Jump to a section

NDA 2013 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2013 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 - 177 easy (66%), 93 moderate (34%) 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 56% easy, 44% moderate, 0% tough; General Ability 73% easy, 27% moderate, 0% tough.

General Ability questions were entirely from English (50), General Science (50), and General Studies (50). Mathematics questions were spread across 32 chapters, with Probability (11), Sets and Relations (10), and Trigonometric Ratios & Identities (10) carrying the most weight.

General Ability

  1. 1Select the option that is nearest in meaning of the word One must live life with DIGNITY.2013 (Phase 1)Synonyms
  2. 2Select the option that is nearest in meaning of the word Europe, America and Japan have taken to the field of science with SINGULAR vigour a2013 (Phase 1)Synonyms
  3. 3Select the option that is nearest in meaning of the word Our age is preeminently an AGE of science.2013 (Phase 1)Synonyms
  4. 4Select the option that is nearest in meaning of the word Ant is believed to be the most INDUSTRIOUS creature.2013 (Phase 1)Antonyms
  5. 5Select the option that is nearest in meaning of the word The schools insist on giving WHOLESOME food to the children for the proper growth o2013 (Phase 1)Synonyms
  6. 6Select the option that is nearest in meaning of the word As I look around I see the crumbling ruins of a proud civilization strewn like a va2013 (Phase 1)Synonyms
  7. 7Select the option that is nearest in meaning of the word Mark Antony's EULOGY of Caesar is finely recorded by Shakespeare in his play.2013 (Phase 1)Synonyms
  8. 8Select the option that is nearest in meaning of the word By 1918, Gandhiji had established himself as a leader with a UNIQUE way of protesti2013 (Phase 1)Synonyms
  9. 9Select the option that is nearest in meaning of the word Your INTERVENTION was required.2013 (Phase 1)Synonyms
  10. 10Select the option that is nearest in meaning of the word It is difficult to DISCERN the sample on the slide without adjusting the microscope2013 (Phase 1)Synonyms
  11. 11In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  12. 12In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  13. 13In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  14. 14In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  15. 15In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  16. 16In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  17. 17In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  18. 18In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  19. 19In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  20. 20In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  21. 21In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  22. 22In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Sentence Completion
  23. 23In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  24. 24In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Sentence Completion
  25. 25In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  26. 26In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  27. 27In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  28. 28In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  29. 29In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Fillers
  30. 30In a few seconds we ran the boat into a little bay, where we made her fast to a piece of coral, and running up the beach, entered the ranks 2013 (Phase 1)Comprehension Ability
  31. 31(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  32. 32(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  33. 33(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  34. 34(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  35. 35(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  36. 36(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  37. 37(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  38. 38(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  39. 39(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  40. 40(i)The sentences are divided in three separate parts and each one is labelled (A), (B) and (C). Read sentence to find out whether there is a2013 (Phase 1)Spotting The Errors
  41. 41Select the option that is opposite in meaning of the word Her illness ENERVATED the whole family.2013 (Phase 1)Antonyms
  42. 42Select the option that is opposite in meaning of the word The teacher INSERTED another picture to illustrate the point.2013 (Phase 1)Antonyms
  43. 43Select the option that is opposite in meaning of the word The committee rejected his LUDICROUS proposal.2013 (Phase 1)Antonyms
  44. 44Select the option that is opposite in meaning of the word Children ADORE the cricket players.2013 (Phase 1)Antonyms
  45. 45Select the option that is opposite in meaning of the word These people are sunk in abysmal ignorance and their illiteracy is simply COLOSSAL2013 (Phase 1)Antonyms
  46. 46Select the option that is opposite in meaning of the word Previously per capita income used to INCREASE by seven rupees per year.2013 (Phase 1)Antonyms
  47. 47Select the option that is opposite in meaning of the word In the modern times, we find that most social relationships are rather ARTIFICIAL.2013 (Phase 1)Antonyms
  48. 48Select the option that is opposite in meaning of the word Social LIBERTY may be instrumental in the emotional growth of a person.2013 (Phase 1)Antonyms
  49. 49Select the option that is opposite in meaning of the word Education is most ESSENTIAL for the all-round development of a person.2013 (Phase 1)Antonyms
  50. 50Select the option that is opposite in meaning of the word He was extremely MODEST in company.2013 (Phase 1)Antonyms
  51. 51The pH of fresh milk is 6 . When it turns sour, the pH2013 (Phase 1)Chemistry
  52. 52The displacement of a particle is given by . The motion is2013 (Phase 1)Physics
  53. 53A motor vehicle is moving on a circle with a uniform speed. The net acceleration of the vehicle is2013 (Phase 1)Physics
  54. 54An object is undergoing a non-accelerated motion. Its rate of change in momentum is2013 (Phase 1)Physics
  55. 55The motion of an electron in presence of a magnetic field is depicted in the figure given above. The force acting on the electron will be di2013 (Phase 1)Physics
  56. 56Imagine a current-carrying wire with the direction of current downward or into the page. The direction of magnetic field lines is2013 (Phase 1)Physics
  57. 57The main thinking part of the brain is2013 (Phase 1)Biology
  58. 58Which one among the following hormones stimulates the plant cells to grow in a manner such that the plant appears to be bent towards light?2013 (Phase 1)Biology
  59. 59Magnetic Resonance Imaging (MRI) is used in medical diagnosis to obtain images of our internal body organs. This is primarily possible becau2013 (Phase 1)Physics
  60. 60The motion of a particle is given by a straight line in the graph given above drawn with displacement and time . Which one among the followi2013 (Phase 1)Physics
  61. 61The human eye is like a camera and hence it contains a system of lens. The eye lens forms2013 (Phase 1)Physics
  62. 62Match List-I with List-II and select the correct answer using the codes given below the Lists:2013 (Phase 1)Geography
  63. 63The 'Golden Quadrilateral' which connects Delhi, Mumbai, Chennai and Kolkata passes through2013 (Phase 1)Geography
  64. 64Delhi-Mumbai Industrial Corridor connects the political and business capital of India. Arrange the States from highest to lowest in terms of2013 (Phase 1)Geography
  65. 65Which of the following statements is/are true? 1. The angle of the axis in relation to the plane in which the earth revolves around the sun 2013 (Phase 1)Geography
  66. 66A car is moving with a uniform speed. However its momentum is changing. Then the car2013 (Phase 1)Physics
  67. 67Ohm's law defines2013 (Phase 1)Physics
  68. 68Which of the following statements about sexual reproduction in flowering plants are correct? 1. Stamen is present in the centre of a flower.2013 (Phase 1)Biology
  69. 69The complete digestion of carbohydrates, proteins and fats occurs in2013 (Phase 1)Biology
  70. 70Which one among the following statements about a healthy diet is correct?2013 (Phase 1)Biology
  71. 71The Nobel Prize in Medicine for the year 2012 has been awarded to John B. Gurdon and Shinya Yamanaka for the discovery that2013 (Phase 1)General Knowledge
  72. 72The sex of a newborn baby is determined by the chromosome inherited from2013 (Phase 1)Biology
  73. 73Arrange the following events that took place in the first decade of the 20th century in chronological order: 1. Indian National Congress, Bo2013 (Phase 1)History
  74. 74Match List-I with List-II and select the correct answer using the codes given below the Lists:2013 (Phase 1)History
  75. 75Consider the following statements about Periyar E.V. Ramaswamy: 1. He was a politician, social activist and an important figure in the Dravi2013 (Phase 1)History
  76. 76Two atoms are said to be isotopes if2013 (Phase 1)Chemistry
  77. 77The phenomenon of radioactivity was discovered by2013 (Phase 1)Physics
  78. 78The principle of cleaning by soap is2013 (Phase 1)Chemistry
  79. 79Sodium stearate is a salt and is used2013 (Phase 1)Chemistry
  80. 80The pure form of carbon is2013 (Phase 1)Chemistry
  81. 81Which one among the following countries was least affected by the tsunami that hit the Indonesian Ocean on 26th December, 2004?2013 (Phase 1)Geography
  82. 82Which one among the following statements is not true about Bahadur Shah Jafar II?2013 (Phase 1)History
  83. 83Which one among the following statements is true about Lord Curzon?2013 (Phase 1)History
  84. 84Which one among the following statements about Civil Disobedience Movement is correct?2013 (Phase 1)History
  85. 85The greatest stylistic forms of temple architecture during the early medieval period were the Nagara, the Dravida and the Vesara. Which of t2013 (Phase 1)History
  86. 86Consider the following statement: "No Indian could have started the Indian National Congress... if the founder of the Congress had not been 2013 (Phase 1)History
  87. 87Which one among the following is the chemical formula of gypsum which is an ingredient of cement?2013 (Phase 1)Chemistry
  88. 88Which of the following statements in connection with the properties of water is/are correct? 1. Water has higher specific heat in comparison2013 (Phase 1)Chemistry
  89. 89The bond which is present between water molecules is2013 (Phase 1)Chemistry
  90. 90Water is a good solvent. This is due to high2013 (Phase 1)Chemistry
  91. 91Which of the following statements regarding the property of hard water is/are correct? (1) Temporary hardness of water is due to the presenc2013 (Phase 1)Chemistry
  92. 92An ant is moving on thin (negligible thickness) circular wire. How many coordinates do you require to completely describe the motion of the 2013 (Phase 1)Physics
  93. 93If denotes the distance covered by a car in time and denotes the displacement by the car during the same time, then :2013 (Phase 1)Physics
  94. 94A current-carrying wire is known to produce magnetic lines of force around the conducting straight wire. The direction of the lines of force2013 (Phase 1)Physics
  95. 95If an object undergoes a uniform circular motion, then its2013 (Phase 1)Physics
  96. 96A force F is applied on a body (which moves on a straight line) for a duration of 3 s . The momentum of the body changes from to . The magni2013 (Phase 1)Physics
  97. 97Which among the following areas is conducive for well irrigation?2013 (Phase 1)Geography
  98. 98Humid climate, ready market and availability of cheap and skilled labour are the conditions conducive for the production of cotton cloth. Wh2013 (Phase 1)Geography
  99. 99The requirement of water is highest in which one among the following industries?2013 (Phase 1)Economy
  100. 100Which of the following statements regarding hurricanes is/are correct? 1. They develop over the ocean between . 2. They are almost absent in2013 (Phase 1)Geography
  101. 101Joint Parliamentary Sessions in India are chaired by the2013 (Phase 1)Polity
  102. 102Which one among the following is not a function of the Comptroller and Auditor General of India?2013 (Phase 1)Polity
  103. 103Specific gravity of silver is 11 and specific gravity of iron is 8 . Which one among the following is the approximate relative density of si2013 (Phase 1)Physics
  104. 104Metal used to make wires for safety fuses must have2013 (Phase 1)Physics
  105. 105A positively charged particle projected towards west is deflected towards north by a magnetic field. The direction of the magnetic field is2013 (Phase 1)Physics
  106. 106Which one among the following films won the prestigious Golden Globe Award, 2013 in the best motion picture-Drama category?2013 (Phase 1)General Knowledge
  107. 107Ward Cunningham is famous for developing for the first time2013 (Phase 1)General Knowledge
  108. 108Catch me if you can is a Hollywood movie made on the life of Frank Abagnale who was2013 (Phase 1)General Knowledge
  109. 109Who among the following is a sportsperson who has won the maximum number of gold medals in Summer Olympic Games?2013 (Phase 1)General Knowledge
  110. 110Anthony De Mello Trophy is associated with test cricket series played between2013 (Phase 1)General Knowledge
  111. 111Which one among the following European countries has the maximum number of running nuclear reactors?2013 (Phase 1)General Knowledge
  112. 112Which one among the following has completed thirty years of its development on 1st January, 2013?2013 (Phase 1)General Knowledge
  113. 113Which of the following statements is/are correct? 1. The 14th Finance Commission was constituted under the Chairmanship of Shri Vijay Kelkar2013 (Phase 1)Economy
  114. 114Which of the following statements is/are correct? 1. UN General Assembly in November 2012 adopted a resolution banning death penalty. 2. Ind2013 (Phase 1)General Knowledge
  115. 115Which one among the following stock exchanges was closed for two continuous days in October 2012 due to the devastating effects of hurricane2013 (Phase 1)General Knowledge
  116. 116Statement I: Insolation is greatest when the sun is directly overhead and the sun's rays are vertical. Statement II: When the sun is lower i2013 (Phase 1)Geography
  117. 117Statement I: The Russian Revolution of 1917 inspired the Indian working class movement. Statement II: The Non-Cooperation Movement (192122) 2013 (Phase 1)History
  118. 118Statement I: Intellectual criteria which informed the reform movements were rationalism and religious universalism. Statement II: Social rel2013 (Phase 1)History
  119. 119Statement I: Hard water does not give lather with soap. Statement II: Calcium and magnesium salts present in hard water form precipitate wit2013 (Phase 1)Chemistry
  120. 120Statement I: Evapotranspiration helps in classifying the climatic types. Statement II: Only temperature affects evapotranspiration, hence it2013 (Phase 1)Geography
  121. 121Statement I: There is a large-scale fluctuation of oil flow from oil wells prior to earthquakes. Statement II: Tectonic stress accumulates t2013 (Phase 1)Geography
  122. 122Statement I : The potential energy that results from pushing water above mean sea level is transferred to kinetic energy that initiates the 2013 (Phase 1)Geography
  123. 123Statement I: Indian economy has experienced slower growth rate during the years 2010-11 and 2011-12. Statement II: Indian economy has experi2013 (Phase 1)Economy
  124. 124Consider the following diseases : 1. Cholera 2. Tuberculosis 3. Filaria 4. Typhoid Which of the above diseases are caused by bacteria?2013 (Phase 1)Biology
  125. 125Consider the following statements in relation to plant tissue 'chlorenchyma': 1. It is formed by the palisade and spongy mesophyll. 2. It is2013 (Phase 1)Biology
  126. 126Consider the following statements regarding osmosis in animal cells : 1. If the water potential of the solution surrounding the cell is too 2013 (Phase 1)Biology
  127. 127In India, increase in population and diversion of agricultural land for non-agricultural purposes have resulted in the decrease of2013 (Phase 1)Geography
  128. 128Radioactive decay provides an internal source of heat for the earth. This helps in the formation of which type of rocks?2013 (Phase 1)Geography
  129. 129Sun emits energy in the form of electromagnetic radiation. The following help in the generation of solar energy. Arrange them in the right s2013 (Phase 1)Physics
  130. 130The greatest seasonal contrast of insolation on the earth is in which of the following latitudinal zones?2013 (Phase 1)Geography
  131. 131Consider the following statements : 1. The Ain-i Akbari is the third book in the Akbarnama written during the reign of the Mughal Emperor, A2013 (Phase 1)History
  132. 132Consider the following statements : 1. Gandhiji's Salt Satyagraha in 1930 was against the State monopoly of the manufacture and sale of salt2013 (Phase 1)History
  133. 133Consider the following statements: 1. Gandhiji's launched the Rowlatt Satyagraha in 1919 because of the British measures to impose censorshi2013 (Phase 1)History
  134. 134The acid contained in vinegar is2013 (Phase 1)Chemistry
  135. 135Which one among the following is not a chemical change?2013 (Phase 1)Chemistry
  136. 136The acid in gastric juice is2013 (Phase 1)Biology
  137. 137An object is placed at the focus of a concave mirror. The image will be2013 (Phase 1)Physics
  138. 138An optician prescribes a power dioptre. The corresponding lens must be a2013 (Phase 1)Physics
  139. 139A current I flows through a potential difference V in an electrical circuit containing a resistance R. The product of V and I, i.e., VI may 2013 (Phase 1)Physics
  140. 140When the winds blow from all sides to the central low in an anticlockwise direction, then this phenomenon is known as2013 (Phase 1)Geography
  141. 141The diagram given below shows the schematic relations of temperature and precipitation of tropical climatic type over land: Arrange the clim2013 (Phase 1)Geography
  142. 142Which of the following statements relating to tsunami is/are correct? As the tsunamis leave the deep water of the open sea and travel toward2013 (Phase 1)Geography
  143. 143Consider the following statements about the Indo Saracenic architecture: 1. It combined the Indian with the European style of architecture i2013 (Phase 1)History
  144. 144Which of the following statements is/are correct? Under Article 200 of the Constitution of India, the Governor of a State may 1. withhold hi2013 (Phase 1)Polity
  145. 145Point out the difference between the local government in India before and after the Constitutional Amendments in 1992 : 1. It has become man2013 (Phase 1)Polity
  146. 146The President of India is elected by proportional representative system by a single transferrable vote. This implies that2013 (Phase 1)Polity
  147. 147A particle is moving freely. Then its2013 (Phase 1)Physics
  148. 148The displacement of a particle at time is given by where and are positive constants. Then the particle is2013 (Phase 1)Physics
  149. 149Gravitational force shares a common feature with electromagnetic force. In both cases, the force is2013 (Phase 1)Physics
  150. 150The spread in colours in a rainbow on sky is primarily due to2013 (Phase 1)Physics

Mathematics

  1. 1The sum of the direction cosines of -axis is2013 (Phase 1)Direction Cosines and Direction Ratios
  2. 2What is the area of the triangle whose vertices are and ?2013 (Phase 1)Product of 2 vectors
  3. 3What is the distance between the planes and ?2013 (Phase 1)Plane in Space
  4. 4If a line makes with the positive direction of -axis, angle with the positive direction of -axis and angle with the positive direction of -a2013 (Phase 1)Direction Cosines and Direction Ratios
  5. 5What should be the value of for which the equation represents the sphere?2013 (Phase 1)Sphere
  6. 6Consider the following statements in respect of a function : 1. is continuous at iff exists. 2. If is continuous at a point, then is also co2013 (Phase 1)Continuity
  7. 7If , what is equal to2013 (Phase 1)Differentiation of implicit functions
  8. 8The derivative of at2013 (Phase 1)Differentiability
  9. 9Consider the function . Which one of the following statements is correct in respect of the above function?2013 (Phase 1)Continuity
  10. 10Consider the following statements : 1. does not exist. 2. exists. Which of the above statements is/are correct?2013 (Phase 1)Existance of Limit
  11. 11What is equal to?2013 (Phase 1)Algebraic and Rational Limits
  12. 12What is equal to?2013 (Phase 1)Algebraic and Rational Limits
  13. 13If , then what is at , where are constants and ?2013 (Phase 1)Higher order derivatives
  14. 14What is the range of the function ?2013 (Phase 1)Range
  15. 15If , what is at equal to ?2013 (Phase 1)Logarithmic differentiation
  16. 16The angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is and the angle of elevation of t2013 (Phase 1)Heights and Distances
  17. 17If , then what is equal to?2013 (Phase 1)Basic Identities & T Ratios
  18. 18If , then what is equal to?2013 (Phase 1)Basic Identities & T Ratios
  19. 19If , then what is equal to?2013 (Phase 1)Basic Identities & T Ratios
  20. 20What is equal to?2013 (Phase 1)Basic Identities & T Ratios
  21. 21Which one of the following points lies inside a circle of radius 6 and centre at ?2013 (Phase 1)Position of point
  22. 22What is the equation of a straight line which passes through and the sum of whose and intercepts is 14 ?2013 (Phase 1)Basic Forms of Straight Line
  23. 23The equation of the ellipse whose vertices are at and foci at is2013 (Phase 1)Equation of Ellipse
  24. 24The point whose abscissa is equal to its ordinate and which is equidistant from and is2013 (Phase 1)Coordinate System
  25. 25The difference of focal distances of any point on a hyperbola is equal to2013 (Phase 1)Equation of hyperbola
  26. 26What is the area of the triangle whose vertices are and ?2013 (Phase 1)Coordinate System
  27. 27A straight line passes through the points and , the length of the perpendicular from the point on the line is2013 (Phase 1)Point and Line
  28. 28What is the inclination of the line ?2013 (Phase 1)Angle between Lines
  29. 29What is the angle between the planes and ?2013 (Phase 1)Direction Cosines and Direction Ratios
  30. 30If the straight line is parallel to the plane then which one of the following is correct?2013 (Phase 1)Direction Cosines and Direction Ratios
  31. 31What is where equal to?2013 (Phase 1)Algebra of complex numbers
  32. 32What is the argument of the complex number where ?2013 (Phase 1)Conjugate, modulus and argument
  33. 33If , then the values of are2013 (Phase 1)N degree equation
  34. 34A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without loo2013 (Phase 1)Classical Definition of Probability
  35. 35What is the sum of the coefficients in the expansion of ?2013 (Phase 1)Properties of Binomial Coefficients
  36. 36If and , then which one of the following is correct?2013 (Phase 1)Permutation
  37. 37The binary representation of the decimal number 45 is2013 (Phase 1)Decimal to Binary Conversion
  38. 38If the roots of a quadratic equation are and , then the quadratic equation having roots and is2013 (Phase 1)Relation between Roots and Coefficients
  39. 39If the roots of the equation are in the ratio , then which one of the following is correct?2013 (Phase 1)Relation between Roots and Coefficients
  40. 40Two straight line paths are represented by the equations and . Then the paths will2013 (Phase 1)Angle between Lines
  41. 41For what value of , the equations and will have infinitely many solutions?2013 (Phase 1)System of Linear Equations
  42. 42If the numbers are in AP , what is the value of ?2013 (Phase 1)Arithmetic Progression
  43. 43has2013 (Phase 1)Relation between Roots and Coefficients
  44. 44If and are two non-singular square matrices such that , then which one of the following is correct2013 (Phase 1)Inverse of a Matrix
  45. 45What is the value of the minor of the element 9 in the determinant ?2013 (Phase 1)Expansion of Determinants
  46. 46The marks obtained by 13 students in a test are 10,3 , . The median of this data is2013 (Phase 1)Median
  47. 47Consider the following statements: 1. Both variance and standard deviation are measures of variability in the population. 2. Standard deviat2013 (Phase 1)Measures of Dispersion
  48. 48The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the equation . The two numbers are2013 (Phase 1)Harmonic Progression
  49. 49Consider the following frequency distribution: If the total of the frequencies is 100 and mode is 25 , then which one of the following is co2013 (Phase 1)Mode
  50. 50In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?2013 (Phase 1)Permutation
  51. 51Consider a random experiment of throwing together a die and two coins. The associated sample space has2013 (Phase 1)Classical Definition of Probability
  52. 52In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that2013 (Phase 1)Addition and Subtraction Theorems
  53. 53What is the probability of getting a sum of 7 with two dice?2013 (Phase 1)Classical Definition of Probability
  54. 54Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads?2013 (Phase 1)Classical Definition of Probability
  55. 55A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability tha2013 (Phase 1)Conditional Probability and Multiplication Theorem
  56. 56If and are any two events such that , , then what is the value of equal to?2013 (Phase 1)Addition and Subtraction Theorems
  57. 57A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four toss2013 (Phase 1)Conditional Probability and Multiplication Theorem
  58. 58If X follows a binomial distribution with parameters and , then is maximum when2013 (Phase 1)Bernoulli Trial and Binomial Distribution
  59. 59Two numbers are successively drawn from the set , the second being drawn without replacing the first. The number of elementary events in the2013 (Phase 1)Classical Definition of Probability
  60. 60The binomial distribution has2013 (Phase 1)Bernoulli Trial and Binomial Distribution
  61. 61The roots of the equation are2013 (Phase 1)Expansion of Determinants
  62. 62The value of the determinant2013 (Phase 1)Expansion of Determinants
  63. 63The determinant of an orthogonal matrix is2013 (Phase 1)Types of Matrices
  64. 64If is a determinant of order 3 and is the determinant obtained by replacing the elements of D by their cofactors, then which one of the foll2013 (Phase 1)Expansion of Determinants
  65. 65Consider the following statements: 1. A matrix is not a number 2. Two determinants of different orders may have the same value. Which of the2013 (Phase 1)Formation and Basic of Matrix
  66. 66What is the value of ?2013 (Phase 1)Sum and Difference & Multiple angle Formula
  67. 67If and , then has the value :2013 (Phase 1)Sum and Difference & Multiple angle Formula
  68. 68What is the value of ?2013 (Phase 1)Basic Identities & T Ratios
  69. 69If is the number of degrees contained in an angle, is the number of minutes and is the number of seconds, then the value of is2013 (Phase 1)Measurement of Angles
  70. 70The expression is equal to2013 (Phase 1)Basic Identities & T Ratios
  71. 71What is equal to?2013 (Phase 1)T-Ratios of Multiple & sub multiple angles
  72. 72In any triangle and . Then what is equal to?2013 (Phase 1)Cosine Rule and Projection Formula
  73. 73If , then is equal to2013 (Phase 1)Sum and difference of angles
  74. 74A man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from to . The height of the la2013 (Phase 1)Heights and Distances
  75. 75The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun's elevation is than when it is . The height of the t2013 (Phase 1)Heights and Distances
  76. 76What is the degree of the differential equation2013 (Phase 1)Order and Degree
  77. 77The general solution of the differential equation where is an orbitrary constant.2013 (Phase 1)Variable Separable Form
  78. 78What is the area of the triangle bounded by the sides and ?2013 (Phase 1)Area of Curve along axis
  79. 79The general solution of the differential equation is2013 (Phase 1)Variable Separable Form
  80. 80If is perpendicular to both and where and , then what is equal to?2013 (Phase 1)Product of 2 vectors
  81. 81For any vector , what is equal to?2013 (Phase 1)Algebra of Vectors
  82. 82If the magnitude of equals to , then which one of the following is correct?2013 (Phase 1)Product of 2 vectors
  83. 83If and , then what is equal to?2013 (Phase 1)Algebra of Vectors
  84. 84Which one of the following vectors is normal to the vector ?2013 (Phase 1)Product of 2 vectors
  85. 85If is the angle between the vectors and , then what is equal to?2013 (Phase 1)Product of 2 vectors
  86. 86The average marks obtained by the students in a class are 43 . If the average marks obtained by 25 boys are 40 and the average marks obtaine2013 (Phase 1)Mean
  87. 87Marks obtained by 7 students in a subject are 30,55 , . The number of students securing marks less than the mean marks is2013 (Phase 1)Mean
  88. 88Variance is always independent of the change of2013 (Phase 1)Measures of Dispersion
  89. 89If two lines of regression are perpendicular, then the correlation coefficient is2013 (Phase 1)Statistics
  90. 90The standard deviation of the observations , 5 is2013 (Phase 1)Measures of Dispersion
  91. 91The function attains minimum value at2013 (Phase 1)Maxima Minima
  92. 92The curve has minimum value equal to2013 (Phase 1)Maxima Minima
  93. 93Consider the following statements : 1. The derivative where the function attains maxima or minima must be zero. 2. If a function is differen2013 (Phase 1)Maxima Minima
  94. 94What is the differential coefficient of ?2013 (Phase 1)Differentiation of composite functions
  95. 95What is equal to?2013 (Phase 1)Definite Integration by Substitution
  96. 96What is equal to?2013 (Phase 1)Properties of Definite Integration
  97. 97What is equal to?2013 (Phase 1)Definite Integration by Parts
  98. 98What is equal to? where is constant of integration.2013 (Phase 1)Fundamental of Indefinite Integration
  99. 99What is is equal to?2013 (Phase 1)Properties of Definite Integration
  100. 100What is equal to ? where is the constant of integration.2013 (Phase 1)Integration by Substitution
  101. 101What is the area of the region enclosed by and ?2013 (Phase 1)Area of Curve along axis
  102. 102What is the area of the parabola bounded by its latus rectum?2013 (Phase 1)standard equation of parabola
  103. 103The derivative of with respect to is2013 (Phase 1)Differentiation of composite functions
  104. 104The differential equation of the curve is2013 (Phase 1)Formation of Differential Equation
  105. 105The degree and order respectively of the differential equation are2013 (Phase 1)Order and Degree
  106. 106In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  107. 107In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  108. 108In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  109. 109In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  110. 110In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  111. 111In a state with a population of of them know Hindi, 22% know English, 18% know Sanskrit, 12% know Hindi and English, 8% know English and San2013 (Phase 1)Questions on Venn Diagram
  112. 112What is the degree of the equation ?2013 (Phase 1)Inequalities
  113. 113Which one of the following is a null set?2013 (Phase 1)Questions on number of relations and sets
  114. 114If , then what is the number of elements in ?2013 (Phase 1)Questions on number of relations and sets
  115. 115What is the value of2013 (Phase 1)Logarithm
  116. 116If is a relation on a set , then which one of the following is correct?2013 (Phase 1)Questions on number of relations and sets
  117. 117Let N be the set of natural numbers and be a function given by for . Which one of the following is correct?2013 (Phase 1)Questions on number of relations and sets
  118. 118If the sum of the roots of a quadratic equation is 3 and the product is 2 , then the equation is2013 (Phase 1)Relation between Roots and Coefficients
  119. 119If and are the roots of the equation , then what is the value of ?2013 (Phase 1)Relation between Roots and Coefficients
  120. 120The area of a rectangle whose length is five more than twice its width is 75 square unit. The length is2013 (Phase 1)Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are in the NDA 2013 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 2013 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2013.

4.How is the NDA 2013 Phase 1 paper structured?

The NDA 2013 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 2013 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 177 (66%) are easy, 93 (34%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 110 easy, 40 medium, 0 hard
  • Mathematics: 67 easy, 53 medium, 0 hard
6.Which chapters were asked the most in the NDA 2013 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: English (50), General Science (50), and General Studies (50).
  • Mathematics: Probability (11), Sets and Relations (10), and Trigonometric Ratios & Identities (10).
7.Where can I find the solutions for the NDA 2013 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 2013 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 2013 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.