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NDA 2017 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2017 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 - 144 easy (53%), 125 moderate (46%) and 1 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 23% easy, 76% moderate, 1% tough; General Ability 77% easy, 23% 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 Statistics (11), Trigonometric Ratios & Identities (10), and Probability (9) carrying the most weight.

General Ability

  1. 1Select the word you consider most appropriate to fill in the blank space. I _______ you to be at the party this evening.2017 (Phase 1)Sentence Completion
  2. 2Select the word you consider most appropriate to fill in the blank space. When I met John yesterday, it was the first time I _______ him sin2017 (Phase 1)Spotting The Errors
  3. 3Select the word you consider most appropriate to fill in the blank space. He _______ to listen to my arguments and walked away.2017 (Phase 1)Fillers
  4. 4Select the word you consider most appropriate to fill in the blank space. The flow of blood was so _______ that the patient died.2017 (Phase 1)Fillers
  5. 5Select the word you consider most appropriate to fill in the blank space. You have never _______ me about your experiences in America.2017 (Phase 1)Fillers
  6. 6Select the word you consider most appropriate to fill in the blank space. I always felt hungry _______ I heard the dinner bell.2017 (Phase 1)Sentence Completion
  7. 7Select the word you consider most appropriate to fill in the blank space. Although they took every precaution, they could not _______ the ac2017 (Phase 1)Fillers
  8. 8Select the word you consider most appropriate to fill in the blank space. The ambitious nobleman _______ daughter to marry the king's daught2017 (Phase 1)Fillers
  9. 9Select the word you consider most appropriate to fill in the blank space. The dictator of that country was a monster of wickedness, insatiab2017 (Phase 1)Fillers
  10. 10Select the word you consider most appropriate to fill in the blank space. Please don't give me any more, I have had _______2017 (Phase 1)Fillers
  11. 11Select the word that is most opposite in meaning to the underlined word My first lecture in the classroom was a fiasco .2017 (Phase 1)Antonyms
  12. 12Select the word that is most opposite in meaning to the underlined word It was indeed arduous to cross streets in New York.2017 (Phase 1)Antonyms
  13. 13Select the word that is most opposite in meaning to the underlined word Unlike his brother, he is affable.2017 (Phase 1)Antonyms
  14. 14Select the word that is most opposite in meaning to the underlined word The birth of his child decidedly proved to be an auspicious event in2017 (Phase 1)Antonyms
  15. 15Select the word that is most opposite in meaning to the underlined word The witness corroborated word for word the statement of the victim.2017 (Phase 1)Antonyms
  16. 16Select the word or group of words that is most similar in meaning to the underlined word It is unwise to sever diplomatic relations with a n2017 (Phase 1)Synonyms
  17. 17Select the word or group of words that is most similar in meaning to the underlined word Bad tendencies are to be countered by good ones unt2017 (Phase 1)Synonyms
  18. 18Select the word or group of words that is most similar in meaning to the underlined word The police fired indiscriminately at the crowd, kil2017 (Phase 1)Synonyms
  19. 19Select the word or group of words that is most similar in meaning to the underlined word Businessmen who lack acumen cannot be expected to b2017 (Phase 1)Synonyms
  20. 20Select the word or group of words that is most similar in meaning to the underlined word His candid opinions have won him many friends.2017 (Phase 1)Synonyms
  21. 21Which of the following is better thssn the underlined part ? I disliked him not so much for his meanness but for his dishonesty.2017 (Phase 1)Spotting The Errors
  22. 22Which of the following is better thssn the underlined part ? He preferred death rather than imprisonment.2017 (Phase 1)Sentence Improvement
  23. 23Which of the following is better thssn the underlined part ? They kept the idea secretly.2017 (Phase 1)Sentence Improvement
  24. 24Which of the following is better thssn the underlined part ? He ought not to tell me your secret, but he did.2017 (Phase 1)Sentence Improvement
  25. 25Which of the following is better thssn the underlined part ? If I don't know the meaning of a word, I look it after in the dictionary.2017 (Phase 1)Idioms and Phrases
  26. 26Which of the following is better thssn the underlined part ? Mr. and Mrs. Rao stay in their home every evening.2017 (Phase 1)Sentence Improvement
  27. 27Which of the following is better thssn the underlined part ? When we saw him last, he ran to catch a bus.2017 (Phase 1)Sentence Improvement
  28. 28Which of the following is better thssn the underlined part ? She cut a sad figure in her first performance on the stage.2017 (Phase 1)Idioms and Phrases
  29. 29Which of the following is better thssn the underlined part ? Last evening I went to the optician and bought spectacles.2017 (Phase 1)Spotting The Errors
  30. 30Which of the following is better thssn the underlined part ? I would like to avail a fifteen day's holiday this summer.2017 (Phase 1)Spotting The Errors
  31. 31Each item in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there2017 (Phase 1)Spotting The Errors
  32. 32Each item in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there2017 (Phase 1)Spotting The Errors
  33. 33Each item in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there2017 (Phase 1)Spotting The Errors
  34. 34Each item in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there2017 (Phase 1)Spotting The Errors
  35. 35Each item in this section has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find out whether there2017 (Phase 1)Spotting The Errors
  36. 36Passage-I We had just passed Tenali, where I roused myself in order to hear the name of the station. As I was falling asleep again, a violen2017 (Phase 1)Comprehension Ability
  37. 37Passage-I We had just passed Tenali, where I roused myself in order to hear the name of the station. As I was falling asleep again, a violen2017 (Phase 1)Comprehension Ability
  38. 38Passage-I We had just passed Tenali, where I roused myself in order to hear the name of the station. As I was falling asleep again, a violen2017 (Phase 1)Comprehension Ability
  39. 39Passage-I I was beginning to tire a little now. I had been cutting steps continuously for two hours, and Tenzing, too was moving very slowly2017 (Phase 1)Comprehension Ability
  40. 40Passage-I I was beginning to tire a little now. I had been cutting steps continuously for two hours, and Tenzing, too was moving very slowly2017 (Phase 1)Comprehension Ability
  41. 41Passage-I I was beginning to tire a little now. I had been cutting steps continuously for two hours, and Tenzing, too was moving very slowly2017 (Phase 1)Comprehension Ability
  42. 42Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Jumbled Sentences & Paragraphs
  43. 43Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Sentence Improvement
  44. 44Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Sentence Improvement
  45. 45Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Spotting The Errors
  46. 46Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Jumbled Sentences & Paragraphs
  47. 47Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Sentence Improvement
  48. 48Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Spotting The Errors
  49. 49Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Jumbled Sentences & Paragraphs
  50. 50Rearrange the jumbled parts of the sentence The proper sequence should be2017 (Phase 1)Sentence Improvement
  51. 51Which one of the following devices changes low voltage alternating current to high voltage alternating current and vice versa?2017 (Phase 1)Physics
  52. 52An optical illusion which occurs mainly in deserts during hot summer is based on the principle of2017 (Phase 1)Physics
  53. 53At which place Earth's magnetic field becomes horizontal?2017 (Phase 1)Physics
  54. 54The speed of a car travelling on a straight road is listed below at successive intervals of 1s is : Which of the following is/are correct? T2017 (Phase 1)Physics
  55. 55The speed of a body that has Mach number more than 1 is2017 (Phase 1)Physics
  56. 56Molecules of which of the following has cage like structure? 1. Diamond 2. Graphite 3. Fullerenes Select the correct answer using the code g2017 (Phase 1)Chemistry
  57. 57Temporary hardness in water is due to which one of the following of Calcium and Magnesium?2017 (Phase 1)Chemistry
  58. 58Stung by hairs of nettle leaves causes burning pain. This is due to the injection of2017 (Phase 1)Biology
  59. 59Which one of the following elements is least reactive with water?2017 (Phase 1)Chemistry
  60. 60Rutherford's alpha-particle scattering experiment was responsible for the discovery of2017 (Phase 1)Chemistry
  61. 61Glass is a2017 (Phase 1)Chemistry
  62. 62Cell wall of any fungus is different from plants in having2017 (Phase 1)Biology
  63. 63Sleeping sickness is a parasitic disease of humans and other animals. It is caused by2017 (Phase 1)Biology
  64. 64Which one of the following agencies enforces the laws on food security in India?2017 (Phase 1)General Knowledge
  65. 65Dengue virus causes high fever, rashes and reduces the number of a particular type of blood cells. Those blood cells are2017 (Phase 1)Biology
  66. 66Kidney secretes an enzyme, which changes plasma protein angiotensinogen into angiotensin. The enzyme is2017 (Phase 1)Biology
  67. 67Red blood cells (RBCs) have2017 (Phase 1)Biology
  68. 68According to the Census 2011, the density of population in which one among the following States in the lowest?2017 (Phase 1)Geography
  69. 69Headquarters of the World Meteorological Organization is located in2017 (Phase 1)General Knowledge
  70. 70Match List I List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  71. 71Consider the following statements pertaining to Coffee plantation in India : 1. Need warm and moist climate with a spell of dry weather duri2017 (Phase 1)Geography
  72. 72Dr. Urjit Patel, who has been appointed recently as Governor of Reserve Bank of India, was holding which position immediately prior to this 2017 (Phase 1)General Knowledge
  73. 73Who among the following personalities is NOT a Governor of any Indian State?2017 (Phase 1)General Knowledge
  74. 74Which of the following cricket teams was defeated by India to lift the Women's Twenty 20 Asia Cup 2016?2017 (Phase 1)General Knowledge
  75. 75Which one of the following was the venue of 2nd BRICS Youth Summit of the Ministers, Officials and Youth Delegations?2017 (Phase 1)General Knowledge
  76. 76Which one among the following States of India has recently proposed to frame the first Internal Security Act to deal wih the challenges of t2017 (Phase 1)General Knowledge
  77. 77The World Humanitarian Day is being observed every year on which date?2017 (Phase 1)General Knowledge
  78. 78Surge pricing takes place when a service provider2017 (Phase 1)Economy
  79. 79By fulfilling which of the following conditions can a political party claim the status of a national party? 1. It secures at least six per c2017 (Phase 1)Polity
  80. 80In its emphasis on enhancing human capabilities, which one among the following does NOT figure in the Twelfth Five-Year Plan?2017 (Phase 1)Economy
  81. 81Which one of the following is NOT a target of the 12th Five-Year Plan?2017 (Phase 1)Economy
  82. 82Which one of the following statements is NOT correct?2017 (Phase 1)Physics
  83. 83The amount of heat required to change a liquid to gaseous state without any change in temperature is known as2017 (Phase 1)Physics
  84. 84The following figure shows displacement versus time curve for a particle executing simple harmonic motion : Which one of the following state2017 (Phase 1)Physics
  85. 85Match List I with List II and select the correct answer using the code given below the Lists:2017 (Phase 1)Physics
  86. 86A circular coil of single turn has a resistance of . Which one of the following is the correct value for the resistance between the ends of 2017 (Phase 1)Physics
  87. 87In a solenoid, the current flowing through the wire is I and number of turns per unit length is . This gives a magnetic field inside the sol2017 (Phase 1)Physics
  88. 88Which one of the following statements is correct about the magnification of an optical microscope?2017 (Phase 1)Physics
  89. 89A homogeneous mixture contains two liquids. How are they separated?2017 (Phase 1)Chemistry
  90. 90Which one of the following elements forms highest number of compounds?2017 (Phase 1)Chemistry
  91. 91Which one of the following elements corrodes rapidly?2017 (Phase 1)Chemistry
  92. 9220 g of common salt is dissolved in 180 g of water. What is the mass percentage of the salt in the solution?2017 (Phase 1)Chemistry
  93. 93The valency of an element depends upon the2017 (Phase 1)Chemistry
  94. 94Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Chemistry
  95. 95Colour vision in human eyes is the function of photoreceptor cells named2017 (Phase 1)Biology
  96. 96Which one of the following statements is NOT correct?2017 (Phase 1)Chemistry
  97. 97Sugarcane is one of the important cash crops in India. It is grown to obtain2017 (Phase 1)Biology
  98. 98The colourful part of the Sunflower or Marigold plant is2017 (Phase 1)Biology
  99. 99Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  100. 100Which one among the following is the correct order of tiger reserves situated from North to South in India?2017 (Phase 1)Geography
  101. 101Which of the following are correct with regard of Indian Monsoonal Rainfall? 1. Largely governed by the topographical features 2. Regional a2017 (Phase 1)Geography
  102. 102Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  103. 103Which one of the following Himalayan rivers does NOT originate from across the Himalayas?2017 (Phase 1)Geography
  104. 104The Headquarters of Eastern Railway Zone of Indian Railway is located at2017 (Phase 1)General Knowledge
  105. 105Which one among the following countries is the largest trading partner of India in external trade for the year 2015-2016?2017 (Phase 1)General Knowledge
  106. 106The radii of curvature of the faces of a double convex lens are 10 cm and 20 cm . The refractive index of the glass is 1.5 . What is the pow2017 (Phase 1)Physics
  107. 107The time period of a simple pendulum made using a thin copper wire of length L is T . Suppose the temperature of the room in which this simp2017 (Phase 1)Physics
  108. 108Which one of the following physical quantity has the same unit as that of pressure?2017 (Phase 1)Physics
  109. 109Which one of the following statements is correct with regard to the material of electrical insulators?2017 (Phase 1)Physics
  110. 110Which one of the following physical quantities does NOT affect the resistance of a cylindrical resistor?2017 (Phase 1)Physics
  111. 111Which one of the following statements regarding King Krishnadevaraya is NOT correct?2017 (Phase 1)History
  112. 112Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Polity
  113. 113Which one of the following was NOT a cause of the Revolt of 1857 ?2017 (Phase 1)History
  114. 114Which one of the following was NOT a feature of the Subsidiary Alliance of Lord Wellesley?2017 (Phase 1)History
  115. 115Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  116. 116Which of the following are the major coral reef areas of India? 1. Gulf of Kachchh 2. Gulf of Mannar 3. Lakshadweep 4. Andaman and Nicobar I2017 (Phase 1)Geography
  117. 117Which of the following regions is/are NOT known for cotton-textile industry? 1. Mumbai-Pune region 2. Madurai-Coimbatore region 3. Dhanbad-J2017 (Phase 1)Geography
  118. 118Which one of the following States does NOT have the Headquarters of any Railway Zone?2017 (Phase 1)General Knowledge
  119. 119Suppose a rod is given a negative charge by rubbing it with wool. Which one of the following statements is correct in this case?2017 (Phase 1)Physics
  120. 120Which one of the following is the correct relation between frequency and angular frequency ?2017 (Phase 1)Physics
  121. 121A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. What would be the corresponding reading i2017 (Phase 1)Physics
  122. 122If the potential difference applied to an X-ray tube is doubled while keeping the separation between the filament and the target as same, wh2017 (Phase 1)Physics
  123. 123Which one of the following statements is true for the relation ? (All symbols have their usual meanings)2017 (Phase 1)Physics
  124. 124Why is it difficult to measure the coefficient of expansion of a liquid than solid?2017 (Phase 1)Physics
  125. 125Radon is2017 (Phase 1)Chemistry
  126. 126The chemical name of baking soda is2017 (Phase 1)Chemistry
  127. 127Which one of the following elements is used in pencil-lead?2017 (Phase 1)Chemistry
  128. 128Who among the following is one of the authors of the book "Philosophy of the Bomb"?2017 (Phase 1)General Knowledge
  129. 129Which of the following statements about the Chittagong group is NOT correct?2017 (Phase 1)History
  130. 130Which one of the following was a significant feature of the Quit India Movement?2017 (Phase 1)History
  131. 131Which one of the following characteristics does NOT describe the Khilafat movement?2017 (Phase 1)History
  132. 132Which one of the following was NOT a feature of railways in colonial India?2017 (Phase 1)History
  133. 133Which colonial administrator made the following declaration about the partition of Bengal in 1904? "Bengal united is a power. Bengal divided2017 (Phase 1)History
  134. 134Who launched the Bardoli Satyagraha on 4th February, 1928 ?2017 (Phase 1)History
  135. 135Which one of the following Princely States did NOT support the Congress during the course of the Civil Disobedience Movement?2017 (Phase 1)History
  136. 136Which one of the following is a feature of thought and philosophy of the Kandukuri Viresalingam?2017 (Phase 1)History
  137. 137Name the calligrapher in Akbar's court who was honoured with the title "Zarrin Kalam" or Golden Pen2017 (Phase 1)History
  138. 138Which one of the following sections of the Golden Quadrilateral Highway in India is the longest in terms of route distance?2017 (Phase 1)Geography
  139. 139Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  140. 140Match List I with List II and select the correct answer using the code given below the Lists :2017 (Phase 1)Geography
  141. 141Which one of the following pairs of Tribe and State is NOT correctly matched?2017 (Phase 1)Geography
  142. 142If the absolute refractive indices of glass and water are and respectively, what will be the ratio of velocity of light in glass and water?2017 (Phase 1)Physics
  143. 143A positive charge is placed at the centre of a hollow metallic sphere of inner radius a and outer radius . The electric field at a distance 2017 (Phase 1)Physics
  144. 144Consider the following Indian States: 1. Bihar 2. Rajasthan 3. Jammu and Kashmir 4. Haryana Which one of the following is the correct ascend2017 (Phase 1)Geography
  145. 145Who among the following was the author of the Badshah Nama?2017 (Phase 1)History
  146. 146Which one of the following statements about Fatehpur Sikri is NOT correct?2017 (Phase 1)History
  147. 147Which one of the following cities hosted the 3rd World Trauma Congress recently?2017 (Phase 1)General Knowledge
  148. 148Which one of the following is NOT one of the objectives of Act East Policy?2017 (Phase 1)Polity
  149. 149Arrange the following countries in ascending order on the basis of the total medals earned by them in Rio Olympic 2016: 1. United States 2. 2017 (Phase 1)General Knowledge
  150. 150Which one of the following is NOT an objective of the National Civil Aviation Policy 2016?2017 (Phase 1)Polity

Mathematics

  1. 1Let be the set of all persons living in Delhi. We say that , in are related if they were born in Delhi on the same day. Which one of the fol2017 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  2. 2Let . Then the number of subsets of A containing two or three elements is2017 (Phase 1)Combination
  3. 3The value of , where , is2017 (Phase 1)Power of iota
  4. 4If the difference between the roots of the equation is strictly less than , where , then k can be any element of the interval2017 (Phase 1)Relation between Roots and Coefficients
  5. 5If the roots of the equation are in the same ratio as those of the equation , then which one of the following is correct?2017 (Phase 1)Relation between Roots and Coefficients
  6. 6The value of where n is not a multiple of 3 and , is2017 (Phase 1)De Moivres Theorem
  7. 7Three-digit numbers are formed from the digits 1,2 and 3 in such a way that the digits are not repeated. What is the sum of such three-digit2017 (Phase 1)Summation of Numbers
  8. 8What is the sum of the series terms?2017 (Phase 1)Geometric Progression
  9. 9If are the cube roots of unity, then is equal to2017 (Phase 1)Cube Root of Unity
  10. 10If the sum of terms of an AP is and the sum of terms is m , then the sum of terms is2017 (Phase 1)Arithmetic Progression
  11. 11The modulus and principal argument of the complex number are respectively2017 (Phase 1)Conjugate, modulus and argument
  12. 12If the graph of a quadratic polynomial lies entirely above x -axis, then which one of the following is correct?2017 (Phase 1)Graph and Sign of Quadratic
  13. 13If , then the maximum value of is2017 (Phase 1)Conjugate, modulus and argument
  14. 14The number of roots of the equation is2017 (Phase 1)Conjugate, modulus and argument
  15. 15If and are the roots of the equation with , then the value of is2017 (Phase 1)Relation between Roots and Coefficients
  16. 16The sum of the roots of the equation (where b and c are non-zero) is equal to the sum of the reciprocals of their squares. Then are in2017 (Phase 1)Relation between Roots and Coefficients
  17. 17The sum of the roots of the equation (where a and c are non-zero) is equal to the sum of the reciprocals of their squares. Then a, are in2017 (Phase 1)Relation between Roots and Coefficients
  18. 18The value of is2017 (Phase 1)Properties of Binomial Coefficients
  19. 19The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of the word 'E2017 (Phase 1)Permutation
  20. 20The fifth term of an AP of terms, whose sum is , is2017 (Phase 1)Arithmetic Progression
  21. 21The sum of all the two-digit odd numbers is2017 (Phase 1)Arithmetic Progression
  22. 22The sum of the first n terms of the series . is equal to2017 (Phase 1)Summation of Series
  23. 23Consider the following in respect of sets A and B : 1. 2. 3. 4. Which of the above are correct?2017 (Phase 1)Questions on Venn Diagram
  24. 24In the binary equation where and r are binary digits, what are the possible values of and respectively?2017 (Phase 1)Arithmetic Operations of Binary Numbers
  25. 25If is real , then is2017 (Phase 1)Relation between Roots and Coefficients
  26. 26The expansion of is done in the descending powers of . If the sum of the fifth and sixth terms is zero, then is equal to2017 (Phase 1)Terms of Binomial Expansion
  27. 27If and , then is equal to2017 (Phase 1)Inverse of a Matrix
  28. 28If is a non-singular matrix and is a square matrix, then the value of is equal to2017 (Phase 1)Product of Matrices
  29. 29If , then one value of which satisfies the equation is given by2017 (Phase 1)Expansion of Determinants
  30. 30If then what is equal to (where is the transpose of A ?2017 (Phase 1)Formation and Basic of Matrix
  31. 31The equations2017 (Phase 1)System of Linear Equations
  32. 32and . If , then what is equal to?2017 (Phase 1)Product of Matrices
  33. 33What is the value of the determinant?2017 (Phase 1)Expansion of Determinants
  34. 34If , then which one of the following is correct?2017 (Phase 1)Expansion of Determinants
  35. 35Consider the set A of all matrices of order with entries 0 or 1 only. Let be the subset of consisting of all matrices whose determinant is 12017 (Phase 1)Inverse of a Matrix
  36. 36If , then what is equal to?2017 (Phase 1)Product of Matrices
  37. 37What is the order of2017 (Phase 1)Product of Matrices
  38. 38If , then the value of is2017 (Phase 1)Product of Matrices
  39. 39If , where , then is equal to2017 (Phase 1)T-Ratios of Multiple & sub multiple angles
  40. 40What is equal to?2017 (Phase 1)Sum and Difference & Multiple angle Formula
  41. 41From the top of a lighthouse, 100 m high, the angle of depression of a boat is . What is the distance between the boat and the lighthouse?2017 (Phase 1)Heights and Distances
  42. 42The maximum value of in the interval is attained at2017 (Phase 1)Maximum and Minimum Values
  43. 43If , then what is the value of K ?2017 (Phase 1)Sum and Difference & Multiple angle Formula
  44. 44The expression is equal to2017 (Phase 1)Transformation Formulas
  45. 45If , then the value of is equal to2017 (Phase 1)Sum and Difference & Multiple angle Formula
  46. 46What is the value of2017 (Phase 1)Basic Identities & T Ratios
  47. 47Let be positive real numbers such that are in GP and and are in AP. Then which one of the following is correct?2017 (Phase 1)Sum and difference of angles
  48. 48If and , then is equal to2017 (Phase 1)Sum and Difference & Multiple angle Formula
  49. 49Consider the following for triangle ABC : 1. 2. 3. 4. Which of the above are correct?2017 (Phase 1)Sine Rule and its application
  50. 50If , then what is equal to?2017 (Phase 1)Basic Identities & T Ratios
  51. 51If a vertex of a triangle is and the midpoints of two sides of the triangle through this vertex are and , then the centroid of the triangle 2017 (Phase 1)Coordinate System
  52. 52The incentre of the triangle with vertices and is2017 (Phase 1)Coordinate System
  53. 53If the three consecutive vertices of a parallelogram are and , then what are the coordinates of the fourth vertex?2017 (Phase 1)Coordinate System
  54. 54The two circles and intersect at two distinct points. Then which one of the following is correct?2017 (Phase 1)Intersection of Circles
  55. 55What is the equation of the circle which passes through the points and and having its centre on the line ?2017 (Phase 1)Equation of Circle & its intercept
  56. 56What is the ratio in which the point divides the line joining the points and ?2017 (Phase 1)Coordinate System
  57. 57What is the equation of the ellipse having foci and the eccentricity ?2017 (Phase 1)Equation of Ellipse
  58. 58What is the equation of the straight line parallel to and passes through the point ?2017 (Phase 1)Derived Forms of Line
  59. 59What is the acute angle between the pair of straight lines and2017 (Phase 1)Angle between Lines
  60. 60If the centroid of a triangle formed by and is , then the values of and are respectively2017 (Phase 1)Coordinate System
  61. 61A straight line with direction cosines is2017 (Phase 1)Direction Cosines and Direction Ratios
  62. 62and are four distinct points. What are the coordinates of the point which is equidistant from the four points?2017 (Phase 1)Basics of point in 3 dimension
  63. 63The points and are2017 (Phase 1)Basics of point in 3 dimension
  64. 64The line passing through the points and meets the yz-plane at which one of the following points?2017 (Phase 1)Line in Space
  65. 65Under which one of the following conditions are the lines and perpendicular?2017 (Phase 1)Line in Space
  66. 66If and are three coplanar vectors and , then which one of the following is correct?2017 (Phase 1)Algebra of Vectors
  67. 67Let be a parallelogram whose diagonals intersect at P and let O be the origin. What is equal to?2017 (Phase 1)Algebra of Vectors
  68. 68ABCD is a quadrilateral whose diagonals are AC and BD . Which one of the following is correct?2017 (Phase 1)Algebra of Vectors
  69. 69If and , then which one of the following is correct?2017 (Phase 1)Product of 2 vectors
  70. 70If and are perpendicular, then what is the value of ?2017 (Phase 1)Product of 2 vectors
  71. 71What is equal to?2017 (Phase 1)Algebraic and Rational Limits
  72. 72What is equal to?2017 (Phase 1)Definite Integration by Substitution
  73. 73What is equal to?2017 (Phase 1)Integration by Substitution
  74. 74The function defined by , where , is one-one and onto if X and Y are respectively equal to2017 (Phase 1)Types of Function (Mapping)
  75. 75If , then what is equal to?2017 (Phase 1)Composite Function
  76. 76What is equal to?2017 (Phase 1)Integration by Substitution
  77. 77Let defined by . Consider the following: 1. 2. Which of the above is correct?2017 (Phase 1)Composite Function
  78. 78Let and . Then is equivalent to2017 (Phase 1)Composite Function
  79. 79, then what is equal to?2017 (Phase 1)Differentiability
  80. 80What is equal to?2017 (Phase 1)Higher order derivatives
  81. 81Let and If and , then is2017 (Phase 1)Types of Function (Mapping)
  82. 82What is the length of the longest interval in which the function is increasing?2017 (Phase 1)Monotonicity
  83. 83If and , then what is equal to?2017 (Phase 1)Variable Separable Form
  84. 84What is the maximum value of the function2017 (Phase 1)Maximum and Minimum Values
  85. 85Let be an indefinite integral of . Consider the following statements : Statement 1 : The function satisfies for all real x . Statement for a2017 (Phase 1)Fundamental of Indefinite Integration
  86. 86What are the degree and order respectively of the differential equation ?2017 (Phase 1)Order and Degree
  87. 87What is the differential equation corresponding to by eliminating ?2017 (Phase 1)Formation of Differential Equation
  88. 88What is the general solution of the differential equation ?2017 (Phase 1)Linear Differential Equation
  89. 89Let for all x and y . Then what is equal to [where is the derivative of ]?2017 (Phase 1)Differentiation of composite functions
  90. 90If and are continuous functions satisfying and , then what is equal to?2017 (Phase 1)Properties of Definite Integration
  91. 91What is the solution of the differential equation ?2017 (Phase 1)Variable Separable Form
  92. 92Let be defined as follows : Which one of the following statements is correct in respect of the above function?2017 (Phase 1)Continuity
  93. 93Consider the following statements: 1. If and both exist, then exists. 2. If exists, then both and must exist. Which of the above statements 2017 (Phase 1)Existance of Limit
  94. 94Which one of the following functions is neither even nor odd?2017 (Phase 1)Odd and Even Functions
  95. 95What is the derivative of with respect to x ?2017 (Phase 1)Differentiation of composite functions
  96. 96Let . Consider the following : 1) \(f(2 a)=f(a)+1\) 2) \(f ( {1}{a} )=-f(a)\) Which of the above is/are correct?2017 (Phase 1)Composite Function
  97. 97What is the maximum area of a triangle that can be inscribed in a circle of radius a?2017 (Phase 1)Maxima Minima
  98. 98Let , when . Then which one of the following is correct?2017 (Phase 1)Monotonicity
  99. 99Suppose the function is differentiable for all . Then can be any element of the interval2017 (Phase 1)Differentiability
  100. 100What is equal to?2017 (Phase 1)Properties of Definite Integration
  101. 101The variance of 20 observations is 5 . If each observation is multiplied by 3 , then what is the new variance of the resulting observations?2017 (Phase 1)Measures of Dispersion
  102. 102The mean of a group of 100 observations was found to be 20 . Later it was found that four observations were incorrect, which were recorded a2017 (Phase 1)Mean
  103. 103A committee of two persons is contituted from two men and two women. What is the probability that the committee will have only women?2017 (Phase 1)Classical Definition of Probability
  104. 104A question is given to three students and C whose chances of solving it are and respectively. What is the probability that the question will2017 (Phase 1)Total Probability
  105. 105The mean weight of 150 students in a certain class is 60 kg . The mean weight of boys in the class is 70 kg and that of girls is 55 kg . Wha2017 (Phase 1)Mean
  106. 106For two dependent events A and B , it is given that and . If , then the values of conditional probabilites and are respectively2017 (Phase 1)Conditional Probability and Multiplication Theorem
  107. 107A point is chosen at random inside a circle. What is the probability that the point is closer to the centre of the circle than to its bounda2017 (Phase 1)Classical Definition of Probability
  108. 108If two regression lines between height ( x ) and weight ( y ) are and , then what will be the correlation coefficient between height and wei2017 (Phase 1)Relation Between Variance and Mean Deviation
  109. 109In an examination, of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second c2017 (Phase 1)Statistics
  110. 110Consider the following statements : Statement Range is not a good measure of dispersion. Statement 2 : Range is highly affected by the exist2017 (Phase 1)Measures of Dispersion
  111. 111A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?2017 (Phase 1)Classical Definition of Probability
  112. 112If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct?2017 (Phase 1)Relation Between Variance and Mean Deviation
  113. 113Data can be represented in which of the following forms? 1. Textual form 2. Tabular form 3. Graphical form Select the correct answer using t2017 (Phase 1)Statistics
  114. 114For given statistical data, the graphs for less than ogive and more than ogive are drawn. If the point at which the two curves intersect is 2017 (Phase 1)Median
  115. 115Consider the following statements : 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other2017 (Phase 1)Addition and Subtraction Theorems
  116. 116If the regression coefficient of x on y and y on x are and respectively, then what is the correlation coefficient between x and y ?2017 (Phase 1)Statistics
  117. 117A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35 . I2017 (Phase 1)Median
  118. 118If two fair dice are thrown, then what is the probability that the sum is neither 8 nor 9 ?2017 (Phase 1)Classical Definition of Probability
  119. 119Let A and B are two mutually exclusive events with and . What is the value of2017 (Phase 1)Addition and Subtraction Theorems
  120. 120The mean and standard deviation of a binomial distribution are 12 and 2 respectively. What is the number of trials?2017 (Phase 1)Random Variable and its Probability Distribution

Frequently Asked Questions

1.How many questions are in the NDA 2017 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 2017 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2017.

4.How is the NDA 2017 Phase 1 paper structured?

The NDA 2017 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.How difficult is the NDA 2017 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 144 (53%) are easy, 125 (46%) are medium and 1 (0%) are hard. Subject wise:

  • General Ability: 116 easy, 34 medium, 0 hard
  • Mathematics: 28 easy, 91 medium, 1 hard
6.Which chapters were asked the most in the NDA 2017 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: Statistics (11), Trigonometric Ratios & Identities (10), and Probability (9).
7.Where can I find the solutions for the NDA 2017 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 2017 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 2017 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.