. 3. involving everyone in many of the2016 (Phase 1)Economy
  142. 142Who among the following is/was associated with 'Maharashtra Andhashraddha Nirmoolan Samiti'?2016 (Phase 1)General Knowledge
  143. 143Consider the following statements: 1. Warran Hastings set up the Calcutta Madrassa for the study and teaching of Muslim law related subjects2016 (Phase 1)History
  144. 144Consider the following statements about Sufism in India: 1. Pilgrimage called ziyarat to tombs of Sufi saints is an important feature. 2. Th2016 (Phase 1)History
  145. 145Which of the following thinkers and movements influenced the development of Gandhiji's politial ideas? 1. Henry David Thoreau 2. John Ruskin2016 (Phase 1)History
  146. 146Consider the following statements: 1. The Arthashastra is the first Indian text to define a State. 2. The main concerns of the Arthashastra 2016 (Phase 1)History
  147. 147Which of the following is/are not FDI policy change(s) after 2010 ? 1. Permission of 100 percent FDI in automotive sector. 2. Permitting for2016 (Phase 1)Economy
  148. 148Which of the following is/are the component/components of the Integrated Power Development Scheme launched by the Government of India recent2016 (Phase 1)Polity
  149. 149Which of the following statements about Brahmo Samaj is/ are correct? 1. The Brahmo Marriage Act of 1872 allowed inter-caste and widow re-ma2016 (Phase 1)History
  150. 150Which of the following statements about the aims of the United Nations is/are ture? 1. To foster a mutual appreciation of each other's cultu2016 (Phase 1)Polity

Mathematics

  1. 1Suppose is a cube root of unity with . Suppose and Q are the points on the complex plane defined by and . If is the origin, then what is the2016 (Phase 1)Cube Root of Unity
  2. 2Suppose there is a relation between the positive numbers x and y given by if and only if . Then which one of the following is correct?2016 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  3. 3If for all real values of , then which one of the following is correct?2016 (Phase 1)Relation between Roots and Coefficients
  4. 4If , where , then what is the fundamental amplitude of ?2016 (Phase 1)Conjugate, modulus and argument
  5. 5If for , then what is equal to?2016 (Phase 1)Functional Equation
  6. 6What is the range of the function , where ?2016 (Phase 1)Range
  7. 7A straight line intersects x and y yxes at P and Q respectively. If is the middle point of , then what is the area of thetriangle OPQ?2016 (Phase 1)Coordinate System
  8. 8If a circle of radius bunits with centre at touches the line , then what is the value of ?2016 (Phase 1)Tangent to circle
  9. 9Consider the function What is the maximum value of the function ?2016 (Phase 1)Maxima Minima
  10. 10Consider the function What is the minimum value of the function ?2016 (Phase 1)Maximum and Minimum Values
  11. 11Consider the function Consider the following statements: 1. has no solution. 2. has a solution. Which of the above statements is/are correct2016 (Phase 1)Maximum and Minimum Values
  12. 12Consider the curves and Where do the curves intersect?2016 (Phase 1)Number of Solutions
  13. 13Consider the curves and What is the area bounded by the curves?2016 (Phase 1)Area of Curve along axis
  14. 14Consider the function How many solutions does the function have?2016 (Phase 1)Number of Solutions
  15. 15Consider the function How many solutions does the function have?2016 (Phase 1)Number of Solutions
  16. 16Consider the functions Where is the greatest integer function. What is equal to?2016 (Phase 1)Properties of Definite Integration
  17. 17Consider the functions Where is the greatest integer function. What is equal to ?2016 (Phase 1)Properties of Definite Integration
  18. 18Consider the function , where . Which one of the following statements is correct?2016 (Phase 1)Differentiability
  19. 19Consider the function , where . Which one of the following statements is correct?2016 (Phase 1)Monotonicity
  20. 20Consider the function , where . Which one of the following statements is correct?2016 (Phase 1)Maxima Minima
  21. 21Consider the function , where . What is the area of the region bounded by x -axis, the curve and the two ordinates and ?2016 (Phase 1)Area of Curve along axis
  22. 22Consider the function , where . What is the area of the region bounded by x -axis, the curve and the two ordinates and2016 (Phase 1)Area of Curve along axis
  23. 23Given that Consider the following statements: 1. The sequence is in AP with common difference zero. 2. The sequence is in AP with common dif2016 (Phase 1)Properties of Definite Integration
  24. 24Given that What is equal to ?2016 (Phase 1)Properties of Definite Integration
  25. 25Consider the equation . Which of the following statements are not correct? 1. as a function of is not defined for all real . 2. as a functio2016 (Phase 1)Range
  26. 26Consider the equation . What is the derivative of as a function of with respect to for ?2016 (Phase 1)Differentiation of implicit functions
  27. 27Consider the lines and What is the area of the triangle formed by these lines?2016 (Phase 1)Coordinate System
  28. 28Consider the lines and . The centroid of the triangle is at which one of the following points?2016 (Phase 1)Coordinate System
  29. 29Consider the function What is the number of points of local minima of the function2016 (Phase 1)Monotonicity
  30. 30Consider the function What is the number of points of local maxima of the function ?2016 (Phase 1)Monotonicity
  31. 31Consider the function . Let and be twice differentiable functions on satisfying and . Then what is at equal to ?2016 (Phase 1)Integration by Substitution
  32. 32Consider the curves and What is/are the point(s) of intersection of the curves?2016 (Phase 1)Number of Solutions
  33. 33Consider the curves and What is the area of the region bounded by the curves and x-axis?2016 (Phase 1)Area of Curve along axis
  34. 34Consider the function , where is a constant. What is the value of ?2016 (Phase 1)Differentiation and Integration of Determinants
  35. 35Consider the function , where is a constant. What is the value of for which ?2016 (Phase 1)Differentiation and Integration of Determinants
  36. 36Consider a triangle ABC in which What is the value of ?2016 (Phase 1)Sum and Difference & Multiple angle Formula
  37. 37Consider a tiangle ABC in which What is the value of2016 (Phase 1)Napiers Analogy, Area of Triangle & Half angle Formulae
  38. 38Given that and are the roots of the equation with . What is equal to?2016 (Phase 1)Relation between Roots and Coefficients
  39. 39Given that and are the roots of the equation with . What is equal to?2016 (Phase 1)Relation between Roots and Coefficients
  40. 40Consider the two circles and What is the distance between the centres of the two circles?2016 (Phase 1)Equation of Circle & its intercept
  41. 41Consider the two circles and If the circles intersect at two distinct points, then which one of the following is correct?2016 (Phase 1)Intersection of Circles
  42. 42Consider the two lines and What is the equation of the line passing through the point of intersection of the given lines and parallel to -ax2016 (Phase 1)Concurrency & Family of Lines
  43. 43Consider the two lines and What is the equation of the line passing through the point of intersection of the given lines and parallel to -ax2016 (Phase 1)Concurrency & Family of Lines
  44. 44Consider the equation: If the equation possesses solution, then what is the minimum value of k ?2016 (Phase 1)Solving Trigonometric Equation
  45. 45Consider the equation: If the equation possesses solution, then what is the maximum value of k ?2016 (Phase 1)Solving Trigonometric Equation
  46. 46Consider the function where denotes the greatest integer function. What is equal to?2016 (Phase 1)Existance of Limit
  47. 47Consider the function where denotes the greatest integer function. What is equal to?2016 (Phase 1)Existance of Limit
  48. 48Let and be non-zero complex numbers satisfying , where . What is equal to?2016 (Phase 1)Conjugate, modulus and argument
  49. 49Let and be non-zero complex numbers satisfying , where . Consider the following statements: 1. is purely imaginary. 2. is purely real. Which2016 (Phase 1)Conjugate, modulus and argument
  50. 50Given that are in GP, and , are in A.P. Which one of the following is correct? and are2016 (Phase 1)Arithmetic Progression
  51. 51Given that are in GP, and , are in A.P. Which one of the following is correct? and are2016 (Phase 1)Geometric Progression
  52. 52Let z be a complex number satisfying What is equal to?2016 (Phase 1)Conjugate, modulus and argument
  53. 53Let z be a complex number satisfying and What is equal to?2016 (Phase 1)Conjugate, modulus and argument
  54. 54A function is defined as follows: Consider the following statements: 1. The function is continuous at . 2. The function is continuous at . W2016 (Phase 1)Continuity
  55. 55A function is defined as follows: Consider the following statements: 1. The function is differentiable at . 2. The function is differentiabl2016 (Phase 1)Differentiability
  56. 56Let and be the roots of the equation , where and . Consider the following: 1. 2. Which of the above is/are correct?2016 (Phase 1)Relation between Roots and Coefficients
  57. 57Let and be the roots of the equation , where and . Consider the following: 1. 2. Which of the above is/are correct?2016 (Phase 1)Relation between Roots and Coefficients
  58. 58Consider a parallelogram whose vertices are , y ), and taken in order. What is the value of ?2016 (Phase 1)Coordinate System
  59. 59Consider a parallelogram whose vertices are A(1,2), B (4, and taken in order. What is the point of intersection of the diagonals?2016 (Phase 1)Coordinate System
  60. 60Consider a parallelogram whose vertices are , y), and taken in order. What is the area of the parallelogram?2016 (Phase 1)Coordinate System
  61. 61Let be a function such that for What is equal to?2016 (Phase 1)Higher order derivatives
  62. 62Let be a function such that for What is equal to?2016 (Phase 1)Higher order derivatives
  63. 63Let be a function such that for What is f "'(10) equal to?2016 (Phase 1)Higher order derivatives
  64. 64Let be a function such that for Consider the following: 1. 2. Which of the above is/are correct?2016 (Phase 1)Higher order derivatives
  65. 65A plane P passes through the line of intersection of the planes and the point . What are the direction ratios of the line of intersection of2016 (Phase 1)Direction Cosines and Direction Ratios
  66. 66A plane P passes through the line of intersection of the planes and the point . What is the equation of the plane P?2016 (Phase 1)Plane in Space
  67. 67A plane P passes through the line of intersection of the planes and the point . If the plane touches the sphere , then what is equal to?2016 (Phase 1)Plane in Space
  68. 68Consider the function What is equal to?2016 (Phase 1)Rate Measure Error and Approximation
  69. 69Consider the function What is f "(2.5) equal to?2016 (Phase 1)Differentiation of composite functions
  70. 70Let be the greatest integer function and be the modulus function. What is equal to?2016 (Phase 1)Composite Function
  71. 71Let be the greatest integer function and be the modulus function. What is equal to?2016 (Phase 1)Composite Function
  72. 72Consider a circle passing through the origin and the points and . On which line does the centre of the circle lie?2016 (Phase 1)Equation of Circle & its intercept
  73. 73Consider a circle passing through the origin and the points and What is the sum of the squares of the intercepts cut off by the circle on th2016 (Phase 1)Equation of Circle & its intercept
  74. 74Let be two unit vectors and be the angle between them. What is equal to?2016 (Phase 1)Algebra of Vectors
  75. 75What is equal to?2016 (Phase 1)T-Ratios of Multiple & sub multiple angles
  76. 76Consider the following statements: 1. There exists for which . 2. Which of the above statements is/are correct?2016 (Phase 1)T inverse T property
  77. 77Consider the following statements: 1. 2. There exist , where such that Which of the above statements is/are correct?2016 (Phase 1)T inverse T property
  78. 78What are the order and degree respectively of the differential equation whose solution is , where c is a parameter?2016 (Phase 1)Order and Degree
  79. 79What is equal to, where is the greatest integer function?2016 (Phase 1)Properties of Definite Integration
  80. 80If and , then what is equal to?2016 (Phase 1)Properties of Definite Integration
  81. 81If , where , then what is equal to?2016 (Phase 1)Existance of Limit
  82. 82What is equal to?2016 (Phase 1)Special Forms
  83. 83If A is a square matrix, then what is equal to?2016 (Phase 1)Adjoint and its Properties
  84. 84What is the binary equivalent of the decimal number 0.3125?2016 (Phase 1)Decimal to Binary Conversion
  85. 85Let R be a relation on the set N of natural numbers defined by ' is a factor of '. Then which one of the following is correct?2016 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  86. 86What is equal to?2016 (Phase 1)Properties of Definite Integration
  87. 87What is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor2016 (Phase 1)Questions on Venn Diagram
  88. 88is the mid-point of the line segment joining the points and . If , then what is the value of ?2016 (Phase 1)Coordinate System
  89. 89Consider the following statements: 1. If ABC is an equilateral triangle, then . 2. If ABC is a triangle in which , then 3. If is any triangl2016 (Phase 1)Sine Rule and its application
  90. 90If and , then what is equal to?2016 (Phase 1)Transformation Formulas
  91. 91What is the mean deviation from the mean of the numbers2016 (Phase 1)Measures of Dispersion
  92. 92Three dice are thrown simultaneously. What is the probability that the sum on the three faces is at least 5 ?2016 (Phase 1)Classical Definition of Probability
  93. 93Two independent events A and B have and . What is the probability that exactly one of the two events A or B occurs?2016 (Phase 1)Independent Events
  94. 94A coin is tossed three times. What is the probability of getting head and tail alternately?2016 (Phase 1)Classical Definition of Probability
  95. 95If the total number of observations is and , then what is the variance of the distribution?2016 (Phase 1)Measures of Dispersion
  96. 96A card is drawn from a wel-shuffled deck of 52 cards. What is the probability that it is queen of spade?2016 (Phase 1)Classical Definition of Probability
  97. 97If two dice are thrown, then what is the probability that the sum on the two faces is greater than or equal to 4 ?2016 (Phase 1)Classical Definition of Probability
  98. 98A certain type of missile hits the target with probability . What is the least number of missiles should be fired so that there is at least 2016 (Phase 1)Bernoulli Trial and Binomial Distribution
  99. 99For two mutually exclusive events A and and . What is equal to?2016 (Phase 1)Conditional Probability and Multiplication Theorem
  100. 100What is the probability of 5 Sundays in the month of December?2016 (Phase 1)Classical Definition of Probability
  101. 101If is the geometric mean of then what is the value of ?2016 (Phase 1)Geometric Progression
  102. 102A point is chosen at random inside a rectangle measuring 6 inches by 5 inches. What is the probability that the randomly selected point is a2016 (Phase 1)Classical Definition of Probability
  103. 103The mean of the series is . If is replaced by , then what is the new mean?2016 (Phase 1)Mean
  104. 104For the data the mean, median and mode are and z respectively. Which one of the following is correct?2016 (Phase 1)Mean
  105. 105Consider the following statements in respect of a histogram: 1. The total area of the rectangles in a histogram is equal to the total area b2016 (Phase 1)Statistics
  106. 106A fair coin is tossed 100 times. What is the probability of getting tails an odd number of times?2016 (Phase 1)Bernoulli Trial and Binomial Distribution
  107. 107What is the number of ways in which 3 holiday travel tickets are to be given to 10 employees of an organization, if each employee is eligibl2016 (Phase 1)Permutation
  108. 108If one root of the equation is double the other and 1 is real, then what is the greatest value of ?2016 (Phase 1)Relation between Roots and Coefficients
  109. 109What is the number of four-digit decimal numbers in which no digit is repeated?2016 (Phase 1)Permutation
  110. 110What is a vector of unit length orthogonal to both the vectors and ?2016 (Phase 1)Product of 2 vectors
  111. 111If and are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then which one of the followi2016 (Phase 1)Algebra of Vectors
  112. 112What is the area of the parallelogram having diagonals and ?2016 (Phase 1)Product of 2 vectors
  113. 113Consider the following in respect of the matrix 1. 2. Which of the above is/are correct?2016 (Phase 1)Product of Matrices
  114. 114Which of the following determinants have value 'zero'? 1. 2. 3. Select the correct answer using the code given below.2016 (Phase 1)Expansion of Determinants
  115. 115What is the acute angle between the lines represented by the equations and ?2016 (Phase 1)Angle between Lines
  116. 116The system of linear equations and has a unique solution under which one of the following conditions?2016 (Phase 1)System of Linear Equations
  117. 117What is the number of different messages that can be represented by three 0's and two 1's?2016 (Phase 1)Combination
  118. 118If , then what is equal to?2016 (Phase 1)Logarithm
  119. 119If then what is equal to?2016 (Phase 1)Logarithm
  120. 120Suppose and are two distinct cube roots of unity different from 1 . Then what is equal to?2016 (Phase 1)Cube Root of Unity

Frequently Asked Questions

1.How many questions are in the NDA 2016 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 2016 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2016.

4.What is the structure of the NDA 2016 Phase 1 paper?

The NDA 2016 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 2016 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 126 (47%) are easy, 129 (48%) are medium and 15 (6%) are hard. Subject wise:

  • General Ability: 110 easy, 40 medium, 0 hard
  • Mathematics: 16 easy, 89 medium, 15 hard
6.Which chapters had the most questions in the NDA 2016 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (51), English (50), and General Science (49).
  • Mathematics: Probability (10), Straight Lines (10), and Functions (9).
7.Where can I find the solutions for the NDA 2016 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 2016 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 2016 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.