GATE General Aptitude: Quantitative Aptitude: Probability and Combinatorics – Previous Year Questions
34 GATE previous year questions on Quantitative Aptitude: Probability and Combinatorics (General Aptitude, Aptitude) with answers and explanations, from every paper.
- GATE 2025 ME Q5 – P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches.…
- GATE 2025 ME Q10 – A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of…
- GATE 2017 EE Q5 – The probability that a k-digit number does NOT contain the digits 0, 5, or 9 is
- GATE 2017 EE Q9 – 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…
- GATE 2017 EC Q9 – There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one…
- GATE 2017 CS Q5 – The probability that a k-digit number does NOT contain the digits 0, 5, or 9 is
- GATE 2017 CS Q9 – 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…
- GATE 2015 EE Q5 – Given Set A = \2, 3, 4, 5\ and Set B = \11, 12, 13, 14, 15\, two numbers are randomly selected, one from each set. What is the probability that the…
- GATE 2015 EE Q9 – The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75%…
- GATE 2016 EC Q6 – A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the…
- GATE 2016 EE Q9 – In a 2 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
- GATE 2015 CS Q5 – Given Set A = \2, 3, 4, 5\ and Set B = \11, 12, 13, 14, 15\, two numbers are randomly selected, one from each set. What is the probability that the…
- GATE 2015 CS Q9 – The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75%…
- GATE 2018 CS Q10 – 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…
- GATE 2019 CS Q9 – 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…
- GATE 2018 EE Q6 – An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character…
- GATE 2018 EE Q8 – A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a…
- GATE 2019 EE Q6 – How many integers are there between 100 and 1000 all of whose digits are even?
- GATE 2018 EC Q9 – A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. (i) 85% of cabs…
- GATE 2019 EC Q4 – Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second, respectively from the right…
- GATE 2020 EE Q5 – If P,Q,R,S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?
- GATE 2020 EE Q8 – In four-digit integer numbers from 1001 to 9999, the digit group "37" (in the same sequence) appears times.
- GATE 2021 EE Q8 – Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0,100] degree Celsius and let the probability…
- GATE 2022 EE Q7 – There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any…
- GATE 2023 EE Q3 – Given a fair six-faced dice where the faces are labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, what is the probability of getting a ‘1’ on the first roll…
- GATE 2025 EE Q9 – Spheres of unit diameter are centered at (l,m,n) where l, m, and n take every possible integer values. The distance between two spheres is computed…
- GATE 2023 EC Q9 – Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities…
- GATE 2025 CS (CS1) Q8 – 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…
- GATE 2025 CS (CS1) Q10 – 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…
- GATE 2024 CS (CS2) Q2 – 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…
- GATE 2024 CS (CS2) Q3 – 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…
- GATE 2024 CS (CS1) Q3 – Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. The median of the sample is
- GATE 2022 CS Q8 – 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…
- GATE 2021 CS Q8 – There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least…