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NDA 2018 Phase 2

Browse the complete General Ability and Mathematics question set from the NDA 2018 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 - 148 easy (55%), 116 moderate (43%) and 6 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 23% easy, 72% moderate, 5% tough; General Ability 80% easy, 20% moderate, 0% tough.

General Ability questions were entirely from General Science (52), English (49), and General Studies (49). Mathematics questions were spread across 29 chapters, with Statistics (9), Matrices (8), and Vector Algebra (8) carrying the most weight.

General Ability

  1. 1Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2018 (Phase 2)Spotting The Errors
  2. 2Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2018 (Phase 2)Spotting The Errors
  3. 3Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2018 (Phase 2)Spotting The Errors
  4. 4Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2018 (Phase 2)Spotting The Errors
  5. 5Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2018 (Phase 2)Spotting The Errors
  6. 6Select the option that is nearest in meaning to the underlined word The Industrial Revolution saw a massive rise in the population of Europe2018 (Phase 2)Synonyms
  7. 7Select the option that is nearest in meaning to the underlined word I had some deepest convictions reflected in my work.2018 (Phase 2)Synonyms
  8. 8Select the option that is nearest in meaning to the underlined word This boys is very timid .2018 (Phase 2)Synonyms
  9. 9Select the option that is nearest in meaning to the underlined word My friend is as stubborn as a mule.2018 (Phase 2)Synonyms
  10. 10Select the option that is nearest in meaning to the underlined word His behaviour was deliberately provocative .2018 (Phase 2)Synonyms
  11. 11Select the option that is opposite in meaning to the underlined word. Too many cooks spoil the broth.2018 (Phase 2)Antonyms
  12. 12Select the option that is opposite in meaning to the underlined word. He is biased against the students from cities.2018 (Phase 2)Antonyms
  13. 13Select the option that is opposite in meaning to the underlined word. It is easy to be an orthodox .2018 (Phase 2)Antonyms
  14. 14Select the option that is opposite in meaning to the underlined word. Permit me to present you with a book2018 (Phase 2)Antonyms
  15. 15Select the option that is opposite in meaning to the underlined word. None but the brave deserves the fair.2018 (Phase 2)Antonyms
  16. 16Carefully read the given passage and answer the questions that follow. Paragraph: "Now, ladies and gentleman," said the conjuror, "having sh2018 (Phase 2)Comprehension Ability
  17. 17Carefully read the given passage and answer the questions that follow. Paragraph: "Now, ladies and gentleman," said the conjuror, "having sh2018 (Phase 2)Comprehension Ability
  18. 18Carefully read the given passage and answer the questions that follow. Paragraph: "Now, ladies and gentleman," said the conjuror, "having sh2018 (Phase 2)Comprehension Ability
  19. 19Carefully read the given passage and answer the questions that follow. Paragraph: "Now, ladies and gentleman," said the conjuror, "having sh2018 (Phase 2)Comprehension Ability
  20. 20Carefully read the given passage and answer the questions that follow. Paragraph: "Now, ladies and gentleman," said the conjuror, "having sh2018 (Phase 2)Comprehension Ability
  21. 21Carefully read the given passage and answer the questions that follow. Paragraph: Magda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs2018 (Phase 2)Comprehension Ability
  22. 22Carefully read the given passage and answer the questions that follow. Paragraph: Magda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs2018 (Phase 2)Comprehension Ability
  23. 23Carefully read the given passage and answer the questions that follow. Paragraph: Magda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs2018 (Phase 2)Comprehension Ability
  24. 24Carefully read the given passage and answer the questions that follow. Paragraph: Magda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs2018 (Phase 2)Comprehension Ability
  25. 25Carefully read the given passage and answer the questions that follow. Paragraph: Magda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs2018 (Phase 2)Comprehension Ability
  26. 26Select the word you consider most appropriate to fill in the blank space. We fail to understand your reasons for _______ the college without2018 (Phase 2)Sentence Completion
  27. 27Select the word you consider most appropriate to fill in the blank space. She ________ her energy and started shouting only when she heard t2018 (Phase 2)Sentence Completion
  28. 28Select the word you consider most appropriate to fill in the blank space. The British _______ all over Africa and Asia collapsed in the firs2018 (Phase 2)Miscellaneous English
  29. 29Select the word you consider most appropriate to fill in the blank space. The football match has to be _______ because of the weather.2018 (Phase 2)Idioms and Phrases
  30. 30Select the word you consider most appropriate to fill in the blank space. If I were rich, ______ a lot.2018 (Phase 2)Sentence Improvement
  31. 31Select the word you consider most appropriate to fill in the blank space. They apologized _______ me for what happened.2018 (Phase 2)Spotting The Errors
  32. 32Select the word you consider most appropriate to fill in the blank space. If you are tired of swimming, just _______ for a while.2018 (Phase 2)Miscellaneous English
  33. 33Select the word you consider most appropriate to fill in the blank space. He had ________ spoken for two minutes when there was a commotion 2018 (Phase 2)Spotting The Errors
  34. 34Select the word you consider most appropriate to fill in the blank space. I would not commit myself _______ that course of action.2018 (Phase 2)Fillers
  35. 35Select the word you consider most appropriate to fill in the blank space. The soldiers waiting to go into battle for the first time were ful2018 (Phase 2)Fillers
  36. 36Select the options that most appropriately describe the meaning of below idioms/phrases. A red letter day}2018 (Phase 2)Idioms and Phrases
  37. 37Select the options that most appropriately describe the meaning of below idioms/phrases. Thegift of the gab2018 (Phase 2)Idioms and Phrases
  38. 38Select the options that most appropriately describe the meaning of below idioms/phrases. Walk a tightrope2018 (Phase 2)Idioms and Phrases
  39. 39Select the options that most appropriately describe the meaning of below idioms/phrases. To be in a fix2018 (Phase 2)Idioms and Phrases
  40. 40Select the options that most appropriately describe the meaning of below idioms/phrases. To fish in troubled waters2018 (Phase 2)Idioms and Phrases
  41. 41Find out the correct sequence of sentences which are labelled as P, Q, R and S. Domestic fires in Indian villages P. as the heat is disperse2018 (Phase 2)Jumbled Sentences & Paragraphs
  42. 42Find out the correct sequence of sentences which are labelled as P, Q, R and S. Bold rocks near hand P. makes a fine forest for the imaginat2018 (Phase 2)Jumbled Sentences & Paragraphs
  43. 43Find out the correct sequence of sentences which are labelled as P, Q, R and S. Newton discovered that P. due to the gravitational pull Q. o2018 (Phase 2)Jumbled Sentences & Paragraphs
  44. 44Find out the correct sequence of sentences which are labelled as P, Q, R and S. The knocking P. were still in the house Q. for some time R. 2018 (Phase 2)Jumbled Sentences & Paragraphs
  45. 45Find out the correct sequence of sentences which are labelled as P, Q, R and S. The history of mankind is P. and steady progress Q. continuo2018 (Phase 2)Jumbled Sentences & Paragraphs
  46. 46Select the word you consider most appropriate to fill in the blank space. The honeybee is a very unusual kind of insect. _____ other insects2018 (Phase 2)Fillers
  47. 47Select the word you consider most appropriate to fill in the blank space. alone, the honeybee lives as a/an _____ . These bees live2018 (Phase 2)Sentence Completion
  48. 48Select the word you consider most appropriate to fill in the blank space. together in what is known as a bee ______ . The head of the bees i2018 (Phase 2)Biology
  49. 49Select the word you consider most appropriate to fill in the blank space. queen bee; she is _____ than the rest of the bees. Her main task2018 (Phase 2)Miscellaneous English
  50. 50Select the word you consider most appropriate to fill in the blank space. is to _____ eggs.2018 (Phase 2)Fillers
  51. 51Statement I : The pitch of the sound wave depends upon its frequency. Statement II : The loudness of the sound wave depends upon its amplitu2018 (Phase 2)Physics
  52. 52Statement I : Sound wave cannot propagate in vacuum. Statement II : Sound waves are elastic waves and require a medium to propagate.2018 (Phase 2)Physics
  53. 53Statement I: The Government of India Act, 1935 introduced Dyarchy at the Centre. Statement II : The provincial autonomy was granted to the P2018 (Phase 2)History
  54. 54Statement I : Mughal Painting reached its climax during the reign of Jahangir. Statement II : Aurangzeb's Court was adorned by some of the b2018 (Phase 2)History
  55. 55Statement I: Phytoplankton produce most of the organic carbon in the ocean. Statement II : Algae are produced in the cold water biome.2018 (Phase 2)Biology
  56. 56Statement I : Geostrophic wind blows above a height of 600 metres, parallel to the isobars. Statement II : Geostrophic wind is the horizonta2018 (Phase 2)Geography
  57. 57Which one of the following groups of cellular organelles contains DNA?2018 (Phase 2)Biology
  58. 58One of the additional functions of Smooth Endoplasmic Reticulum (SER) is2018 (Phase 2)Biology
  59. 59Damage to the apical meristem of a growing young plant will affect the2018 (Phase 2)Biology
  60. 60Which of the following kingdoms has/have only unicellular organisms?2018 (Phase 2)Biology
  61. 61Which one of the following is a waterborne disease?2018 (Phase 2)Biology
  62. 62The atomic number of an element is 8 . How many electrons will it gain to form a compound with sodium?2018 (Phase 2)Chemistry
  63. 63A sample of oxygen contains two isotopes of oxygen with masses 16 u and 18 u respectively. The proportion of these isotopes in the sample is2018 (Phase 2)Chemistry
  64. 64Which one of the following is a heterogenous mixture?2018 (Phase 2)Chemistry
  65. 65What is the formula mass of anhydrous sodium carbonate? (Given that the atomic masses of sodium, carbon and oxygen are and 16 u respectively2018 (Phase 2)Chemistry
  66. 66Which one of the following is called syngas?2018 (Phase 2)Chemistry
  67. 67The frequency of ultrasound waves is2018 (Phase 2)Physics
  68. 68The magnetic field strength of a current- carrying wire at a particular distance from the axis of the wire2018 (Phase 2)Physics
  69. 69A stainless steel chamber contains Ar gas at a temperature T and pressure P . The total number of Ar atoms in the chamber is n . Now Ar gas 2018 (Phase 2)Chemistry
  70. 70Which one of the following is the correct relation between A and nm ?2018 (Phase 2)Chemistry
  71. 71The full form of LED is2018 (Phase 2)General Knowledge
  72. 72If a free electron moves through a potential difference of 1 kV , then the energy gained by the electron is given by2018 (Phase 2)Physics
  73. 73Consider the following places of India: 1. Itanagar 2. Imphal 3. Agartala 4. Aizawl Which one of the following is the correct chronological 2018 (Phase 2)Geography
  74. 74Which one of the following is known as uplands of delta region?2018 (Phase 2)Geography
  75. 75Consider the following Wildlife Sanctuaries of India: 1. Shikari Devi 2. Bhadra 3. Similipal 4. Pachmarhi Which one of the following is the 2018 (Phase 2)Geography
  76. 76Which one of the following statements about temperature is correct?2018 (Phase 2)Geography
  77. 77Which one of the following is known as a zone of sharp salinity change in the vertical section of ocean?2018 (Phase 2)Geography
  78. 78Permanent hardness of water cannot be removed by which one of the following methods?2018 (Phase 2)Chemistry
  79. 79Which one of the following reactions will give NO (nitric oxide) gas as one of the products?2018 (Phase 2)Chemistry
  80. 80Which one of the following is a tribasic acid?2018 (Phase 2)Chemistry
  81. 81Which one of the following statements is not correct?2018 (Phase 2)Chemistry
  82. 82Which one of the following is called dry ice?2018 (Phase 2)Chemistry
  83. 83The acidic semidetached food coming out of the stomach is neutralized by2018 (Phase 2)Biology
  84. 84The oxygenated blood from the lungs is received by the2018 (Phase 2)Biology
  85. 85The oxygen evolved during photosynthesis comes from splitting of2018 (Phase 2)Biology
  86. 86Which one of the following depicts the correct circuit of a reflex are?2018 (Phase 2)Biology
  87. 87In one set of chromosomes for a given plant is represented as N , in case of double fertilization, the zygote and the endosperm nucleus of a2018 (Phase 2)Biology
  88. 88Consider the following circuit: Which one of the following is the value of the resistance between points A and B in the circuit given above?2018 (Phase 2)Physics
  89. 89The absolute, zero temperature is 0 Kelvin. In unit, which one of the following is the absolute zero temperature?2018 (Phase 2)Physics
  90. 90Consider the following statement about visible light, UV light and X-rays: 1. The wavelength of visible light is more than that of Xrays. 2.2018 (Phase 2)Physics
  91. 91The time period of oscillation of a simple pendulum having length and mass off the bob is given as . If the length of the pendulum is increa2018 (Phase 2)Physics
  92. 92The connecting cable of electrical appliances like electric iron, water heater or room heater contains three insulated copper wires of three2018 (Phase 2)Physics
  93. 93The graphs between current (l) and voltage (v) for three linear resistors 1,2 and 3 are given below: If and are the resistances of these res2018 (Phase 2)Physics
  94. 94Consider the following statements about a microscope and a telescope 1. Both the eyepiece and the objective of a microscope are convex lense2018 (Phase 2)Physics
  95. 95A planet has a mass and radius . The value of acceleration due to gravity on its surface is . There is another planet 2 , whose mass and rad2018 (Phase 2)Physics
  96. 96Match List-I with List-II and select the correct answer using the code given below the lists: Code: A B C D2018 (Phase 2)Geography
  97. 97Match-list-1 with List-II and select the correct answer using the code given below the Lists: Code :2018 (Phase 2)Geography
  98. 98'Majuli', the river island, is located in which one of the following rivers?2018 (Phase 2)Geography
  99. 99Which one of the following Indian States has recorded negative growth of population as per Census 2011?2018 (Phase 2)Geography
  100. 100Which one of the following types of cloud is characterized by continuous precipitation?2018 (Phase 2)Geography
  101. 101Match List-1 with List-II and select the correct answer using the code given below the Lists: Code: A B C D2018 (Phase 2)Geography
  102. 102Which one of the following is not an agent of metamorphism?2018 (Phase 2)Geography
  103. 103The solution of which one of the following will have pH less than 7 ?2018 (Phase 2)Chemistry
  104. 104Which one of the followings an oxidation-reduction reaction?2018 (Phase 2)Chemistry
  105. 105Which one of the following is not used as fertilizer?2018 (Phase 2)Chemistry
  106. 106Which one of the following is the chemical formula of gypsum?2018 (Phase 2)Chemistry
  107. 107Which one of the following statements about the law of conservation of mass is correct?2018 (Phase 2)Chemistry
  108. 108The wavelength of X-rays is of the order of2018 (Phase 2)Physics
  109. 109Consider the following velocity and time graph: Which one of the following is the value of average acceleration from 8 s to 12 s ?2018 (Phase 2)Physics
  110. 110If the focal length of a convex lens is 50 cm , which one of the following is its power?2018 (Phase 2)Physics
  111. 111A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring 4 s to cover a distance of 100 cm2018 (Phase 2)Physics
  112. 112The coefficient of a real expansion of a material is . Which one of the following gives the value of coefficient of volume expansion of this2018 (Phase 2)Physics
  113. 113The refractive indices of two media, are denoted by and , and the velocities of light in these two media are respectively and . If is 1.5 , 2018 (Phase 2)Physics
  114. 114Which one of the following greenhouse gases is in largest concentration in the atmosphere?2018 (Phase 2)Chemistry
  115. 115Match List -I with List-II and select the correct answer using the code given below the lists: Code : A B C D2018 (Phase 2)Geography
  116. 116Match List- with List-II and select the correct answer using the code given below the lists: Code: A2018 (Phase 2)General Knowledge
  117. 117Which one of the following is the correct descending order of Indian States in terms of sex ratio as per Census 2011?2018 (Phase 2)Geography
  118. 118Steppe (temperate continental) climate is not experienced in which one of the following places?2018 (Phase 2)Geography
  119. 119Which one of the following is not a process of chemical weathering?2018 (Phase 2)Geography
  120. 120Which one of the following statements is correct for a plane mirror?2018 (Phase 2)Physics
  121. 121An object is placed in front of a convex mirror. Which one of the following statements is correct? (d)2018 (Phase 2)Physics
  122. 122A circular coil of radius having number of turns carries a steady current . The magnetic induction at the centre of the coil is 0.1 tesla. I2018 (Phase 2)Physics
  123. 123Which one among the following is not a Fundamental Right under the Constitution of India?2018 (Phase 2)Polity
  124. 124Which one of the following cropa was introduced by the Portuguese in India?2018 (Phase 2)History
  125. 125Consider the following statements about merchant guilds of South India: 1. Ayyavole merchant guild was originally established in Aihole. 2. 2018 (Phase 2)History
  126. 126Which one of the following Paris is correctly matched? Bhakti Saint : Philosophy2018 (Phase 2)History
  127. 127When did the Stamp Act Congress consisting of delegates from 9 of the 13 colonies of America meet in New York City?2018 (Phase 2)History
  128. 128Who among the following travelers was from Italy and visited Vijayanagar Kingdom in the fifteenth century?2018 (Phase 2)History
  129. 129Where did the French East India Company first establish its factory in India?2018 (Phase 2)History
  130. 130The Central Vigilance Commission was established on the recommendation of which one of the following Committees?2018 (Phase 2)Polity
  131. 131Match List-I with List-II and select the correct answer using the code given below the Lists: \( {array}{llll} & {array}{l} {List-I} \\ {(Au2018 (Phase 2)History
  132. 132Which one of the following is the Official Mascot of the FIFA World Cup, 2018?2018 (Phase 2)General Knowledge
  133. 133The Headquarters of the proposed National Sports University (as per the National Sports University Ordinance, 2018) will be set up in2018 (Phase 2)General Knowledge
  134. 134Sentosa island, which was in news recently, is located in2018 (Phase 2)General Knowledge
  135. 135India, in June 2018, asserted that any mega connectivity project must respect sovereignty and territorial integrity of the countries. The pr2018 (Phase 2)General Knowledge
  136. 136Who among the following is not a member of G7?2018 (Phase 2)General Knowledge
  137. 137Who among the following leaders started the Indian Home Rule League?2018 (Phase 2)History
  138. 138Every Judge of the Supreme Court of India is appointed by2018 (Phase 2)Polity
  139. 139The Nehru-Mahalanobis Strategy of Development was implemented for the first time by which one of the following Five-Year Plans?2018 (Phase 2)Economy
  140. 140Which one of the following is not a part of the Directive Principles of State Policy as enshrined in the Constitution of India?2018 (Phase 2)Polity
  141. 141The word socialist was inserted into the preamble to the constitution of India through which one of the following Amendment Acts?2018 (Phase 2)Polity
  142. 142The place of English East India Company settlement in Madras was known as2018 (Phase 2)History
  143. 143Which one of the following Indian States (other then Himalayan or NE States) ranked first in the Composite Water Management Index as per the2018 (Phase 2)Geography
  144. 144Who among the following is the ex officio Chairman of the North Eastern Council?2018 (Phase 2)Polity
  145. 145Which one of the following is the theme of the World Blood Donor Day, 2018?2018 (Phase 2)General Knowledge
  146. 146'Seva Bhoj Yojana', a scheme of the Government of India that seeks to reimburse Central share of CGST and IGST on Food/ Prasad/Langar/Bhanda2018 (Phase 2)General Knowledge
  147. 147Dr. Bindeshwar Pathak, who was awarded Nikkei Asia Prize, 2018 for Culture and Community, is the founder of2018 (Phase 2)General Knowledge
  148. 148Article 352 of the Constitution of India contains provisions related to2018 (Phase 2)Polity
  149. 149The Theosophical Society was led by2018 (Phase 2)History
  150. 150Which one of the following statements about Bipin Chandra Pal is correct?2018 (Phase 2)History

Mathematics

  1. 1What is the value of equal to?2018 (Phase 2)Logarithm
  2. 2If an infinite GP has the first term and the sum 5 , then which of the following is correct?2018 (Phase 2)Geometric Progression
  3. 3Consider the following expressions: 1. 2. 3. 4. 5. Which of the above are rational expressions?2018 (Phase 2)Inequalities
  4. 4A square matrix is called orthogonal if2018 (Phase 2)Types of Matrices
  5. 5If and C are subsets of a Universal set, then which one of the following is not correct?2018 (Phase 2)Questions on Venn Diagram
  6. 6Where is the complement of . Let be the number of integers lying between 2999 and 8001 which have at least two digits equal. Then x is equal2018 (Phase 2)Permutation
  7. 7The sum of the series . is equal to2018 (Phase 2)Geometric Progression
  8. 8A survey was conducted among 300 students. If was found that 125 students like to play cricket, 145 students like to play football and 90 st2018 (Phase 2)Questions on Venn Diagram
  9. 9A survey was conducted among 300 students. If was found that 125 students like to play cricket, 145 students like to play football and 90 st2018 (Phase 2)Questions on Venn Diagram
  10. 10If and are the roots of the quadratic equation , then the quadratic expression where R has2018 (Phase 2)Relation between Roots and Coefficients
  11. 11What is the coefficient of the middle term in the binomial expansion of ?2018 (Phase 2)Terms of Binomial Expansion
  12. 12For a square matrix A , which of the following properties hold? 1. 2. 3. where is a scalar Select the correct answer using the code given be2018 (Phase 2)Inverse of a Matrix
  13. 13Which one of the following factors does the expansions of the determinant contain?2018 (Phase 2)Expansion of Determinants
  14. 14What is the adjoint of the matrix2018 (Phase 2)Adjoint and its Properties
  15. 15What is the value of where ?2018 (Phase 2)nth roots of unity
  16. 16There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowl2018 (Phase 2)Combination
  17. 17What is the value of ?2018 (Phase 2)Logarithm
  18. 18If and are two invertible square matrices of same order, then what is equal to?2018 (Phase 2)Inverse of a Matrix
  19. 19If , then one of the solution of2018 (Phase 2)Expansion of Determinants
  20. 20What should be the value of so that the matrix does not have an inverse?2018 (Phase 2)Inverse of a Matrix
  21. 21The system of equation2018 (Phase 2)System of Linear Equations
  22. 22Which one of the following is correct in respect of the cube roots of unity?2018 (Phase 2)Cube Root of Unity
  23. 23If , vand (all positive) are the and terms of a GP, the determinant of the matrix is2018 (Phase 2)Geometric Progression
  24. 24Let the coefficient of the middle term of the binomial expansion of be and those of two middle terms of the binomial expansion of be and . W2018 (Phase 2)Terms of Binomial Expansion
  25. 25Let and be the subset of , defined by Which one of the following is correct?2018 (Phase 2)Questions on number of relations and sets
  26. 26Let be the term of an AP for If for some distinct positive integers m and n we have and , then what is equal to?2018 (Phase 2)Arithmetic Progression
  27. 27Suppose is such a quadrant expression that it is positive for all real . If , then for anyreal . Then for any real .2018 (Phase 2)Graph and Sign of Quadratic
  28. 28Consider the following in respect of matrices and C of same order: 1. 2. 3. Where is the transpose of the matrix A . Which of the above are 2018 (Phase 2)Basic Algebra of Matrices
  29. 29The sum of the binary numbers and is the binary number . What are the values of and ?2018 (Phase 2)Arithmetic Operations of Binary Numbers
  30. 30Let matrix B be the adjoint of a square matrix A,I be the identity matrix of same order as . If is the determinant of the matrix A , then wh2018 (Phase 2)Adjoint and its Properties
  31. 31If and , then what is the value of to the nearest tenth?2018 (Phase 2)Logarithm
  32. 32The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is2018 (Phase 2)Permutation
  33. 33What is the determinant of the matrix ?2018 (Phase 2)Expansion of Determinants
  34. 34If and are the angles of a triangle and then which one of the following is correct?2018 (Phase 2)Expansion of Determinants
  35. 35Consider the following in respect of matrices A and B of same order: 1. 2. Where I is the identity matrix and O is the null matrix. Which of2018 (Phase 2)Basic Algebra of Matrices
  36. 36What is equal to?2018 (Phase 2)Sum and Difference & Multiple angle Formula
  37. 37If and are in AP, where , then what is the value of ?2018 (Phase 2)Basic Identities & T Ratios
  38. 38If , then what is equal to?2018 (Phase 2)Sum and Difference & Multiple angle Formula
  39. 39A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is . If the height 2018 (Phase 2)Heights and Distances
  40. 40is an angle in the fourth quadrant. If satisfies the trigonometric equation . Which one of the following is a value of ?2018 (Phase 2)Solving Trigonometric Equation
  41. 41The top of a hill observed from the top and bottom of a building of height h is at angles of elevation and respectively. What is the height 2018 (Phase 2)Heights and Distances
  42. 42What is/are the solutions of the trigonometric equation , where ?2018 (Phase 2)Solving Trigonometric Equation
  43. 43If , then what is the value of ?2018 (Phase 2)Sum and Difference & Multiple angle Formula
  44. 44If and are the roots of the quadratic equation , then what is the value of ?2018 (Phase 2)Relation between Roots and Coefficients
  45. 45Consider the following values of x : 1. 8 2. -4 3. 4. Which of the above values of is/are the solutions of the equation2018 (Phase 2)Sum and difference of angles
  46. 46If the second term of a GP is 2 and the sum of its infinite term is 8 , then the GP is2018 (Phase 2)Geometric Progression
  47. 47If are in AP or GP HP, then is equal to2018 (Phase 2)Arithmetic Progression
  48. 48What is the sum of all three-digit numbers that can be formed using all the digits 3,4 and 5 , when repetition of digits is not allowed?2018 (Phase 2)Permutation
  49. 49The ration of roots of the equations and are equal. If and are respective discriminates, then what is equal to?2018 (Phase 2)Relation between Roots and Coefficients
  50. 50If , the for all real , which one of the following is correct?2018 (Phase 2)Maximum and Minimum Values
  51. 51The equation of a circle whose end points of a diameter are and is2018 (Phase 2)Equation of Circle & its intercept
  52. 52The second degree equation represents2018 (Phase 2)General Equation of 2nd degree curve
  53. 53The angle between the two lines and is given by . What equal to?2018 (Phase 2)Angle between Lines
  54. 54Consider the following statements: 1. The distance between the lines 2. The distance between the lines and is . 3. The distance between the 2018 (Phase 2)Point and Line
  55. 55What is equation of straight line pass through the point of intersection of the line and , and parallel the ?2018 (Phase 2)Concurrency & Family of Lines
  56. 56What is the distance of the point from the plane2018 (Phase 2)Plane in Space
  57. 57Coordinates of the points and R are respectively and . Let and be points on the sides and respectively such that LMNK is a parallelogram who2018 (Phase 2)Basics of point in 3 dimension
  58. 58The line is given by2018 (Phase 2)Line in Space
  59. 59Consider the following statements: 1. The angle between the planes 2. The distance between the planes Which of the above statements is/are c2018 (Phase 2)Plane in Space
  60. 60Consider the following statements: Statement I : If the line segment joining the points and subtends an angle at the origin, then . Statemen2018 (Phase 2)Coordinate System
  61. 61What is the area of the triangle with vertices ?2018 (Phase 2)Coordinate System
  62. 62If -axis touches the circle , then the normal at this point intersects the circle at the point2018 (Phase 2)Equation of Circle & its intercept
  63. 63Let holds if and only if2018 (Phase 2)Product of 2 vectors
  64. 64If , then what is equal to?2018 (Phase 2)Product of 2 vectors
  65. 65A unit vector perpendicular to each of the vectors and is2018 (Phase 2)Product of 2 vectors
  66. 66If and , then what is the value of ?2018 (Phase 2)Algebra of Vectors
  67. 67Let and be three mutually perpendicular vectors each of unit magnitud. If and , then which one of the following is correct?2018 (Phase 2)Algebra of Vectors
  68. 68What is equal to?2018 (Phase 2)Product of 2 vectors
  69. 69A spacecraft at is subjected to a force by firing a rocket. The spacecraft is subjected to a moment of magnitude2018 (Phase 2)Product of 2 vectors
  70. 70In a triangle , if taken in order, consider the following statements: 1. 2. 3. 4. How many of the above statements are correct?2018 (Phase 2)Algebra of Vectors
  71. 71Let the slope of the curve be : Then the value of in the interval is2018 (Phase 2)T inverse T property
  72. 72If defines a function of , then what is its domain?2018 (Phase 2)Domain
  73. 73Consider the function Which one of the following is correct in respect of the function?2018 (Phase 2)Continuity
  74. 74For the function , which of the following is not correct?2018 (Phase 2)Differentiability
  75. 75If the function is continuous at each point in its domain, then what is the value of ?2018 (Phase 2)Algebraic and Rational Limits
  76. 76If , then what is equal to2018 (Phase 2)Differentiability
  77. 77If , then what is equal to?2018 (Phase 2)Differentiation of Inverse Trigonometric Functions
  78. 78Which one of the following is correct in respect of the function2018 (Phase 2)Monotonicity
  79. 79What is equal to?2018 (Phase 2)Algebraic and Rational Limits
  80. 80Afunction is defined by the equation where . What is the range of the function?2018 (Phase 2)Range
  81. 81What is equal to, where[.] is the greatest integer function?2018 (Phase 2)Properties of Definite Integration
  82. 82What is equal to?2018 (Phase 2)Properties of Definite Integration
  83. 83What is equal to? Where c is the constant o integration.2018 (Phase 2)Integration by Substitution
  84. 84What is equal to? Where c is the constant of integration.2018 (Phase 2)Integration by Substitution
  85. 85What is equal to?2018 (Phase 2)Properties of Definite Integration
  86. 86In which one of the following intervals is the function decreasing?2018 (Phase 2)Monotonicity
  87. 87The differential equation of the family of curves , where are arbitrary constants, is2018 (Phase 2)Formation of Differential Equation
  88. 88The equation of the curve passing through the point which satisfies is2018 (Phase 2)Formation of Differential Equation
  89. 89What is the order of the differential equation whose solution is , where and d are arbitrary constants?2018 (Phase 2)Order and Degree
  90. 90What is the solution of the differential equation ?2018 (Phase 2)Variable Separable Form
  91. 91If and , then what is equal to?2018 (Phase 2)Differentiation of composite functions
  92. 92If , then which one of the following is correct?2018 (Phase 2)Higher order derivatives
  93. 93A flower in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is th2018 (Phase 2)Maxima Minima
  94. 94What is the minimum value of , where ?2018 (Phase 2)Maxima Minima
  95. 95If , then what is the value of at ?2018 (Phase 2)Differentiation of composite functions
  96. 96What is equal to, where ?2018 (Phase 2)Differentiation of composite functions
  97. 97What is equal to?2018 (Phase 2)Integration by Substitution
  98. 98Let and , where and . Then what is equal to?2018 (Phase 2)Differentiability
  99. 99What is the solution of the differential equation2018 (Phase 2)Homogeneous DE
  100. 100What is to?2018 (Phase 2)Algebraic and Rational Limits
  101. 101If two dice are thrown and at least one of the dice shows 5, then the probability that the sum is 10 or more is2018 (Phase 2)Conditional Probability and Multiplication Theorem
  102. 102The correlation coefficient computed from a set of 30 observations is 0.8 . Then the percentage of variation not explained by linear regress2018 (Phase 2)Statistics
  103. 103The average age of a combined group of men and women is 25 years. If the average age of the group of men is 26 years and the of the group of2018 (Phase 2)Ratio and Proportion
  104. 104If is the harmonic mean of and , and is the arithmetic mean of and , then which of the following is/are correct? 1. 2. Select the correct an2018 (Phase 2)Sum and Difference & Multiple angle Formula
  105. 105Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If and , then is equal to2018 (Phase 2)Addition and Subtraction Theorems
  106. 106In a bolt factory, machines manufacture bolts that are respectively and of the factory's total output. The machines X, Y, Z respectively pro2018 (Phase 2)Baye's Theorem
  107. 1078 coins are tossed simultaneously. The probability of getting at least 6 heads is2018 (Phase 2)Bernoulli Trial and Binomial Distribution
  108. 108Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. 2018 (Phase 2)Total Probability
  109. 109Consider the following statements: 1. If 10 is added to each entry on a list then the average increase by 10 . 2. If 10 is added to each ent2018 (Phase 2)Mean
  110. 110The variance of 25 observations is 4 . If 2 is added to each observation, then the new variance of the resulting observations is2018 (Phase 2)Measures of Dispersion
  111. 111If n) are the values of two variable X and Y with geometric mean P and Q respectively, then the geometric mean of is2018 (Phase 2)Means
  112. 112If the probability of simultaneous occurrence of two events and is p and the probability that exactly one of , B occurs is q , then which of2018 (Phase 2)Addition and Subtraction Theorems
  113. 113If the regression coefficient of on is -6 , and the correlation coefficient between X and Y is , then the regression coefficient of on would2018 (Phase 2)Statistics
  114. 114The set of bivariate observation are such that all the values are distinct and all the observations fall on a straight line with non-zero sl2018 (Phase 2)Statistics
  115. 115Two integers and are chosen with replacement from the set , 10). The probability that is2018 (Phase 2)Classical Definition of Probability
  116. 116An analysis of monthly wages paid to the workers in two firms A and B belonging to the same industry the following result: The average of mo2018 (Phase 2)Mean
  117. 117Three dice having digits and 6 on their faces are marked I, II and III and rolled. Let and represent the number on die die and die -III resp2018 (Phase 2)Combination
  118. 118Which one of the following can be obtained from an ogive?2018 (Phase 2)Median
  119. 119In any discrete series (when all values are not same) if represents mean deviation about mean and y represents standard deviation, then whic2018 (Phase 2)Relation Between Variance and Mean Deviation
  120. 120In which one of the following cases would you except to get a negative correlation?2018 (Phase 2)Statistics

Frequently Asked Questions

1.How many questions are in the NDA 2018 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 2018 Phase 1 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2018.

4.How is the NDA 2018 Phase 2 paper structured?

The NDA 2018 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 2018 Phase 2 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 148 (55%) are easy, 116 (43%) are medium and 6 (2%) are hard. Subject wise:

  • General Ability: 120 easy, 30 medium, 0 hard
  • Mathematics: 28 easy, 86 medium, 6 hard
6.Which chapters were asked the most in the NDA 2018 Phase 2 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (52), English (49), and General Studies (49).
  • Mathematics: Statistics (9), Matrices (8), and Vector Algebra (8).
7.Where can I find the solutions for the NDA 2018 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 2018 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 2018 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.