Jump to a section

NDA 2021 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2021 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 - 179 easy (66%), 90 moderate (33%) and 1 tough (0%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Mathematics 35% easy, 64% moderate, 1% tough; General Ability 91% easy, 9% moderate, 0% tough.

General Ability questions were entirely from General Studies (51), General Science (50), and English (49). Mathematics questions were spread across 31 chapters, with Statistics (12), Trigonometric Ratios & Identities (11), and Determinants (8) carrying the most weight.

General Ability

  1. 1Select the option that is nearest in meaning to the underlined word. Her smile was contagious.2021 (Phase 1)Synonyms
  2. 2Select the option that is nearest in meaning to the underlined word. Her dynamic nature impressed everyone.2021 (Phase 1)Synonyms
  3. 3Select the option that is nearest in meaning to the underlined word. She was lamenting her destiny.2021 (Phase 1)Synonyms
  4. 4Select the option that is nearest in meaning to the underlined word. Under his leadership the company grew in an organic manner.2021 (Phase 1)Synonyms
  5. 5Select the option that is nearest in meaning to the underlined word. His charm lies in his oratory.2021 (Phase 1)Synonyms
  6. 6Select the option that is nearest in meaning to the underlined word. She is a patron of art and culture.2021 (Phase 1)Synonyms
  7. 7Select the option that is nearest in meaning to the underlined word. Arrogance is a hallmark of his nature.2021 (Phase 1)Synonyms
  8. 8Select the option that is nearest in meaning to the underlined word. She undertook a reconnaissance of the entire issue.2021 (Phase 1)Synonyms
  9. 9Select the option that is nearest in meaning to the underlined word. My daughter is my replica.2021 (Phase 1)Synonyms
  10. 10Select the option that is nearest in meaning to the underlined word. The sardonic nature of her stories made her stand out among the contemp2021 (Phase 1)Synonyms
  11. 11Select the option that is opposite in meaning to the underlined word. He found her extremely attractive and charming.2021 (Phase 1)Antonyms
  12. 12Select the option that is opposite in meaning to the underlined word. The sky is boundless.2021 (Phase 1)Antonyms
  13. 13Select the option that is opposite in meaning to the underlined word. The sky is clear today.2021 (Phase 1)Antonyms
  14. 14Select the option that is opposite in meaning to the underlined word. I have a fascination for deep waters.2021 (Phase 1)Antonyms
  15. 15Select the option that is opposite in meaning to the underlined word. My boss has been too generous.2021 (Phase 1)Antonyms
  16. 16Select the option that is opposite in meaning to the underlined word. Spring is a time of plenty.2021 (Phase 1)Antonyms
  17. 17Select the option that is opposite in meaning to the underlined word. He is an industrious workman.2021 (Phase 1)Antonyms
  18. 18Select the option that is opposite in meaning to the underlined word. Plants grow in abundance here.2021 (Phase 1)Antonyms
  19. 19Select the option that is opposite in meaning to the underlined word. She rarely comes here.2021 (Phase 1)Antonyms
  20. 20Select the option that is opposite in meaning to the underlined word. She is a rather crooked woman.2021 (Phase 1)Antonyms
  21. 21Choose the most appropriate meanings from among the options. Overstep the mark2021 (Phase 1)Idioms and Phrases
  22. 22Choose the most appropriate meanings from among the options. Palsy-walsy friends2021 (Phase 1)Idioms and Phrases
  23. 23Choose the most appropriate meanings from among the options. Open a Pandora's box2021 (Phase 1)Idioms and Phrases
  24. 24Choose the most appropriate meanings from among the options. Pull your socks up2021 (Phase 1)Idioms and Phrases
  25. 25Choose the most appropriate meanings from among the options. To get under somebody's skin2021 (Phase 1)Idioms and Phrases
  26. 26Choose the most appropriate meanings from among the options. Turn topsy-turvy2021 (Phase 1)Idioms and Phrases
  27. 27Choose the most appropriate meanings from among the options. A clarion call2021 (Phase 1)Idioms and Phrases
  28. 28Choose the most appropriate meanings from among the options. Fire in the belly2021 (Phase 1)Idioms and Phrases
  29. 29Choose the most appropriate meanings from among the options. A hunky-dory situation2021 (Phase 1)Idioms and Phrases
  30. 30Give somebody a leg up2021 (Phase 1)Idioms and Phrases
  31. 31Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  32. 32Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  33. 33Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  34. 34Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  35. 35Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  36. 36Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  37. 37Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  38. 38Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  39. 39Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  40. 40Read this sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The alphabet number2021 (Phase 1)Spotting The Errors
  41. 41Select the word you consider most appropriate to fill in the blank space. There was a time when West Germany was a distinct ___2021 (Phase 1)Fillers
  42. 42Select the word you consider most appropriate to fill in the blank space. I was ___ with the film; I had expected it to be better.2021 (Phase 1)Sentence Completion
  43. 43Select the word you consider most appropriate to fill in the blank space. It was a ___ experience. Everybody was shocked.2021 (Phase 1)Fillers
  44. 44Select the word you consider most appropriate to fill in the blank space. Elephants ___ when they perceive danger.2021 (Phase 1)Miscellaneous English
  45. 45Select the word you consider most appropriate to fill in the blank space. The first film on Tagore was such a success that now they are goin2021 (Phase 1)Sentence Completion
  46. 46Select the word you consider most appropriate to fill in the blank space. The United Nations had ___ 2020 as the International Year of Plant2021 (Phase 1)General Knowledge
  47. 47Select the word you consider most appropriate to fill in the blank space. My brother is ___ punctual, but he is late today.2021 (Phase 1)Fillers
  48. 48Select the word you consider most appropriate to fill in the blank space. My son is very ___ ; he trusts everyone.2021 (Phase 1)Fillers
  49. 49Select the word you consider most appropriate to fill in the blank space. Mahatma Gandhi was a lover of humanity and a ___ believer in the g2021 (Phase 1)Fillers
  50. 50Select the word you consider most appropriate to fill in the blank space. I wish I ___ her before we met.2021 (Phase 1)Sentence Improvement
  51. 51Consider the following statements about Light year : 1. Light year is a unit for measurement of very large distances. 2. Light year is a uni2021 (Phase 1)Physics
  52. 52Which one of the following regarding density of water at atmospheric pressure is correct?2021 (Phase 1)Physics
  53. 53Which of the following pairs of physical phenomenon and the discoverer is/are correctly matched? 1. James Chadwick: Photoelectric effect 2. 2021 (Phase 1)Physics
  54. 54LED (a semi-conductor device) is an abbreviation that stands for2021 (Phase 1)Physics
  55. 55The statement "friction force is a contact force while magnetic force is a non-contact force" is2021 (Phase 1)Physics
  56. 56Which one of the following is the chemical formula of Hypobromous acid?2021 (Phase 1)Chemistry
  57. 57The composition of gases in exosphere is2021 (Phase 1)Geography
  58. 58Which one of the following is not used as a raw material in the manufacture of glass?2021 (Phase 1)Chemistry
  59. 59In electrolytic refining of copper, the electrolyte is a solution of2021 (Phase 1)Chemistry
  60. 60Solder is an alloy of2021 (Phase 1)Chemistry
  61. 61Which one of the following statements about dihydrogen is correct?2021 (Phase 1)Chemistry
  62. 62Which of the following sets of elements has the same valency?2021 (Phase 1)Chemistry
  63. 63Which one of the following is the lowest possible temperature?2021 (Phase 1)Physics
  64. 64Numerically two thermometers, one in Fahrenheit scale and another in Celsius scale shall read same at2021 (Phase 1)Physics
  65. 65The image we see in plane mirror is2021 (Phase 1)Physics
  66. 66Which one of the following colours may be obtained by combining green and red colours?2021 (Phase 1)Physics
  67. 67Which of the following are the primary colours of light?2021 (Phase 1)Physics
  68. 68According to the New Cartesian Sign Convention, which one of the following is correct in respect of the formula , where symbols have their u2021 (Phase 1)Physics
  69. 69Movement of materials to different parts of cytoplasm and nucleus is generally carried out by2021 (Phase 1)Biology
  70. 70In mitochondria, ATP synthesizing chemical reactions take place in the2021 (Phase 1)Biology
  71. 71Squamous epithelial cells are found in the inner lining of2021 (Phase 1)Biology
  72. 72Transformation of meristematic cells into specific permanent tissues occurs by the process of2021 (Phase 1)Biology
  73. 73The gaseous product of a process in plants is a requirement for another vital process that releases energy. Given below are four combination2021 (Phase 1)Biology
  74. 74In a dicot pot herb, vaseline/vegetable oil was applied on the upper surface of one leaf (Experimental leaf 1) and on the lower surface of a2021 (Phase 1)Biology
  75. 75Which one of the following statements is not correct for light rays ?2021 (Phase 1)Physics
  76. 76A glass prism splits white light into different colours. This phenomenon is called dispersion of light by prism. Which one of the following 2021 (Phase 1)Physics
  77. 77A current of 1.0 A is drawn by a filament of an electric bulb for 10 minutes. The amount of electric charge that flows through the circuit i2021 (Phase 1)Physics
  78. 78Which one of the following formulas does not represent electrical power?2021 (Phase 1)Physics
  79. 79The sound created in a big hall persists because of the repeated reflections. The phenomenon is called2021 (Phase 1)Physics
  80. 80When light is scattered by a molecule and the frequency of the scattered light is changed, this phenomenon is called2021 (Phase 1)Physics
  81. 81Which one of the following statements about the cleansing action of soap is not true?2021 (Phase 1)Chemistry
  82. 82Hydrogenation of vegetable oils using nickel catalyst is an example of2021 (Phase 1)Chemistry
  83. 83Which one of the following materials is not an allotrope of carbon?2021 (Phase 1)Chemistry
  84. 84Which one of the following reactions does not result in the evolution of hydrogen gas ?2021 (Phase 1)Chemistry
  85. 85Which one of the following acids is predominantly found in tomatoes?2021 (Phase 1)Chemistry
  86. 86Which one of the following conclusions could not be derived from Rutherford's -particle scattering experiment?2021 (Phase 1)Chemistry
  87. 87Reaction of quick lime with water to produce slaked lime is an example of2021 (Phase 1)Chemistry
  88. 88Which one of the following is not a bio-mass energy source?2021 (Phase 1)Chemistry
  89. 89Twinkling of stars is due to2021 (Phase 1)Physics
  90. 90Which one of the following cannot be the unit of frequency of a sound wave?2021 (Phase 1)Physics
  91. 91'Beats' is a phenomenon that occurs when frequencies of two harmonic waves are2021 (Phase 1)Physics
  92. 92Light waves are incident on an air-glass boundary. Some of the light waves are reflected and some are refracted in the glass. Which one of t2021 (Phase 1)Physics
  93. 93Which one of the following statements is true for a simple harmonic oscillator?2021 (Phase 1)Physics
  94. 94During seed germination, the part of the embryo which grows into root is2021 (Phase 1)Biology
  95. 95In a typical flower, germinating pollen grains pass through several parts of the gynoecium before they reach the ovule. A list of the parts 2021 (Phase 1)Biology
  96. 96If human blood is placed in a detergent solution, what will happen to the RBC?2021 (Phase 1)Biology
  97. 97The major source of vitamins and minerals for vegetarians is2021 (Phase 1)Biology
  98. 98Ifa ray of light enters from a rarer medium to a denser medium at zero angle of incidence, it would2021 (Phase 1)Physics
  99. 99Mirage is an illustration of2021 (Phase 1)Physics
  100. 100Common salt is not used as a raw material for preparation of which one of the following compounds ?2021 (Phase 1)Chemistry
  101. 101Which one of the following Harappan sites was a specialised centre for making shell objects?2021 (Phase 1)History
  102. 102Which one of the following was not a part of the dhamma of King Ashoka ?2021 (Phase 1)History
  103. 103Which of the following statements about Saguna bhakti traditions is/are correct? 1. Saguna bhakti traditions focus on the worship of specifi2021 (Phase 1)History
  104. 104At which one of the following places was a Shiva temple not constructed under the patronage of the Chola rulers?2021 (Phase 1)History
  105. 105Which of the following statements about the Deccan Riots Commission is/are correct ? 1. The Commission did not hold enquiries in the distric2021 (Phase 1)History
  106. 106Which one of the following is the correct meaning of ziyarat?2021 (Phase 1)History
  107. 107Keppel Island is completely bleached mainly due to the expansion of2021 (Phase 1)Biology
  108. 108Which one of the following rivers is not a tributary of river Brahmaputra?2021 (Phase 1)Geography
  109. 109Which one of the following is not a minor plate ?2021 (Phase 1)Geography
  110. 110Advantage(s) of tectonic activity in Iceland include(s) 1. Source of natural geothermal energy 2. Creation of new land 3. Attraction of tour2021 (Phase 1)Geography
  111. 111The process whereby certain minerals absorb water, expand and change is called as2021 (Phase 1)Geography
  112. 112Which one of the following is the longest Latitude?2021 (Phase 1)Geography
  113. 113If it is 12:00 Noon in India, on which meridian will it be 7:00 am of the same day?2021 (Phase 1)Geography
  114. 114Who among the following was considered to be the preceptor of Mirabai?2021 (Phase 1)History
  115. 115Consider the following statements about the Mahanavami Dibba: 1. It was the name of a giant box of sweets distributed at the Mahanavami fest2021 (Phase 1)History
  116. 116Which one of the following statements about the Ain-iAkbari is not correct?2021 (Phase 1)History
  117. 117Swami Dayanand Saraswati I. 1. was opposed to the worship of idols of Gods and Goddesses. 2. regarded the Vedas as infallible. 3. had met an2021 (Phase 1)History
  118. 118Consider the following statements : 1. Muhammadan Anglo-Oriental College was founded at Aligarh by Sayyid Ahmad Khan. 2. Sayyid Ahmad Khan w2021 (Phase 1)History
  119. 119Basket-of-eggs topography is related to2021 (Phase 1)Geography
  120. 120Which one of the following planets has the highest density?2021 (Phase 1)Geography
  121. 121Point of Origin of Earthquake Wave is known as2021 (Phase 1)Geography
  122. 122The maximum depth of Lithosphere is found in the2021 (Phase 1)Geography
  123. 123A large body of magmatic material that cools in the deeper depth of the Earth's crust and develops in the form of large domes is known2021 (Phase 1)Geography
  124. 124Which one of the following Oil Refineries is not located in Assam ?2021 (Phase 1)Geography
  125. 125Where and when did Mahatma Gandhi make his first public appearance in India on coming back from South Africa after two decades ?2021 (Phase 1)History
  126. 126When and where was the demand for "Purna Swaraj" or complete independence made by the Indian National Congress ?2021 (Phase 1)History
  127. 127Which one of the following provides for the complete equality of men and women in India?2021 (Phase 1)Polity
  128. 128Which of the following statements about the nonpermanent members of the Security Council of the United Nations is/are correct? 1. Their tota2021 (Phase 1)Polity
  129. 129At which of the following was the American Declaration of Independence adopted on 4 July, 1776 ?2021 (Phase 1)History
  130. 130Who among the following was the head of the Government that was overthrown by the Bolsheviks in the 1917 Revolution?2021 (Phase 1)History
  131. 131Which one of the following is not a form of condensation?2021 (Phase 1)Geography
  132. 132Which one of the following clouds is a rain-bearing cloud?2021 (Phase 1)Geography
  133. 133In which one of the following countries is intensive subsistence agriculture not predominantly practised?2021 (Phase 1)Geography
  134. 134The Headquarters of South-Eastern Railway is located at2021 (Phase 1)General Knowledge
  135. 135Bharatmala Pariyojana is related to2021 (Phase 1)Economy
  136. 136The natural vegetation which covers the maximum geographical areas of India is2021 (Phase 1)Geography
  137. 137River Beas, flowing from Himachal and Punjab, joins the river2021 (Phase 1)Geography
  138. 138With regard to the Constitution of India, which one of the following statements is not correct?2021 (Phase 1)Polity
  139. 139Which one of the following is not a power of the Speaker of the Lok Sabha?2021 (Phase 1)Polity
  140. 140Which one of the following is included in Article 51A (Part IV A) of the Constitution of India?2021 (Phase 1)Polity
  141. 141As per the data upto November, 2020, released by the Union Finance Ministry, which one of the following countries ranks 1 in terms of ODI (O2021 (Phase 1)Economy
  142. 142'Exercise Desert Knight -21 ' is a bilateral air exercise between the Indian Air Force and the Air Force of which one of the following count2021 (Phase 1)General Knowledge
  143. 143Tableau of which one of the following States/Union Territory was adjudged best in the Republic Day Parade, 2021 ?2021 (Phase 1)General Knowledge
  144. 144In the recently concluded elections in December 2020, Faustin-Archange Touadéra has won a second term in office as President of one of the f2021 (Phase 1)General Knowledge
  145. 145Which one of the following statements is not correct in respect of the 'Legion of Merit' award?2021 (Phase 1)General Knowledge
  146. 146Which one of the following statements is most appropriate about 'Exercise Kavach'?2021 (Phase 1)General Knowledge
  147. 147Recently a state of emergency has been declared in which one of the following countries ?2021 (Phase 1)General Knowledge
  148. 148Which one of the following teams is the winner of the Syed Mushtaq Ali Trophy, 2021 ?2021 (Phase 1)General Knowledge
  149. 149Which country has replaced Maldives to host the 2023 Indian Ocean Island Games?2021 (Phase 1)General Knowledge
  150. 150Identify the correct reason, out of the following, about Claire Polosak for being in the news:2021 (Phase 1)General Knowledge

Mathematics

  1. 1The smallest positive integer for which where , is2021 (Phase 1)De Moivres Theorem
  2. 2The value of , satisfying the equation , where , is2021 (Phase 1)Basic
  3. 3If is the value of the determinant then what is the value of the following determinant? or or 12021 (Phase 1)Expansion of Determinants
  4. 4If are the coefficients in the expansion of , then what is the value of ?2021 (Phase 1)Properties of Binomial Coefficients
  5. 5If and , then what is the value of the following determinant?2021 (Phase 1)Expansion of Determinants
  6. 6The number of integer values of , for which the equation has a solution, is2021 (Phase 1)Basic
  7. 7If are in GP, then what is the value of the following determinant?2021 (Phase 1)Expansion of Determinants
  8. 8If the roots of the quadratic equation are real, then2021 (Phase 1)Relation between Roots and Coefficients
  9. 9If !, then what is the value of the following?2021 (Phase 1)Logarithm
  10. 10If , where , then what is the modulus of ?2021 (Phase 1)Conjugate, modulus and argument
  11. 11If and are two matrices such that is of order , then which one of the following is correct?2021 (Phase 1)Product of Matrices
  12. 12How many matrices of different orders are possible with elements comprising all prime numbers less than 30 ?2021 (Phase 1)Formation and Basic of Matrix
  13. 13Let where and are any four different prime numbers less than 20 . What is the maximum value of the determinant?2021 (Phase 1)Expansion of Determinants
  14. 14If and are square matrices of order 2 such that , then which one of the following is correct?2021 (Phase 1)Product of Matrices
  15. 15What is equal to?2021 (Phase 1)Basic Identities & T Ratios
  16. 1616. If and is in the second quadrant, then what is the value of ?2021 (Phase 1)Basic Identities & T Ratios
  17. 17What is the value of the following?2021 (Phase 1)Basic Identities & T Ratios
  18. 18If the determinant then what is equal to?2021 (Phase 1)Expansion of Determinants
  19. 19What is the value of the following? ________2021 (Phase 1)Basic Identities & T Ratios
  20. 20then what is equal to?2021 (Phase 1)Expansion of Determinants
  21. 21The equation has2021 (Phase 1)Sum and difference of angles
  22. 22What is the value of the following?2021 (Phase 1)Basic Identities & T Ratios
  23. 23A chord subtends an angle at the centre of a unit circle. What is the length of the chord?2021 (Phase 1)line and circle
  24. 24What is equal to?2021 (Phase 1)Basic Identities & T Ratios
  25. 25What is equal to?2021 (Phase 1)Basic Identities & T Ratios
  26. 26What is the interior angle of a regular octagon of side length 2 cm ?2021 (Phase 1)Coordinate System
  27. 27If , then what is the value of ?2021 (Phase 1)Basic Identities & T Ratios
  28. 28A ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the fl2021 (Phase 1)Heights and Distances
  29. 29The shadow of a tower is found to be metre longer, when the angle of elevation of the sun changes from to . If the height of the tower is , 2021 (Phase 1)Heights and Distances
  30. 30If , then what is the value of ?2021 (Phase 1)Sum and Difference & Multiple angle Formula
  31. 31holds, when2021 (Phase 1)T inverse T property
  32. 32If , then what is equal to?2021 (Phase 1)Basic Identities & T Ratios
  33. 33The sides of a triangle are and . What is the sum of the acute angles of the triangle?2021 (Phase 1)Cosine Rule and Projection Formula
  34. 34What is the area of the triangle with sides and angle ?2021 (Phase 1)Napiers Analogy, Area of Triangle & Half angle Formulae
  35. 35Consider the following statements : 1. and are equivalent sets. 2. and are equal sets. Which of the above statements is/are correct?2021 (Phase 1)Questions on number of relations and sets
  36. 36Consider the following statements : 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 element2021 (Phase 1)Questions on number of relations and sets
  37. 37Let be a relation defined as if and only if , where . How many elements of the form are there in ?2021 (Phase 1)Questions on number of relations and sets
  38. 38Consider the following statements : 1. A function , defined by , is oneone as well as onto. 2. A function , defined by , is oneone but not o2021 (Phase 1)Types of Function (Mapping)
  39. 39Consider the following in respect of a complex number : 1. 2. Which of the above is/are correct?2021 (Phase 1)Conjugate, modulus and argument
  40. 40Consider the following statements in respect of an arbitrary complex number : 1. The difference of and its conjugate is an imaginary number.2021 (Phase 1)Conjugate, modulus and argument
  41. 41What is the modulus of the complex number , where and ?2021 (Phase 1)Conjugate, modulus and argument
  42. 42If and are the roots of the equation , then which one of the following is correct?2021 (Phase 1)Relation between Roots and Coefficients
  43. 43If one root of is reciprocal of the other, then what is the value of ?2021 (Phase 1)Relation between Roots and Coefficients
  44. 44In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?2021 (Phase 1)Combination
  45. 45What is the coefficient of the middle term in the expansion of ?2021 (Phase 1)Terms of Binomial Expansion
  46. 46What is equal to?2021 (Phase 1)Properties of Binomial Coefficients
  47. 47What is the sum of the coefficients of first and last terms in the expansion of , where is a natural number?2021 (Phase 1)Terms of Binomial Expansion
  48. 48If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, then what is t2021 (Phase 1)Arithmetic Progression
  49. 49Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is also a GP.2021 (Phase 1)Geometric Progression
  50. 50How many 5-digit prime numbers can be formed using the digits if the repetition of digits is not allowed?2021 (Phase 1)Permutation
  51. 51If , then what is equal to?2021 (Phase 1)Composite Function
  52. 52If are in AP, then which one of the following is correct?2021 (Phase 1)Arithmetic Progression
  53. 53The third term of a GP is 3 . What is the product of its first five terms?2021 (Phase 1)Geometric Progression
  54. 54The element in the row and the column of a determinant of third order is equal to . What is the value of the determinant?2021 (Phase 1)Expansion of Determinants
  55. 55With the numbers , all the possible determinants with these four different elements are constructed. What is the sum of the values of all su2021 (Phase 1)Expansion of Determinants
  56. 56What is the radius of the circle ?2021 (Phase 1)Equation of Circle & its intercept
  57. 57A parallelogram has three consecutive vertices , and . The fourth vertex is2021 (Phase 1)Coordinate System
  58. 58If the lines and are perpendicular, then which one of the following is correct?2021 (Phase 1)Angle between Lines
  59. 59If and are in AP , then the straight line will always pass through a fixed point. The fixed point is2021 (Phase 1)Basic Forms of Straight Line
  60. 60If the image of the point by a line mirror is 2), then what is the equation of the line mirror?2021 (Phase 1)Point and Line
  61. 61Consider the following statements in respect of the points and : 1. The points lie on a straight line. 2. The points always lie in the first2021 (Phase 1)Point and Line
  62. 62What is the acute angle between the lines and ?2021 (Phase 1)Angle between Lines
  63. 63The point of intersection of diagonals of a square is at the origin and one of its vertices is at . What is the equation of the diagonal ?2021 (Phase 1)Basic Forms of Straight Line
  64. 64If any point on a hyperbola is , then what is the eccentricity of the hyperbola?2021 (Phase 1)Equation of hyperbola
  65. 65Consider the following with regard to eccentricity of a conic section : 1. for circle 2. for parabola 3. for ellipse Which of the above are 2021 (Phase 1)Equation of Ellipse
  66. 66What is the angle between the two lines having direction ratios and ?2021 (Phase 1)Direction Cosines and Direction Ratios
  67. 67If are the direction cosines of the line , then what is equal to?2021 (Phase 1)Direction Cosines and Direction Ratios
  68. 68What is the projection of the line segment joining and on -axis?2021 (Phase 1)Basics of point in 3 dimension
  69. 69What is the number of possible values of for which the line joining the points and also passes through the point ?2021 (Phase 1)Basics of point in 3 dimension
  70. 70The foot of the perpendicular drawn from the origin to the plane is2021 (Phase 1)Plane in Space
  71. 71A vector is equally inclined to both and axes. If the magnitude of the vector is 2 units, then what are the values of and respectively?2021 (Phase 1)Algebra of Vectors
  72. 72Consider the following statements in respect of a vector , where : 1. is perpendicular to . 2. is perpendicular to . Which of the above stat2021 (Phase 1)Algebra of Vectors
  73. 73If and are two vectors such that , then which one of the following is correct?2021 (Phase 1)Product of 2 vectors
  74. 74If and are coplanar, then what is . equal to?2021 (Phase 1)Scalar Triple Product
  75. 75Consider the following statements : 1. The cross product of two unit vectors is always a unit vector. 2. The dot product of two unit vectors2021 (Phase 1)Algebra of Vectors
  76. 76If then what is the value of ?2021 (Phase 1)Algebraic and Rational Limits
  77. 77A particle starts from origin with a velocity (in ) given by the equation . The time (in second) taken by the particle to traverse a distanc2021 (Phase 1)Variable Separable Form
  78. 78What is equal to?2021 (Phase 1)Properties of Definite Integration
  79. 79What is equal to?2021 (Phase 1)Algebraic and Rational Limits
  80. 80If then what is equal to?2021 (Phase 1)Properties of Definite Integration
  81. 81What is the area bounded by and the -axis?2021 (Phase 1)Area of Curve along axis
  82. 82The curve has the maximum slope at2021 (Phase 1)Maxima Minima
  83. 83A 24 cm long wire is bent to form a triangle with one of the angles as . What is the altitude of the triangle having the greatest possible a2021 (Phase 1)Maxima Minima
  84. 84If , then which one of the following is correct?2021 (Phase 1)Differentiability
  85. 85What is equal to ?2021 (Phase 1)Integration by Substitution
  86. 86What is equal to ?2021 (Phase 1)Integration by Substitution
  87. 87If and , then what is the maximum value of ?2021 (Phase 1)Range of Quadratic Function
  88. 88What is the derivative of with respect to at ?2021 (Phase 1)Differentiation of composite functions
  89. 89If and , then what is at equal to?2021 (Phase 1)Parametric differentiation
  90. 90What is the maximum value of2021 (Phase 1)Maximum and Minimum Values
  91. 91What is the derivative of with respect to ?2021 (Phase 1)Differentiation of composite functions
  92. 92If a differentiable function satisfies then what is equal to?2021 (Phase 1)Existance of Limit
  93. 93If the function is continuous, then what is the value of ?2021 (Phase 1)Continuity
  94. 94Consider the following statements in respect of the function : 1. increases in the interval . 2. decreases in the interval . Which of the ab2021 (Phase 1)Monotonicity
  95. 95What is the domain of the function ?2021 (Phase 1)Domain
  96. 96If the general solution of a differential equation is , where is an arbitrary constant, then what is the order of the differential equation?2021 (Phase 1)Order and Degree
  97. 97What is the degree of the following differential equation?2021 (Phase 1)Order and Degree
  98. 98Which one of the following differential equations has the general solution ?2021 (Phase 1)Formation of Differential Equation
  99. 99What is the solution of the following differential equation?2021 (Phase 1)Variable Separable Form
  100. 100What is equal to?2021 (Phase 1)Integration by Substitution
  101. 101Consider the following measures of central tendency for a set of numbers : 1. Arithmetic mean 2. Geometric mean Which of the above uses/use 2021 (Phase 1)Mean
  102. 102The numbers of Science, Arts and Commerce graduates working in a company are 30,70 and 50 respectively. If these figures are represented by 2021 (Phase 1)Statistics
  103. 103For a histogram based on a frequency distribution with unequal class intervals, the frequency of a class should be proportional to2021 (Phase 1)Statistics
  104. 104The coefficient of correlation is independent of2021 (Phase 1)Measures of Dispersion
  105. 105The following table gives the frequency distribution of number of peas per pea pod of 198 pods : What is the median of this distribution?2021 (Phase 1)Median
  106. 106If is the mean of observations , , where is any real number, then what is the mean of ?2021 (Phase 1)Mean
  107. 107What is the sum of deviations of the variate values 73 , from their mean?2021 (Phase 1)Mean
  108. 108Let be the HM and be the GM of two positive numbers and . If , then which one of the following is correct?2021 (Phase 1)Means
  109. 109If the mean of a frequency distribution is 100 and the coefficient of variation is , then what is the value of the variance?2021 (Phase 1)Measures of Dispersion
  110. 110Let two events and be such that and . Which one of the following is correct?2021 (Phase 1)Conditional Probability and Multiplication Theorem
  111. 111For which of the following sets of numbers do the mean, median and mode have the same value?2021 (Phase 1)Mean
  112. 112The mean of 12 observations is 75 . If two observations are discarded, then the mean of the remaining observations is 65 . What is the mean 2021 (Phase 1)Mean
  113. 113If is one of the roots of the equation , then what is its other root?2021 (Phase 1)Relation between Roots and Coefficients
  114. 114The geometric mean of a set of observations is computed as 10 . The geometric mean obtained when each observation is replaced by is2021 (Phase 1)Geometric Progression
  115. 115If and , then which of the following is/are correct? 1. and are independent events. 2. and are mutually exclusive events. Select the correct2021 (Phase 1)Independent Events
  116. 116The average of a set of 15 observations is recorded, but later it is found that for one observation, the digit in the tens place was wrongly2021 (Phase 1)Mean
  117. 117A coin is tossed twice. If and denote occurrence of head on first toss and second toss respectively, then what is equal to?2021 (Phase 1)Addition and Subtraction Theorems
  118. 118In a binomial distribution, the mean is and variance is . What is the probability that random variable ?2021 (Phase 1)Bernoulli Trial and Binomial Distribution
  119. 119If the mode of the scores is 15 , then what is the value of ?2021 (Phase 1)Mode
  120. 120If and are two events such that and , then consider the following statements : 1. The minimum value of is . 2. The maximum value of is . Whi2021 (Phase 1)Addition and Subtraction Theorems

Frequently Asked Questions

1.How many questions are in the NDA 2021 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 2021 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2021.

4.What is the structure of the NDA 2021 Phase 1 paper?

The NDA 2021 Phase 1 paper on MARKS has 270 questions, organised by subject:

  • General Ability: 150 questions - 150 single-correct.
  • Mathematics: 120 questions - 120 single-correct.
5.What is the difficulty level of the NDA 2021 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 179 (66%) are easy, 90 (33%) are medium and 1 (0%) are hard. Subject wise:

  • General Ability: 137 easy, 13 medium, 0 hard
  • Mathematics: 42 easy, 77 medium, 1 hard
6.Which chapters had the most questions in the NDA 2021 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Studies (51), General Science (50), and English (49).
  • Mathematics: Statistics (12), Trigonometric Ratios & Identities (11), and Determinants (8).
7.Where can I find the solutions for the NDA 2021 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 2021 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 2021 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.