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GATE CSE
Numerical Ability
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Previous Years Questions
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Marks 1
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A plot of land must be divided between four families. They want their individual plots to be similar in shape, not neces...
GATE CSE 2022
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The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not ...
GATE CSE 2022
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A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange colo...
GATE CSE 2022
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In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constitut...
GATE CSE 2022
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Let r be a root of the equation x2 + 2x + 6 = 0. Then the value of the expression (r + 2) (r + 3) (r + 4) (r + 5) is...
GATE CSE 2022
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A function y(x) is defined in the interval [0, 1] on the x-axis as $$y(x) = \left\{ \matrix{ 2\,if\,0 \le x Which one...
GATE CSE 2022
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If $$\theta$$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, t...
GATE CSE 2021 Set 2
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If $${\left( {x - {1 \over 2}} \right)^2} - {\left( {x - {3 \over 2}} \right)^2} = x + 2$$, then the value of x is :
GATE CSE 2021 Set 2
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The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of st...
GATE CSE 2021 Set 1
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There are multiple routes to reach from node 1 to node 2, as shown in the network. The cost of travel on an edge betwee...
GATE CSE 2020
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Two cars start at the same time from the same location and go in the same direction. The speed of the first car is 50 Km...
GATE CSE 2019
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Ten freiends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contr...
GATE CSE 2019
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What would be the smallest natural number which when divided either by $$20$$ or by $$42$$ or by $$76$$ leaves a remaind...
GATE CSE 2018
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What is the missing number in the following sequence? $$$2,\,12,\,60,\,240,\,720,\,1440,\,\_\_\_,\,0$$$
GATE CSE 2018
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What would be the smallest natural number which when divided either by $$20$$ or by $$42$$ or by $$76$$ leaves a remaind...
GATE CSE 2018
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The area of a square is $$𝑑.$$ What is the area of the circle which has the diagonal of the square as its diameter?
GATE CSE 2018
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In a $$2 \times 4$$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the gri...
GATE CSE 2016 Set 2
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Choose the correct expression for $$f(x)$$ given in the graph. ...
GATE CSE 2016 Set 2
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Among $$150$$ faculty members in an institute, $$55$$ are connected with each other through Facebook® and $$85$$ are con...
GATE CSE 2016 Set 2
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In a quadratic function, the value of the product of the roots $$\left( {\alpha ,\beta } \right)$$ is $$4.$$ Find the va...
GATE CSE 2016 Set 2
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A cube is built using $$64$$ cubic blocks of side one unit. After it is built, one cubic block is removed from every cor...
GATE CSE 2016 Set 1
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Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certai...
GATE CSE 2015 Set 1
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Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What ...
GATE CSE 2015 Set 1
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Marks 2
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The number of units of a product sold in three different years and the respective net profits are presented in the figu...
GATE CSE 2021 Set 2
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The number of student in three classes is in the ratio 3 : 13 : 6. If 18 students are added to each class, the ratio cha...
GATE CSE 2021 Set 2
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Items Cost Profit% Marked price P 5400 - 5860 Q - 25 ...
GATE CSE 2021 Set 1
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We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm $$\times$$ 1 cm each. Sheet M is rolled to form an op...
GATE CSE 2021 Set 1
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There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The...
GATE CSE 2021 Set 1
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The total revenue of a company during 2014-2018 is shown in the bar graph. If the total expenditure of the company in ea...
GATE CSE 2020
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The figure below shows an annular ring with outer and inner radii as b and a, respectively. The annular space has been p...
GATE CSE 2020
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Two straight lines are drawn perpendicular to each other in X-Y plane. If $$\alpha $$ and $$\beta $$ are the acute angle...
GATE CSE 2020
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If P = 3, R = 27, T = 243, then Q + S = ______.
GATE CSE 2020
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In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rect...
GATE CSE 2019
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Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vaca...
GATE CSE 2019
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In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Danc...
GATE CSE 2019
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In a party, $$60\% $$ of the invited guests are male and $$400\% $$ are female. If $$80\% $$ of the invited guests atten...
GATE CSE 2018
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A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinati...
GATE CSE 2018
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In the figure below, $$∠𝐷𝐸𝐶 + ∠𝐵𝐹𝐶$$ is equal to ____________ . ...
GATE CSE 2018
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If $$pqr \ne 0$$ and $${p^{ - x}} = {1 \over q},{q^{ - y}} = {1 \over r},\,{r^{ - z}} = {1 \over p},$$ what is the value...
GATE CSE 2018
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In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs $$750$$ to e...
GATE CSE 2018
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In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $$80$$ unit...
GATE CSE 2016 Set 1
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If $$f\left( x \right) = 2{x^7} + 3x - 5,$$ which of the following is a factor of $$f(x)$$?
GATE CSE 2016 Set 1
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A shaving set company sells $$4$$ different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs....
GATE CSE 2016 Set 1
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The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option....
GATE CSE 2015 Set 1
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The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are l...
GATE CSE 2015 Set 1
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The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these sub...
GATE CSE 2015 Set 1
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The pie chart below has the breakup of the number of students from different departments in an engineering college for t...
GATE CSE 2015 Set 1
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