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NDA 2019 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2019 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 - 158 easy (59%), 112 moderate (41%) and 0 tough (0%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Mathematics 33% easy, 67% moderate, 0% tough; General Ability 79% easy, 21% moderate, 0% tough.

General Ability questions were entirely from General Studies (54), General Science (49), and English (47). Mathematics questions were spread across 31 chapters, with Trigonometric Ratios & Identities (18), Probability (16), and Sets and Relations (7) carrying the most weight.

General Ability

  1. 1Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  2. 2Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  3. 3Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  4. 4Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  5. 5Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  6. 6Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  7. 7Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  8. 8Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  9. 9Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  10. 10Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2019 (Phase 1)Spotting The Errors
  11. 11Select the option that is nearest in meaning to the underlined word Some people complain when they encounter a small misfortune in the cours2019 (Phase 1)Idioms and Phrases
  12. 12Select the option that is nearest in meaning to the underlined word This world is full of miseries .2019 (Phase 1)Synonyms
  13. 13Select the option that is nearest in meaning to the underlined word A glance at a beautiful object gives us delight .2019 (Phase 1)Synonyms
  14. 14Select the option that is nearest in meaning to the underlined word It is terrible for people to die of starvation .2019 (Phase 1)Synonyms
  15. 15Select the option that is nearest in meaning to the underlined word The university has constituted a grievance redressal committee to look i2019 (Phase 1)Synonyms
  16. 16Select the option that is nearest in meaning to the underlined word Rakesh delivered a slanderous speech2019 (Phase 1)Synonyms
  17. 17Select the option that is nearest in meaning to the underlined word Suddenly, the sky was darkened by a gigantic bird.2019 (Phase 1)Synonyms
  18. 18Select the option that is nearest in meaning to the underlined word To abolish poverty would be to destroy the soil upon which mankind produ2019 (Phase 1)Synonyms
  19. 19Select the option that is nearest in meaning to the underlined word The Arabs who are not in the cities live in the desert throughout the ye2019 (Phase 1)Synonyms
  20. 20Select the option that is nearest in meaning to the underlined word The various facets of life can be found reflected in a large city.2019 (Phase 1)Synonyms
  21. 21Select the option that is opposite in meaning to the underlined word. Ramesh is a very dubious character.2019 (Phase 1)Antonyms
  22. 22Select the option that is opposite in meaning to the underlined word. Do not indulge in unmindful activities, please.2019 (Phase 1)Antonyms
  23. 23Select the option that is opposite in meaning to the underlined word. He is suffering from a curable disease.2019 (Phase 1)Antonyms
  24. 24Select the option that is opposite in meaning to the underlined word. He was born on a very auspicious day.2019 (Phase 1)Antonyms
  25. 25Select the option that is opposite in meaning to the underlined word. He has deeper hostility towards Mohan.2019 (Phase 1)Antonyms
  26. 26Select the option that is opposite in meaning to the underlined word. His life is rather monotonous .2019 (Phase 1)Antonyms
  27. 27Select the option that is opposite in meaning to the underlined word. Macbeth is a morally repulsive character.2019 (Phase 1)Antonyms
  28. 28Select the option that is opposite in meaning to the underlined word. The serene beauty of Kashmir had a soothing effect on his mind.2019 (Phase 1)Antonyms
  29. 29Select the option that is opposite in meaning to the underlined word. Life is transient in nature.2019 (Phase 1)Antonyms
  30. 30Select the option that is opposite in meaning to the underlined word. Sohan is a vain person.2019 (Phase 1)Antonyms
  31. 31Choose the most appropriate meanings from among the options A dark horse2019 (Phase 1)Idioms and Phrases
  32. 32Choose the most appropriate meanings from among the options A show-stopper2019 (Phase 1)Idioms and Phrases
  33. 33Choose the most appropriate meanings from among the options A jack of all trades2019 (Phase 1)Idioms and Phrases
  34. 34Choose the most appropriate meanings from among the options Fight tooth and nail2019 (Phase 1)Idioms and Phrases
  35. 35Choose the most appropriate meanings from among the options Fair and square2019 (Phase 1)Idioms and Phrases
  36. 36In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2019 (Phase 1)Jumbled Sentences & Paragraphs
  37. 37In this section each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The2019 (Phase 1)Jumbled Sentences & Paragraphs
  38. 38DIRECTIONS : Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been2019 (Phase 1)Jumbled Sentences & Paragraphs
  39. 39P. both intense political and Q. this state has a history of R. of syncretic accomplishments S. religious contestation and2019 (Phase 1)Jumbled Sentences & Paragraphs
  40. 40P) the father also Q) in his quest for justice R) by the system S) feels let down2019 (Phase 1)Jumbled Sentences & Paragraphs
  41. 41Carefully read the given passage and answer the questions that follow. I do not wish to suggest that because we were one nation we had no di2019 (Phase 1)History
  42. 42Carefully read the given passage and answer the questions that follow. I do not wish to suggest that because we were one nation we had no di2019 (Phase 1)History
  43. 43Carefully read the given passage and answer the questions that follow. I do not wish to suggest that because we were one nation we had no di2019 (Phase 1)Comprehension Ability
  44. 44Carefully read the given passage and answer the questions that follow. I do not wish to suggest that because we were one nation we had no di2019 (Phase 1)Comprehension Ability
  45. 45Carefully read the given passage and answer the questions that follow. I do not wish to suggest that because we were one nation we had no di2019 (Phase 1)Comprehension Ability
  46. 46Select the word you consider most appropriate to fill in the blank space. _____ forests prevent erosion.2019 (Phase 1)Biology
  47. 47Select the word you consider most appropriate to fill in the blank space. Three people were arrested and an illegal arms unit was _____ by t2019 (Phase 1)Fillers
  48. 48Select the word you consider most appropriate to fill in the blank space. A woman got into the car and ____2019 (Phase 1)Miscellaneous English
  49. 49Select the word you consider most appropriate to fill in the blank space. The lecture was not very interesting. In fact I _____ in the middl2019 (Phase 1)Idioms and Phrases
  50. 50Select the word you consider most appropriate to fill in the blank space. The cops _____ murder by kin.2019 (Phase 1)Miscellaneous English
  51. 51Which one of the following cell organelles does NOT possess nucleic acid?2019 (Phase 1)Biology
  52. 52Which one of the following cell organelles does NOT possess its own genetic material encoding proteins ?2019 (Phase 1)Biology
  53. 53Which one of the following is NOT a component of conducting tissue in plants ?2019 (Phase 1)Biology
  54. 54Which one of the following organisms has vascular tissues?2019 (Phase 1)Biology
  55. 55Which one of the following organisms represents the primary consumer category in an ecosystem?2019 (Phase 1)Biology
  56. 56Spring tides refer to2019 (Phase 1)Geography
  57. 57Which one of the following energy is stored in the links between the atoms?2019 (Phase 1)Chemistry
  58. 58The light energy escaping from the Sun can be spread by2019 (Phase 1)Physics
  59. 59The correct sequence of energy transfer that occurs when an apple falls to the ground is2019 (Phase 1)Physics
  60. 60Which one of the following minerals is used as a fuel in nuclear power stations?2019 (Phase 1)General Knowledge
  61. 61Which one of the following is NOT a synthetic detergent?2019 (Phase 1)Chemistry
  62. 62Which one of the following is an example of a clean fuel?2019 (Phase 1)Chemistry
  63. 63Which one of the following metals does NOT react with cold water?2019 (Phase 1)Chemistry
  64. 64In which of the following pairs are the ions isoelectronic?2019 (Phase 1)Chemistry
  65. 65Which one of the following is used as a binder in paints?2019 (Phase 1)Chemistry
  66. 66Which one of the following is NOT true in reference to Air mass ?2019 (Phase 1)Geography
  67. 67National Water Academy, a centre of excellence in training and capacity building in water resource, is located at2019 (Phase 1)General Knowledge
  68. 68"Campos" and "Llanos", Tropical Savanna grasslands are generally found in2019 (Phase 1)Geography
  69. 69"Viticulture" is a common feature of which one of the following Australian cities ?2019 (Phase 1)Geography
  70. 70"Shamal" warm and dry wind is a "Local" wind found in2019 (Phase 1)Geography
  71. 71"Inversion of Rainfall" is associated with2019 (Phase 1)Geography
  72. 72Who was the author of the book 'History of British India' ?2019 (Phase 1)History
  73. 73The Azamgarh Proclamation of August 25, 1857 stressed on which one of the following issues ?2019 (Phase 1)History
  74. 74Which Viceroy had made the observation, "It's a beautiful world if it wasn't for Gandhi "?2019 (Phase 1)History
  75. 75Which Indian businessman favoured 'healthy capitalism' in helping Gandhiji to work towards a 'common object' ?2019 (Phase 1)History
  76. 76The art piece "In Memoriam" was a creation of which one of the following European painters?2019 (Phase 1)General Knowledge
  77. 77Which one of the following can charge an insulator?2019 (Phase 1)Physics
  78. 78At , the speed of sound in water is approximately2019 (Phase 1)Physics
  79. 79Which one of the following could be the melting point of iron?2019 (Phase 1)Chemistry
  80. 80Let us consider a copper wire having radius and length . Let its resistance be . If the radius of another copper wire is and the length is t2019 (Phase 1)Physics
  81. 81Basic scientific principle behind a nuclear reactor is2019 (Phase 1)Physics
  82. 82Which one of the following statements is NOT correct for the given reaction?2019 (Phase 1)Chemistry
  83. 83Which one of the following is an organic acid?2019 (Phase 1)Chemistry
  84. 84Dinitrogen and dioxygen are the main constituents of air but they do not react with each other to form oxides of nitrogen because2019 (Phase 1)Chemistry
  85. 85Who among the following has explained the phenomenon of photoelectric effect?2019 (Phase 1)Physics
  86. 86The equivalent weight of oxalic acid in is2019 (Phase 1)Chemistry
  87. 87Which one of the following is NOT a west flowing river ?2019 (Phase 1)Geography
  88. 88Which one of the following rivers was earlier known as "Vitasta" ?2019 (Phase 1)History
  89. 89River Sarda drains in the Northern Plains of Uttar Pradesh. Before entering in the Plains, Sarda is known as2019 (Phase 1)Geography
  90. 90"Mission Indradhanush" is related to2019 (Phase 1)Polity
  91. 91Which of the following is/are environmental effects of Rotation of the Earth? 1. Daily or diurnal rhythm in day-light and air temperature 2.2019 (Phase 1)Geography
  92. 92Who among the following historians have described the Quit India movement as a 'spontaneous revolution' ?2019 (Phase 1)History
  93. 93Statement I : Abul Fazl shaped, represented and articulated the ideas associated with the reign of Akbar Statement II : The qualities of Abu2019 (Phase 1)History
  94. 94Statement I : The Kisan manifesto adopted by the All India Kisan Sabha in August 1936 contained radical demands Statement II : The All India2019 (Phase 1)History
  95. 95Statement I : The British ruled India through a modern bureaucracy headed by the Indian Civil Service, whose members were recruited through 2019 (Phase 1)History
  96. 96Two metallic wires and are made using copper. The radius of wire is while its length is . A dc voltage is applied across the wire , causing 2019 (Phase 1)Physics
  97. 97Consider the following Statements about a solenoid : 1. The magnetic field strength in a solenoid depends upon the number of turns per unit 2019 (Phase 1)Physics
  98. 98Light year is a unit of measurement of2019 (Phase 1)Physics
  99. 99The focal length of the objective lens of a telescope is 50 cm . If the magnification of the telescope is 25 , then the focal length of the 2019 (Phase 1)Physics
  100. 100Which one of the following forces is non-central and non-conservative?2019 (Phase 1)Physics
  101. 101On exposure to moist air, copper gains a green coat on its surface due to formation of which one of the following compounds ?2019 (Phase 1)Chemistry
  102. 102Which one of the following will NOT produce carbon dioxide on reacting with an aqueous solution of hydrochloric acid?2019 (Phase 1)Chemistry
  103. 103Which one of the following substances is NOT a mixture?2019 (Phase 1)Chemistry
  104. 104Which one of the following is an example of Salt-Crystal growth ?2019 (Phase 1)Geography
  105. 105Which one of the following is the correct sequence of proved coal reserves in the Indian States in decreasing order ?2019 (Phase 1)Geography
  106. 106Consider the following statements relating to Richter scale : 1. It was devised in 1935 by Charles F. Richter 2. It describes the quantity o2019 (Phase 1)Geography
  107. 107Which one of the following ocean currents is NOT a cold ocean current?2019 (Phase 1)Geography
  108. 108What is the time gap in occurrence of two successive tides at a given place on the ocean surface?2019 (Phase 1)Geography
  109. 109Tooth enamel is made up of which one of the following calcium compounds ?2019 (Phase 1)Chemistry
  110. 110Suppose there are two planets, 1 and 2 , having the same density but their radii are and respectively, where . The accelerations due to grav2019 (Phase 1)Physics
  111. 111The Sun is seen little before it rises and for a short while after it sets. This is because of2019 (Phase 1)Physics
  112. 112The figure shown above gives the time versus position graphs of three objects and . Which one of the following is the correct relation betwe2019 (Phase 1)Physics
  113. 1131 dyne (a unit of force in CGS system) equals to2019 (Phase 1)Physics
  114. 114In the given velocity versus time graph, accelerated and decelerated motions are respectively represented by line segments2019 (Phase 1)Physics
  115. 115Which one of the following statements regarding a thermos flask is NOT correct?2019 (Phase 1)Physics
  116. 116'Black hole' is a2019 (Phase 1)Physics
  117. 117The formula for conversion between Fahrenheit and Celsius is What is factor ?2019 (Phase 1)Physics
  118. 118When a beam of white light passes through a glass prism, the colour of light beam that deviates the least is2019 (Phase 1)Physics
  119. 119LIGO stands for2019 (Phase 1)Physics
  120. 120A fuse wire must be2019 (Phase 1)Physics
  121. 121Kamarajar Port was commissioned in 2001 to handle thermal coal requirements. It is situated along the coast of which Indian State?2019 (Phase 1)Geography
  122. 122Which one of the following Union Territories of India is the smallest in terms of geographical area ?2019 (Phase 1)Geography
  123. 123Which one of the following can be said to be essentially related to 'Polar Front Theory' ?2019 (Phase 1)Geography
  124. 124Brahmaputra and Indus rivers are antecedent rivers. Which one of the following may be the true definition of an antecedent drainage ?2019 (Phase 1)Geography
  125. 125The Karachi resolution of Congress in 1931 advocated which one of the following issues?2019 (Phase 1)History
  126. 126The treaty of Schonbrunn (1809) was signed after which one of the following battles?2019 (Phase 1)History
  127. 127Which of the following statements about The New Model Unions is/are correct? 1. The New Model Unions were formed in the 1850s 2. The New Mod2019 (Phase 1)History
  128. 128The Truman Doctrine of 1947 was announced to achieve which one of the following?2019 (Phase 1)History
  129. 129Which of the following statements is/are correct? 1. In 1948, Burma was admitted to the United Nations and immediately supported the USA in 2019 (Phase 1)History
  130. 130Who among the following presented 'The April Theses' to the Russian people in 1917 ?2019 (Phase 1)History
  131. 131An Election Commissioner can be removed from office on the recommendation of2019 (Phase 1)Polity
  132. 132Which one of the following statements regarding the Rajya Sabha is NOT correct?2019 (Phase 1)Polity
  133. 133Fundamental right guaranteed under which one of the following Articles of the Constitution of India is available only to the citizens of Ind2019 (Phase 1)Polity
  134. 134The treaty of Yandabo was signed in2019 (Phase 1)History
  135. 135In the Manusmriti which form of marriage results from the "Voluntary union of a maiden and her lover" ?2019 (Phase 1)History
  136. 136Consider the following description of the Samadhi of a former Prime Minister of India : Central Samadhi platform comprises nine square black2019 (Phase 1)General Knowledge
  137. 137IMBEX is a joint exercise conducted regularly between Armies of India and2019 (Phase 1)General Knowledge
  138. 138Who among the following was awarded The Hindu Prize in Fiction category for the year 2018?2019 (Phase 1)General Knowledge
  139. 139Who among the following was appointed as head of the seven member committee to look into revenue shortfall being faced by the states after t2019 (Phase 1)General Knowledge
  140. 140The Pravasi Bharatiya Divas, 2019 was held in2019 (Phase 1)General Knowledge
  141. 141Which one of the following cities was named by UNESCO as World Capital of Architecture for 2020 ?2019 (Phase 1)General Knowledge
  142. 142Who among the following was named ICC's emerging player of the year 2018 ?2019 (Phase 1)General Knowledge
  143. 143India's first private sector Howitzer gun-making unit is located at2019 (Phase 1)General Knowledge
  144. 144Which of the following pairs of old names and new names of islands in India is/are correctly matched? 1. Ross Island : Shaheed Dweep 2. Neil2019 (Phase 1)Geography
  145. 145Who among the following was posthumously conferred with the Ashoka Chakra, India's highest peacetime gallantry award, in 2019 ?2019 (Phase 1)General Knowledge
  146. 146As per the code of the nomenclature, which one of the following is the correct way of writing a biological name ?2019 (Phase 1)Biology
  147. 147Which one of the following statements regarding Electrocardiogram is correct ?2019 (Phase 1)Biology
  148. 148Which one of the following statements regarding Penicillin is correct?2019 (Phase 1)Biology
  149. 149Which one of the following organelles of mammalian cell is rich in hydrolytic enzymes?2019 (Phase 1)Biology
  150. 150Which one of the following statements regarding Cholera is correct?2019 (Phase 1)Biology

Mathematics

  1. 1What is the term of the sequence , ?2019 (Phase 1)Geometric Progression
  2. 2Suppose and is a relation on . If , then which one of the following is correct?2019 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  3. 3relation is defined on the set of natural numbers as , Then which one of the following is correct?2019 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  4. 4If and , where Z is set of complex numbers, then what is equal to ?2019 (Phase 1)Common Roots
  5. 5Consider the following statements for the two non-empty sets and : (1) (2) Which of the above statements is/are correct ?2019 (Phase 1)Questions on Venn Diagram
  6. 6Let be a non-empty set and let be subsets of . Consider the following statments : (1) (2) for all sets (3) for all sets Which of the above s2019 (Phase 1)Questions on number of relations and sets
  7. 7If , then what is adjoint of equal to?2019 (Phase 1)Adjoint and its Properties
  8. 8What are the roots of the equation ?2019 (Phase 1)Relation between Roots and Coefficients
  9. 9If , then matrix A is/an2019 (Phase 1)Types of Matrices
  10. 10If , then what are the values of and y respectively?2019 (Phase 1)Expansion of Determinants
  11. 11The common roots of the equations and are2019 (Phase 1)nth roots of unity
  12. 12If , then what is n equal to?2019 (Phase 1)Combination
  13. 13There are 10 points in a plane. No three of these points are in a straight line. What is the total number of straight lines which can be for2019 (Phase 1)Combination
  14. 14The equation (where , all are positive) has distinct real roots a and b . Which one of the following is correct?2019 (Phase 1)Relation between Roots and Coefficients
  15. 15If , then the power set of is2019 (Phase 1)Questions on number of relations and sets
  16. 16Paragraph: In a school, all the students play at least one of three indoor games - chess, carrom and table tennis, 60 play chess, 50 play ta2019 (Phase 1)Questions on Venn Diagram
  17. 17Paragraph: In a school, all the students play at least one of three indoor games - chess, carrom and table tennis, 60 play chess, 50 play ta2019 (Phase 1)Questions on Venn Diagram
  18. 18If is an identity matrix of order 3 , then its inverse2019 (Phase 1)Inverse of a Matrix
  19. 19A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?2019 (Phase 1)Expansion of Determinants
  20. 20From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to recruit at least2019 (Phase 1)Combination
  21. 21What is the number of terms in the expansion of2019 (Phase 1)Terms of Binomial Expansion
  22. 22In the expansion of , the first three terms are respectively and . What is n equal to?2019 (Phase 1)Terms of Binomial Expansion
  23. 23The numbers 1,5 and 25 can be three terms (not necessarily consecutive) of2019 (Phase 1)Arithmetic Progression
  24. 24The sum of and terms of an AP is equal to2019 (Phase 1)Arithmetic Progression
  25. 25If is a square matrix of order , then which one of the following is correct?2019 (Phase 1)Expansion of Determinants
  26. 26What is the least value of ?2019 (Phase 1)Maximum and Minimum Values
  27. 27Paragraph: Let and be matrices with and . Question: What is equal to ?2019 (Phase 1)Multiplication of Determinants
  28. 28Paragraph: Let and be matrices with and . Question: What is equal to ?2019 (Phase 1)Inverse of a Matrix
  29. 29Paragraph: A complex number is given by Question: What is the modulus of ?2019 (Phase 1)Conjugate, modulus and argument
  30. 30Paragraph: A complex number is given by Question: What is the principal argument of ?2019 (Phase 1)Conjugate, modulus and argument
  31. 31What is the value of2019 (Phase 1)Sum and Difference & Multiple angle Formula
  32. 32can be expressed as2019 (Phase 1)Basic Identities & T Ratios
  33. 33Paragraph: If and Question: What is the value of 0?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  34. 34Paragraph: If and Question: What is the value of A?2019 (Phase 1)Basic Identities & T Ratios
  35. 35Paragraph: If and Question: What is the value of B?2019 (Phase 1)Basic Identities & T Ratios
  36. 36Paragraph: It is given that Question: What is equal to?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  37. 37Paragraph: It is given that Question: What is equal to?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  38. 38If , then what is equal to?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  39. 39What is the value of ?2019 (Phase 1)T inverse T property
  40. 40If , then what is equal to ?2019 (Phase 1)Sum and difference of angles
  41. 41If and , then what is the value of ?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  42. 42If , then what is the value of ?2019 (Phase 1)Transformation Formulas
  43. 43What is the value of ?2019 (Phase 1)Basic Identities & T Ratios
  44. 44What is the value of2019 (Phase 1)Basic Identities & T Ratios
  45. 45If , where , then what is equal to?2019 (Phase 1)Sum and Difference & Multiple angle Formula
  46. 46If the roots of the equation are and , then which one of the following is correct ?2019 (Phase 1)Relation between Roots and Coefficients
  47. 47What is the Fourth term of an AP of terms whose sum is2019 (Phase 1)Arithmetic Progression
  48. 48What is equal to2019 (Phase 1)Basic Identities & T Ratios
  49. 49If and , then which one of the following is correct?2019 (Phase 1)Basic Identities & T Ratios
  50. 50If the angles of a triangle are in the ratio , then the corresponding sides are in the ratio2019 (Phase 1)Sine Rule and its application
  51. 51Consider the following statements : 1. For an equation of a line, , in normal form, the length of the perpendicular from the point to the li2019 (Phase 1)Point and Line
  52. 52A circle is drawn on the chord of a circle as diameter. The chord lies on the line . What is the equation of the circle?2019 (Phase 1)Equation of Circle & its intercept
  53. 53The sum of the focal distances of a point on an ellipse is constant and equal to the2019 (Phase 1)Equation of Ellipse
  54. 54The equation represents2019 (Phase 1)Equation of hyperbola
  55. 55The two parabolas and intersect2019 (Phase 1)standard equation of parabola
  56. 56The points and are two opposite vertices of a rectangle. The other two vertices lie on the line . What is the value of c ?2019 (Phase 1)Position of a point
  57. 57If the lines and are concurrent, then what is the value of ?2019 (Phase 1)Concurrency & Family of Lines
  58. 58What is the equation of the straight line which is perpendicular to and passes through ?2019 (Phase 1)Basic Forms of Straight Line
  59. 59The straight lines and form a triangle, which is2019 (Phase 1)Angle between Lines
  60. 60The circle , cuts an intercept on y -axis equal to2019 (Phase 1)Equation of Circle & its intercept
  61. 61The centroid of the triangle with vertices , B and is the point2019 (Phase 1)Coordinate System
  62. 62What is the radius of the sphere ?2019 (Phase 1)Sphere
  63. 63The equation of the plane passing through the intersection of the planes and the point is2019 (Phase 1)Plane in Space
  64. 64The distance between the parallel planes and is2019 (Phase 1)Plane in Space
  65. 65What are the direction cosines of z -axis?2019 (Phase 1)Direction Cosines and Direction Ratios
  66. 66If and then what is equal to?2019 (Phase 1)Algebra of Vectors
  67. 67If the position vectors of points A and B are and respectively, then what is the length of ?2019 (Phase 1)Basics of point in 3 dimension
  68. 68If in a right-angled triangle ABC , hypotenuse , then what is equal to ?2019 (Phase 1)Product of 2 vectors
  69. 69The sine of the angle between vectors and2019 (Phase 1)Product of 2 vectors
  70. 70What is the value of for which the vectors and are perpendicular?2019 (Phase 1)Product of 2 vectors
  71. 71What is the derivative of with respect to ?2019 (Phase 1)Differentiation of composite functions
  72. 72If , then what is equal to?2019 (Phase 1)Logarithm
  73. 73A function f defined by is2019 (Phase 1)Odd and Even Functions
  74. 74The domain of the function defined by is2019 (Phase 1)Domain
  75. 75is equal to2019 (Phase 1)Algebraic and Rational Limits
  76. 76For is the ratio of perimeter to area of a circle of radius . Then is equal to2019 (Phase 1)Equation of Circle & its intercept
  77. 77If , then is equal to2019 (Phase 1)Composite Function
  78. 78The number of real roots for the equation is2019 (Phase 1)Relation between Roots and Coefficients
  79. 79If , then is equal to2019 (Phase 1)Differentiation of composite functions
  80. 80The domain of the function is2019 (Phase 1)Domain
  81. 81The solution of the differential equation is2019 (Phase 1)Variable Separable Form
  82. 82is equal to2019 (Phase 1)Properties of Definite Integration
  83. 83If , then2019 (Phase 1)Higher order derivatives
  84. 84A given quantity of metal is to be cast into a half cylinder (i,e, with a rectangular base and semicircular ends). If the total surface area2019 (Phase 1)Maxima Minima
  85. 85is equal to2019 (Phase 1)Definite Integration by Substitution
  86. 86If , then what is equal to ?2019 (Phase 1)Inverse of a Function
  87. 87What is equal to ?2019 (Phase 1)Integration by Parts
  88. 88The minimum distance from the point to is equal to2019 (Phase 1)Position of point
  89. 89The differential equation of the system of circles touching the -axis at the origin is2019 (Phase 1)Formation of Differential Equation
  90. 90Consider the following in respect of the differential equation : 1. The degree of the differential equation is 1 . 2. The order of the diffe2019 (Phase 1)Order and Degree
  91. 91What is the general solution of the differential equation ?2019 (Phase 1)Variable Separable Form
  92. 92The value of k which makes continuous at , is2019 (Phase 1)Continuity
  93. 93What is the minimum value of where ?2019 (Phase 1)Maxima Minima
  94. 94What is equal to ?2019 (Phase 1)Integration by Substitution
  95. 95What is the area of one of the loops between the curve and x -axis?2019 (Phase 1)Area of Curve along axis
  96. 96If , then what is equal to?2019 (Phase 1)Basic Identities & T Ratios
  97. 97In a circle of diameter 44 cm , the length of a chord is 22 cm . What is the length of minor arc of the chord?2019 (Phase 1)Equation of Circle & its intercept
  98. 98If and , then in which quadrant does lie?2019 (Phase 1)Basic Identities & T Ratios
  99. 99How many three-digit even numbers can be formed using the digits and 5 when repetition of digits is not allowed ?2019 (Phase 1)Permutation
  100. 100The angle of elevation of a tower of height from a point A due South of it is x and from a point B due East of A is y . If , then which one 2019 (Phase 1)Heights and Distances
  101. 101From a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?2019 (Phase 1)Classical Definition of Probability
  102. 102If and are two events such that and , then what is equal to ?2019 (Phase 1)Addition and Subtraction Theorems
  103. 103A problem is given to three students and whose probabilities of solving the problem are and respectively. What is the probability that the p2019 (Phase 1)Independent Events
  104. 104A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?2019 (Phase 1)Classical Definition of Probability
  105. 105A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?2019 (Phase 1)Conditional Probability and Multiplication Theorem
  106. 106If A, B, C are three events, then what is the probability that at least two of these events occur together?2019 (Phase 1)Addition and Subtraction Theorems
  107. 107If two variables X and Y are independent, then what is the correlation coefficient between them ?2019 (Phase 1)Independent Events
  108. 108Two independent events and are such that and . If , then what is equal to ?2019 (Phase 1)Independent Events
  109. 109The mean of 100 observations is 50 and the standard deviation is 10 . If 5 is subtracted from each observation and then it is divided by 4 ,2019 (Phase 1)Mean
  110. 110If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dic2019 (Phase 1)Conditional Probability and Multiplication Theorem
  111. 111Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. W2019 (Phase 1)Classical Definition of Probability
  112. 112There are n socks in a drawer, of which 3 socks are red. If 2 of the socks are chosen randomly and the probability that both selected socks 2019 (Phase 1)Classical Definition of Probability
  113. 113Two cards are chosen at random from a deck of 52 playig cards. What is the probability that both of them have the same value?2019 (Phase 1)Classical Definition of Probability
  114. 114In eight throws of a die, 5 or 6 is considered a success. The mean and standard deviation of total number of successes is respectively given2019 (Phase 1)Bernoulli Trial and Binomial Distribution
  115. 115A and B are two events such that and are mutually exclusive. If and , then what is the value of ?2019 (Phase 1)Conditional Probability and Multiplication Theorem
  116. 116Consider the following statements: 1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero. 2. Arith2019 (Phase 1)Mean
  117. 117Let the correlation coefficient between X and Y be 0.6 . Random variables and are defined as and . What is the correlation coefficient betwe2019 (Phase 1)Mean
  118. 118If all the natural numbers between 1 and 20 are multiplied by 3 , then what is the variance of the resulting series ?2019 (Phase 1)Measures of Dispersion
  119. 119What is the probability that an interior point in a circle is closer to the centre than to the circumference?2019 (Phase 1)Geometric Probability
  120. 120If and are two events, then what is the probability of occurrence of either event A or event B ?2019 (Phase 1)Addition and Subtraction Theorems

Frequently Asked Questions

1.How many questions are in the NDA 2019 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 2019 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2019.

4.How is the NDA 2019 Phase 1 paper structured?

The NDA 2019 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 2019 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 158 (59%) are easy, 112 (41%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 118 easy, 32 medium, 0 hard
  • Mathematics: 40 easy, 80 medium, 0 hard
6.Which chapters were asked the most in the NDA 2019 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (54), General Science (49), and English (47).
  • Mathematics: Trigonometric Ratios & Identities (18), Probability (16), and Sets and Relations (7).
7.Where can I find the solutions for the NDA 2019 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 2019 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 2019 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.