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NDA 2020

Browse the complete General Ability and Mathematics question set from the NDA 2020 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 - 162 easy (60%), 106 moderate (39%) and 2 tough (1%). 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, 75% moderate, 2% tough; General Ability 89% easy, 11% moderate, 0% tough.

General Ability questions were entirely from General Science (52), English (50), and General Studies (48). Mathematics questions were spread across 30 chapters, with Trigonometric Ratios & Identities (21), Probability (10), and Statistics (10) carrying the most weight.

General Ability

  1. 1Select the option that is opposite in meaning to the underlined word. He nodded absently throughout the meeting.2020Antonyms
  2. 2Select the option that is opposite in meaning to the underlined word. I fullly believe that the cornerstone of good policy is an electorate 2020Antonyms
  3. 3Select the option that is opposite in meaning to the underlined word. For important medical decisions, even finding a doctor you trust is no2020Antonyms
  4. 4Select the option that is opposite in meaning to the underlined word. Planets move in their orbits.2020Antonyms
  5. 5Select the option that is opposite in meaning to the underlined word. Temperature is a measure of internal energy of an object and is freque2020Antonyms
  6. 6Select the option that is opposite in meaning to the underlined word. People argue about why Venus is so much warmer than the Earth.2020Antonyms
  7. 7Select the option that is opposite in meaning to the underlined word. Scientists are concerned whether the oceans and land biosphere will ta2020Antonyms
  8. 8Select the option that is opposite in meaning to the underlined word. The biggest debate among scientists today is about cloud feedback.2020Antonyms
  9. 9Select the option that is opposite in meaning to the underlined word. The Earth's climate sensitivity is conventionally defined as the equil2020Antonyms
  10. 10Select the option that is opposite in meaning to the underlined word. The oceans carry a huge amount of heat from the tropics to the high la2020Antonyms
  11. 11Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. several years ago, Q. course on climate chang2020Jumbled Sentences & Paragraphs
  12. 12Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. I realize that solving the climate change pro2020Jumbled Sentences & Paragraphs
  13. 13Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. although the temperature of this layer of the2020Sentence Completion
  14. 14Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. the element heats up, Q. eventually reaching 2020Jumbled Sentences & Paragraphs
  15. 15Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. two people argue about why Venus is so much w2020Jumbled Sentences & Paragraphs
  16. 16Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. are now used by more than a thousand firms Q.2020Sentence Completion
  17. 17Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. adversity without succumbing Q. to the clouds2020Jumbled Sentences & Paragraphs
  18. 18Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. friends without which the world is Q. make fr2020Jumbled Sentences & Paragraphs
  19. 19Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. takes the longest Q. that never started R. th2020Jumbled Sentences & Paragraphs
  20. 20Select the correct sequence of P, Q, R, and S from the options to form a coherent sentence. P. to what you can create Q. control, shift your2020Jumbled Sentences & Paragraphs
  21. 21Select the option that is nearest in meaning to the underlined word She got the divorce within no time.2020Synonyms
  22. 22Select the option that is nearest in meaning to the underlined word He was known for his gentle disposition.2020Synonyms
  23. 23Select the option that is nearest in meaning to the underlined word The harder we kick, the better the ball bounces back .2020Synonyms
  24. 24Select the option that is nearest in meaning to the underlined word I plan and execute .2020Synonyms
  25. 25Select the option that is nearest in meaning to the underlined word He listened to me with equanimity .2020Synonyms
  26. 26Select the option that is nearest in meaning to the underlined word The whole thing was a futile exercise.2020Synonyms
  27. 27Select the option that is nearest in meaning to the underlined word He was too cunning for her.2020Synonyms
  28. 28Select the option that is nearest in meaning to the underlined word This decision is crucial for me.2020Synonyms
  29. 29Select the option that is nearest in meaning to the underlined word The media went into a frenzy about the case.2020Synonyms
  30. 30Select the option that is nearest in meaning to the underlined word He has been yearning to go home.2020Synonyms
  31. 31Select the preposition you consider most appropriate to fill in the blank space. Simulations of the 20th century by climate models that excl2020Fillers
  32. 32Select the preposition you consider most appropriate to fill in the blank space. In extremely poor societies, children can be put to work __2020Fillers
  33. 33Select the preposition you consider most appropriate to fill in the blank space. People who are averse _______________ hard work, generally 2020Fillers
  34. 34Select the preposition you consider most appropriate to fill in the blank space. I have known her _______________ a long time.2020Fillers
  35. 35Select the preposition you consider most appropriate to fill in the blank space. I accepted the offer _______________ certain conditions.2020Fillers
  36. 36Select the preposition you consider most appropriate to fill in the blank space. She is a woman _______________ humble origin.2020Fillers
  37. 37Select the preposition you consider most appropriate to fill in the blank space. There is no cure _______________ the common cold.2020Fillers
  38. 38Select the preposition you consider most appropriate to fill in the blank space. I ran _______________ John yesterday, and it was a pleasant2020Fillers
  39. 39Select the preposition you consider most appropriate to fill in the blank space. My grandmother enjoyed boating _______________ the lovely l2020Fillers
  40. 40Select the preposition you consider most appropriate to fill in the blank space. He visits the needy to relieve them _______________ their s2020Fillers
  41. 41Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  42. 42Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  43. 43Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  44. 44Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  45. 45Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  46. 46Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  47. 47Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  48. 48Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  49. 49Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  50. 50Find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter, 2020Spotting The Errors
  51. 51New Zealand is considered part of which one of the following island groups ?2020Geography
  52. 52Which of the following statements with regard to Pradhan Mantri Krishi Sinchayee Yojana (PMKSY) is/ are correct? 1. PMKSY was launched durin2020Economy
  53. 53According to Article 79 of the Constitution of India, which of the following is/are described as a part of Parliament of India? 1. The House2020Polity
  54. 54The Five Year Plan was first launched in2020Economy
  55. 55The call for Garibi Hatao was incorporated in2020Economy
  56. 56Match List I with List II and select the correct answer using the code given below the Lists :2020Economy
  57. 57Which one of the following Directive Principles was inserted by the Constitution (42nd Amendment) Act, 1976 ?2020Polity
  58. 58A common High Court for two or more states can be established by2020Polity
  59. 59In the year 1928, a committee of Congress leaders drafted a Constitution for India. The Committee was headed by2020History
  60. 60Which one of the following statements about Jaipal Singh is NOT correct?2020History
  61. 61What is 'Tikki Mausi' in the context of Malnutrition?2020General Knowledge
  62. 62Which one of the following was the theme of the World Tourism: Day, 2019?2020General Knowledge
  63. 63Which one of the following countries has hosted the Army Exercise TSENTR, 2019?2020General Knowledge
  64. 64Which one of the following countries is called the 'country of winds'?2020General Knowledge
  65. 65Which one of the following is the oldest scientific department of Government of India?2020General Knowledge
  66. 66'Naseem-Al-Bahr' is a bilateral naval exercise between India and2020General Knowledge
  67. 67Koneru Humpy excels in which one of the following sports?2020General Knowledge
  68. 68Which one of the following was the official mascot of Khelo India Youth Games, 2020?2020General Knowledge
  69. 69In January 2020, a passenger aircraft crashed in Iran soon after taking off from Tehran's Imam Khomeini airport killing about 170 people onb2020General Knowledge
  70. 70MILAN, a multilateral naval exercise, 2020 was hosted by which one of the following cities?2020General Knowledge
  71. 71Chalk and marble are different forms of2020Chemistry
  72. 72The number of maximum electrons in N Shell is2020Chemistry
  73. 73Vinegar is also known as2020Chemistry
  74. 74A liquid is kept in a glass beaker. Which one of the following statements is correct regarding the pressure exerted by the liquid column at 2020Physics
  75. 75Which of the following statements is NOT correct regarding the travel of sound waves?2020Physics
  76. 76Deendayal Port is located at2020Geography
  77. 77Which one of the following cities is associated with Biosafety Protocol to the Convention on Biological Diversity (2000)?2020General Knowledge
  78. 78Krishna Raja Sagara Dam / Reservoir is developed on2020Geography
  79. 79Which one of the following Indian states does NOT share international border with two or more countries?2020Geography
  80. 80According to Census of India, 2011, which one among the following is the least populated state in India?2020Geography
  81. 81The speakers of major Indian languages belong to how many language families?2020Geography
  82. 82Where did Gandhiji initially forge the techniques of Satyagraha?2020History
  83. 83Who was the Viceroy of India at the time of Gandhiji's Dandi march?2020History
  84. 84Which one of the following American newsmagazines was highly sceptical of Gandhiji's Dandi march initially but within a week completely chan2020History
  85. 85In which of the following years were passengers trains introduced in England?2020History
  86. 86The correct relation between the radius of curvature and focal length of a spherical mirror is2020Physics
  87. 87A lemon kept in water in a glass tumbler appears to be larger than its actual size. It is because of2020Physics
  88. 88Light enters the eye through a thin mambrane called2020Biology
  89. 89Name the scientist who first used a glass prism to obtain the spectrum of sunlight2020Physics
  90. 90The cost of energy to operate an industrial refrigerator that consumes 5 kW power working 10 hours per day for 30 days will be (Given that t2020Physics
  91. 91Which one of the following statements regarding magnetic field is NOT correct?2020Physics
  92. 92Which one of the following statements is NOT correct?2020Chemistry
  93. 93How many covalent bonds are present in a Chloropropane molecule having molecular formula, ?2020Chemistry
  94. 94Which one of the following is the most fundamental characteristic of an element?2020Chemistry
  95. 95Neutrons were discovered by2020Physics
  96. 96Atomic mass of an element is equal to the sum of number of2020Chemistry
  97. 97Which one of the following element's isotope is used in the treatment of cancer?2020Chemistry
  98. 98Which one of the following cell organelles may play a role in expelling excess water and wastes in case of unicellular organisms?2020Biology
  99. 99Which one of the following terms describes the practice of growing two or more crops simultaneously on the same piece of land?2020Biology
  100. 100Which one of the following statements is correct about effects of antibiotics on viruses?2020Biology
  101. 101The Panama Canal opened in 1914, links2020History
  102. 102The United Nations Charter was signed by 51 original members of the United Nations in 1945 at the2020History
  103. 103Land Revenue Records maintained in India have categorized land-use into2020Geography
  104. 104Dry land farming in India is largely confined to areas with rainfall less than2020Geography
  105. 105For an area to be excluded from the drought-prone category, what percentage of its gross cropped area should be under irrigation?2020Geography
  106. 106Which one of the following is NOT a current of Pacific Ocean?2020Geography
  107. 107The duration of monsoon in India extends for an average period of2020Geography
  108. 108Which one of the following is the natural vegetation of South east China?2020Geography
  109. 109Which one of the following is a cold local wind?2020Geography
  110. 110What was the consequence of Permanent Settlement on rural society in Bengal?2020History
  111. 111What was Damin-i Koh in Rajmahal area?2020History
  112. 112Which one of the following statements about the Revolt of 1857 is correct?2020History
  113. 113Which one among the following was NOT a Panch Sheel principle?2020History
  114. 114Who among the following had organised, in 1904, a secret society of revolutionaries named Abhinav Bharat?2020History
  115. 115The principle that the framing of the new Constitution for independent India should be primarily (though not solely) the responsibility of I2020History
  116. 116Which one of the following is a major environmental issue in Easterm Canada?2020Biology
  117. 117Which one of the following mountains lies in between Caspian Sea and Black Sea?2020Geography
  118. 118Bagalihar, Dulhasti and Salal hydro power projects have been developed on which of the following rivers ?2020Geography
  119. 119Which of the following statements with regard to Biosphere Reserve is/are correct? 1. The idea of Biosphere Reserve was initiated by UNESCO 2020Biology
  120. 120Which one of the following countries does NOT have direct access to the sea/ocean?2020Geography
  121. 121In an incandescent electric bulb, the filament of the bulb is made up of which metal?2020Physics
  122. 122Two equal resistors R are connected in parallel, and a battery of 12 V is connected across this combination. A dc current of 100 mA flows th2020Physics
  123. 123Which one of the following is NOT the unit of energy?2020Physics
  124. 124Which one of the following statements is NOT correct?2020Chemistry
  125. 125In prokaryotic organisms, nuclear region is not surrounded by a membrane. This undefined nuclear region is known as2020Biology
  126. 126Which one of the following plant tissues has dead cells?2020Biology
  127. 127Cartilage is NOT found in2020Biology
  128. 128Two planets orbit the Sun in circular orbits, with their radius of orbit as and . Ratio of their periods around the Sun will be2020Physics
  129. 129A metallic wire having resistance of is cut into two equal parts in length. These parts are then connected in parallel. The resistance of th2020Physics
  130. 130Light of uniform intensity impinges perpendicularly on a totally reflecting surface. If the area of the surface is halved, the radiation for2020Physics
  131. 131The part of the human eye on which the image is formed is2020Biology
  132. 132Consider the following image : A proton enters a magnetic field at right angles to it, as shown above. The direction of force acting on the 2020Physics
  133. 133Which one of the following statements about sound is NOT correct?2020Physics
  134. 134When the short circuit condition occurs, the current in the circuit2020Physics
  135. 135Which one of the following is NOT a component of human male reproductive system?2020Biology
  136. 136Which one of the following is NOT a reason of decrease in biodiversity?2020Biology
  137. 137Which one of the following is NOT a cause of depletion in groundwater?2020Biology
  138. 138Which one of the following types of radiations has the smallest wavelength?2020Physics
  139. 139The instrument used for detecting the presence of electric current in a circuit is2020Physics
  140. 140Which one of the following is the largest composition in biogas ?2020Chemistry
  141. 141The Sun appears reddish during sunrise and sunset. The phenomenon in optics which is responsible for this appearance of the Sun is2020Physics
  142. 142A lens has a power of +2.0 Dioptre. Which one of the following statements about the lens is true?2020Physics
  143. 143At nearly , sodium bicarbonate shows the property of gradually decomposing, which makes it usable in bakery products. The product of decompo2020Chemistry
  144. 144Number of molecules of water of crystallization in copper sulphate, sodium carbonate and Gypsum are2020Chemistry
  145. 145Which one of the following is the correct sequence of change in colours when a turmeric stain on white clothes is scrubbed by soap and then 2020Chemistry
  146. 146Which one of the following statements regarding Bleaching powder and D.D.T. is correct?2020Chemistry
  147. 147Which one of the following is the best example of desiccant?2020Chemistry
  148. 148Which one of the following was the first mineral acid discovered?2020Chemistry
  149. 149The refractive index of fused quartz is 1.46 and that of sapphire is 1.77 . If is the speed of light in quartz and is the speed of light in 2020Physics
  150. 150In case of a concave mirror, if an object is kept between principal focus F and pole P of the mirror, then which one of the following statem2020Physics

Mathematics

  1. 1What is the modulus of the complex number , where ?2020Conjugate, modulus and argument
  2. 2Consider the proper subsets of . How many of these proper subsets are superset of the set ?2020Questions on number of relations and sets
  3. 3Let and be three distinct positive real numbers. If , then which one of the following is correct?2020Expansion of Determinants
  4. 4What is the sum of the last five coefficients in the expansion of when it is expanded in ascending powers of ?2020Properties of Binomial Coefficients
  5. 5Consider the following in respect of a non-singular matrix of order 3 : 1. 2. Which of the above statements is/are correct?2020Adjoint and its Properties
  6. 6The center of the circle is2020Equation of Circle & its intercept
  7. 7The point is one of the vertices of a square. If is the equation of one diagonal of the square, then what is the equation of the other diago2020Angle between Lines
  8. 8Let be any point on the ellipse . If and are two points, then what is equal to?2020Equation of Ellipse
  9. 9If the circumcentre of the triangle formed by the lines and is , then what is the value of ?2020Coordinate System
  10. 10In the parabola, , what is the length of the chord passing through the vertex and inclined to the -axis at an angle ?2020Chord of parabola
  11. 11Under which condition, are the points and collinear?2020Point and Line
  12. 12Let be a triangle. If and are the midpoints of the sides and respectively, then what is the length of the side ?2020Coordinate System
  13. 13If the foot of the perpendicular drawn from the point to the line is , then what is the value of ?2020Point and Line
  14. 14What is the obtuse angle between the lines whose slopes are and ?2020Angle between Lines
  15. 15If and are the equations of a pair of opposite sides of a square, then what is the area of the square?2020Point and Line
  16. 16Paragraph: Read the following information and answer that follow: Let and . Question: What is equal to ?2020Basic Identities & T Ratios
  17. 17Paragraph: Read the following information and answer that follow: Let and . Question: What is equal to?2020Basic Identities & T Ratios
  18. 18Paragraph: Read the following information and answer that follow: Let and . Question: What is equal to?2020Basic Identities & T Ratios
  19. 19Paragraph: Read the following information and answer Let . Question: What is equal to?2020Basic Identities & T Ratios
  20. 20Paragraph: Read the following information and answer Let . Question: What is equal to?2020Basic Identities & T Ratios
  21. 21Paragraph: Read the following information and answer Let . Question: What is the value of where ?2020Basic Identities & T Ratios
  22. 22Paragraph: Read the following information and answer: Let . Question: What is the value of ?2020Basic Identities & T Ratios
  23. 23Paragraph: Read the following information and answer: Let . Question: What is the value of ?2020Sum and Difference & Multiple angle Formula
  24. 24Paragraph: Read the following information and answer: Let . Question: What is equal to?2020Sum and Difference & Multiple angle Formula
  25. 25If , where , then what is equal to?2020Transformation Formulas
  26. 26If is a matrix of order and is a matrix of order , then the order of and will respectively be2020Product of Matrices
  27. 27If and (where are in GP, then which of the following is/are correct? 1. and are in GP. 2. and are in AP . Select the correct answer using th2020Geometric Progression
  28. 28If and are the roots of the equation , then what is equal to ?2020Relation between Roots and Coefficients
  29. 29The roots and of a quadratic equation, satisfy the relations and . What is the number of such quadratic equations?2020Relation between Roots and Coefficients
  30. 30What is the argument of the complex number , where ?2020Conjugate, modulus and argument
  31. 31Paragraph: Read the following information and answer: Consider the following Venn diagram, where and are three sets. Let the number of eleme2020Questions on Venn Diagram
  32. 32Paragraph: Read the following information and answer: Consider the following Venn diagram, where and are three sets. Let the number of eleme2020Questions on Venn Diagram
  33. 33Paragraph: Read the following information and answer: Consider the following Venn diagram, where and are three sets. Let the number of eleme2020Questions on Venn Diagram
  34. 34Paragraph: Read the following information and answer: Let , where and . Question: What is equal to?2020Sum and Difference & Multiple angle Formula
  35. 35Paragraph: Read the following information and answer: Let , where and . Question: For real values of cannot lie between2020Maximum and Minimum Values
  36. 36Paragraph: Read the following information and answer: is a trapezium such that and are parallel and is perpendicular to them. Let and and . 2020Sine Rule and its application
  37. 37Paragraph: Read the following information and answer: is a trapezium such that and are parallel and is perpendicular to them. Let and and . 2020Basic Identities & T Ratios
  38. 38If , then what is the value of ?2020Basic Identities & T Ratios
  39. 39and are positive acute angles such that and . What is the value of ?2020Sum and Difference & Multiple angle Formula
  40. 40What is equal to ?2020Sum and Difference & Multiple angle Formula
  41. 41The value of ordinate of the graph of lies in the interval2020Basic Identities & T Ratios
  42. 42What is the value of ?2020Sum and Difference & Multiple angle Formula
  43. 43What is the value of ?2020Transformation Formulas
  44. 44Consider the following statements : 1. If is a right-angled triangle, right-angled at and if , then . 2. If and if the triangle is not right2020Sine Rule and its application
  45. 45Consider the following statements : 1. If in a triangle and , then it must be an obtuse-angled triangle. 2. There exists no triangle with an2020Sine Rule and its application
  46. 46If matrix where , then which one of the following is correct?2020Types of Matrices
  47. 47The term independent of in the binomial expansion of is equal to2020Terms of Binomial Expansion
  48. 48If , then what is equal to?2020Terms of Binomial Expansion
  49. 49If , then what is equal to?2020Combination
  50. 50For how many values of , is the matrix singular?2020Expansion of Determinants
  51. 51The number can be written in decimal system as2020Arithmetic Operations of Binary Numbers
  52. 52What is the value of2020Logarithm
  53. 53If , then which of the following is correct?2020Logarithm
  54. 54Let and . If , then what is the value of the determinant of the matrix ?2020Product of Matrices
  55. 55If , then which one of the following is correct?2020Inequalities
  56. 56Let }. A relation R on is defined by if when . Then the relation is2020Questions on Symmetric Transitive and Reflexive Properties
  57. 57What is the value of the determinant where ?2020Expansion of Determinants
  58. 58Let and , then what is equal to?2020Product of Matrices
  59. 59What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places?2020Arrangement under Constraint
  60. 60What is the maximum number of points of intersection of 5 non-overlapping circles?2020Combination
  61. 61Paragraph: Read the following information and answer: Question: The difference between number of students under Physics and Mathematics is l2020Statistics
  62. 62Paragraph: Read the following information and answer: Question: Consider the following statements : 1. Modal value of the marks in Physics l2020Median
  63. 63Paragraph: Read the following information and answer: Question: What is the mean of marks in Physics?2020Mean
  64. 64What is the standard deviation of the observations ?2020Measures of Dispersion
  65. 65If and for an observed variable , then what is the coefficient of variation?2020Measures of Dispersion
  66. 66What is the probability that February of a leap year selected at random, will have five Sundays?2020Classical Definition of Probability
  67. 67The arithmetic mean of 100 observations is 40 . Later, it was found that an observation '53' was wrongly read as ' 83 '. What is the correct2020Mean
  68. 68A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband's selection is and that of wif2020Independent Events
  69. 69A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is the probabili2020Classical Definition of Probability
  70. 70A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2 boys and 1 gir2020Classical Definition of Probability
  71. 71In a lottery of 10 tickets numbered 1 to 10 , two tickets are drawn simultaneously. What is the probability that both the tickets drawn have2020Classical Definition of Probability
  72. 72Let and represent prices (in ₹) of a commodity in Kolkata and Mumbai respectively. It is given that , and . What is the equation of regressi2020Statistics
  73. 73Consider a random variable which follows Binomial distribution with parameters and . Then follows Binomial distribution with parameters and 2020Bernoulli Trial and Binomial Distribution
  74. 74If and are two events such that and , then consider the following statements : 1. . 2. . Which of the above statements is/are correct?2020Addition and Subtraction Theorems
  75. 75Three cooks and bake a special kind of cake, and with respective probabilities and 0.05 , it fails to rise. In the restaurant where they wor2020Baye's Theorem
  76. 76Consider the following statements for : 1. The function is continuous at . 2. The function is differentiable at . Which of the above stateme2020Continuity
  77. 77What is the maximum value of ?2020Maximum and Minimum Values
  78. 78What is equal to?2020Algebraic and Rational Limits
  79. 79What is the derivative of with respect to ?2020Differentiation of Inverse Trigonometric Functions
  80. 80The function which satisfies the differential equation , is2020Variable Separable Form
  81. 81What is the minimum value of where ?2020Maximum and Minimum Values
  82. 82Consider the following statements : 1. The function increases in the interval . 2. The function increases in the interval . Which of the abo2020Monotonicity
  83. 83Which one of the following is correct in respect of the graph of ?2020Domain
  84. 84What is the solution of the differential equation2020Variable Separable Form
  85. 85Let be the length and be the breadth of a rectangle such that . What is the maximum area of the rectangle?2020Maxima Minima
  86. 86The numbers 4 and 9 have frequencies and respectively. If their arithmetic mean is 6 , then what is the value of ?2020Mean
  87. 87If three dice are rolled under the condition that no two dice show the same face, then what is the probability that one of the faces is havi2020Conditional Probability and Multiplication Theorem
  88. 88If and , then which one of the following is not correct?2020Independent Events
  89. 89The sum of deviations of number of observations measured from 2.5 is 50 . The sum of deviations of the same set of observations measured fro2020Statistics
  90. 90A data set of observations has mean , while another data set of observations has mean . What is the mean of the combined data sets?2020Mean
  91. 91If and and are opposite in sign, then which of the following is correct?2020Relation between Roots and Coefficients
  92. 92If , where is an arbitrary constant and is a function of , then what is equal to?2020Differentiation of implicit functions
  93. 93If , then what is equal to?2020Integration by Substitution
  94. 94What is the value of ?2020Definite Integration by Substitution
  95. 95Let . If changes from 10 to 10.1 , then what is the total change in ?2020Rate Measure Error and Approximation
  96. 96If , where , is to be continuous at , then the value of the function at2020Continuity
  97. 97The solution of the differential equation is2020Variable Separable Form
  98. 98What is equal to ?2020Integration by Parts
  99. 99What is the domain of the function ?2020Principal Value and Basics
  100. 100What is the area of the region enclosed between the curve and the straight line ?2020Area bounded by two curves
  101. 101If , then what is the value of when ?2020Composite Function
  102. 102If , then what is equal to?2020Differentiation of implicit functions
  103. 103What is equal to?2020Integration by Substitution
  104. 104What is the minimum value of , where ?2020Inequalities
  105. 105What is the value of such that integration of with respect to , may be a rational function?2020Integration by Substitution
  106. 106What is the length of the diameter of the sphere whose centre is at and which touches the plane ?2020Plane in Space
  107. 107What is the perpendicular distance from the point to the line ?2020Line in Space
  108. 108If a line has direction ratios , then what is the sum of the squares of its direction cosines?2020Direction Cosines and Direction Ratios
  109. 109Into how many compartments do the coordinate planes divide the space?2020Basics of point in 3 dimension
  110. 110What is the equation of the plane which cuts an intercept 5 units on the -axis and is parallel to -plane?2020Plane in Space
  111. 111If is a unit vector in the -plane making an angle with the positive -axis, then what is equal to ?2020Algebra of Vectors
  112. 112Let be a point in space such that , where is the origin. If is inclined at angles and with axis and -axis respectively, then what is equal t2020Direction Cosines and Direction Ratios
  113. 113Two adjacent sides of a parallelogram are and . What is the magnitude of dot product of vectors which represent its diagonals?2020Product of 2 vectors
  114. 114If and , then what is equal to ?2020Product of 2 vectors
  115. 115If the vectors and are coplanar, then what is the value of ?2020Algebra of Vectors
  116. 116What is equal to ?2020Algebraic and Rational Limits
  117. 117The radius of a circle is increasing at the rate of . What is the rate of increase of its circumference?2020Rate Measure Error and Approximation
  118. 118If , where , then what is the value of ?2020Algebraic and Rational Limits
  119. 119The order and degree of the differential equation are respectively2020Order and Degree
  120. 120What is equal to?2020Algebraic and Rational Limits

Frequently Asked Questions

1.How many questions are in the NDA 2020 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.How is the NDA 2020 paper structured?

The NDA 2020 paper on MARKS has 270 questions, organised by subject:

  • General Ability: 150 questions - 150 single-correct.
  • Mathematics: 120 questions - 120 single-correct.
4.How difficult is the NDA 2020 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 162 (60%) are easy, 106 (39%) are medium and 2 (1%) are hard. Subject wise:

  • General Ability: 134 easy, 16 medium, 0 hard
  • Mathematics: 28 easy, 90 medium, 2 hard
5.Which chapters were asked the most in the NDA 2020 paper?

The chapters with the most questions in each subject were:

  • General Ability: General Science (52), English (50), and General Studies (48).
  • Mathematics: Trigonometric Ratios & Identities (21), Probability (10), and Statistics (10).
6.Where can I find the solutions for the NDA 2020 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.

7.How should I use the NDA 2020 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.

8.Will the NDA 2020 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.