GATE General Aptitude: Quantitative Aptitude: Arithmetic and Number Computation – Previous Year Questions
144 GATE previous year questions on Quantitative Aptitude: Arithmetic and Number Computation (General Aptitude, Aptitude) with answers and explanations, from every paper.
- GATE 2026 XH5 (Psychology) Q4 – How many 3-digit numbers can be formed using three distinct single digit prime numbers?
- GATE 2026 XH5 (Psychology) Q5 – In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like…
- GATE 2026 XH2 (English) Q4 – How many 3-digit numbers can be formed using three distinct single digit prime numbers?
- GATE 2026 XH2 (English) Q5 – In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like…
- GATE 2025 XH5 (Psychology) Q9 – The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze…
- GATE 2025 XH5 (Psychology) Q10 – An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20%…
- GATE 2025 XH2 (English) Q9 – The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze…
- GATE 2025 XH2 (English) Q10 – An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20%…
- GATE 2024 XH5 (Psychology) Q4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- GATE 2024 XH5 (Psychology) Q5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- GATE 2024 XH5 (Psychology) Q8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- GATE 2024 XH2 (English) Q4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- GATE 2024 XH2 (English) Q5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- GATE 2024 XH2 (English) Q8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- GATE 2023 XH5 (Psychology) Q9 – The digit in the unit’s place of the product 71000 3999 is .
- GATE 2023 XH2 (English) Q9 – The digit in the unit’s place of the product 71000 3999 is .
- GATE 2022 XH5 (Psychology) Q3 – Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate…
- GATE 2022 XH2 (English) Q3 – Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate…
- GATE 2022 ME (ME1) Q2 – The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹…
- GATE 2022 ME (ME1) Q3 – A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform…
- GATE 2022 ME (ME1) Q10 – In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in…
- GATE 2022 CH Q3 – Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate…
- GATE 2022 CH Q7 – A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes.…
- GATE 2023 CH Q7 – To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of…
- GATE 2024 CH Q4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- GATE 2024 CH Q5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- GATE 2024 CH Q7 – Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are…
- GATE 2024 CH Q8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- GATE 2024 CH Q10 – During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the…
- GATE 2023 CE (CE1) Q7 – Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function),…
- GATE 2024 CE (CE2) Q4 – If the sum of the first 20 consecutive positive odd numbers is divided by 202, the result is
- GATE 2024 CE (CE1) Q4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- GATE 2024 CE (CE1) Q5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- GATE 2024 CE (CE1) Q7 – Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are…
- GATE 2024 CE (CE1) Q8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- GATE 2024 CE (CE1) Q10 – During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the…
- GATE 2025 CE (CE2) Q3 – An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what…
- GATE 2025 CE (CE2) Q9 – A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the…
- GATE 2023 ME Q3 – A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is…
- GATE 2023 ME Q4 – The minute-hand and second-hand of a clock cross each other times between 09:15:00 AM and 09:45:00 AM on a day.
- GATE 2023 ME Q9 – How many pairs of sets (S,T) are possible among the subsets of 1, 2, 3, 4, 5, 6 that satisfy the condition that S is a subset of T?
- GATE 2024 DA Q3 – How many 4-digit positive integers divisible by 3 can be formed using only the digits 1, 3, 4, 6, 7, such that no digit appears more than once in a…
- GATE 2024 DA Q5 – In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of…
- GATE 2024 DA Q7 – The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one…
- GATE 2024 DA Q8 – Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. Mutual…
- GATE 2025 CH Q7 – Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are…
- GATE 2026 CH Q4 – How many 3-digit numbers can be formed using three distinct single digit prime numbers?
- GATE 2026 CH Q5 – In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like…
- GATE 2025 DA Q3 – A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U 4 is: 0 1 0 2 --- --- --- --- 4 7 3 3 5 5 4 4 6 7…
- GATE 2025 DA Q10 – The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(X - 0.2),…
- GATE 2026 DA Q2 – The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is
- GATE 2026 DA Q7 – Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.…
- GATE 2026 DA Q9 – P, Q, R, S, X, and Y are distinct single-digit whole numbers taking values from 0 to 9. PQ is a two-digit number with Q being in the units place and P…
- GATE 2024 ME Q3 – In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21, ...
- GATE 2024 ME Q5 – Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land…
- GATE 2024 ME Q7 – How many combinations of non-null sets A, B, C are possible from the subsets of 2, 3, 5 satisfying the conditions: (i) A is a subset of B, and (ii) B…
- GATE 2024 ME Q8 – The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years,…
- GATE 2025 CE (CE1) Q7 – Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are…
- GATE 2026 CE (CE2) Q7 – The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of…
- GATE 2026 CE (CE1) Q10 – P and Q are two positive integers such that P2 = Q2 + 13. The product of the numbers P and Q is
- GATE 2025 ME Q3 – Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h.…
- GATE 2026 ME Q7 – The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of…
- GATE 2017 EE Q4 – Find the smallest number y such that y 162 is a perfect cube.
- GATE 2017 EC Q3 – In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases…
- GATE 2017 EC Q4 – 40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is
- GATE 2017 EC Q8 – Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m…
- GATE 2017 CS Q4 – Find the smallest number y such that y 162 is a perfect cube.
- GATE 2015 EE Q8 – The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion…
- GATE 2015 EE Q10 – The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The…
- GATE 2015 EC Q4 – Operators , and are defined by: a b = a - ba + b; a b = a + ba - b; a b = ab. Find the value of (66 6) (66 6).
- GATE 2016 EC Q4 – In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe…
- GATE 2016 EC Q10 – P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working…
- GATE 2016 EE Q6 – Among 150 faculty members in an institute, 55 are connected with each other through Facebook® and WhatsApp® accounts, 85 are connected through…
- GATE 2016 CS Q6 – A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs.…
- GATE 2015 CS Q8 – The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion…
- GATE 2015 CS Q10 – The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The…
- GATE 2018 CS Q4 – 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?
- GATE 2018 CS Q5 – What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, , 0
- GATE 2018 CS Q6 – 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…
- GATE 2018 CS Q8 – 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…
- GATE 2019 CS Q3 – Two cars start at the same time from the same location and go in the same direction. The speed of the first car is 50 km/h and the speed of the second…
- GATE 2019 CS Q4 – 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…
- GATE 2019 CS Q7 – In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number…
- GATE 2018 EE Q4 – For what values of k given below is (k+2)2k-3 an integer?
- GATE 2018 EE Q5 – Functions F(a,b) and G(a,b) are defined as follows: F(a,b)=(a-b)2 and G(a,b)= a-b , where x represents the absolute value of x. What would be the…
- GATE 2018 EE Q9 – A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below…
- GATE 2019 EE Q3 – The missing number in the given sequence 343, 1331, , 4913 is
- GATE 2019 EE Q4 – It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work…
- GATE 2019 EE Q7 – The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is…
- GATE 2018 EC Q3 – If the number 715■423 is divisible by 3 (■ denotes the missing digit in the thousandths place), then the smallest whole number in the place of ■ is .
- GATE 2018 EC Q4 – What is the value of 1+14+116+164+1256+?
- GATE 2018 EC Q6 – Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers…
- GATE 2018 EC Q7 – Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an…
- GATE 2019 EC Q3 – It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work…
- GATE 2019 EC Q7 – The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The proportions of males and females in 2001 and 2011…
- GATE 2019 EC Q9 – Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped…
- GATE 2020 EE Q6 – Non-performing Assets (NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of…
- GATE 2020 EE Q10 – The revenue and expenditure of four different companies P, Q, R and S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20%…
- GATE 2021 EE Q4 – Which one of the following numbers is exactly divisible by (1113+1)?
- GATE 2021 EE Q9 – The number of students passing or failing in an exam for a particular subject are presented in the bar chart above. Students who pass the exam cannot…
- GATE 2022 EE Q2 – In a 500 m race, P and Q have speeds in the ratio of 3:4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in…
- GATE 2022 EE Q3 – Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes. If…
- GATE 2022 EE Q8 – The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges ₹150 for delivery. There are…
- GATE 2020 EC Q10 – The following figure shows the data of students enrolled in 5 years (2014 to 2018) for two schools P and Q. During this period, the ratio of the…
- GATE 2021 EC Q1 – The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?
- GATE 2021 EC Q9 – The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above. The number of days in the…
- GATE 2022 EC Q2 – A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets ₹ 1000 more than S, what is the…
- GATE 2023 EE Q9 – The digit in the unit’s place of the product 399971000 is .
- GATE 2024 EE Q3 – The decimal number system uses the characters 0, 1, 2, …, 8, 9, and the octal number system uses the characters 0, 1, 2, …, 6, 7. For example, the…
- GATE 2024 EE Q4 – A shopkeeper buys shirts from a producer and sells them at 20% profit. A customer has to pay ₹3,186.00 including 18% taxes, per shirt. At what price…
- GATE 2024 EE Q8 – The chart below shows the data of the number of cars bought by Millennials and Gen X people in a country from the year 2010 to 2020 as well as the…
- GATE 2025 EE Q5 – What is the value of (381274)13 ?
- GATE 2025 EE Q8 – Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the…
- GATE 2026 EE Q8 – Based on the relationship between each polygon and the number inside it, the value of ‘X’ is .
- GATE 2026 EE Q10 – P and Q are two positive integers such that P2=Q2+13. The product of the numbers P and Q is .
- GATE 2023 EC Q3 – What is the smallest number with distinct digits whose digits add up to 45?
- GATE 2023 EC Q4 – In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like…
- GATE 2024 EC Q3 – Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when…
- GATE 2024 EC Q4 – For a real number x>1, 1 2x+1 3x+1 4x=1 The value of x is
- GATE 2024 EC Q5 – The greatest prime factor of (3199-3196) is
- GATE 2024 EC Q8 – The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023. Based…
- GATE 2025 EC Q3 – The 12 musical notes are given as C, C\#, D, D\#, E, F, F\#, G, G\#, A, A\#, and B. Frequency of each note is [12]2 times the frequency of the…
- GATE 2025 EC Q4 – The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after ‘Iteration n’ is: Note:…
- GATE 2025 EC Q9 – The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze…
- GATE 2025 EC Q10 – An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20%…
- GATE 2026 EC Q8 – Let P k represent the perimeter of a square with sides of length k. The value of the expression P 1 + P 2 + P 3 + + P 10 is .
- GATE 2026 CS (CS2) Q3 – A day can only be cloudy or sunny. The probability of a day being cloudy is 0.5, independent of the condition on other days. What is the probability…
- GATE 2026 CS (CS2) Q4 – 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…
- GATE 2026 CS (CS2) Q10 – An unbiased six-faced die 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…
- GATE 2026 CS (CS1) Q3 – Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every…
- GATE 2026 CS (CS1) Q4 – 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…
- GATE 2026 CS (CS1) Q8 – For positive real numbers S and K, the function H K(S) is defined as H K(S) = (S - K, 0). A function N(S) of S is plotted, where N(S) = 0 for S 10,…
- GATE 2026 CS (CS1) Q10 – 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…
- GATE 2025 CS (CS2) Q5 – Let p 1 and p 2 denote two arbitrary prime numbers. Which one of the following statements is correct for all values of p 1 and p 2?
- GATE 2025 CS (CS2) Q8 – Which one of the following options is correct for the given data in the table? Iteration (i) 0 1 2 3 --- --- --- --- --- Input (I) 20 -4 10 15 Output…
- GATE 2025 CS (CS1) Q3 – The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the…
- GATE 2024 CS (CS2) Q7 – 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…
- GATE 2024 CS (CS2) Q8 – The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 (Coal…
- GATE 2024 CS (CS1) Q4 – The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5…
- GATE 2024 CS (CS1) Q8 – The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person (Carbohydrates 35%, Proteins…
- GATE 2022 CS Q7 – In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates…
- GATE 2021 CS Q1 – 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:
- GATE 2021 CS Q7 – Details of prices of two items P and Q are presented in the table: P has cost ₹5,400, marked price ₹5,860; Q has profit 25%, marked price ₹10,000…
- GATE 2020 CS Q10 – The total revenue of a company during 2014-2018 is shown in the bar graph. If the total expenditure of the company in each year is 500 million rupees,…