Jump to a section

NDA 2010 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2010 Phase 2 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 - 119 easy (44%), 151 moderate (56%) 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 29% easy, 71% moderate, 0% tough; General Ability 56% easy, 44% moderate, 0% tough.

General Ability questions were entirely from English (50), General Science (50), and General Studies (50). Mathematics questions were spread across 30 chapters, with Trigonometric Ratios & Identities (12), Statistics (10), and Vector Algebra (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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)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 . R2010 (Phase 2)Spotting The Errors
  9. 9(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . R2010 (Phase 2)Spotting The Errors
  10. 10(i) In this section a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled , and . R2010 (Phase 2)Spotting The Errors
  11. 11Select the antonym of the word (occuring in the sentence in capital letters) as per the context. What the critic said about this new book wa2010 (Phase 2)Antonyms
  12. 12Select the antonym of the word (occuring in the sentence in capital letters) as per the context. The issue raised in the forum can be IGNORE2010 (Phase 2)Antonyms
  13. 13Select the antonym of the word (occuring in the sentence in capital letters) as per the context. After swallowing the frog has become LETHAR2010 (Phase 2)Antonyms
  14. 14Select the antonym of the word (occuring in the sentence in capital letters) as per the context. For the first time I saw him speaking RUDEL2010 (Phase 2)Antonyms
  15. 15Select the antonym of the word (occuring in the sentence in capital letters) as per the context. Dust storms and polluted rivers have made i2010 (Phase 2)Antonyms
  16. 16Select the antonym of the word (occuring in the sentence in capital letters) as per the context. Only hard work can ENRICH our country.2010 (Phase 2)Antonyms
  17. 17Read a passage and then answer the questions based on it. An old man with steel-rimmed spectacles and very dusty clothes sat by the side of 2010 (Phase 2)Comprehension Ability
  18. 18Read a passage and then answer the questions based on it. An old man with steel-rimmed spectacles and very dusty clothes sat by the side of 2010 (Phase 2)Comprehension Ability
  19. 19Read a passage and then answer the questions based on it. An old man with steel-rimmed spectacles and very dusty clothes sat by the side of 2010 (Phase 2)Comprehension Ability
  20. 20Read a passage and then answer the questions based on it. An old man with steel-rimmed spectacles and very dusty clothes sat by the side of 2010 (Phase 2)Comprehension Ability
  21. 21Read a passage and then answer the questions based on it. When vegetation sprouts in the desert, it is a good sign but when the ice in the A2010 (Phase 2)Comprehension Ability
  22. 22Read a passage and then answer the questions based on it. When vegetation sprouts in the desert, it is a good sign but when the ice in the A2010 (Phase 2)Comprehension Ability
  23. 23Read a passage and then answer the questions based on it. When vegetation sprouts in the desert, it is a good sign but when the ice in the A2010 (Phase 2)Comprehension Ability
  24. 24Read a passage and then answer the questions based on it. When vegetation sprouts in the desert, it is a good sign but when the ice in the A2010 (Phase 2)Comprehension Ability
  25. 25Read a passage and then answer the questions based on it. It was a very cold evening and so few people were seen out on the streets. I did n2010 (Phase 2)Comprehension Ability
  26. 26Read a passage and then answer the questions based on it. It was a very cold evening and so few people were seen out on the streets. I did n2010 (Phase 2)Comprehension Ability
  27. 27Read a passage and then answer the questions based on it. It was a very cold evening and so few people were seen out on the streets. I did n2010 (Phase 2)Comprehension Ability
  28. 28Read a passage and then answer the questions based on it. It was a very cold evening and so few people were seen out on the streets. I did n2010 (Phase 2)Comprehension Ability
  29. 29Fill in the blanks with appropriate word or group of words. Your present statement does not ________ what you said last week.2010 (Phase 2)Sentence Completion
  30. 30Fill in the blanks with appropriate word or group of words. I had a vague ________ that the lady originally belonged to Scotland.2010 (Phase 2)Fillers
  31. 31Fill in the blanks with appropriate word or group of words. The prisoner showed no ________ for his crimes.2010 (Phase 2)Fillers
  32. 32Fill in the blanks with appropriate word or group of words. It is inconceivable that in many schools children are subjected to physical ____2010 (Phase 2)Fillers
  33. 33Fill in the blanks with appropriate word or group of words. We have not yet fully realised the ________ consequences of the war.2010 (Phase 2)Fillers
  34. 34Fill in the blanks with appropriate word or group of words. Happiness consists in being ________ what we have.2010 (Phase 2)Fillers
  35. 35Fill in the blanks with appropriate word or group of words. His rude behaviour is a _________ his organization.2010 (Phase 2)Idioms and Phrases
  36. 36Fill in the blanks with appropriate word or group of words. No child is _______ understanding. One has to wait and provide proper guidance.2010 (Phase 2)Fillers
  37. 37Fill in the blanks with appropriate word or group of words. I am fully ________ the problems facing the industry.2010 (Phase 2)Fillers
  38. 38Fill in the blanks with appropriate word or group of words. The Romans were ________ science.2010 (Phase 2)Fillers
  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 to2010 (Phase 2)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 to2010 (Phase 2)Jumbled Sentences & Paragraphs
  41. 41In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2010 (Phase 2)Jumbled Sentences & Paragraphs
  42. 42In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2010 (Phase 2)Jumbled Sentences & Paragraphs
  43. 43In the following items, some parts of the sentence have been jumbled up. You are required to rearrange these parts which are labelled and to2010 (Phase 2)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 and to2010 (Phase 2)Sentence Improvement
  45. 45Select the synonym of the word (occurring in the sentence in capital letters) as per the context. His descriptions are VIVID.2010 (Phase 2)Synonyms
  46. 46Select the synonym of the word (occurring in the sentence in capital letters) as per the context. Friends have always DEPLORED my unsociable2010 (Phase 2)Synonyms
  47. 47Select the synonym of the word (occurring in the sentence in capital letters) as per the context. Despite his enormous wealth, the businessm2010 (Phase 2)Synonyms
  48. 48Select the synonym of the word (occurring in the sentence in capital letters) as per the context. He was ENGROSSED in writing a story.2010 (Phase 2)Synonyms
  49. 49Select the synonym of the word (occurring in the sentence in capital letters) as per the context. People fear him because of his VINDICTIVE 2010 (Phase 2)Synonyms
  50. 50Select the synonym of the word (occurring in the sentence in capital letters) as per the context. He always has a very PRAGMATIC approach to2010 (Phase 2)Synonyms
  51. 51Sound moves with higher velocity if:2010 (Phase 2)Physics
  52. 52Which one of the following is the correct angle between the incident and reflected rays when a ray of light incident normally on a plane mir2010 (Phase 2)Physics
  53. 53Which one of the following four glass lenses is a diverging lens?2010 (Phase 2)Physics
  54. 54Magnetism of a bar magnet can be destroyed if it is : 1. kept in the magnetic meridian. 2. placed in a direction opposite that of the Earth'2010 (Phase 2)Physics
  55. 55Capacity of a parallel plate condenser can be doubled by: 1. doubling the areas of the plates 2. doubling the distance of separation between2010 (Phase 2)Physics
  56. 56If two conducting spheres are separately charged and then brought in contact:2010 (Phase 2)Physics
  57. 57Two pieces of metallic wire having equal length and equal volume placed in air have different resistances. The two wires must:2010 (Phase 2)Physics
  58. 58If a heater coil is cut into two equal parts and only one part is used in the heater, the heat generated will be :2010 (Phase 2)Physics
  59. 59The direction of magnetic field at a point due to an infinitely long wire carrying current is:2010 (Phase 2)Physics
  60. 60A hollow metal ball carrying an electric charge produces no electric field at points:2010 (Phase 2)Physics
  61. 61A man is sitting on a rotating stool with his arms outstretched. If suddenly he folds his arm the angular velocity of the man would:2010 (Phase 2)Physics
  62. 62For a particle revolving in a circular path, the acceleration of the particle is:2010 (Phase 2)Physics
  63. 63A circus performer of mass M is walking along a wire as shown in the figure given above. The tension T in the wire is: ( acceleration due to2010 (Phase 2)Physics
  64. 64A heavy ball is suspended as shown in the figure given above. A quick jerk on the lower string will break that string but a slow pull on the2010 (Phase 2)Physics
  65. 65The visible light has a wavelength range from about 380 nm (violet) to 780 nm (red). If an excited object emits light with wavelength of 15 2010 (Phase 2)Physics
  66. 66Microwave oven consumes less power due to:2010 (Phase 2)Physics
  67. 67The sun is constantly radiating energy and yet its surface temperature is nearly constant at . The constancy of solar temperature is due to 2010 (Phase 2)Physics
  68. 68An annular solar eclipse occurred during January 2010 with duration of annularity around 12 minutes. It is predicted that such long annular 2010 (Phase 2)Physics
  69. 69Internet communication uses optical fibre cables because of:2010 (Phase 2)Physics
  70. 70Metal pipes used to carry water sometimes burst in the winter. This is because:2010 (Phase 2)Physics
  71. 71Arrange the following Military Training Institutes in India in terms of their geographical location from North to South: 1. Indian Military 2010 (Phase 2)General Knowledge
  72. 72Which among the following statements characterized El Nino? 1. It occurs at irregular intervals 2. It carries warmer water 3. It carries les2010 (Phase 2)Geography
  73. 73Consider the following statements regarding Andaman and Nicobar Islands: 1. It enjoys equatorial climate 2. This is the only place in India 2010 (Phase 2)Geography
  74. 74Which of the following has/have been declared as national waterways in India? 1. The Allahabad-Haldia stretch of river Ganga 2. The Sadiya-D2010 (Phase 2)Geography
  75. 75Consider the following statements: 1. In a cyclone, the direction of wind flow is counter clockwise in the northern hemisphere 2. The tropic2010 (Phase 2)Geography
  76. 76Which among the following statements about the North Atlantic Drift is/are correct? 1. It keeps the west coast of Northern Europe ice free 22010 (Phase 2)Geography
  77. 77Which one among the following explains the earthquakes of the eastern margins of Asia?2010 (Phase 2)Geography
  78. 78Unlike other Meridians International Date Line is drawn zigzag in order to :2010 (Phase 2)Geography
  79. 79The time difference between the two cities, city N ) and city B ( ) would be:2010 (Phase 2)Geography
  80. 80Consider the following statements: 1. The tropical year is shorter than the sidereal year 2. The solar day is longer than the sidereal day W2010 (Phase 2)Geography
  81. 81Consider the following statements about rocks: 1. Shale becomes Slate through metamorphosis 2. Shale is converted to Slate when it is subjec2010 (Phase 2)Geography
  82. 82Which of the following statements is/are correct? 1. Mumbai receives more rainfall than Pune because it is located at the windward side of W2010 (Phase 2)Geography
  83. 83Which of the following statements regarding south-west monsoon in India is/are correct? 1. Monsoon reaches the Malabar coast first 2. Rajast2010 (Phase 2)Geography
  84. 84Which one of the following is the correct sequence of the four stages of water movement in a hydrological cycle?2010 (Phase 2)Geography
  85. 85Match List I with List II and select the correct answer using the code given below the Lists:2010 (Phase 2)Geography
  86. 86Which among the following statements about Nirupam Sen is/are correct? 1. In the year 2009 he was appointed as Special Senior Adviser to the2010 (Phase 2)General Knowledge
  87. 87Consider the following statement: I can only thank a genius director like Guru Dutt for giving me an opportunity to work in his films and tr2010 (Phase 2)General Knowledge
  88. 88Consider the following statements about General V. K. Singh: 1. He is the first trained commando to take over as the Chief of the Army Staff2010 (Phase 2)General Knowledge
  89. 89Consider the following passage and identify the form of dance theatre referred thereto using the code given below: This is a uniquely tradit2010 (Phase 2)General Knowledge
  90. 90In a rare case, a record number of about 20000 employees of the Government of Kerala retired on a single day (on 31 March 2010). Which among2010 (Phase 2)General Knowledge
  91. 91Car manufacturer Maruti has stopped selling its popular brand Maruti 800 in some major cities of India from 1st of April 2010. Which among t2010 (Phase 2)Economy
  92. 92In a major eco-friendly step towards renewable energy generation in India, in June 2010 seaweed sourced ethanol (ethyl alcohol), a biofuel a2010 (Phase 2)General Knowledge
  93. 93Which of the following aspects with regard to the T-20 world cup (Men's) cricket and T-20 world cup (Women's) cricket tournaments held in th2010 (Phase 2)General Knowledge
  94. 94Which amongst the following statements is/are correct about the INS Arihant? 1. It is India's first nuclear submarine 2. It is India's first2010 (Phase 2)General Knowledge
  95. 95Which among the following statements about the ZaranjDelaram road is/are correct? 1. It was constructed by Border Road Organization in Afgha2010 (Phase 2)General Knowledge
  96. 96Match List I with List II, List III and List IV and select the correct answer using the code given below:2010 (Phase 2)Biology
  97. 97Match List I with List II, List III and List IV and select the correct answer using the code given below:2010 (Phase 2)Biology
  98. 98Match List I with List II, List III and List IV and select the correct answer using the code given below:2010 (Phase 2)Biology
  99. 99Match List I with List II, List III and List IV and select the correct answer using the code given below:2010 (Phase 2)Biology
  100. 100Consider the following statements regarding the recent global outbreak of 'Swine Flu' : 1. The agent of infection is not well identified 2. 2010 (Phase 2)Biology
  101. 101Which among the following are the properties of good paint? 1. The paint should be opaque and have high covering power 2. The solid particle2010 (Phase 2)Chemistry
  102. 102By which one among the following mechanism, soap removes dirt (soil) from cloth?2010 (Phase 2)Chemistry
  103. 103Which one among the following statements is not correct about graphite?2010 (Phase 2)Chemistry
  104. 104Which one among the following is not a property of salt?2010 (Phase 2)Chemistry
  105. 105Which among the following statements with regard to pH scale is/are correct? 1. It is a logarithmic scale 2. The scale is limited to because2010 (Phase 2)Chemistry
  106. 106An oxidizing agent is a substance which:2010 (Phase 2)Chemistry
  107. 107Neutral water with pH about 7 becomes slightly acidic when aerated. This is because:2010 (Phase 2)Chemistry
  108. 108Which one of the following statements is not correct?2010 (Phase 2)Chemistry
  109. 109Consider the following statements with regard to the properties of water: 1. Water is a good solvent for ionic compound but poor solvent for2010 (Phase 2)Chemistry
  110. 110Calcium carbonate is naturally available as limestone and can also be synthesized from quick lime. It is seen that the composition of the el2010 (Phase 2)Chemistry
  111. 111When aqueous solutions of two salts are mixed, the third salt formed may appear as a solid precipitates or a clear solution depending upon t2010 (Phase 2)Chemistry
  112. 112A mixture containing and is taken for separating the constituents. The suitable steps required for this are:2010 (Phase 2)Chemistry
  113. 113Iodized salt is a:2010 (Phase 2)Chemistry
  114. 114Which one among the following is a chemical process?2010 (Phase 2)Chemistry
  115. 115Which one among the following statements regarding the properties of mixtures and compounds is not correct?2010 (Phase 2)Chemistry
  116. 116Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown above represent?2010 (Phase 2)Physics
  117. 117A body is at rest on the surface of the earth. Which one among the following statements is correct regarding this?2010 (Phase 2)Physics
  118. 118A pendulum beats faster than a standard pendulum. In order to bring it to the standard beat, the length of the pendulum is to be:2010 (Phase 2)Physics
  119. 119Two identical blocks of ice, A and B , float in water as shown in the figure given above. Which one among the following statements in this r2010 (Phase 2)Physics
  120. 120When a ship floats on water:2010 (Phase 2)Physics
  121. 121Consider the following statements relating to Gandhian strategy of Satyagraha: 1. Under the Gandhian strategy, which may be described as Str2010 (Phase 2)History
  122. 122Rajmohan Gandhi's book 'A Tale of Two Revolts' (2009) deals with the:2010 (Phase 2)History
  123. 123Consider the following statements relating to Jawaharlal Nehru's attitude towards science and technology: 1. Nehru was convinced that scienc2010 (Phase 2)History
  124. 124"No Taxation without Representation" was the popular slogan of:2010 (Phase 2)History
  125. 125Which one of the following pairs is not correctly matched?2010 (Phase 2)Polity
  126. 126Which among the following statements with regard to Raja Rammohan Roy are correct? 1. He started the Atmiya Sabha 2. He wrote the Gift of Mo2010 (Phase 2)History
  127. 127Which one among the following was not a demand of the early congress (1885-1905)?2010 (Phase 2)History
  128. 128These items are based on the passage given below: The myth is that the Indian National Congress was started by A.O. Hume and others under th2010 (Phase 2)History
  129. 129These items are based on the passage given below: The myth is that the Indian National Congress was started by A.O. Hume and others under th2010 (Phase 2)History
  130. 130These items are based on the passage given below: The myth is that the Indian National Congress was started by A.O. Hume and others under th2010 (Phase 2)History
  131. 131Match List I with List II and select the correct answer using the code given below the lists:2010 (Phase 2)Geography
  132. 132Consider the following statements: 1. In India, the largest concentration of roads is found in the northern plains 2. The ratio of surfaced 2010 (Phase 2)Geography
  133. 133Which one of the following does not characterize the Himalayas?2010 (Phase 2)Geography
  134. 134Which among the following statements provides the best evidence that a river is flowing through a rift valley?2010 (Phase 2)Geography
  135. 135Match List I with List II and select the correct answer using the code given below the lists:2010 (Phase 2)Geography
  136. 136When dried raisins are put in plain water, they swell up. If put again in brine solution, they shrivel up. This phenomenon indicates the pro2010 (Phase 2)Biology
  137. 137Consider the following items 1. Proteins, Carbohydrates, and Fats 2. Vitamins 3. Minerals 4. Water Which of the above are considered as the 2010 (Phase 2)Chemistry
  138. 138These items consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the answer2010 (Phase 2)Biology
  139. 139These items consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the answer2010 (Phase 2)Biology
  140. 140These items consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the answer2010 (Phase 2)Biology
  141. 141These items consist of two statements, statement I and statement II. You are to examine these two statements carefully and select the answer2010 (Phase 2)Polity
  142. 142The Legislative Council in a state in India can be created or abolished by the:2010 (Phase 2)Polity
  143. 143The Government Bill means a bill introduced by a:2010 (Phase 2)Polity
  144. 144The next item is based on the table given below: Match List I with List II, List III and List IV and select the correct answer using the cod2010 (Phase 2)History
  145. 145The next item is based on the table given below: Match List I with List II, List III and List IV and select the correct answer using the cod2010 (Phase 2)History
  146. 146The next item is based on the table given below: Match List I with List II, List III and List IV and select the correct answer using the cod2010 (Phase 2)History
  147. 147The next item is based on the table given below: Match List I with List II, List III and List IV and select the correct answer using the cod2010 (Phase 2)History
  148. 148Right to information of India is a:2010 (Phase 2)Polity
  149. 149Which among the following statements are correct with regard to the Portuguese in India? 1. They had the monopoly over the Eastern trade in 2010 (Phase 2)History
  150. 150150. Which among the following statements with respect to the Comptroller and Auditor General of India is/are correct? 1. The procedure and 2010 (Phase 2)Polity

Mathematics

  1. 1Consider the following data: What is the variability in the wages of the workers in Factory-A?2010 (Phase 2)Measures of Dispersion
  2. 2Let . Let be the subsets of . Let be the set of all numbers which are perfect squares, be the set of all numbers which are multiples of 5 an2010 (Phase 2)Questions on Venn Diagram
  3. 3A lot of 4 white and 4 red balls is randomly divided into two halves. What is the probability that there will be 2 red and 2 white balls in 2010 (Phase 2)Classical Definition of Probability
  4. 4The distributions and with total number of observations 36 and 64 , and mean 4 and 3 respectively are combined. What is the mean of the resu2010 (Phase 2)Mean
  5. 5Consider the following data: What is the regression equation of on ?2010 (Phase 2)Statistics
  6. 6What is value of2010 (Phase 2)Algebraic and Rational Limits
  7. 7The frequency distribution of life of 90 TV tubes whose median life is 17 months is as follows: What is the lower limit of the median class?2010 (Phase 2)Median
  8. 8The frequency distribution of life of 90 TV tubes whose median life is 17 months is as follows: What is the missing frequency y ?2010 (Phase 2)Median
  9. 9The frequency distribution of life of 90 TV tubes whose median life is 17 months is as follows: What is the cumulative frequency of the moda2010 (Phase 2)Median
  10. 10The frequency distribution of life of 90 TV tubes whose median life is 17 months is as follows: If the area of a triangle with vertices , an2010 (Phase 2)Coordinate System
  11. 11Consider the following statements: If and are independent events, then 1. and are independent 2. and are independent 3. and are independent 2010 (Phase 2)Independent Events
  12. 12If and , then what is the derivative of with respect to at ?2010 (Phase 2)Parametric differentiation
  13. 13What is the value of where ?2010 (Phase 2)Power of iota
  14. 14What is the value of where is the cube root of unity?2010 (Phase 2)De Moivres Theorem
  15. 15If the cardinality of a set is 4 and that of a set is 3 , then what is the cardinality of the set ?2010 (Phase 2)Questions on number of relations and sets
  16. 16From top of a lighthouse 120 m above the sea, the angle of depression of a boat is . What is the distance of the boat from the lighthouse?2010 (Phase 2)Heights and Distances
  17. 17What is the value of when ?2010 (Phase 2)Basic Identities & T Ratios
  18. 18What is the value of ?2010 (Phase 2)T-Ratios of Multiple & sub multiple angles
  19. 19What is equal to? where is a constant of integration.2010 (Phase 2)Integration by Substitution
  20. 20What is the area bounded by the curve and the line ?2010 (Phase 2)Area bounded by two curves
  21. 21What is the number of terms in the expansion of ?2010 (Phase 2)Multinomial Theorem
  22. 22What is the number of signals that can be sent by 6 flags of different colours taking one or more at a time?2010 (Phase 2)Permutation
  23. 23In how many ways can a committee consisting of 3 men and 2 women be formed from 7 men and 5 women?2010 (Phase 2)Combination
  24. 24then depends on2010 (Phase 2)Scalar Triple Product
  25. 25What is the probability of having 53 Sundays or 53 Mondays in a leap year ?2010 (Phase 2)Addition and Subtraction Theorems
  26. 26Three digital numbers are formed using the digits 0,2 , . A number is chosen at random out of these numbers. What is the probability that th2010 (Phase 2)Classical Definition of Probability
  27. 27What is the mean deviation of the data , 9,4 ?2010 (Phase 2)Measures of Dispersion
  28. 28A set of values has standard deviation . What is the standard deviation of values , ?2010 (Phase 2)Measures of Dispersion
  29. 29The two lines of regression are and , and variance of series is 9 . What is the standard deviation of series?2010 (Phase 2)Measures of Dispersion
  30. 30The standard deviation of some consecutive integers is found to be 2 . Which of the following statements best describes the nature of the co2010 (Phase 2)Statistics
  31. 31What is the interval over which the function is increasing?2010 (Phase 2)Monotonicity
  32. 32What is equal to? where is a constant of integration.2010 (Phase 2)Integration by Parts
  33. 33What is the degree of the differential equation2010 (Phase 2)Order and Degree
  34. 34What is the general solution of2010 (Phase 2)Variable Separable Form
  35. 35What is the value of2010 (Phase 2)Definite Integration by Substitution
  36. 36If and are two increasing functions such that is defined, then which one of the following is correct?2010 (Phase 2)Composite Function
  37. 37What is the value of2010 (Phase 2)Definite Integration by Parts
  38. 38Which one of the following is the differential equation to family of circles having centre at the origin?2010 (Phase 2)Formation of Differential Equation
  39. 39What is the area under the curve above the axis and between the lines and ?2010 (Phase 2)Area of Curve along axis
  40. 40What does the solution of the differential equation2010 (Phase 2)Variable Separable Form
  41. 41What is the coefficient of in the expansion of2010 (Phase 2)Terms of Binomial Expansion
  42. 42What is the derivative of with respect to ?2010 (Phase 2)Differentiation of composite functions
  43. 43Consider the following statements: 1. is continuous at 2. is differentiable at Which of the statements given above is/are correct?2010 (Phase 2)Differentiability
  44. 44What is equal to?2010 (Phase 2)Arithmetic Operations of Binary Numbers
  45. 45What is equal to?2010 (Phase 2)Basic Identities & T Ratios
  46. 46If and , then what are the values of for which ?2010 (Phase 2)Composite Function
  47. 47What does the differential equation ( is any constant) represent?2010 (Phase 2)Formation of Differential Equation
  48. 48What is the area of the region bounded by the curve and the -axis)?2010 (Phase 2)Area of Curve along axis
  49. 49What is equal to?2010 (Phase 2)Exponential and logarithmic limits
  50. 50If , then what is at equal to?2010 (Phase 2)Differentiation of implicit functions
  51. 51For a point of inflection of , which one of the following is correct?2010 (Phase 2)Monotonicity
  52. 52If the function is continuous at , then what is equal to?2010 (Phase 2)Continuity
  53. 53If and , then what is equal to?2010 (Phase 2)Higher order derivatives
  54. 54What is the value of for which the function has an extremum at ?2010 (Phase 2)Maxima Minima
  55. 55What is the value of the integral2010 (Phase 2)Properties of Definite Integration
  56. 56A particular solution of a differential equation represents2010 (Phase 2)Applications of DE
  57. 57At how many points is the function discontinuous?2010 (Phase 2)Continuity
  58. 58What is equal to? where is a constant of integration.2010 (Phase 2)Integration by Substitution
  59. 59If at any instant , for a sphere, denotes the radius, denotes the surface area and denotes the volume, then what is equal to?2010 (Phase 2)Rate Measure Error and Approximation
  60. 60then what is equal to?2010 (Phase 2)Inverse of a Function
  61. 61The two planes and , where , have2010 (Phase 2)Plane in Space
  62. 62A point moves such that the difference of its distances from two given points and is constant. What is the locus of the point ?2010 (Phase 2)General Equation of 2nd degree curve
  63. 63What is the distance of the origin from the plane ?2010 (Phase 2)Plane in Space
  64. 64is a parallelogram, where , and the area of the parallelogram is . What is the value of ?2010 (Phase 2)Product of 2 vectors
  65. 65What is the vector equally inclined to the vectors and ?2010 (Phase 2)Algebra of Vectors
  66. 66is a quadrilateral. Forces and act along its sides. What is their resultant?2010 (Phase 2)Algebra of Vectors
  67. 67Under which of the following conditions does a general second-degree equation represent a circle?2010 (Phase 2)General Equation of 2nd degree curve
  68. 68What is the area of a triangle whose vertices are at and ?2010 (Phase 2)Product of 2 vectors
  69. 69What is the value of such that the scalar product of the vector with the unit vector parallel to the sum of the vectors and is unity?2010 (Phase 2)Algebra of Vectors
  70. 70If the latus rectum of an ellipse is equal to half its minor axis, then what is its eccentricity?2010 (Phase 2)Equation of Ellipse
  71. 71If , then what is the number of elements in2010 (Phase 2)Questions on number of relations and sets
  72. 72What is the slope of the line perpendicular to the line ?2010 (Phase 2)Angle between Lines
  73. 73is a triangle in which and . Which one of the following is correct?2010 (Phase 2)Cosine Rule and Projection Formula
  74. 74If the AM and GM between two numbers are in the ratio , then what is the ratio between the two numbers?2010 (Phase 2)Means
  75. 75Consider the function such that Which one of the following is correct?2010 (Phase 2)Types of Function (Mapping)
  76. 76One of the angles of a triangle is radian and the other is . What is the third angle in radian measure?2010 (Phase 2)Measurement of Angles
  77. 77Two poles are 10 m and 20 m high. The line joining their tops makes an angle of with the horizontal. What is the approximate distance betwee2010 (Phase 2)Heights and Distances
  78. 78What is the value of2010 (Phase 2)Sum and difference of angles
  79. 79What is equal to?2010 (Phase 2)Basic Identities & T Ratios
  80. 80If and are positive angles such that , then what is equal to2010 (Phase 2)Sum and Difference & Multiple angle Formula
  81. 81What is the value of2010 (Phase 2)Sum and Difference & Multiple angle Formula
  82. 82If where , then what is equal to?2010 (Phase 2)Sum and Difference & Multiple angle Formula
  83. 83If , where , then which one of the following is correct?2010 (Phase 2)Basic Identities & T Ratios
  84. 84If and , then how many values can have depending on the actual values of A and B ?2010 (Phase 2)Sum and Difference & Multiple angle Formula
  85. 85What is the value of ?2010 (Phase 2)Sum and Difference & Multiple angle Formula
  86. 86What is the equation to the straight line joining the origin to the point of intersection of the lines2010 (Phase 2)Concurrency & Family of Lines
  87. 87What is the equation to circle which touches both the axes and has centre on the line ?2010 (Phase 2)Equation of Circle & its intercept
  88. 88If the position vector of a point with respect to origin is and that of a point is , then what is the position vector of the bisector of the2010 (Phase 2)Algebra of Vectors
  89. 89If the straight lines and intersect at the point then what is the value of ?2010 (Phase 2)Concurrency & Family of Lines
  90. 90Let and be distinct non-negative numbers. If the vectors lie on a plane, then which one of the following is correct?2010 (Phase 2)Algebra of Vectors
  91. 91If and are two disjoint sets, then which one of the following is correct?2010 (Phase 2)Questions on Venn Diagram
  92. 92Consider the following statements in respect of a square matrix and its transpose . 1. is always symmetric. 2. is always anti-symmetric. Whi2010 (Phase 2)Symmetric & Skew Symmetric Matrices
  93. 93If and are the roots of the equation , then what is the value of ?2010 (Phase 2)Relation between Roots and Coefficients
  94. 94What is the value of ?2010 (Phase 2)De Moivres Theorem
  95. 95If a matrix is such that Then what is equal to?2010 (Phase 2)Inverse of a Matrix
  96. 96What is the sum of all the coefficients in the expansion of ?2010 (Phase 2)Properties of Binomial Coefficients
  97. 97Let denote the set of natural numbers and and . Which one of the following is correct?2010 (Phase 2)Questions on number of relations and sets
  98. 98Which of the following are the two roots of the equation2010 (Phase 2)N degree equation
  99. 99What is the coefficient of in the expansion of ?2010 (Phase 2)Terms of Binomial Expansion
  100. 100If and are the roots of the equation , then which of the following are the roots of the equation ?2010 (Phase 2)Cube Root of Unity
  101. 101A square is drawn by joining mid-point of the sides of a square. Another square is drawn inside the second square in the same way and the pr2010 (Phase 2)Geometric Progression
  102. 102Let and be matrices of order . If , then which of the following can be concluded?2010 (Phase 2)Inverse of a Matrix
  103. 103The sum of an infinite geometric progression is 6 . If the sum of the first two terms is , then what is the first term?2010 (Phase 2)Geometric Progression
  104. 104If is a square matrix, then what is adj equal to ?2010 (Phase 2)Adjoint and its Properties
  105. 105Which one of the following is correct?2010 (Phase 2)Basic Identities & T Ratios
  106. 106The relation on a set is2010 (Phase 2)Questions on Symmetric Transitive and Reflexive Properties
  107. 107If is not an invertible matrix, then what is the value of ?2010 (Phase 2)Inverse of a Matrix
  108. 108What is the number of words that can be formed from the letters of the word 'UNIVERSAL', the vowels remaining always together?2010 (Phase 2)Permutation
  109. 109The arithmetic mean of two numbers exceeds their geometric mean by 2 and the geometric mean exceeds their harmonic mean by 1.6 . What are th2010 (Phase 2)Means
  110. 110What is the conjugate of ?2010 (Phase 2)Conjugate, modulus and argument
  111. 111If the equations and have real roots, then what is the value of ?2010 (Phase 2)Relation between Roots and Coefficients
  112. 112What is equal to?2010 (Phase 2)De Moivres Theorem
  113. 113If then which one of the following is not correct?2010 (Phase 2)Product of Matrices
  114. 114If , then what is the value of ?2010 (Phase 2)Logarithm
  115. 115If is a complex cube root of unity, then what is equal to?2010 (Phase 2)Cube Root of Unity
  116. 116If the roots of the equation are equal, then which one of the following is correct?2010 (Phase 2)Relation between Roots and Coefficients
  117. 117What is the maximum number of straight lines that can be drawn with any four points in a plane such that each line contains at least two of 2010 (Phase 2)Combination
  118. 118then what is - iy equal to?2010 (Phase 2)Expansion of Determinants
  119. 119If , where is a square matrix of order 3 , then what is equal to ?2010 (Phase 2)Adjoint and its Properties
  120. 120What is the binary number equivalent of the decimal number 32.25?2010 (Phase 2)Decimal to Binary Conversion

Frequently Asked Questions

1.How many questions are in the NDA 2010 Phase 2 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 1 paper for the same year?

The NDA 2010 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2010.

4.How is the NDA 2010 Phase 2 paper structured?

The NDA 2010 Phase 2 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 2010 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 119 (44%) are easy, 151 (56%) are medium and 0 (0%) are hard. Subject wise:

  • General Ability: 84 easy, 66 medium, 0 hard
  • Mathematics: 35 easy, 85 medium, 0 hard
6.Which chapters were asked the most in the NDA 2010 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: English (50), General Science (50), and General Studies (50).
  • Mathematics: Trigonometric Ratios & Identities (12), Statistics (10), and Vector Algebra (8).
7.Where can I find the solutions for the NDA 2010 Phase 2 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 2 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 2 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.