Questions

  1. GATE CS 2026 Set 1MCQ1 markEasy (estimate)

    GATE CS 2026 Set 1, Q.4

    A student needs to enroll for a minimum of 60 credits. A student cannot enroll for more than 70 credits. The credits are divided amongst project and three distinct sets of cours...

    Quantitative Aptitude

  2. GATE CS 2026 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2026 Set 1, Q.10

    An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The proba...

    Quantitative Aptitude

  3. GATE CS 2026 Set 2MCQ1 markEasy (estimate)

    GATE CS 2026 Set 2, Q.3

    A day can only be cloudy or sunny. The probability of a day being cloudy is , independent of the condition on other days. What is the probability that in any given four day...

    Quantitative Aptitude

  4. GATE CS 2026 Set 2MCQ1 markEasy (estimate)

    GATE CS 2026 Set 2, Q.4

    The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80, respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He sells all the stocks...

    Quantitative Aptitude

  5. GATE CS 2026 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2026 Set 2, Q.10

    An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The proba...

    Quantitative Aptitude

  6. GATE CS 2025 Set 1MCQ1 markEasy (estimate)

    GATE CS 2025 Set 1, Q.3

    The average marks obtained by a class in an examination were calculated as . However, while checking the marks entered, the teacher found that the marks of one student wer...

    Quantitative Aptitude

  7. GATE CS 2025 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2025 Set 1, Q.7

    In the diagram, the lines and are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point and line…

    Quantitative Aptitude

  8. GATE CS 2025 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2025 Set 1, Q.8

    A fair six-faced dice, with the faces labelled '1', '2', '3', '4', '5', and '6', is rolled thrice. What is the probability of rolling '6' exactly once?

    Quantitative Aptitude

  9. GATE CS 2025 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2025 Set 1, Q.10

    A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to...

    Quantitative Aptitude

  10. GATE CS 2025 Set 2MCQ1 markEasy (estimate)

    GATE CS 2025 Set 2, Q.3

    If for all real values of , which one of the following statements is true?

    Quantitative Aptitude

  11. GATE CS 2025 Set 2MCQ1 markEasy (estimate)

    GATE CS 2025 Set 2, Q.5

    Let and denote two arbitrary prime numbers. Which one of the following statements is correct for all values of and ?

    Quantitative Aptitude

  12. GATE CS 2025 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2025 Set 2, Q.9

    In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S...

    Spatial Aptitude · Quantitative Aptitude

  13. GATE CS 2024 Set 1MCQ1 markEasy (estimate)

    GATE CS 2024 Set 1, Q.2

    If two distinct non-zero real variables and are such that is proportional to then the value of

    Quantitative Aptitude

  14. GATE CS 2024 Set 1MCQ1 markEasy (estimate)

    GATE CS 2024 Set 1, Q.3

    Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

    Quantitative Aptitude

  15. GATE CS 2024 Set 1MCQ1 markEasy (estimate)

    GATE CS 2024 Set 1, Q.4

    The number of coins of Rs. 1, Rs. 5, and Rs. 10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs. 5 coins is

    Quantitative Aptitude

  16. GATE CS 2024 Set 1MCQ1 markEasy (estimate)

    GATE CS 2024 Set 1, Q.5

    For positive non-zero real variables and , if then, the value of is

    Quantitative Aptitude

  17. GATE CS 2024 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2024 Set 1, Q.7

    A rectangular paper sheet of dimensions is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube wh...

    Quantitative Aptitude

  18. GATE CS 2024 Set 2MCQ1 markEasy (estimate)

    GATE CS 2024 Set 2, Q.2

    Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also dec...

    Quantitative Aptitude · Combinatorics, Counting, Recurrence Relations and Generating Functions

  19. GATE CS 2024 Set 2MCQ1 markEasy (estimate)

    GATE CS 2024 Set 2, Q.3

    In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is ...

    Quantitative Aptitude · Sets, Relations, Functions, Partial Orders and Lattices

  20. GATE CS 2024 Set 2MCQ1 markEasy (estimate)

    GATE CS 2024 Set 2, Q.4

    For positive non-zero real variables and , if then, the value of is

    Quantitative Aptitude

  21. GATE CS 2024 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2024 Set 2, Q.7

    A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

    Quantitative Aptitude

  22. GATE CS 2023MCQ1 markEasy (estimate)

    GATE CS 2023, Q.3

    A series of natural numbers obeys for all integers . If , and , then what is…

    Quantitative Aptitude

  23. GATE CS 2023MCQ2 marksEasy (estimate)

    GATE CS 2023, Q.7

    Consider two functions of time (), where . Now consider the following two statements: (i) For some , . (...

    Quantitative Aptitude

  24. GATE CS 2023MCQ2 marksEasy (estimate)

    GATE CS 2023, Q.9

    and are functions of and , respectively, and for all real values of and . Which one of the following options is necessarily TRUE for al...

    Quantitative Aptitude

  25. GATE CS 2022MCQ1 markEasy (estimate)

    GATE CS 2022, Q.2

    A function is defined in the interval on the -axis as…

    Quantitative Aptitude

  26. GATE CS 2022MCQ1 markMedium (estimate)

    GATE CS 2022, Q.3

    Let be a root of the equation . Then the value of the expression is

    Quantitative Aptitude

  27. GATE CS 2022MCQ2 marksMedium (estimate)

    GATE CS 2022, Q.8

    A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. I...

    Quantitative Aptitude

  28. GATE CS 2021 Set 1MCQ1 markEasy (estimate)

    GATE CS 2021 Set 1, Q.1 (GA Q.1)

    The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is:

    Quantitative Aptitude

  29. GATE CS 2021 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2021 Set 1, Q.6 (GA Q.6)

    We have 2 rectangular sheets of paper, and , of dimensions each. Sheet is rolled to form an open cylinder by bringing the short edges...

    Quantitative Aptitude

  30. GATE CS 2021 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2021 Set 1, Q.7 (GA Q.7)

    Items Cost (₹) Profit % Marked Price (₹) P 5,400 --- 5,860 Q --- 25 10,000 Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P t...

    Quantitative Aptitude

  31. GATE CS 2021 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2021 Set 1, Q.8 (GA Q.8)

    There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is

    Quantitative Aptitude

  32. GATE CS 2021 Set 2MCQ1 markEasy (estimate)

    GATE CS 2021 Set 2, Q.3 (GA Q.3)

    If is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then,

    Quantitative Aptitude

  33. GATE CS 2021 Set 2MCQ1 markEasy (estimate)

    GATE CS 2021 Set 2, Q.4 (GA Q.4)

    If , then the value of is:

    Quantitative Aptitude

  34. GATE CS 2021 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2021 Set 2, Q.8 (GA Q.8)

    The number of students in three classes is in the ratio . If 18 students are added to each class, the ratio changes to . The total number of students in all th...

    Quantitative Aptitude

  35. GATE CS 2020MCQ1 markMedium (estimate)

    GATE CS 2020, Q.5 (GA Q.5)

    There are multiple routes to reach from node 1 to node 2, as shown in the network. Directed graph showing travel routes from node 1 to node 2 through toll booths a, b, c, d, e,...

    Quantitative Aptitude

  36. GATE CS 2020MCQ2 marksEasy (estimate)

    GATE CS 2020, Q.7 (GA Q.7)

    If , , , then

    Quantitative Aptitude

  37. GATE CS 2020MCQ2 marksEasy (estimate)

    GATE CS 2020, Q.9 (GA Q.9)

    Two straight lines are drawn perpendicular to each other in X-Y plane. If and are the acute angles the straight lines make with the X-axis, then…

    Quantitative Aptitude

  38. GATE CS 2019MCQ1 markEasy (estimate)

    GATE CS 2019, Q.3 (GA Q.3)

    Two cars start at the same time from the same location and go in the same direction. The speed of the first car is and the speed of the second car is…

    Quantitative Aptitude

  39. GATE CS 2019MCQ1 markEasy (estimate)

    GATE CS 2019, Q.4 (GA Q.4)

    Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs 150 more. T...

    Quantitative Aptitude

  40. GATE CS 2019MCQ2 marksEasy (estimate)

    GATE CS 2019, Q.7 (GA Q.7)

    In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percent...

    Quantitative Aptitude

  41. GATE CS 2019MCQ2 marksMedium (estimate)

    GATE CS 2019, Q.9 (GA Q.9)

    In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 studen...

    Quantitative Aptitude

  42. GATE CS 2018MCQ1 markEasy (estimate)

    GATE CS 2018, Q.3 (GA Q.3)

    The area of a square is . What is the area of the circle which has the diagonal of the square as its diameter?

    Quantitative Aptitude

  43. GATE CS 2018MCQ1 markEasy (estimate)

    GATE CS 2018, Q.4 (GA Q.4)

    What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?

    Quantitative Aptitude

  44. GATE CS 2018MCQ1 markEasy (estimate)

    GATE CS 2018, Q.5 (GA Q.5)

    What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, _____, 0

    Quantitative Aptitude

  45. GATE CS 2018MCQ2 marksEasy (estimate)

    GATE CS 2018, Q.6 (GA Q.6)

    In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each femal...

    Quantitative Aptitude

  46. GATE CS 2018MCQ2 marksEasy (estimate)

    GATE CS 2018, Q.7 (GA Q.7)

    If and , , , what is the value of the product ?

    Quantitative Aptitude

  47. GATE CS 2018MCQ2 marksEasy (estimate)

    GATE CS 2018, Q.8 (GA Q.8)

    In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be t...

    Quantitative Aptitude

  48. GATE CS 2018MCQ2 marksMedium (estimate)

    GATE CS 2018, Q.9 (GA Q.9)

    In the figure below, is equal to ____________ . Geometric diagram showing points A, B, C, D, E, F with line segments EDA and ABF, and lines EB and FD i...

    Quantitative Aptitude

  49. GATE CS 2018MCQ2 marksMedium (estimate)

    GATE CS 2018, Q.10 (GA Q.10)

    A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

    Quantitative Aptitude

  50. GATE CS 2017 Set 1MCQ1 markEasy (estimate)

    GATE CS 2017 Set 1, Q.59 (GA Q.59)

    Find the smallest number such that is a perfect cube.

    Quantitative Aptitude

  51. GATE CS 2017 Set 1MCQ1 markEasy (estimate)

    GATE CS 2017 Set 1, Q.60 (GA Q.60)

    The probability that a -digit number does NOT contain the digits 0, 5, or 9 is

    Quantitative Aptitude

  52. GATE CS 2017 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2017 Set 1, Q.63 (GA Q.63)

    The expression is equal to

    Quantitative Aptitude

  53. GATE CS 2017 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2017 Set 1, Q.64 (GA Q.64)

    Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta disli...

    Quantitative Aptitude

  54. GATE CS 2017 Set 2MCQ1 markEasy (estimate)

    GATE CS 2017 Set 2, Q.59 (GA Q.4)

    A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks e...

    Quantitative Aptitude

  55. GATE CS 2017 Set 2MCQ1 markEasy (estimate)

    GATE CS 2017 Set 2, Q.60 (GA Q.5)

    There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is

    Quantitative Aptitude

  56. GATE CS 2017 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2017 Set 2, Q.63 (GA Q.8)

    is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number will have

    Quantitative Aptitude

  57. GATE CS 2017 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2017 Set 2, Q.64 (GA Q.9)

    The number of roots of in the range is

    Quantitative Aptitude · Calculus

  58. GATE CS 2016 Set 1MCQ2 marksEasy (estimate)

    GATE CS 2016 Set 1, Q.9 (GA Q.9)

    If , which of the following is a factor of ?

    Quantitative Aptitude

  59. GATE CS 2016 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2016 Set 1, Q.10 (GA Q.10)

    In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved,...

    Quantitative Aptitude

  60. GATE CS 2016 Set 2MCQ1 markEasy (estimate)

    GATE CS 2016 Set 2, Q.5 (GA Q.5)

    In a quadratic function, the value of the product of the roots is 4. Find the value of

    Quantitative Aptitude

  61. GATE CS 2016 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2016 Set 2, Q.6 (GA Q.6)

    Among 150 faculty members in an institute, 55 are connected with each other through Facebook and 85 are connected through WhatsApp. 30 faculty members do not have Facebook or Wh...

    Quantitative Aptitude

  62. GATE CS 2016 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2016 Set 2, Q.9 (GA Q.9)

    In a rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? A 2 by 4 rectangular grid consisting of 2 rows and 4 col...

    Quantitative Aptitude

  63. GATE CS 2016 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2016 Set 2, Q.10 (GA Q.10)

    Choose the correct expression for given in the graph. Cartesian coordinate plot of function f(x) against x. The horizontal x-axis ranges from -4 to 3 with integer tick ma...

    Quantitative Aptitude

  64. GATE CS 2015 Set 1MCQ1 markEasy (estimate)

    GATE CS 2015 Set 1, Q.3 (GA Q.3)

    Given Set and Set , two numbers are randomly selected, one from each set. What is the probability that the sum of the two number...

    Quantitative Aptitude

  65. GATE CS 2015 Set 1MCQ2 marksMedium (estimate)

    GATE CS 2015 Set 1, Q.10 (GA Q.10)

    The probabilities that a student passes in Mathematics, Physics and Chemistry are and respectively. Of these subjects, the student has chance of passing in at...

    Quantitative Aptitude

  66. GATE CS 2015 Set 2MCQ1 markEasy (estimate)

    GATE CS 2015 Set 2, Q.3 (GA Q.3)

    Consider a function on . The value of at which the function attains a maximum, and the maximum value of the function are:

    Quantitative Aptitude

  67. GATE CS 2015 Set 2MCQ2 marksEasy (estimate)

    GATE CS 2015 Set 2, Q.6 (GA Q.6)

    If the list of letters, is an arithmetic sequence, which of the following are also in arithmetic sequence? I. II.…

    Quantitative Aptitude

  68. GATE CS 2015 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2015 Set 2, Q.8 (GA Q.8)

    In a triangle , is the angle bisector of and . What is the length of ? Triangle PQR with angle bisector PS and side lengths p,...

    Quantitative Aptitude

  69. GATE CS 2015 Set 3MCQ1 markEasy (estimate)

    GATE CS 2015 Set 3, Q.5 (GA Q.5)

    A function is linear and has a value of 29 at and 39 at . Find its value at .

    Quantitative Aptitude

  70. GATE CS 2015 Set 3MCQ2 marksMedium (estimate)

    GATE CS 2015 Set 3, Q.8 (GA Q.8)

    Choose the most appropriate equation for the function drawn as a thick line, in the plot below. Plot of function with a ray along the positive y-axis and a ray through (2, -1) i...

    Quantitative Aptitude

  71. GATE CS 2014 Set 1NAT1 markEasy (estimate)

    GATE CS 2014 Set 1, Q.4 (GA Q.4)

    If , compute .

    Quantitative Aptitude

  72. GATE CS 2014 Set 1MCQ1 markMedium (estimate)

    GATE CS 2014 Set 1, Q.5 (GA Q.5)

    The roots of are real and positive. , and are real. Then has

    Quantitative Aptitude

  73. GATE CS 2014 Set 1NAT2 marksEasy (estimate)

    GATE CS 2014 Set 1, Q.8 (GA Q.8)

    Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the...

    Quantitative Aptitude

  74. GATE CS 2014 Set 2MCQ1 markEasy (estimate)

    GATE CS 2014 Set 2, Q.4 (GA Q.4)

    What is the average of all multiples of 10 from 2 to 198?

    Quantitative Aptitude

  75. GATE CS 2014 Set 2MCQ1 markEasy (estimate)

    GATE CS 2014 Set 2, Q.5 (GA Q.5)

    The value of is

    Quantitative Aptitude

  76. GATE CS 2014 Set 2MCQ2 marksMedium (estimate)

    GATE CS 2014 Set 2, Q.8 (GA Q.8)

    If is real and , then possible values of include

    Quantitative Aptitude

  77. GATE CS 2014 Set 3MCQ2 marksMedium (estimate)

    GATE CS 2014 Set 3, Q.8 (GA Q.8)

    The Gross Domestic Product (GDP) in Rupees grew at 7% during 2012-2013. For international comparison, the GDP is compared in US Dollars (USD) after conversion based on the marke...

    Quantitative Aptitude

  78. GATE CS 2014 Set 3MCQ2 marksEasy (estimate)

    GATE CS 2014 Set 3, Q.10 (GA Q.10)

    Consider the equation: , where stands for to the base . Find .

    Quantitative Aptitude

  79. GATE CS 2013MCQ1 markEasy (estimate)

    GATE CS 2013, Q.58 (GA Q.58)

    What will be the maximum sum of ?

    Quantitative Aptitude

  80. GATE CS 2013MCQ2 marksEasy (estimate)

    GATE CS 2013, Q.61 (GA Q.61)

    Find the sum of the expression

    Quantitative Aptitude

  81. GATE CS 2013MCQ2 marksEasy (estimate)

    GATE CS 2013, Q.62 (GA Q.62)

    Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?

    Quantitative Aptitude

  82. GATE CS 2013MCQ2 marksEasy (estimate)

    GATE CS 2013, Q.64 (GA Q.64)

    A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h duri...

    Quantitative Aptitude

  83. GATE CS 2013MCQ2 marksEasy (estimate)

    GATE CS 2013, Q.65 (GA Q.65)

    The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current pe...

    Quantitative Aptitude

  84. GATE CS 2012MCQ1 markEasy (estimate)

    GATE CS 2012, Q.56 (GA Q.56)

    The cost function for a product in a firm is given by , where is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The numbe...

    Quantitative Aptitude

  85. GATE CS 2012MCQ2 marksEasy (estimate)

    GATE CS 2012, Q.62 (GA Q.62)

    A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation wher...

    Quantitative Aptitude

  86. GATE CS 2012MCQ2 marksMedium (estimate)

    GATE CS 2012, Q.63 (GA Q.63)

    An automobile plant contracted to buy shock absorbers from two suppliers and . supplies 60% and supplies 40% of the shock absorbers. All shock absorbers are subje...

    Quantitative Aptitude

  87. GATE CS 2012MCQ2 marksEasy (estimate)

    GATE CS 2012, Q.64 (GA Q.64)

    Which of the following assertions are CORRECT? : Adding 7 to each entry in a list adds 7 to the mean of the list : Adding 7 to each entry in a list adds 7 to the standard...

    Quantitative Aptitude

  88. GATE CS 2011MCQ1 markEasy (estimate)

    GATE CS 2011, Q.57 (GA Q.57)

    If , then which of the following options is TRUE?

    Quantitative Aptitude

  89. GATE CS 2011MCQ2 marksEasy (estimate)

    GATE CS 2011, Q.63 (GA Q.63)

    The variable cost () of manufacturing a product varies according to the equation , where is the quantity produced. The fixed cost () of production of same prod...

    Quantitative Aptitude

  90. GATE CS 2011MCQ2 marksMedium (estimate)

    GATE CS 2011, Q.64 (GA Q.64)

    A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he...

    Quantitative Aptitude

  91. GATE CS 2011MCQ2 marksEasy (estimate)

    GATE CS 2011, Q.65 (GA Q.65)

    A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again...

    Quantitative Aptitude

Other topics of General Aptitude