Jump to a section

NDA 2023 Phase 1

Browse the complete General Ability and Mathematics question set from the NDA 2023 Phase 1 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 270 questions in total - 134 easy (50%), 133 moderate (49%) and 3 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 13% easy, 84% moderate, 3% tough; General Ability 79% easy, 21% moderate, 0% tough.

General Ability questions were entirely from English (50), General Science (50), and General Studies (50). Mathematics questions were spread across 28 chapters, with Determinants (9), Statistics (9), and Probability (8) carrying the most weight.

General Ability

  1. 1Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  2. 2Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  3. 3Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  4. 4Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  5. 5Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  6. 6Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  7. 7Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  8. 8Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  9. 9Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  10. 10Each item in this section has a sentence with three underline parts labelled. Read the sentence to find out whether there is any error in an2023 (Phase 1)Spotting The Errors
  11. 11During the pandemic the { indigent} people had to suffer a lot.2023 (Phase 1)Synonyms
  12. 12She had no idea what made him angry in one minute and {jovial} the next.2023 (Phase 1)Antonyms
  13. 13It is sheer {lunacy} to drive a car in this frosty weather.2023 (Phase 1)Synonyms
  14. 14Operating on a child with cancer needs {meticulous} planning and teamwork.2023 (Phase 1)Synonyms
  15. 15The thrill of over-speeding the vehicle can be {exhilarating}, but it is important not to take the consequences lightly.2023 (Phase 1)Synonyms
  16. 16The {redemption} will now depend on his new strategy of inclusiveness.2023 (Phase 1)Synonyms
  17. 17Only three candidates are now in {contention} for the title.2023 (Phase 1)Synonyms
  18. 18All my fishing {paraphernalia} is in the car.2023 (Phase 1)Synonyms
  19. 19The public watched in {astonishment} as he took a sudden jump the bridge.2023 (Phase 1)Synonyms
  20. 20Drinking {inordinate} amount of liquor is not good2023 (Phase 1)Antonyms
  21. 21{because I feel }/(P) { you remember it better} /(Q) {when you write something},/(R) { {I make at least three drafts of a song}/(S) The corr2023 (Phase 1)Sentence Completion
  22. 22for hours in the shop /(P) a gunman who held /(Q) a hostage ,/(R) demanded ransom of ₹ 10 lakh /(S) The correct sequence should be :2023 (Phase 1)Spotting The Errors
  23. 23{living in Russia}/(P) {country immediately} /(Q) {Ukraine has urged its citizens},/(R) {to leave the}/(S) The correct sequence should be :2023 (Phase 1)Spotting The Errors
  24. 24{ripping roofs off houses and raising fears of}/(P) {coast of Madagascar in the early hours,} /(Q) {cyclone Emnati crashed into the southeas2023 (Phase 1)Sentence Completion
  25. 25{ecology is protected and aquatic life thrives}/(P) {we need to utilize the resources of water} /(Q) {for different purposes while},/(R) {en2023 (Phase 1)Jumbled Sentences & Paragraphs
  26. 26{very difficult}/(P) {the poor visibility} /(Q) {made the movement of traffice},/(R) {due to fog}/(S) The correct sequence should be :2023 (Phase 1)Spotting The Errors
  27. 27{avenues for the patients to indict}/(P) {/(P) but rarely is it the other way round} /(Q) {there are multiple legal},/(R) {the doctors}/(S) 2023 (Phase 1)Spotting The Errors
  28. 28{flight, and each person}/(P) {her own journey} /(Q) {life is solo},/(R) {makes his or}/(S) The correct sequence should be :2023 (Phase 1)Spotting The Errors
  29. 29(P) made it evolve (Q) technologies and equipment has (R) into a rare centre of excellence (S) adoption of the latest The correct sequence s2023 (Phase 1)Sentence Improvement
  30. 30{please mark the same}/(P) {be made in response to this notice} /(Q) {if you have any complaint to},/(R) {to the concerned authority}/(S) Th2023 (Phase 1)Spotting The Errors
  31. 31The parental support can {fortify} a child’s learning.2023 (Phase 1)Synonyms
  32. 32Now we can have another {dazzling} thought, as an outcome of my brilliant research!2023 (Phase 1)Synonyms
  33. 33The group held some {clandestine} meetings to resolve the matter.2023 (Phase 1)Synonyms
  34. 34In the winters, the countryside view is {bleak} and the house is drafty.2023 (Phase 1)Synonyms
  35. 35Amid {commotion} the leader and his supporters remained passive.2023 (Phase 1)Synonyms
  36. 36He had the {audacity} to blame him.2023 (Phase 1)Synonyms
  37. 37They are making plans for the {abatement} of the nuisance within a specified time.2023 (Phase 1)Synonyms
  38. 38There is {exponential} growth in the development of the scientific researches in the recent few decades.2023 (Phase 1)Synonyms
  39. 39He was known for his {sagacity}.2023 (Phase 1)Synonyms
  40. 40The river Ganges {culminates} in the Bay of Bengal.2023 (Phase 1)Synonyms
  41. 41The lion’s share2023 (Phase 1)Idioms and Phrases
  42. 42Spill the beans2023 (Phase 1)Idioms and Phrases
  43. 43Cook someone's goose2023 (Phase 1)Idioms and Phrases
  44. 44Disappear into thin air2023 (Phase 1)Idioms and Phrases
  45. 45Put the screws on2023 (Phase 1)Idioms and Phrases
  46. 46Sit on the fence2023 (Phase 1)Idioms and Phrases
  47. 47Be as sharp as a tack2023 (Phase 1)Idioms and Phrases
  48. 48From pillar to post2023 (Phase 1)Idioms and Phrases
  49. 49Heath Robinson2023 (Phase 1)Idioms and Phrases
  50. 50As thick as thieves2023 (Phase 1)Idioms and Phrases
  51. 51Two identical spring balances and are connected one after the other and are held vertically as shown in the figure. A mass of 10 kg is hangi2023 (Phase 1)Physics
  52. 52A stone is thrown horizontally from the top of a 20 m high building with a speed of . It hits the ground at a distance from the building. Ta2023 (Phase 1)Physics
  53. 53A sphere of volume is made of a material with lower density than water. While on Earth, it floats on water with its volume submerged. On the2023 (Phase 1)Physics
  54. 54Two identical containers and are connected at the bottom by a thin tube of negligible volume. The tube has a valve in it, as shown in the fi2023 (Phase 1)Physics
  55. 55A particle is moving in a circle of radius with a constant speed . Its average acceleration over the time when it moves over half the circle2023 (Phase 1)Physics
  56. 56Two forces of 5.0 N each are acting on a point mass. If the angle between the forces is , then the net force acting on the point mass has ma2023 (Phase 1)Physics
  57. 57Which one of the following is not an igneous rock?2023 (Phase 1)Geography
  58. 58Which of the following statements is/are correct? 1. Hypocenter is the point on the surface of the Earth, nearest to the focus. 2. Velocity 2023 (Phase 1)Geography
  59. 59In terms of geological time scale, the quaternary period consists of two epochs. They are :2023 (Phase 1)Geography
  60. 60Which one of the following is the correct sequence of arrangement of the given planets is descending order of their density in ?2023 (Phase 1)Geography
  61. 61Which one of the following is not a cold current?2023 (Phase 1)Geography
  62. 62The process of Podsolization is predominantly found in:2023 (Phase 1)Geography
  63. 63Joint Military exercise 'Keen Sword 23' was conducted between :2023 (Phase 1)General Knowledge
  64. 64The Battle of Rezang La, an epic battle in hostile conditions, was fought by the Indian Army in :2023 (Phase 1)History
  65. 65Consider the following statements about 'Exercise Sea Vigil-22' : 1. Its aim is to assess India's preparedness in the domain of Maritime sec2023 (Phase 1)General Knowledge
  66. 66Consider the following statements : 1. England is the only country that won the ICC T20 World Cup twice. 2. Virat Kohli is the only player t2023 (Phase 1)General Knowledge
  67. 67Who among the following is not a recipient of Nobel Prize in Chemistry in 2022?2023 (Phase 1)General Knowledge
  68. 68Consider the following statements regarding cell wall composition : 1. Bacterial cell wall is made of peptidoglycan. 2. Fungal cell wall is 2023 (Phase 1)Biology
  69. 69Which one of the following structures is not present in a prokaryotic cell?2023 (Phase 1)Biology
  70. 70In a plant cell, which one of the following contains their own DNA?2023 (Phase 1)Biology
  71. 71One advantage of sexual reproduction over asexual reproduction is that it helps species to survive over long evolutionary time. This is beca2023 (Phase 1)Biology
  72. 72Which one of the following structures or components is not always present in living cells?2023 (Phase 1)Biology
  73. 73Browning of the chopped apple can be minimized by:2023 (Phase 1)Chemistry
  74. 74Which of the hydrocarbons are arranged as per the increasing order of their boiling points?2023 (Phase 1)Chemistry
  75. 75Which one of the following apparatus is sued for separating benzene and water mixture?2023 (Phase 1)Chemistry
  76. 76An iron nail dipped in copper sulphate solution turns brown. This is due to which one of the following types of reactions?2023 (Phase 1)Chemistry
  77. 77Among the following, which is not the correct method for keeping the curd?2023 (Phase 1)Chemistry
  78. 78Toothpaste prevents tooth decay by :2023 (Phase 1)Chemistry
  79. 79Freedom fighter Kanaklata Barua was martyred in :2023 (Phase 1)History
  80. 80Which one among the following statements about the Mansabdari system is correct?2023 (Phase 1)History
  81. 81Which Governor General of Bengal underwent impeachment proceedings in the British Parliament?2023 (Phase 1)History
  82. 82Who among the following composed the 'Prayag Prashasti' of Samudragupta?2023 (Phase 1)History
  83. 83Which one of the following kingdoms was founded by the two brothers Harihar and Bukka?2023 (Phase 1)History
  84. 84At which one of the following places did the Danes establish their settlement in India?2023 (Phase 1)History
  85. 85A rectangle is kept in front of a concave mirror of focal length with its corners and being, respectively, at distances and from the mirror 2023 (Phase 1)Physics
  86. 86Shown in the figure are two plane mirrors and joined at their edge. Also shown is a light ray falling on one of the mirrors and reflected ba2023 (Phase 1)Physics
  87. 87A railway wagon (open at the top) of mass is moving with speed along a straight track. As a result of rain, after some time it gets partiall2023 (Phase 1)Physics
  88. 88Which one of the following statements is not true for a flute, a musical instrument?2023 (Phase 1)Physics
  89. 89A positive charge is moving towards south in a space where magnetic field is pointing in the north direction. The moving charge will experie2023 (Phase 1)Physics
  90. 90Which one of the following is not a main greenhouse gas?2023 (Phase 1)Chemistry
  91. 91Which one of the following statements about -rays is not true?2023 (Phase 1)Physics
  92. 92Which one among the following is the northernmost geographical location?2023 (Phase 1)Geography
  93. 93Consider the following statements : 1. Distance between the longitudes becomes zero on North Pole and South Pole. 2. Distance between the lo2023 (Phase 1)Geography
  94. 94Which one among the following states is the leading producer of Manganese in India?2023 (Phase 1)Geography
  95. 95Mica is mainly used in :2023 (Phase 1)Geography
  96. 96According to Koppen's climatic classifications, the Great Northern Plains of India have which one of the following climates?2023 (Phase 1)Geography
  97. 97Which of the following statements about Lachit Borphukan is/are correct? 1. He was a General of the Ahom Force. 2. He is known for his leade2023 (Phase 1)History
  98. 98The 4th edition of joint military exercise 'DUSTLIK' between the Indian Army and the Uzbekistan Army was held in :2023 (Phase 1)General Knowledge
  99. 99Which of the following is India's first privately developed rocket launched by ISRO recently?2023 (Phase 1)General Knowledge
  100. 100Which one among the following villages was recently declared as India's first solar-powered village?2023 (Phase 1)General Knowledge
  101. 101Tableaux of which one of the following States was adjudged the best in the Republic Day Parade, 2023?2023 (Phase 1)General Knowledge
  102. 102Organisms capable of using as principal carbon source are called:2023 (Phase 1)Biology
  103. 103When yeast cells are starved, fermentation serves as the source of energy. This results in the production of :2023 (Phase 1)Biology
  104. 104During a laboratory experiment, a student immerses epidermal leaf peel in a hypertonic solution. After some time, the student examined the c2023 (Phase 1)Biology
  105. 105Which one of the following is a characteristic feature of fungi?2023 (Phase 1)Biology
  106. 106Which one of the following statements about bryophytes is not correct?2023 (Phase 1)Biology
  107. 107What is the specific purpose of using potassium hydroxide during the saponification process?2023 (Phase 1)Chemistry
  108. 108Which one of the following is the correct arrangement of metals in the decreasing order of their reactivity?2023 (Phase 1)Chemistry
  109. 109Which among the following statements is not correct with respect to allotrop Qes of Carbon?2023 (Phase 1)Chemistry
  110. 110Which among the following is the popular method for manufacture of ammonia?2023 (Phase 1)Chemistry
  111. 111For manufacturing of glass, which among the following is used as a source of silica?2023 (Phase 1)Chemistry
  112. 112Which among the following is the correct arrangement of halogens in the increasing order of their oxidizing nature?2023 (Phase 1)Chemistry
  113. 113Copper sulphate crystals available in the market are blue coloured crystals. By careful heating, they turn to white colour. Which one of the2023 (Phase 1)Chemistry
  114. 114Equal volume of all gases, when measured at the same temperature and pressure, contain an equal number of particles. Who proposed the above 2023 (Phase 1)Chemistry
  115. 115Airbags work on the principle of a chemical reaction triggered by the impact producing a gaseous product that causes a sudden volume change.2023 (Phase 1)Chemistry
  116. 116Which one among the following districts of Eastern India held a referendum in 1947 to decide whether or not to join Pakistan?2023 (Phase 1)History
  117. 117Which one of the following statements about Rabatak inscription is not correct?2023 (Phase 1)History
  118. 118Who among the following was the author of the famous Sanskrit work 'Mrichchhakatika'?2023 (Phase 1)History
  119. 119Yashovarman was ruler of which one of the following kingdoms?2023 (Phase 1)History
  120. 120Which one among the following rulers established Pataliputra as the capital of the Magadhan Empire?2023 (Phase 1)History
  121. 121Which one of the following astronomers proved that the Earth and other planets revolve around the Sun?2023 (Phase 1)History
  122. 122Sand falls vertically on a conveyor belt at a rate of 0.1 . In order to keep the belt moving at a uniform speed of , the force required to b2023 (Phase 1)Physics
  123. 123The power required to lift a mass of 8.0 kg up a vertical distance of 4 m in 2 s is (taking acceleration due to gravity as :2023 (Phase 1)Physics
  124. 124One block of 2.0 kg mass is placed on top of another block of 3.0 kg mass. The coefficient of static friction between the two blocks is 0.2 2023 (Phase 1)Physics
  125. 125A mass is attached to a spring that hangs vertically. The extension produced in the spring is 6 cm on Earth. The acceleration due to gravity2023 (Phase 1)Physics
  126. 126Which one of the following is an example of Second Class Lever?2023 (Phase 1)Physics
  127. 127In an electric circuit, a wire of resistance is used. If this wire is stretched to a length double of its original value, the current in the2023 (Phase 1)Physics
  128. 128What is the total resistance in the following circuit element?2023 (Phase 1)Physics
  129. 129Which of the following scheme(s) is/are included under Bharatmala Pariyojana? 1. Develop the road connectivity to border areas 2. Developmen2023 (Phase 1)Economy
  130. 130Deendayal Port was earlier known as :2023 (Phase 1)General Knowledge
  131. 131The Counter Insurgency and Jungle Warfare School of Indian Army is situated at :2023 (Phase 1)General Knowledge
  132. 132In the soil-forming regime, which one of the following occurs in a region where evapotranspiration exceeds precipitation significantly?2023 (Phase 1)Geography
  133. 133Which one of the following is found in the innermost part of the Earth?2023 (Phase 1)Geography
  134. 134Which of the following tree species is/are found on Himalayas? 1. Oak 2. Rhododendron 3. Rosewood Select the correct answer using the code g2023 (Phase 1)Geography
  135. 135Which one of the following is the lowermost /innermost intrusive igneous rock?2023 (Phase 1)Geography
  136. 136If it is 12 noon in New Delhi, what will be the time in London, UK?2023 (Phase 1)Geography
  137. 137Which of the following positions of Sun, Earth and Moon is/are suitable for Spring Tide? 1. SYZYGY Conjunction 2. SYZYGY Opposition 3. Quadr2023 (Phase 1)Geography
  138. 138Which Renaissance artist painted 'The Last Supper'?2023 (Phase 1)History
  139. 139Which one of the following European explorer conquered Mexico?2023 (Phase 1)History
  140. 140Near which one of the following cities in India have large statues of Kushana rulers been discovered?2023 (Phase 1)History
  141. 141The Treaty of Yandabo was concluded as part of which one of the following wars?2023 (Phase 1)History
  142. 142Plan allocation in agriculture and irrigation as percentage of total plan outlay was highest in:2023 (Phase 1)Economy
  143. 143The UN COP-27 Summit relates to :2023 (Phase 1)General Knowledge
  144. 144Which one of the following tribes from India's North-East had the earliest known association with cultivation and production of tea?2023 (Phase 1)History
  145. 145By which one of the following amendments, was Article 51 A, relating to the Fundamental Duties, inserted into the Constitution of India?2023 (Phase 1)Polity
  146. 146Which one of the following statements is true?2023 (Phase 1)Physics
  147. 147An electric bulb is rated as 220 V and 80 W . When it is operated on 110 V , the power rating would be :2023 (Phase 1)Physics
  148. 148In the dispersion of white light by a common glass prism, which one among the following is correct?2023 (Phase 1)Physics
  149. 149Which one among the following is true for the speed of sound in a given medium?2023 (Phase 1)Physics
  150. 150Which one of the following telescopes contains only mirrors?2023 (Phase 1)Physics

Mathematics

  1. 1If is a non-real cube root of 1 , then what is the value of2023 (Phase 1)Cube Root of Unity
  2. 2What is the number of 6 digit numbers that can be formed only by using and 5 (each once); and divisible by 6 ?2023 (Phase 1)Permutation
  3. 3What is the binary number equivalent to decimal number 1011?2023 (Phase 1)Decimal to Binary Conversion
  4. 4Let A be a matrix of order and . If , then what is the value of ?2023 (Phase 1)Adjoint and its Properties
  5. 5If and are the distinct roots of equation , then what is the value of ?2023 (Phase 1)De Moivres Theorem
  6. 6Let and be symmetric matrices of same order, then which one of the following is correct regarding ? 1. Its diagonal entries are equal but no2023 (Phase 1)Symmetric & Skew Symmetric Matrices
  7. 7Consider the following statements in respect of square matrices each of same order : 1. if is non-singular 2. If for every column matrix X h2023 (Phase 1)Inverse of a Matrix
  8. 8The system of linear equations and has2023 (Phase 1)System of Linear Equations
  9. 9Let be a system of 3 liner equations with 3 -unknowns. Let and be its two distinct solutions. If the combination is a solution of ; where , 2023 (Phase 1)System of Linear Equations
  10. 10What is the sum of the roots of the equation2023 (Phase 1)Expansion of Determinants
  11. 11If where is a root of the equation , then what is the value of ?2023 (Phase 1)Relation between Roots and Coefficients
  12. 12If where , then what is the argument of ?2023 (Phase 1)Conjugate, modulus and argument
  13. 13If are in AP , then what is equal to?2023 (Phase 1)Expansion of Determinants
  14. 14If and are in G.P, then what is equal to?2023 (Phase 1)Logarithm
  15. 15If are in GP, then which one of the following is correct?2023 (Phase 1)Geometric Progression
  16. 16The first and the second terms of an AP are and respectively. If terms is the largest negative term, what is the value of ?2023 (Phase 1)Arithmetic Progression
  17. 17For how many integral values of , the equation , where is an integer, has real roots and both of them lie in the interval ?2023 (Phase 1)Location of Roots
  18. 18In an AP, the first term is and the sum of the first terms is zero. What is the sum of next terms?2023 (Phase 1)Arithmetic Progression
  19. 19Consider the following statements: 1. is divisible by 26 2. (6)! +1 is divisible by 7 Which of the above statement is/are correct?2023 (Phase 1)Divisibility Test
  20. 20If is a complex number such that is purely imaginary, then what is equal to?2023 (Phase 1)Conjugate, modulus and argument
  21. 21How many real numbers satisfy the equation2023 (Phase 1)Inequalities
  22. 22A mapping defined as . If is to be onto, then what are and equal to?2023 (Phase 1)Types of Function (Mapping)
  23. 23and are distinct real roots of the quadratic equation . Which of the following statements is/are sufficient to find ? 1. 2. Select the corre2023 (Phase 1)Relation between Roots and Coefficients
  24. 24If the sixth term in the binomial expansion of is 5600 , then what is the value of ?2023 (Phase 1)Terms of Binomial Expansion
  25. 25How many terms are there in the expansion of ?2023 (Phase 1)Terms of Binomial Expansion
  26. 26and s are in AP such that and . What is the difference between largest and smallest numbers?2023 (Phase 1)Arithmetic Progression
  27. 27Consider the following statements for a fixed natural number : 1. is greatest if 2. is greatest if and Which of the statements given above i2023 (Phase 1)Properties of Binomial Coefficients
  28. 28parallel lines cut parallel lines giving rise to 60 parallelograms. What is the value of ?2023 (Phase 1)Combination
  29. 29Let be the number of permutations of the word 'PERMUTATIONS' and be the number of permutations of the word 'COMBINATIONS'. Which one of the 2023 (Phase 1)Permutation
  30. 305 - digit numbers are formed using the digits without repetition. What is the percentage of numbers which are greater than 50,000 ?2023 (Phase 1)Permutation
  31. 31Paragraph: Let be the GM of and be the AM of and Question: What is equal to?2023 (Phase 1)Basic Identities & T Ratios
  32. 32Paragraph: Let be the GM of and be the AM of and Question: What is the value of of ?2023 (Phase 1)Sum and Difference & Multiple angle Formula
  33. 33Paragraph: A flagstaff 20 m long standing on a pillar 10 m high subtends an angle at a point on the ground. Let be the angle subtended by th2023 (Phase 1)Heights and Distances
  34. 34Paragraph: A flagstaff 20 m long standing on a pillar 10 m high subtends an angle at a point on the ground. Let be the angle subtended by th2023 (Phase 1)Heights and Distances
  35. 35Paragraph: The perimeter of a triangle ABC is 6 times the AM of sine of angle of the triangle. Further and . Question: What is the perimeter2023 (Phase 1)Cosine Rule and Projection Formula
  36. 36Paragraph: The perimeter of a triangle is 6 times the of sine of angle of the triangle. Further and . Consider the following statements: 1. 2023 (Phase 1)Sine Rule and its application
  37. 37Paragraph: Let where Question: What is the minimum value of ?2023 (Phase 1)Maxima Minima
  38. 38Paragraph: Let where Question: At what value of does attain the minimum value?2023 (Phase 1)Maxima Minima
  39. 39Paragraph: In the triangle Question: What is the nature of the triangle?2023 (Phase 1)Cosine Rule and Projection Formula
  40. 40Paragraph: In the triangle Question: If , what is the area of the triangle?2023 (Phase 1)Cosine Rule and Projection Formula
  41. 41Paragraph: Consider the function , where Question: At what value of does the function attain minimum value?2023 (Phase 1)Range
  42. 42Paragraph: Consider the function , where Question: What is the minimum value of the function?2023 (Phase 1)Range
  43. 43Paragraph: Consider the sum Question: If the sum S is divided by 8 , what is the remainder?2023 (Phase 1)Factorial
  44. 44Paragraph: Consider the sum Question: If the sum is divided by 60 , what is the remainder?2023 (Phase 1)Summation of Series
  45. 45Paragraph: In a triangle is the largest angle and . Further the in-circle of the triangle touches the sides and at and respectively such tha2023 (Phase 1)Sine Rule and its application
  46. 46Paragraph: In a triangle \(P Q R, P\) is the largest angle and \( P= {1}{3}\). Further the in-circle of the triangle touches the sides \(P Q2023 (Phase 1)Circle Connected to Triangle
  47. 47Paragraph: Given that Question: The given equation can be reduced to2023 (Phase 1)Basic Identities & T Ratios
  48. 48Paragraph: Given that Question: If , where a and b are natural numbers and c is prime number, then what is the value of ?2023 (Phase 1)Sum and Difference & Multiple angle Formula
  49. 49Paragraph: Consider the following for the next two items that follow: A quadratic equation is given by Question: What is the HM of the roots2023 (Phase 1)Relation between Roots and Coefficients
  50. 50Paragraph: Consider the following for the next two items that follow: A quadratic equation is given by Question: What is the GM of the root 2023 (Phase 1)Relation between Roots and Coefficients
  51. 51Paragraph: Question: If for every , then which one of the following is correct?2023 (Phase 1)Expansion of Determinants
  52. 52[QUESTION] Paragraph: Question: If , then is a root of which one of the following equation?2023 (Phase 1)Expansion of Determinants
  53. 53Paragraph: Given that , where is a fixed positive real number. Question: What is the least value of ?2023 (Phase 1)Inequalities
  54. 54Paragraph: Given that , where is a fixed positive real number. Question: Under what condition does attain the least value?2023 (Phase 1)Maxima Minima
  55. 55Paragraph: A quadrilateral is formed by the lines . and . Question: What is the equation of diagonal through origin?2023 (Phase 1)Basic Forms of Straight Line
  56. 56Paragraph: A quadrilateral is formed by the lines . and . Question: What is the equation of other diagonal?2023 (Phase 1)Basic Forms of Straight Line
  57. 57Paragraph: Consider the following for the next two (02) items that follow: is any point on the ellipse . Let be the foci of the ellipse. Que2023 (Phase 1)Equation of Ellipse
  58. 58Paragraph: Consider the following for the next two items that follow: is any point on the ellipse . Let be the foci of the ellipse. Question2023 (Phase 1)Equation of Ellipse
  59. 59Paragraph: The line partitions the circle in two segments. Question: What is the area of minor segment?2023 (Phase 1)Equation of Circle & its intercept
  60. 60Paragraph: The line partitions the circle in two segments. Question: What is the area of major segment?2023 (Phase 1)Equation of Circle & its intercept
  61. 61Paragraph: Let and be the end points of the diameter of the sphere Question: What is equal to?2023 (Phase 1)Basics of point in 3 dimension
  62. 62Paragraph: Let and be the end points of the diameter of the sphere Question: If is any point on the sphere, then what is equal to?2023 (Phase 1)Basics of point in 3 dimension
  63. 63Paragraph: Consider two lines whose direction ratios are and . They are inclined at an angle . Question: What is the value of ?2023 (Phase 1)Direction Cosines and Direction Ratios
  64. 64Paragraph: Consider two lines whose direction ratios are and . They are inclined at an angle . Question: What are the direction ratios of a 2023 (Phase 1)Direction Cosines and Direction Ratios
  65. 65Paragraph: Let and . Let be such that and Question: What is equal to?2023 (Phase 1)Product of 2 vectors
  66. 66Paragraph: Let and . Let be such that and Question: What is the angle between and ?2023 (Phase 1)Product of 2 vectors
  67. 67Paragraph: Let a vector make angles with the positive directions of axes respectivelv, Question: What is equal to?2023 (Phase 1)Direction Cosines and Direction Ratios
  68. 68Paragraph: Let a vector make angles with the positive directions of axes respectively. Question: What is equal to?2023 (Phase 1)Direction Cosines and Direction Ratios
  69. 69Paragraph: The position vectors of two points A and B are and respectively. Question: Consider the following points: 1. 2. 3. Which of the a2023 (Phase 1)Line in Space
  70. 70Paragraph: The position vectors of two points A and B are and respectively. Question: What is the magnitude of ?2023 (Phase 1)Algebra of Vectors
  71. 71Paragraph: Let , where are real numbers. Further and Question: What is the value of Q ?2023 (Phase 1)Integration by Substitution
  72. 72Paragraph: Let , where are real numbers. Further and Question: What is the value of R ?2023 (Phase 1)Integration by Substitution
  73. 73Paragraph: Let , where are real numbers. Further and Question: What is equal to?2023 (Phase 1)Formation of Differential Equation
  74. 74Paragraph: Suppose E is the differential equation representing family of curves where c is a positive parameter. Question: What is the order2023 (Phase 1)Order and Degree
  75. 75Paragraph: Suppose E is the differential equation representing family of curves where c is a positive parameter. Question: What is the degre2023 (Phase 1)Order and Degree
  76. 76Paragraph: Question: What is equal to?2023 (Phase 1)Expansion of Determinants
  77. 77Paragraph: Question: What is equal to?2023 (Phase 1)Expansion of Determinants
  78. 78Paragraph: Question: What is equal to?2023 (Phase 1)Expansion of Determinants
  79. 79Paragraph: Let where [.] is a greatest integer function. Question: What is equal to?2023 (Phase 1)Basic Identities & T Ratios
  80. 80Paragraph: Let where [.] is a greatest integer function. Question: What is equal to?2023 (Phase 1)Basic Identities & T Ratios
  81. 81Paragraph: Let and Question: What is the value of ?2023 (Phase 1)Properties of Definite Integration
  82. 82Paragraph: Let and Question: What is the value of ?2023 (Phase 1)Properties of Definite Integration
  83. 83Paragraph: Let and Question: What is the value of ?2023 (Phase 1)Properties of Definite Integration
  84. 84Paragraph: Let Question: What is equal to when ?2023 (Phase 1)Properties of Definite Integration
  85. 85Paragraph: Let Question: What is equal to when ?2023 (Phase 1)Properties of Definite Integration
  86. 86Paragraph: Let Question: What is the derivative of at ?2023 (Phase 1)Differentiation of composite functions
  87. 87Paragraph: Let Question: What is the derivative of at ?2023 (Phase 1)Differentiation of composite functions
  88. 88Paragraph: Let Question: What is the derivative of , where ?2023 (Phase 1)Differentiation of composite functions
  89. 89Paragraph: Let and is continuous. Question: What is the value of ?2023 (Phase 1)Continuity
  90. 90Let and is continuous. Question: What is the value of ?2023 (Phase 1)Continuity
  91. 91Consider the following statements: 1. is increasing in 2. is decreasing in Which of the statements given above is/are correct?2023 (Phase 1)Monotonicity
  92. 92What is the derivative of with respect to ?2023 (Phase 1)Differentiation of composite functions
  93. 93For what value of with , is the area bounded by the lines and equal to 3 ?2023 (Phase 1)Area bounded by two curves
  94. 94What is the derivative of ?2023 (Phase 1)Differentiation of composite functions
  95. 95A solution of the differential equation is2023 (Phase 1)Variable Separable Form
  96. 96If and , then what is equal to?2023 (Phase 1)Composite Function
  97. 97What is the range of the function if the domain is the set of real numbers?2023 (Phase 1)Range
  98. 98If , then what is equal to?2023 (Phase 1)Sum and Difference & Multiple angle Formula
  99. 99What is equal to?2023 (Phase 1)Existance of Limit
  100. 100What is equal to?2023 (Phase 1)Algebraic and Rational Limits
  101. 101The mean and variance of five observations are 14 and 13.2 respectively. Three of the five observations are 11,16 and 20. What are the other2023 (Phase 1)Measures of Dispersion
  102. 102Let and be two independent events such that What is the value of k ?2023 (Phase 1)Independent Events
  103. 103A biased coin with the probability of getting head equal to is tossed five times. What is the probability of getting tail in all the first f2023 (Phase 1)Independent Events
  104. 104A coin is biased so that heads comes up thrice as likely as tails. In four independent tossess of the coin, what is probability of getting e2023 (Phase 1)Bernoulli Trial and Binomial Distribution
  105. 105Let and be two random variables such that . If X follows Binomial distribution with parameters and , what is the variance of ?2023 (Phase 1)Bernoulli Trial and Binomial Distribution
  106. 106If two lines of regression are and , then what is the value of when ?2023 (Phase 1)Basic Forms of Straight Line
  107. 107The central angles and (in degrees) of four sectors in a Pie Chart satisfy the relation . What is the value of ?2023 (Phase 1)Statistics
  108. 108The observations are outputs of 12 dices thrown simultaneously. If and are means of lowest 8 observations and highest 4 observations respect2023 (Phase 1)Mean
  109. 109The bivariate data set contains only two points and ( 3,2 ) What will be the line of regression of y on ?2023 (Phase 1)Statistics
  110. 110A die is thrown 10 times and obtained the following outputs: What will be the mode of data so obtained?2023 (Phase 1)Mode
  111. 111Consider the following frequency distribution: What is the value of median of the distribution?2023 (Phase 1)Median
  112. 112For data ; if M is the median of first 5 observations and is the median of last five observations then what is the value of ?2023 (Phase 1)Median
  113. 113Let represent mean, median and mode. If for some distribution , then what is equal to?2023 (Phase 1)Relation Between Mean, Median and Mode
  114. 114If G is the geometric mean of numbers , then what is the value of ?2023 (Phase 1)Geometric Progression
  115. 115If is the harmonic mean of numbers , , then what is equal to?2023 (Phase 1)Harmonic Progression
  116. 116Let be the median, be the mean and be the mode of observations . Let takes minimum value, when is equal to2023 (Phase 1)Mean Square Deviation
  117. 117One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put i2023 (Phase 1)Total Probability
  118. 118Three dice are thrown. What is the probability that each face shows only multiples of 3 ?2023 (Phase 1)Classical Definition of Probability
  119. 119What is the probability that the month of December has 5 Sundays ?2023 (Phase 1)Classical Definition of Probability
  120. 120A natural number is chosen from the first 50 natural numbers. What is the probability that ?2023 (Phase 1)Classical Definition of Probability

Frequently Asked Questions

1.How many questions are in the NDA 2023 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 2023 Phase 2 paper is listed separately - you can switch to it from the "NDA Paper Wise PYQs" panel, under NDA 2023.

4.What is the structure of the NDA 2023 Phase 1 paper?

The NDA 2023 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 2023 Phase 1 paper?

Each question on MARKS carries a difficulty rating. Of the 270 rated questions in this paper, 134 (50%) are easy, 133 (49%) are medium and 3 (1%) are hard. Subject wise:

  • General Ability: 118 easy, 32 medium, 0 hard
  • Mathematics: 16 easy, 101 medium, 3 hard
6.Which chapters had the most questions in the NDA 2023 Phase 1 paper?

The chapters with the most questions in each subject were:

  • General Ability: English (50), General Science (50), and General Studies (50).
  • Mathematics: Determinants (9), Statistics (9), and Probability (8).
7.Where can I find the solutions for the NDA 2023 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 2023 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 2023 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.