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NDA 2011 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2011 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 - 134 easy (50%), 131 moderate (49%) and 5 tough (2%). 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 31% easy, 65% moderate, 4% tough; General Ability 65% easy, 35% moderate, 0% tough.

General Ability questions were entirely from General Studies (53), General Science (49), and English (48). Mathematics questions were spread across 30 chapters, with Sets and Relations (10), Quadratic Equation (9), and Vector Algebra (9) carrying the most weight.

General Ability

  1. 1Read a passage and then answer the questions based on it. Gandhi was not born great. He was a blundering boy, a mediocre student, a poor law2011 (Phase 1)Comprehension Ability
  2. 2Read a passage and then answer the questions based on it. Gandhi was not born great. He was a blundering boy, a mediocre student, a poor law2011 (Phase 1)Comprehension Ability
  3. 3Read a passage and then answer the questions based on it. Gandhi was not born great. He was a blundering boy, a mediocre student, a poor law2011 (Phase 1)Comprehension Ability
  4. 4Read a passage and then answer the questions based on it. Gandhi was not born great. He was a blundering boy, a mediocre student, a poor law2011 (Phase 1)Comprehension Ability
  5. 5Read a passage and then answer the questions based on it. The dog fence in Australia has been erected to keep out hostile invaders, in this 2011 (Phase 1)Comprehension Ability
  6. 6Read a passage and then answer the questions based on it. The dog fence in Australia has been erected to keep out hostile invaders, in this 2011 (Phase 1)Comprehension Ability
  7. 7Read a passage and then answer the questions based on it. The dog fence in Australia has been erected to keep out hostile invaders, in this 2011 (Phase 1)Geography
  8. 8Read a passage and then answer the questions based on it. The dog fence in Australia has been erected to keep out hostile invaders, in this 2011 (Phase 1)Comprehension Ability
  9. 9Read a passage and then answer the questions based on it. Not all nocturnal animals have good eyesight. Many of them concentrate on the othe2011 (Phase 1)Comprehension Ability
  10. 10Read a passage and then answer the questions based on it. Not all nocturnal animals have good eyesight. Many of them concentrate on the othe2011 (Phase 1)Biology
  11. 11(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  12. 12(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  13. 13(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  14. 14(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  15. 15(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  16. 16(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  17. 17(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  18. 18(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  19. 19(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  20. 20(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled A, B, and2011 (Phase 1)Spotting The Errors
  21. 21Select the antonym of the word (occurring in the sentence in capital letters) as per the context. All care is FUTILE in a cureless case.2011 (Phase 1)Antonyms
  22. 22Select the antonym of the word (occurring in the sentence in capital letters) as per the context. REVELATION of facts became very easy when 2011 (Phase 1)Antonyms
  23. 23Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The story you have just told is INCREDIBLE2011 (Phase 1)Antonyms
  24. 24Select the antonym of the word (occurring in the sentence in capital letters) as per the context. His assignments have taken him to many EXO2011 (Phase 1)Antonyms
  25. 25Select the antonym of the word (occurring in the sentence in capital letters) as per the context. He has given up his VICIOUS habits.2011 (Phase 1)Antonyms
  26. 26Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The doctor found the patient INERT.2011 (Phase 1)Antonyms
  27. 27Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The issue was raised TANGENTIALLY in the n2011 (Phase 1)Antonyms
  28. 28Select the antonym of the word (occurring in the sentence in capital letters) as per the context. ESCALATING prices are causing hardship to 2011 (Phase 1)Antonyms
  29. 29Select the antonym of the word (occurring in the sentence in capital letters) as per the context. I have MALICE towards none.2011 (Phase 1)Antonyms
  30. 30Select the antonym of the word (occurring in the sentence in capital letters) as per the context. The boy comes of an AFFLUENT family.2011 (Phase 1)Antonyms
  31. 31In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  32. 32In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  33. 33In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  34. 34In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  35. 35In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Sentence Improvement
  36. 36In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Sentence Improvement
  37. 37In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Sentence Improvement
  38. 38In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Sentence Improvement
  39. 39In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  40. 40In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2011 (Phase 1)Jumbled Sentences & Paragraphs
  41. 41Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  42. 42Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  43. 43Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  44. 44Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  45. 45Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  46. 46Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  47. 47Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  48. 48Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  49. 49Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  50. 50Each of the following items consists of a sentence followed by four words or group of words. Select the synonym of the word (occurring in th2011 (Phase 1)Synonyms
  51. 51Which one among the following is not a reason for practising tank irrigation in the Peninsular India?2011 (Phase 1)Geography
  52. 52Identify from the following states of India through which the Tropic of Cancer passes and arrange them from east to west: 1. Gujarat 2. West2011 (Phase 1)Geography
  53. 53Hot deserts like Sahara, Arabia etc. receive very negligible amount of rainfall. This is because they:2011 (Phase 1)Geography
  54. 54The latitude is the angular distance of a point on the Earth's surface, north of south, of the Equator as measured from the: A.2011 (Phase 1)Geography
  55. 55When an Ordinary Bill is referred to a joint sitting of both the Houses of Indian Parliament, it has to be passed by a:2011 (Phase 1)Polity
  56. 56The Rowlatt Act was passed to:2011 (Phase 1)History
  57. 57Which one among the following features of the Constitution of India is indicative of the fact that the real executive power is vested in the2011 (Phase 1)Polity
  58. 58In which among the following cases the joint session of both the Houses of Parliament can be summoned? 1. To amend the Constitution 2. When 2011 (Phase 1)Polity
  59. 59The 'Bombay Plan' drafted by G.D. Birla and J.R.D. Tata emphasized:2011 (Phase 1)Economy
  60. 60Consider the following statements: 1. The Buddhists in Deccan excavated rock-cut Chaityas and the Vaishnavas, Shaivas and Jainas imitated th2011 (Phase 1)History
  61. 61Consider the following statements: 1. The Champaran Satyagraha marked Gandhiji's second appearance in India politics as a leader of the mass2011 (Phase 1)History
  62. 62Consider the following statements: 1. Charles Wood's Despatch of 1854 laid exclusive emphasis on the development of higher education in Indi2011 (Phase 1)History
  63. 63Consider the following statements about Gandhiji's thinking on enviroment: 1. His environmental thinking is rooted in his larger philosophic2011 (Phase 1)History
  64. 64Which one among the following is common to the treaty of Yandaboo (1826), the treaty of Salbai (1782) and the treaty of Gandamak (1879)?2011 (Phase 1)History
  65. 65Which one among the following was the major demand of the Bardoli Satyagraha (1928) organized under the leadership of Sardar Vallabhbhai Pat2011 (Phase 1)History
  66. 66Which one among the following statements is not correct?2011 (Phase 1)History
  67. 67Which one among the following statements regarding the Eighth Five Year Plan in India is not correct?2011 (Phase 1)Economy
  68. 68Which among the following statements is/are true with regard to WTO membership? 1. All WTO members automatically receive the 'most favoured 2011 (Phase 1)Economy
  69. 69TRIPS (Trade Related aspects of Intellectual Property Rights) agreement is administered by:2011 (Phase 1)General Knowledge
  70. 70Consider the following statements: 1. The G20 was established in 2008 in the wake of the global financial crisis led by the USA 2. It brings2011 (Phase 1)General Knowledge
  71. 71Which one among the following statements is not correct?2011 (Phase 1)Physics
  72. 72A body initially at rest is acted upon by a constant force. The rate of change of its kinetic energy varies:2011 (Phase 1)Physics
  73. 73A jet plane flies through air with a velocity of 2 Mach. While the velocity of sound is the air speed of the plane is:2011 (Phase 1)Physics
  74. 74Which one among the following statements is correct?2011 (Phase 1)Physics
  75. 75Light travels in optical fibre irrespective of its shape because it is a device by which signals can be transferred from one location to ano2011 (Phase 1)Physics
  76. 76A man is at rest in the middle of a horizontal plane of perfectly smooth surface of ice. He can move himself to the shore by making use of N2011 (Phase 1)Physics
  77. 77Which one among the following is the major cause of blurring and unsharp images of objects observed through very large telescope at the extr2011 (Phase 1)Physics
  78. 78Bats can ascertain distances, directions, nature and size of the obstacles at night. This is possible by reflection of the emitted:2011 (Phase 1)Physics
  79. 79When a moving bus suddenly applies brakes, the passengers sitting in it fall in the forward direction. This can be explained by:2011 (Phase 1)Physics
  80. 80The material used for electric fuse is an alloy of tin and lead. This alloy should have:2011 (Phase 1)Physics
  81. 81Suppose you are standing 1 m in front of a plane mirror. What should be the minimum vertical size of the mirror so that you can see your ful2011 (Phase 1)Physics
  82. 82Light travels slower in glass than in air because:2011 (Phase 1)Physics
  83. 83The lines of force of a uniform magnetic field:2011 (Phase 1)Physics
  84. 84A Jet engine works on the principle of conservation of:2011 (Phase 1)Physics
  85. 85The surface temperature of the Sun is nearly:2011 (Phase 1)General Knowledge
  86. 86Venkataraman Ramakrishnan was jointly awarded Nobel Prize in Chemistry in the year 2009 for the:2011 (Phase 1)Chemistry
  87. 87Which one among the following statements regarding cell is not correct?2011 (Phase 1)Biology
  88. 88Which one among the following Indian scientists proposed a theory for long distance transport of water in plants?2011 (Phase 1)Biology
  89. 89To a perpendicular to the plane of ecliptic, the Earth's axis of rotation makes an angle of degrees. Had this angle been 0 degree, which one2011 (Phase 1)Geography
  90. 90Jet streams are usually found in the:2011 (Phase 1)Geography
  91. 91There exceptionally high and low tides that occur at the time of the new moon or the full moon when the Sun, the Moon and the Earth are appr2011 (Phase 1)Geography
  92. 92What is the general direction of cyclones formed in the Bay of Bengal?2011 (Phase 1)Geography
  93. 93The Narmada river in the Peninsular plateau flows westward with a remarkably straight channel. It is because the:2011 (Phase 1)Geography
  94. 94No trees are found in Tundra biome near polar region of northern hemisphere. This is due to:2011 (Phase 1)Biology
  95. 95Why the summer monsoon winds blow from south-western direction in the northern hemisphere?2011 (Phase 1)Geography
  96. 96If the Earth's axis were perpendicular to the plane of its orbit, which one among the following would not have happened?2011 (Phase 1)Geography
  97. 97Match List-I with List-II and select the correct answer using the code given below the Lists:2011 (Phase 1)Geography
  98. 98Which one among the following is the best reason for the marked increase in the agricultural production in India in the past decades?2011 (Phase 1)Economy
  99. 99Which of the following statements regarding the Deccan Traps is/are correct? 1. Intense volcanic activity in the form of fissure eruption to2011 (Phase 1)Geography
  100. 100Consider the following statements: 1. The Himalayan vegetation varies according to both altitude and climatic conditions. 2. There are mainl2011 (Phase 1)Geography
  101. 101If the electrical resistance of a typical substance suddenly drops to zero, then the substance is called:2011 (Phase 1)Physics
  102. 102A spherical air bubble is embedded in a piece of glass. For a ray of light passing through the bubble, it behaves like a:2011 (Phase 1)Physics
  103. 103'The stars seem to be higher on the sky than they actually are'. This can be explained by:2011 (Phase 1)Physics
  104. 104Which one among the following is not a source of renewable energy?2011 (Phase 1)Geography
  105. 105A liquid rises to a certain length in a capillary tube. The tube is inclined to an angle of . The length of the liquid column will:2011 (Phase 1)Physics
  106. 106Mass of B is four times that of A. B moves with a velocity half that of . Then has:2011 (Phase 1)Physics
  107. 107In a pressure cooker cooking is faster because the increase in vapour pressure:2011 (Phase 1)Physics
  108. 108Magnets attract magnetic substances such as iron, nickel, cobalt etc. They can also repel:2011 (Phase 1)Physics
  109. 109When a ray of light is going from one medium to another, its:2011 (Phase 1)Physics
  110. 110Which one among the following is the main ingredient in cement?2011 (Phase 1)Chemistry
  111. 111Glass is actually:2011 (Phase 1)Chemistry
  112. 112Solutions in test tubes containing and aqueous NaOH can be differentiated with the help of:2011 (Phase 1)Chemistry
  113. 113A student heated some sulphur in a spatula and collected the gas ' X '. Which one among the following is correct about ' X '?2011 (Phase 1)Chemistry
  114. 114Human stomach produces acid ' X ' which helps in digestion of food. Acid ' X ' is:2011 (Phase 1)Chemistry
  115. 115When concentrated spilts on the surface, it should be immediately cleaned:2011 (Phase 1)Chemistry
  116. 116India by becoming a full-fledged member of the Financial Action Task Force:2011 (Phase 1)General Knowledge
  117. 117Consider the following declaration and identify the person who made it using the code given below: 'The time has come when badges of honour 2011 (Phase 1)History
  118. 118Identify, using the code given below, the nationalist leader who was sentenced in the words outlined below: 'the fat that in the eyes of mil2011 (Phase 1)History
  119. 119Consider the following statement: 'We believe that it is the inalienable right of the Indian people as of any other people, to have freedom 2011 (Phase 1)History
  120. 120Which one among the following led to the Greece economic crisis 2010?2011 (Phase 1)Economy
  121. 121The Clean Development Mechanism (CDM), a mechanism to reduce green-house gas emission as per Kyoto Protocol implies that:2011 (Phase 1)Chemistry
  122. 122Match List-I with List-II and select the correct answer using the code given below the Lists:2011 (Phase 1)General Knowledge
  123. 123Match List-I with List-II and select the correct answer using the code given below the Lists:2011 (Phase 1)General Knowledge
  124. 124'Milan' is? 1. an annual gathering of navies of Indian Ocean countries. 2. conducted at Chennai. 3. a joint anti terrorism exercise. 4. aime2011 (Phase 1)General Knowledge
  125. 125Consider the following pairs: 1. Pinaka : 1. Multi Barrel Rocket Launcher System 2. Nag : 2. Anti Tank Missile System 3. Lakshya : 3. Unmann2011 (Phase 1)General Knowledge
  126. 126Which one among the following is the unit raised to protect the naval assets?2011 (Phase 1)General Knowledge
  127. 127Which one among the following films won the Nargis Dutt award for best feature film on national integration in the National Film Award in th2011 (Phase 1)General Knowledge
  128. 128Consider the following statements with regard to the Renewable Energy Certificate (REC) Mechanism launched in November 2010 by the Governmen2011 (Phase 1)Economy
  129. 129Consider the following statements with regard to the Global Hunger Index: 1. India ranks within the top ten among the developing countries i2011 (Phase 1)Economy
  130. 130The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Physics
  131. 131The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Chemistry
  132. 132The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Geography
  133. 133The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Geography
  134. 134The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Geography
  135. 135The following item consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the2011 (Phase 1)Geography
  136. 136A bee-sting leaves an acid which causes pain and irritation. The injected acid is:2011 (Phase 1)Chemistry
  137. 137Iron nails are dipped into blue copper sulphate solution. After some time iron nails are:2011 (Phase 1)Chemistry
  138. 138A student by chance mixed acetone with alcohol. This mixture of acetone and alcohol can be separated by:2011 (Phase 1)Chemistry
  139. 139Silver ware turns black after a period of time due to formation of:2011 (Phase 1)Chemistry
  140. 140Which of the statements given below is/are correct. Permanent hardness of water is due to the presence of soluble: 1. chloride of calcium. 22011 (Phase 1)Chemistry
  141. 141Which of the following statements about diamond are correct? 1. It is used as a gem in jewellery because of its ability to reflect light 2. 2011 (Phase 1)Chemistry
  142. 142Which one among the following methods is not effective in removing arsenic from contaminated ground water?2011 (Phase 1)Chemistry
  143. 143Bronze is often used to make statues and medals whereas brass is used in making utensils, scientific apparatus and cartidges. Both brass and2011 (Phase 1)Chemistry
  144. 144Which of the statements about glass are correct? 1. Glass is a super-cooled liquid having infinite viscosity 2. Violet coloured glass is obt2011 (Phase 1)Chemistry
  145. 145Sandalwood tree is considered a :2011 (Phase 1)Biology
  146. 146Which one among the following statements about stomach is not correct?2011 (Phase 1)Biology
  147. 147Which one of the following organs breaks fat to produce cholesterol?2011 (Phase 1)Biology
  148. 148Consider the following statements about comets: 1. Most comets have elongated elliptical orbits that take them close to the Sun for a part o2011 (Phase 1)General Knowledge
  149. 149An individual whose blood type is B may in an emergency donate blood to a person whose blood type is:2011 (Phase 1)Biology
  150. 150Which of the following statements is/are correct? 1. In comparison to the Jupiter, planet Earth displays eclipses more frequently 2. On Mars2011 (Phase 1)Geography

Mathematics

  1. 1What is the value of the determinant ?2011 (Phase 1)Expansion of Determinants
  2. 2Consider the following statements in respect of the function 1. is increasing in 2. has no root in Which of the statements given above is/ar2011 (Phase 1)Monotonicity
  3. 3The largest value of for occurs when2011 (Phase 1)Maxima Minima
  4. 4What is equal to?2011 (Phase 1)Properties of Definite Integration
  5. 5If 5 and 7 are the roots of the equation then what is the third root?2011 (Phase 1)Expansion of Determinants
  6. 6In a GP of positive terms, any term is equal to one-third of the sum of next two terms. What is the common ratio of the GP?2011 (Phase 1)Geometric Progression
  7. 7If , then what is equal to?2011 (Phase 1)Sum and Difference & Multiple angle Formula
  8. 8If is an even function, then what is equal to?2011 (Phase 1)Properties of Definite Integration
  9. 9What is the value of for which the system of equations and has no solution?2011 (Phase 1)System of Linear Equations
  10. 10In how many ways can 6 girls be seated in 2 empty chairs?2011 (Phase 1)Permutation
  11. 11What is the value of ?2011 (Phase 1)Logarithm
  12. 12Which term of the series is -128 ?2011 (Phase 1)Geometric Progression
  13. 13What is the number of ordered pairs of non-zero positive integers such that ?2011 (Phase 1)Combination
  14. 14In the binary system of numbers let and 01110 , then in decimal system what is equal to?2011 (Phase 1)Binary to Decimal Conversion
  15. 15If then are in2011 (Phase 1)Harmonic Progression
  16. 16What is equal to? where is a constant of integration.2011 (Phase 1)Integration by Substitution
  17. 17If and are the roots of the equation , then what is the value of ?2011 (Phase 1)Relation between Roots and Coefficients
  18. 18What is the equation of the line passing through and parallel to -axis?2011 (Phase 1)Basic Forms of Straight Line
  19. 19What is the set of points satisfying the equations and ?2011 (Phase 1)Equation of Circle & its intercept
  20. 20Consider the following statements: 1. The inverse of a square matrix, if exists, is unique. 2. If and are singular matrices of order , then 2011 (Phase 1)Inverse of a Matrix
  21. 21What is the angle between the lines whose direction cosines are proportional to and respectively?2011 (Phase 1)Direction Cosines and Direction Ratios
  22. 22What is the value of for which the following function is continuous for all ?2011 (Phase 1)Continuity
  23. 23If are rational numbers, then the roots of the equation are2011 (Phase 1)Relation between Roots and Coefficients
  24. 24If and , then what is equal to?2011 (Phase 1)Questions on number of relations and sets
  25. 25What is the differential equation of all parabolas whose axes are parallel to -axis? where is a constant.2011 (Phase 1)Formation of Differential Equation
  26. 26The students of a class are offered three language (Hindi, English and French). 15 students learn all the three languages whereas 28 student2011 (Phase 1)Questions on Venn Diagram
  27. 27The students of a class are offered three language (Hindi, English and French). 15 students learn all the three languages whereas 28 student2011 (Phase 1)Questions on Venn Diagram
  28. 28The students of a class are offered three language (Hindi, English and French). 15 students learn all the three languages whereas 28 student2011 (Phase 1)Questions on Venn Diagram
  29. 29The students of a class are offered three language (Hindi, English and French). 15 students learn all the three languages whereas 28 student2011 (Phase 1)Questions on Venn Diagram
  30. 30The students of a class are offered three language (Hindi, English and French). 15 students learn all the three languages whereas 28 student2011 (Phase 1)Questions on Venn Diagram
  31. 31is a triangle right angled at . The hypotenuse is four times the perpendicular is four times the perpendicular drawn to its from the opposit2011 (Phase 1)Sine Rule and its application
  32. 32is a triangle right angled at . The hypotenuse is four times the perpendicular is four times the perpendicular drawn to its from the opposit2011 (Phase 1)Sine Rule and its application
  33. 33is a triangle right angled at . The hypotenuse is four times the perpendicular is four times the perpendicular drawn to its from the opposit2011 (Phase 1)Sine Rule and its application
  34. 34is a triangle right angled at . The hypotenuse is four times the perpendicular is four times the perpendicular drawn to its from the opposit2011 (Phase 1)Sine Rule and its application
  35. 35What is the radius of the sphere ?2011 (Phase 1)Sphere
  36. 36An experiment consists of flipping a coin and then flipping it a second time if head occurs. If a tail occurs on the first flip, then a six-2011 (Phase 1)Classical Definition of Probability
  37. 37If, in general, the value of is known, but the value of is not known, then how many values of can be calculated?2011 (Phase 1)T-Ratios of Multiple & sub multiple angles
  38. 38Consider the following: 1. 2. Which of the above is/are correct?2011 (Phase 1)Principal Value and Basics
  39. 39Consider the following statements with regard to correlation coefficient between random variables and : 1. or -1 means there is a linear rel2011 (Phase 1)Statistics
  40. 40If the values of a set are measured in cm , what will be the unit of variance?2011 (Phase 1)Measures of Dispersion
  41. 41A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of se2011 (Phase 1)Classical Definition of Probability
  42. 42For the equation where , to represent a circle, the condition will be2011 (Phase 1)General Equation of 2nd degree curve
  43. 43If and are events such that , and , then what is equal to?2011 (Phase 1)Conditional Probability and Multiplication Theorem
  44. 44Consider the following relations among the angles , made by a vectors with the coordinate axes: 1. 2. Which of the above is/are correct?2011 (Phase 1)Direction Cosines and Direction Ratios
  45. 45Which one of the following points lies on the plane2011 (Phase 1)Plane in Space
  46. 46If 3 is the root of the equation , then what is the value of ?2011 (Phase 1)Relation between Roots and Coefficients
  47. 47Two straight lines and2011 (Phase 1)Angle between Lines
  48. 48If are collinear, what is equal to?2011 (Phase 1)Point and Line
  49. 49If and then which of the following is/are correct? 1. is defined 2. is defined 3. Select the correct answer using the code given below:2011 (Phase 1)Product of Matrices
  50. 50Using the digits and 5 only once, how many numbers greater than 41000 can be formed?2011 (Phase 1)arrangement under constraint
  51. 51If an angle is divided into two parts and such that and , then what is equal to?2011 (Phase 1)Sum and Difference & Multiple angle Formula
  52. 52A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is . The angle of 2011 (Phase 1)Heights and Distances
  53. 53If are three non-collinear points, then what is equal to?2011 (Phase 1)Algebra of Vectors
  54. 54and are coplanar points and three of them lie in a straight line. What is the maximum number of triangles that can be drawn with these point2011 (Phase 1)Combination
  55. 55The vector lies in the plane of vectors and . Which one of the following is correct?2011 (Phase 1)Scalar Triple Product
  56. 56What is the projection of the vector on the vector ?2011 (Phase 1)Product of 2 vectors
  57. 57Which one of the following statements is correct?2011 (Phase 1)Basic Identities & T Ratios
  58. 58If sum of squares of the roots of the equation is , what is equal to?2011 (Phase 1)Relation between Roots and Coefficients
  59. 59If one root of the equation is reciprocal of the other root, then which one of the following is orrect?2011 (Phase 1)Relation between Roots and Coefficients
  60. 60If is the imaginary cube root of unity, then what is equal to?2011 (Phase 1)Cube Root of Unity
  61. 61What is the acute angle between the planes and ?2011 (Phase 1)Plane in Space
  62. 62What is the area bounded by the curves , and the straight line ?2011 (Phase 1)Area of Curve along axis
  63. 63What are the points of intersection of the curve with its conjugate axis?2011 (Phase 1)Equation of hyperbola
  64. 64What is the locus of a point which moves equidistant from the coordinate axes?2011 (Phase 1)Locus
  65. 65What is equal to? Where is a constant of integration.2011 (Phase 1)Integration by Parts
  66. 66Let be respectively the magnitudes of the vectors . Which one of the following is correct?2011 (Phase 1)Algebra of Vectors
  67. 67In a triangle , if , then what is equal to?2011 (Phase 1)Sine Rule and its application
  68. 68Consider the following statements in respect of the above frequency distribution: 1. The median is contained in the modal class. 2. The dist2011 (Phase 1)Median
  69. 69The following table gives the continuous frequency distribution of a continuous variable X: What is the median of the above frequency distri2011 (Phase 1)Median
  70. 70The following table gives the continuous frequency distribution of a continuous variable X: What is the mean of the above frequency distribu2011 (Phase 1)Mean
  71. 71. If the matrix is singular, then what is the solution set ?2011 (Phase 1)Expansion of Determinants
  72. 72What is the range of ?2011 (Phase 1)Maximum and Minimum Values
  73. 73What is the solution of the differential equation where is a constant.2011 (Phase 1)Variable Separable Form
  74. 74If then what is equal to?2011 (Phase 1)Conjugate, modulus and argument
  75. 75If is a unit vector and , then what is the value of ?2011 (Phase 1)Algebra of Vectors
  76. 76What is the modulus of ?2011 (Phase 1)Algebra of complex numbers
  77. 77Let be the set of men and is a relation 'is son of' defined on M. Then is2011 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  78. 78What is the locus of the point which is at a distance 8 units to the left of -axis?2011 (Phase 1)Locus
  79. 79The number 10101111 in binary system is represented in decimal system by which one of the following numbers?2011 (Phase 1)Binary to Decimal Conversion
  80. 80There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the l2011 (Phase 1)Classical Definition of Probability
  81. 81The average daily income of workers of a factory including that of the owner is ₹ 110 . However, if the income of the owner is excluded, the2011 (Phase 1)Arithmetic Progression
  82. 82If are non-empty sets such that , then what is equal to?2011 (Phase 1)Questions on number of relations and sets
  83. 83If is a natural number and is a natural number , then what is equal to?2011 (Phase 1)Questions on number of relations and sets
  84. 84If the matrix is such that , then which one of the following is correct?2011 (Phase 1)Product of Matrices
  85. 85What is the sum of the focal distances of a point of an ellipse ?2011 (Phase 1)Equation of Ellipse
  86. 86What is the degree of the following differential equation?2011 (Phase 1)Order and Degree
  87. 87What is the sum of ?2011 (Phase 1)Geometric Progression
  88. 88What does the differential equation (where is a constant) represent?2011 (Phase 1)Formation of Differential Equation
  89. 89If and such that , then what is the value of ?2011 (Phase 1)Product of Matrices
  90. 90What is the value of , if ?2011 (Phase 1)Permutation
  91. 91What is the middle term in the expansion of ?2011 (Phase 1)Terms of Binomial Expansion
  92. 92What is the sum of the roots of the equations ?2011 (Phase 1)Relation between Roots and Coefficients
  93. 93What is the total number of combinations of different things taken at a time?2011 (Phase 1)Combination
  94. 94One of the roots of the equadratic equation is positive and the other root is negative. The condition for this to happen is2011 (Phase 1)Relation between Roots and Coefficients
  95. 95If the solution of the differential equation represents a circle, then what is the value of ?2011 (Phase 1)Formation of Differential Equation
  96. 96If are in AP and , then what is the value of ?2011 (Phase 1)Cosine Rule and Projection Formula
  97. 97The points with position vectors are collinear, if the value of is2011 (Phase 1)Algebra of Vectors
  98. 98What is the sine of angle between the vectors and ?2011 (Phase 1)Product of 2 vectors
  99. 99If then what is equal to?2011 (Phase 1)T inverse T property
  100. 100What is equal to?2011 (Phase 1)Logarithm
  101. 1015 books are to be chosen from a lot of 10 books. If is the number of ways of choice when one specified book is always included and is the nu2011 (Phase 1)Combination
  102. 102Which one of the following is correct in respect of the function ?2011 (Phase 1)Differentiability
  103. 103What is the condition that one root of the equation should be double the other?2011 (Phase 1)Relation between Roots and Coefficients
  104. 104Consider the following with regard to a relation on a set of real numbers defined by if and only if : 1. 2. 3. Which of the above are correc2011 (Phase 1)Questions on Symmetric Transitive and Reflexive Properties
  105. 105The function has maximum value at . What is the value of ?2011 (Phase 1)Maxima Minima
  106. 106If then what is equal to?2011 (Phase 1)Properties of Definite Integration
  107. 107What is the equation of the line joining the origin with the point of intersection of the lines and ?2011 (Phase 1)Concurrency & Family of Lines
  108. 108If the sum of the squares of the distances of the point from the points and is , then which one of the following is correct?2011 (Phase 1)Coordinate System
  109. 109If , then what is equal to?2011 (Phase 1)Higher order derivatives
  110. 110In an examination, there are 3 multiple-choice questions and each question has 4 choices. If a student randomly selects an answer for all th2011 (Phase 1)Classical Definition of Probability
  111. 111What is the geometric mean of the data ?2011 (Phase 1)Means
  112. 112What is the cumulative frequency curve of statistical data commonly called?2011 (Phase 1)Statistics
  113. 113If and are two mutually exclusive events, then what is equal to?2011 (Phase 1)Addition and Subtraction Theorems
  114. 114If and , then what is the value of ?2011 (Phase 1)Basic Identities & T Ratios
  115. 115What is equal to?2011 (Phase 1)Algebraic and Rational Limits
  116. 116What is equal to? where is a constant of integration.2011 (Phase 1)Integration by Substitution
  117. 117Which one of the following is the unit vector perpendicular to the vector and ?2011 (Phase 1)Product of 2 vectors
  118. 118Consider the following statements in respect of the vectors 1. is parallel to 2. is parallel to 3. is parallel to Which of the statements gi2011 (Phase 1)Algebra of Vectors
  119. 119The line passes through the points and . What is the value of ?2011 (Phase 1)Basic Forms of Straight Line
  120. 120What is the solution set for the equation ?2011 (Phase 1)N degree equation

Frequently Asked Questions

1.How many questions are in the NDA 2011 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 2011 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2011.

4.How is the NDA 2011 Phase 1 paper structured?

The NDA 2011 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 2011 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 134 (50%) are easy, 131 (49%) are medium and 5 (2%) are hard. Subject wise:

  • General Ability: 97 easy, 53 medium, 0 hard
  • Mathematics: 37 easy, 78 medium, 5 hard
6.Which chapters were asked the most in the NDA 2011 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (53), General Science (49), and English (48).
  • Mathematics: Sets and Relations (10), Quadratic Equation (9), and Vector Algebra (9).
7.Where can I find the solutions for the NDA 2011 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 2011 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 2011 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.