# Numerical Ability · General Aptitude · GATE CSE

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## Marks 1

GATE CSE 2024 Set 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 pos...
GATE CSE 2024 Set 2
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 br...
GATE CSE 2024 Set 2
For positive non-zero real variables $x$ and $y$, if $\ln \left( \frac{x + y}{2} \right) = \frac{1}{2} [ \ln (x) + \ln (y) ]$ then, the value of $\fra... GATE CSE 2024 Set 2 In the sequence 6, 9, 14,$x$, 30, 41, a possible value of$x$is GATE CSE 2024 Set 1 Consider the following sample of numbers:9, 18, 11, 14, 15, 17, 10, 69, 11, 13The median of the sample is GATE CSE 2024 Set 1 The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coi... GATE CSE 2024 Set 1 If two distinct non-zero real variables$x$and$y$are such that$(x + y)$is proportional to$(x - y)$then the value of$\frac{x}{y}$GATE CSE 2024 Set 1 For positive non-zero real variables$p$and$q$, if$\log \left(p^2 + q^2\right) = \log p + \log q + 2 \log 3$,then, the value of$\frac{p^4 + q^4}{p^...
GATE CSE 2023
A series of natural numbers $$F_1,F_2,F_3,F_4,F_5,F_6,F_7,\,.....$$ obeys $$F_{n+1}=F_n+F_{n-1}$$ for all integers $$n\ge2$$. If $$F_6=37$$, and $$F_7... GATE CSE 2022 A function y(x) is defined in the interval [0, 1] on the x-axis as$$y(x) = \left\{ \matrix{ 2\,if\,0 \le x Which one of the following is the area ...
GATE CSE 2022
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 2021 Set 2
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
If $$\theta$$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then cos $$\theta$$ = _______
GATE CSE 2021 Set 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 :
GATE CSE 2019
Ten freiends 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 frien...
GATE CSE 2019
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 CSE 2018
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
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 CSE 2018
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 CSE 2016 Set 2
In a quadratic function, the value of the product of the roots $$\left( {\alpha ,\beta } \right)$$ is $$4.$$ Find the value of $${{{\alpha ^n} + {\b... GATE CSE 2016 Set 2 Among$$150$$faculty members in an institute,$$55$$are connected with each other through Facebook® and$$85$$are connected through WhatsApp®.$$30...
GATE CSE 2016 Set 2
Choose the correct expression for $$f(x)$$ given in the graph. ...
GATE CSE 2016 Set 2
In a $$2 \times 4$$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? ...
GATE CSE 2016 Set 1
A cube is built using $$64$$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting...
GATE CSE 2015 Set 1
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 probability that the sum of...

## Marks 2

GATE CSE 2024 Set 2
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 p...
GATE CSE 2024 Set 2
The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023...
GATE CSE 2024 Set 1
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tub...
GATE CSE 2024 Set 1
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Macronutrient energy contribu...
GATE CSE 2024 Set 1
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. Th...
GATE CSE 2024 Set 1
The least number of squares to be added in the figure to make AB a line of symmetry is...
GATE CSE 2023
Consider two functions of time (t), $$f(t)=0.01\,t^2$$ $$g(t)=4\,t$$ where $$0 Now consider the following two statements : (i) For some$$t > 0,g(t) ...
GATE CSE 2023
$$f(x)$$ and $$g(y)$$ are functions of x and y, respectively, and $$f(x)=g(y)$$ for all real values of x and y. Which one of the following options is ...
GATE CSE 2022
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 fr...
GATE CSE 2021 Set 2
The number of student in three classes is in the ratio 3 : 13 : 6. If 18 students are added to each class, the ratio changes to 15 : 35 : 21.The total...
GATE CSE 2021 Set 2
The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in yea...
GATE CSE 2021 Set 1
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...
GATE CSE 2021 Set 1
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 open cylinder by bringing the sh...
GATE CSE 2021 Set 1
Items Cost Profit% Marked price P 5400 - 5860 Q - 25 10000 Details of prices of...
GATE CSE 2020
Two straight lines are drawn perpendicular to each other in X-Y plane. If $$\alpha$$ and $$\beta$$ are the acute angles the straight lines make with...
GATE CSE 2020
The figure below shows an annular ring with outer and inner radii as b and a, respectively. The annular space has been painted in the form of blue col...
GATE CSE 2020
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,...
GATE CSE 2019
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 i...
GATE CSE 2018
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 CSE 2018
If $$pqr \ne 0$$ and $${p^{ - x}} = {1 \over q},{q^{ - y}} = {1 \over r},\,{r^{ - z}} = {1 \over p},$$ what is the value of the product $$𝑥𝑦𝑧$$?
GATE CSE 2018
In a party, $$60\%$$ of the invited guests are male and $$400\%$$ are female. If $$80\%$$ of the invited guests attended the party and if all the i...
GATE CSE 2018
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 CSE 2016 Set 1
A shaving set company sells $$4$$ different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. $$48,$$ Smooth at Rs. $$63,$$...
GATE CSE 2016 Set 1
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
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...
GATE CSE 2015 Set 1
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 o...
GATE CSE 2015 Set 1
The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% cha...
GATE CSE 2015 Set 1
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 ...
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