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NDA 2010 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2010 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 - 140 easy (52%), 129 moderate (48%) 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 27% easy, 73% moderate, 1% tough; General Ability 72% easy, 28% moderate, 0% tough.

General Ability questions were entirely from General Science (54), English (49), and General Studies (47). Mathematics questions were spread across 32 chapters, with Trigonometric Ratios & Identities (10), Three Dimensional Geometry (9), and Probability (8) carrying the most weight.

General Ability

  1. 1(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  2. 2(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  3. 3(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  4. 4(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  5. 5(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  6. 6(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  7. 7(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  8. 8(i) In this section, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . 2010 (Phase 1)Spotting The Errors
  9. 9Fill in the blanks with the appropriate word or group of words. Although I was ............ of his plans, I encouraged him, because there wa2010 (Phase 1)Fillers
  10. 10Fill in the blanks with the appropriate word or group of words. You have no business to .......... pain on a weak and poor person.2010 (Phase 1)Fillers
  11. 11Fill in the blanks with the appropriate word or group of words. Her uncle died in a car accident. He was quite rich. She suddenly ......... 2010 (Phase 1)Fillers
  12. 12Fill in the blanks with the appropriate word or group of words. There was a major accident. The plane crashed. The pilot .......... did not 2010 (Phase 1)Sentence Completion
  13. 13Fill in the blanks with the appropriate word or group of words. The car we were travelling in ............ a mile from home.2010 (Phase 1)Idioms and Phrases
  14. 14Fill in the blanks with the appropriate word or group of words. What are you .......... in the kitchen cupboard?2010 (Phase 1)Fillers
  15. 15Fill in the blanks with the appropriate word or group of words. I did not see the point of ......... waiting for them, so I went home.2010 (Phase 1)Fillers
  16. 16Fill in the blanks with the appropriate word or group of words. He lost confidence and .......... of the deal at the last minute.2010 (Phase 1)Idioms and Phrases
  17. 17Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. Teaching in universities2010 (Phase 1)Synonyms
  18. 18Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. The policemen kept on qu2010 (Phase 1)Synonyms
  19. 19Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. Very few people are IMPE2010 (Phase 1)Synonyms
  20. 20Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. The students took COPIOU2010 (Phase 1)Synonyms
  21. 21Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. After weeks of FRENETIC 2010 (Phase 1)Synonyms
  22. 22Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. He had the AUDACITY to i2010 (Phase 1)Synonyms
  23. 23Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. He fell into an ABYSS of2010 (Phase 1)Synonyms
  24. 24Select the synonym of the word or group of words (occurring in the sentence in capital letters) as per the context. The engineer ROUGHED OUT2010 (Phase 1)Synonyms
  25. 25You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  26. 26You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  27. 27You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  28. 28You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  29. 29You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  30. 30You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  31. 31You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  32. 32You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  33. 33You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Biology
  34. 34You have a short passage. After the passage, you will find several questions based on the passage. First, read a passage and then answer the2010 (Phase 1)Comprehension Ability
  35. 35Select the antonym of the word (occurring in the sentence in capital letters) as per the context. He is man of EXTRAVAGANT habits.2010 (Phase 1)Antonyms
  36. 36Select the antonym of the word (occurring in the sentence in capital letters) as per the context. They employ only DILIGENT workers.2010 (Phase 1)Antonyms
  37. 37Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His success in the preliminary examination2010 (Phase 1)Antonyms
  38. 38Select the antonym of the word (occurring in the sentence in capital letters) as per the context. In this competition, he has become the VIC2010 (Phase 1)Antonyms
  39. 39Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His behaviour at social gatherings is LAUD2010 (Phase 1)Antonyms
  40. 40Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The characters in this story are not all F2010 (Phase 1)Antonyms
  41. 41Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The RELUCTANCE of the officer was obvious.2010 (Phase 1)Antonyms
  42. 42Select the antonym of the word (occurring in the sentence in capital letters) as per the context. He is a GENEROUS man.2010 (Phase 1)Antonyms
  43. 43In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Jumbled Sentences & Paragraphs
  44. 44In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Jumbled Sentences & Paragraphs
  45. 45In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Sentence Improvement
  46. 46In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Sentence Improvement
  47. 47In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Jumbled Sentences & Paragraphs
  48. 48In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Sentence Improvement
  49. 49In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Jumbled Sentences & Paragraphs
  50. 50In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled P, Q, 2010 (Phase 1)Sentence Improvement
  51. 51Which one of the following pairs does not have the same dimension?2010 (Phase 1)Physics
  52. 52Which one of the following graphs represents uniform motion?2010 (Phase 1)Physics
  53. 53How many sixty watt ( 60 W ) bulbs may be safely used in a supply with 4 -ampere fuse?2010 (Phase 1)Physics
  54. 54A vessel contains oil (density ) over a liquid of density ; a homogeneous sphere of volume V floats with half of its volume immersed in the 2010 (Phase 1)Physics
  55. 55For a simple pendulum in simple harmonic motion, which of the following statements is/are correct? 1. The kinetic energy is maximum at the m2010 (Phase 1)Physics
  56. 56The metal atom, which is present in superphosphate, is2010 (Phase 1)Chemistry
  57. 57The best and the poorest conductors of heat are respectively2010 (Phase 1)Physics
  58. 58Which one among the following metals is more reactive than hydrogen?2010 (Phase 1)Chemistry
  59. 59The number of neutrons in is2010 (Phase 1)Chemistry
  60. 60The following questions are based on the table given below. You are to match List-I with List-II, List-III and List-IV, and select the corre2010 (Phase 1)Chemistry
  61. 61The following questions are based on the table given below. You are to match List-I with List-II, List-III and List-IV, and select the corre2010 (Phase 1)Chemistry
  62. 62The following questions are based on the table given below. You are to match List-I with List-II, List-III and List-IV, and select the corre2010 (Phase 1)Chemistry
  63. 63The following questions are based on the table given below. You are to match List-I with List-II, List-III and List-IV, and select the corre2010 (Phase 1)Chemistry
  64. 64Which one of the following is a transition metal?2010 (Phase 1)Chemistry
  65. 65Which one of the following gases, present in the air near the surface of the Earth, has maximum concentration?2010 (Phase 1)Chemistry
  66. 66Which one of the following elements will replace hydrogen from acids to form salts?2010 (Phase 1)Chemistry
  67. 67Which of the following represent a chemical change? 1. Magnetisation of iron 2. Condensation of liquid 3. Burning of fuel 4. Rusting of iron2010 (Phase 1)Chemistry
  68. 68Which one among the following is the correct order of reactivity of the elements?2010 (Phase 1)Chemistry
  69. 69Vinegar is produced from2010 (Phase 1)Chemistry
  70. 70Match List-I with List-II and select the correct answer using the code given below the Lists:2010 (Phase 1)Chemistry
  71. 71Iron ore from Kudremukh is most likely to be exported through2010 (Phase 1)Geography
  72. 72Match List-I with List-II and select the correct answer using the code given below the Lists:2010 (Phase 1)Geography
  73. 73Arrange the following States on the basis of ascending dates of the onset of monsoon: 1. Uttar Pradesh 2. West Bengal 3. Kerala 4. Rajasthan2010 (Phase 1)Geography
  74. 74Which of the following are west following rivers? 1. Krishna 2. Narmada 3. Mahanadi 4. Sabarmati Select the correct answer using the code gi2010 (Phase 1)Geography
  75. 75Whcih of the following statements are correct? 1. In a cyclone, the area of low pressure is at the centre surrounded by the areas of high pr2010 (Phase 1)Geography
  76. 76Which part of brain controls fine movement, maintains balance and equilibrium of the body and muscle tone in a human being?2010 (Phase 1)Biology
  77. 77Leishmania, the causative agent of kala-azar, multiplies asexually by2010 (Phase 1)Biology
  78. 78Administering a vaccine provides protection by inducing synthesis of antibodies (proteins) specific to the vaccine. The cell in the body res2010 (Phase 1)Biology
  79. 79Biological catalysts in living organisms are known as2010 (Phase 1)Chemistry
  80. 80To which one of the following types of organism do mushrooms belong?2010 (Phase 1)Biology
  81. 81Among the following elements, which one is essential for the transmission of impulses in the nerve fibre?2010 (Phase 1)Biology
  82. 82Cure to spinal injury is likely to emerge from2010 (Phase 1)Biology
  83. 83Food wrapped in newspaper is likely to get contaminated with2010 (Phase 1)Chemistry
  84. 84Which one among the following produces seeds but not flowers?2010 (Phase 1)Biology
  85. 85Which among the following is not a true fruit?2010 (Phase 1)Biology
  86. 86The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Polity
  87. 87The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Polity
  88. 88The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)History
  89. 89The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Geography
  90. 90The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Geography
  91. 91The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Geography
  92. 92The questions consist of two statements, Statement I and Statement II. You are to examine these two statements carefully and select the answ2010 (Phase 1)Geography
  93. 93Consider the following statement and identify with the help of the code given below the Viceroy who made the statement and when: In my belie2010 (Phase 1)History
  94. 94The Copenhagen Summit for Climate Change, 2009 saw2010 (Phase 1)General Knowledge
  95. 95Consider the following paragraph and identify with the help of the code given below the writer referred to therein: She is the winner of the2010 (Phase 1)General Knowledge
  96. 96Consider the following paragraph and identify with the help of the code given below the Church referred to therein: Considered as one of the2010 (Phase 1)History
  97. 97Ms. Reena Kaushal Dhrmshaktu is the first Indian woman2010 (Phase 1)General Knowledge
  98. 98Which one among the following is the latest milestone of Doordarshan, the public broadcaster of India?2010 (Phase 1)General Knowledge
  99. 99START (Strategic Arms Reduction Treaty) is a treaty between/among2010 (Phase 1)General Knowledge
  100. 100Which one of the following is not a member of BASIC bloc of countries?2010 (Phase 1)Economy
  101. 101'Pitch' is a characteristic of sound that depends upon its2010 (Phase 1)Physics
  102. 102The ratio of the focal length of the objective to the focal length of the eyepiece is greater than one for2010 (Phase 1)Physics
  103. 103The effective resistance of three equal resistances, each of resistance , connected in parallel, is2010 (Phase 1)Physics
  104. 104A fan produces a feeling of comfort during hot weather, because2010 (Phase 1)Physics
  105. 105Which one of the following statements is correct?2010 (Phase 1)Chemistry
  106. 106The ratio of velocity of X-rays to that of gamma rays2010 (Phase 1)Physics
  107. 107Which one of the following pairs of rays is electromagnetic in nature?2010 (Phase 1)Physics
  108. 108The magnetic lines of force due to a bar magnet2010 (Phase 1)Physics
  109. 109The specific resistance of a conducting wire depends upon2010 (Phase 1)Physics
  110. 110When X-rays are produced2010 (Phase 1)Physics
  111. 111Which one of the statements given below is not correct?2010 (Phase 1)Physics
  112. 112If an object is placed at the centre of curvature of a concave mirror, the position of the image is2010 (Phase 1)Physics
  113. 113The radius of curvature of a plane mirror2010 (Phase 1)Physics
  114. 114A coin in a beaker filled with water appears raised. This phenomenon occurs because of the property of2010 (Phase 1)Physics
  115. 115A ray of light falls on a transparent glass plate. A part of it is reflected and a part is refracted. The reflected and refracted rays can b2010 (Phase 1)Physics
  116. 116A man with a dark skin, in comparison with a man with a white skin, will experience2010 (Phase 1)Physics
  117. 117Which one among the following denotes the smallest temperature?2010 (Phase 1)Physics
  118. 118A particle oscillates in one dimension about the equilibrium position subject to a force that has an associated potential energy . If is the2010 (Phase 1)Physics
  119. 119When a body moves with simple harmonic motion, then the phase difference between the velocity and the acceleration is2010 (Phase 1)Physics
  120. 120A body is thrown veltically upwards and then falls back on the ground. Its potential energy is maximum2010 (Phase 1)Physics
  121. 121Mahatma Gandhi and Rabindranath Tagore did not define India as a 'nation', because they were2010 (Phase 1)History
  122. 122Socialism refers to2010 (Phase 1)History
  123. 123According to Karl Marx, attainment of communism is possible only after2010 (Phase 1)History
  124. 124India's 'Look East Policy' 1. was articulated during the regin of H.D. Deve Gowda as India's Prime Minister. 2. is directed towards South-Ea2010 (Phase 1)Polity
  125. 125Cloudy nights are warmer than clear nights because of2010 (Phase 1)Chemistry
  126. 126Match List-I with List-II and select the correct answer using the code given below the Lists:2010 (Phase 1)Geography
  127. 127If it is 12 noon in a city located on longitude, what would be the time in a city located on longitude?2010 (Phase 1)Geography
  128. 128As we proceed from equator to poles, the daily range of temperature tends to2010 (Phase 1)Geography
  129. 129Doldrums are characterised by2010 (Phase 1)Geography
  130. 130Glaciated regions are associated with2010 (Phase 1)Geography
  131. 131Which one of the following is generally found in sedimentary rocks?2010 (Phase 1)Geography
  132. 132The interval between two high tides is approximately2010 (Phase 1)Geography
  133. 133Xerophytes thrive in2010 (Phase 1)Biology
  134. 134Biodiversity is highest in2010 (Phase 1)Biology
  135. 135Which of the following statements is/are correct? 1. Lunar eclipse takes place when the Earth comes directly between the Sun and the Moon. 22010 (Phase 1)Geography
  136. 136Which of the following is/are instance(s) of violation of human rights? 1. A person was detained by the security forces while going for cast2010 (Phase 1)Polity
  137. 137Consider the following paragraph about one of the prominent personalities of India and identify him/her using the code given below: One of t2010 (Phase 1)General Knowledge
  138. 138Operation Vajraprabar is the joint counter-terrorism exercise between Indian Army and2010 (Phase 1)General Knowledge
  139. 139The notion of saptanga that was introduced in Arthashastra includes2010 (Phase 1)History
  140. 140The immediate cause of the revival of human rights in post-Second World War period was2010 (Phase 1)History
  141. 141Which one of the following with regard to the Poona Pact, 1932 is not correct?2010 (Phase 1)History
  142. 142The Government of India Act, 1935 was based on2010 (Phase 1)History
  143. 143Which of the following statements with regard to freedom struggle are correct? If 1. The British rule could prevail in India on the basis of2010 (Phase 1)History
  144. 144Which one of the following statements with regard to 'Direct Action Day' is correct?2010 (Phase 1)History
  145. 145Planning in India drew on2010 (Phase 1)Economy
  146. 146The Haripura Congress (1938) remains a milestone in Indian freedom struggle, because2010 (Phase 1)History
  147. 147The Constitution (93rd Amendment) Act deals with2010 (Phase 1)Polity
  148. 148Which of the following statements is/are not violative of the principle of federalism? 1. The President of India takes over administration o2010 (Phase 1)Polity
  149. 149Public Interest Litigation (PIL) may be linked with2010 (Phase 1)Polity
  150. 150In Hind Swaraj, Mahatma Gandhi was critical of railways, because they are 1. carriers of plague germs 2. instruments for frequency of famine2010 (Phase 1)History

Mathematics

  1. 1The geometric mean of three numbers was computed as 6. It was subsequently found that, in this computation, a number 8 was wrongly read as 12010 (Phase 1)Means
  2. 2Let , where . If its inverse matrix is , what is ?2010 (Phase 1)Inverse of a Matrix
  3. 3The angle A lies in the third quadrant and it satisfies the equation . What is the measure of the angle A ?2010 (Phase 1)Solving Trigonometric Equation
  4. 4What is the area enclosed between the curves and the lines and ?2010 (Phase 1)Area of Curve along axis
  5. 5In triangle and . What is the measure of the angle ?2010 (Phase 1)Cosine Rule and Projection Formula
  6. 6What is the modulus of ?2010 (Phase 1)Conjugate, modulus and argument
  7. 7If the line through the points and is perpendicular to the line through the points and , then what is the value of ?2010 (Phase 1)Direction Cosines and Direction Ratios
  8. 8What is equal to? where is constant of integration.2010 (Phase 1)Integration by Substitution
  9. 9The function is2010 (Phase 1)Continuity
  10. 10What is the solution of the differential equation ?2010 (Phase 1)Variable Separable Form
  11. 11A vector is collinear with the vector and satisfies the condition . What is equal to?2010 (Phase 1)Algebra of Vectors
  12. 12What is the least positive integer for which ?2010 (Phase 1)nth roots of unity
  13. 13The vector are such that they form a right-handed system. What is equal to?2010 (Phase 1)Scalar Triple Product
  14. 14If , then what is equal to?2010 (Phase 1)Parametric differentiation
  15. 15What is equal to?2010 (Phase 1)Properties of Definite Integration
  16. 16What is the number of ways of arranging the letters of the word 'BANANA' so that no two N's appear together?2010 (Phase 1)Arrangement under Constraint
  17. 17Consider the equation having integer coefficients. If the equation has integral roots, then what values can have?2010 (Phase 1)Relation between Roots and Coefficients
  18. 18What is the equivalent binary number of the decimal number 13.625?2010 (Phase 1)Decimal to Binary Conversion
  19. 19What is the value of2010 (Phase 1)De Moivres Theorem
  20. 20The order of a set is 3 and that of a set is 2 . What is the number of relations from A to B ?2010 (Phase 1)Questions on number of relations and sets
  21. 21What is the value of ?2010 (Phase 1)Logarithm
  22. 22The 59th term of an AP is 449 and the 449th term is 59. Which term is equal to 0 (zero)?2010 (Phase 1)Arithmetic Progression
  23. 23For a set A , consider the following statements: I. II. III. where P denotes the power set. Which of the statements given above is/are corre2010 (Phase 1)Questions on number of relations and sets
  24. 24If the AM and HM of two numbers are 27 and 12 respectively, then what is their GM equal to?2010 (Phase 1)Means
  25. 25If and , then what is the value of ?2010 (Phase 1)Sum and Difference & Multiple angle Formula
  26. 26If and are the foci of an ellipse and the semi-minor axis is 3 ; then the ellipse passes through which one of the following points?2010 (Phase 1)Equation of Ellipse
  27. 27Under what condition do the planes intersect in a line?2010 (Phase 1)Line and Plane
  28. 28What is the maximum point on the curve ?2010 (Phase 1)Maxima Minima
  29. 29The function is2010 (Phase 1)Types of Function (Mapping)
  30. 30If , then what is equal to?2010 (Phase 1)T inverse T property
  31. 31If , then what is the value of the determinant ?2010 (Phase 1)Expansion of Determinants
  32. 32Let X be the set of all graduates in India. Elements and in X are said to be related if they are graduates of the same university. Which one2010 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  33. 33If , then what is equal to?2010 (Phase 1)Conjugate, modulus and argument
  34. 34Consider the following statements: I. For any three vectors ; II. For any three coplanar unit vectors Which of the statements given above is2010 (Phase 1)Scalar Triple Product
  35. 35Consider the following lists: Each item under List-I is associated with one or more items under List-II. (a) is associated with2010 (Phase 1)Basic Identities & T Ratios
  36. 36Consider the following lists: Each item under List-I is associated with one or more items under List-II. (b) is associated with2010 (Phase 1)Basic Identities & T Ratios
  37. 37Consider the following lists: Each item under List-I is associated with one or more items under List-II. (c) is associated with2010 (Phase 1)Basic Identities & T Ratios
  38. 38If and are positive integers, then which one of the following equations has as one of its roots?2010 (Phase 1)Relation between Roots and Coefficients
  39. 39Given two squares of sides and such that . What is the rate of change of area of the second square with respect to the area of the first squ2010 (Phase 1)Rate Measure Error and Approximation
  40. 40The planes and intersect at an angle . What is the value of ?2010 (Phase 1)Plane in Space
  41. 41The growth of a quantity at any instant is given by . Given that is a constant, what is the value of ?2010 (Phase 1)Formation of Differential Equation
  42. 42A circle is drawn with the two foci of an ellipse at the end of the diameter. What is the equation to the circle?2010 (Phase 1)Equation of Ellipse
  43. 43What is the image of the point on the line2010 (Phase 1)Point and Line
  44. 44If the product of the roots of he equation is -3 , then what is the value of ?2010 (Phase 1)Relation between Roots and Coefficients
  45. 45Consider the following statements: I. Every function has a primitive. II. A primitive of a function is unique. Which of the statements given2010 (Phase 1)Fundamental of Indefinite Integration
  46. 46Let and be the vertices of a parallelogram taken in order. What is the value of ?2010 (Phase 1)Basics of point in 3 dimension
  47. 47What is the solution of the differential equation tan ? where is a constant of integration.2010 (Phase 1)Variable Separable Form
  48. 48What is the locus of points, the difference of whose distances from two points being constant?2010 (Phase 1)General Equation of 2nd degree curve
  49. 49What is the differential equation for ?2010 (Phase 1)Formation of Differential Equation
  50. 50If the angle between the vector and is , what is the angle between and ?2010 (Phase 1)Algebra of Vectors
  51. 51What is the degree of the differential equation ?2010 (Phase 1)Order and Degree
  52. 52If , then what are the values of and respectively? where is a constant of integration.2010 (Phase 1)Integration by Parts
  53. 53What is the principal value of ?2010 (Phase 1)Principal Value and Basics
  54. 54If and and , then what is the value of ?2010 (Phase 1)Composite Function
  55. 55What is the value of ?2010 (Phase 1)Algebraic and Rational Limits
  56. 56A balloon is pumped at the rate of per second. What is the rate at which its surface area increases when its radius is 4 cm ?2010 (Phase 1)Rate Measure Error and Approximation
  57. 57What is the value of ?2010 (Phase 1)Sum and Difference & Multiple angle Formula
  58. 58If is monotonically increasing in every interval, then which one of the following is correct?2010 (Phase 1)Monotonicity
  59. 59If , then what is the value of ?2010 (Phase 1)Sum and difference of angles
  60. 60If are the roots of the quadratic equation , then which one of the following is correct?2010 (Phase 1)Relation between Roots and Coefficients
  61. 61If then what is the number of proper subsets of A?2010 (Phase 1)Questions on number of relations and sets
  62. 62What is the number of three-digit odd numbers formed by using the digits if repetition of digits is allowed?2010 (Phase 1)Permutation
  63. 63Let . Let there exist a matrix such that . What is B equal to?2010 (Phase 1)Inverse of a Matrix
  64. 64Consider the following statements: I. The probability that there are 53 Sundays in a leap year is twice the probability that there are 53 Su2010 (Phase 1)Classical Definition of Probability
  65. 65Consider the following statements: I. If , then A is a singular matrix, where is the transpose of A . II. If is a square matrix such that , 2010 (Phase 1)Inverse of a Matrix
  66. 66If times the th term of an AP is times the th term, then what is the th term equal to?2010 (Phase 1)Arithmetic Progression
  67. 67A team of 8 players is to be chosen from a group of 12 players. Out of the eight players one is to be elected as captain and another as vice2010 (Phase 1)Permutation
  68. 68In tossing three coins at a time, what is the probability of getting at most one head?2010 (Phase 1)Classical Definition of Probability
  69. 69What is the sum of the coefficients of all the terms in the expansion of ?2010 (Phase 1)Properties of Binomial Coefficients
  70. 70Two balls are selected from a box containing 2 blue and 7 red balls. What is the probability that at least one ball is blue?2010 (Phase 1)Addition and Subtraction Theorems
  71. 71If the equation does not possess real roots, then which one of the following is correct?2010 (Phase 1)Relation between Roots and Coefficients
  72. 72The probability of guessing a correct answer is . If the probability of not guessing the correct answer is , then what is equal to?2010 (Phase 1)Addition and Subtraction Theorems
  73. 73If the system of equations and has infinitely many solutions, then which one of the following is correct?2010 (Phase 1)System of Linear Equations
  74. 74If and are the roots of the equation , then what are the values of and respectively?2010 (Phase 1)Relation between Roots and Coefficients
  75. 75Consider the following statements related to a variable X having a binomial distribution : I. If , then the distribution is symmetrical. II.2010 (Phase 1)Bernoulli Trial and Binomial Distribution
  76. 76What is the value of for which the vectors , , are coplanar?2010 (Phase 1)Algebra of Vectors
  77. 77What is the equation of the plane through -axis and parallel to the line2010 (Phase 1)Plane in Space
  78. 78If the lines and are concurrent, then what is the value of ?2010 (Phase 1)Concurrency & Family of Lines
  79. 79What is the lease value of on2010 (Phase 1)Maxima Minima
  80. 80What is the derivative of ?2010 (Phase 1)Differentiation of composite functions
  81. 81If divides the line segment between the coordinate axes in the ratio , then what is its equation?2010 (Phase 1)Coordinate System
  82. 82What is the value of2010 (Phase 1)Expansion of Determinants
  83. 83Out of 32 persons, 30 invest in National Savings Certificates and 17 invest in shares. What is the number of persons who invest in both?2010 (Phase 1)Questions on Venn Diagram
  84. 84What are the equations of the directrices of the ellipse ?2010 (Phase 1)Equation of Ellipse
  85. 85Let A be an matrix. If , what is the value of ?2010 (Phase 1)Expansion of Determinants
  86. 86Let E be the ellipse and C be the circle . Let and . Which one of the following is correct?2010 (Phase 1)Position of point
  87. 87What is the geometric interpretation of the identity I. If the diagonals of a given parallelogram are used as sides of a second parallelogra2010 (Phase 1)Product of 2 vectors
  88. 88What is ?2010 (Phase 1)Properties of Definite Integration
  89. 89The function from R to R is2010 (Phase 1)Types of Function (Mapping)
  90. 90If A be a real skew-symmetric matrix of order such that , being the identity matrix of the same order as that of A , then what is the order 2010 (Phase 1)Types of Matrices
  91. 91What is the value of2010 (Phase 1)Sum and Difference & Multiple angle Formula
  92. 92The probability distribution of random variable X with two missing probabilities and is given below: It is further given that and . Consider2010 (Phase 1)Random Variable and its Probability Distribution
  93. 93If angles are in AP , then what is equal to?2010 (Phase 1)Sum and Difference & Multiple angle Formula
  94. 94Statement I: If , then Statement II : If , then Which one of the following is correct in respect of the above statements?2010 (Phase 1)T inverse T property
  95. 95Statement I : is an increasing function of . Statement II : is positive for all values of . Which one of the following is correct in respect2010 (Phase 1)T inverse T property
  96. 96Consider the following statements in respect of circles and I. The radius of the first circle is twice that of the second circle. II. Both t2010 (Phase 1)Equation of Circle & its intercept
  97. 97Let be in AP. Consider the following statements: I. are in AP. II. are in AP. Which of the statements given above is/are correct?2010 (Phase 1)Arithmetic Progression
  98. 98What is the differentiation of with respect to ?2010 (Phase 1)Derivative of f(x) wrt g(x)
  99. 99What is equal to?2010 (Phase 1)T-Ratios of Multiple & sub multiple angles
  100. 100What is the value of ?2010 (Phase 1)Sum and Difference & Multiple angle Formula
  101. 101The vertices of a cube are , respectively. What is the angle between any two diagonals of the cube?2010 (Phase 1)Direction Cosines and Direction Ratios
  102. 102The vertices of a cube are , respectively. What is the angle between one of the edges of the cube and the diagonal of the cube intersecting 2010 (Phase 1)Direction Cosines and Direction Ratios
  103. 103The vertices of a cube are , respectively. What is the angle between the diagonal of one of the faces of the cube and the diagonal of the cu2010 (Phase 1)Direction Cosines and Direction Ratios
  104. 104Let and be two unit vectors and be the angle between them. If is also the unit vector, then what is the value of ?2010 (Phase 1)Algebra of Vectors
  105. 105What is the value of2010 (Phase 1)Arithmetic Operations of Binary Numbers
  106. 106The table below gives an incomplete frequency distribution with two missing frequencies and . The total frequency is 18 and the arithmetic m2010 (Phase 1)Mean
  107. 107The table below gives an incomplete frequency distribution with two missing frequencies and . The total frequency is 18 and the arithmetic m2010 (Phase 1)Measures of Dispersion
  108. 108The table below gives an incomplete frequency distribution with two missing frequencies and . The total frequency is 18 and the arithmetic m2010 (Phase 1)Measures of Dispersion
  109. 109What is the sum of all natural numbers between 200 and 400 which are divisible by 7 ?2010 (Phase 1)Arithmetic Progression
  110. 110The mean and variance of a binomial distribution are 8 and 4 respectively. What is equal to?2010 (Phase 1)Bernoulli Trial and Binomial Distribution
  111. 111What is equal to? where is a constant of integration.2010 (Phase 1)Integration by Parts
  112. 112An observed event B can occur after one of the three events . If and , , what is the probability of after observing B?2010 (Phase 1)Baye's Theorem
  113. 113What is equal to? where is a constant of integration.2010 (Phase 1)Integration by Substitution
  114. 114What is the value of ?2010 (Phase 1)Special Forms
  115. 115What is the area of the triangle with vertices , and ?2010 (Phase 1)Basics of point in 3 dimension
  116. 116If is one of the roots of where are real, then what are the values of , c respectively?2010 (Phase 1)Relation between Roots and Coefficients
  117. 117If is a complex cube root of unity and , then what is the value of ?2010 (Phase 1)Cube Root of Unity
  118. 118If , then what is equal to?2010 (Phase 1)T-Ratios of Multiple & sub multiple angles
  119. 119The angle of the elevation of the tip of a flag post from a point 5 m away from its base is 75 . What is the approximate height of the flag 2010 (Phase 1)Heights and Distances
  120. 120If where P denotes the power set, then which one of the following is correct?2010 (Phase 1)Questions on number of relations and sets

Frequently Asked Questions

1.How many questions are in the NDA 2010 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 2010 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2010.

4.What is the structure of the NDA 2010 Phase 1 paper?

The NDA 2010 Phase 1 paper on MARKS has 270 questions, organised by subject:

  • General Ability: 150 questions - 150 single-correct.
  • Mathematics: 120 questions - 120 single-correct.
5.What is the difficulty level of the NDA 2010 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 140 (52%) are easy, 129 (48%) are medium and 1 (0%) are hard. Subject wise:

  • General Ability: 108 easy, 42 medium, 0 hard
  • Mathematics: 32 easy, 87 medium, 1 hard
6.Which chapters had the most questions in the NDA 2010 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (54), English (49), and General Studies (47).
  • Mathematics: Trigonometric Ratios & Identities (10), Three Dimensional Geometry (9), and Probability (8).
7.Where can I find the solutions for the NDA 2010 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 2010 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 2010 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.