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GATE IN 2019 | GA | Question: 10
“I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the pres...
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GATE IN 2023 | GA | Question: 10
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of...
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GATE IN 2023 | GA | Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...
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GATE IN 2023 | GA | Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...
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GATE IN 2023 | GA | Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
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GATE IN 2023 | GA | Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
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GATE IN 2023 | GA | Question: 2
Disagree : Protest: : Agree: __________(By word meaning)RefusePretextRecommendRefute
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GATE IN 2023 | GA | Question: 1
The village was nestled in a green spot, __________ the ocean and the hills.throughin atbetween
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GATE IN 2019 | GA | Question: 3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
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GATE IN 2019 | GA | Question: 7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
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GATE IN 2019 | GA | Question: 8
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were ...
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GATE IN 2019 | GA | Question: 4
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below:No two odd or even numbers are next to each other...
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GATE IN 2019 | GA | Question: 9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
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GATE IN 2019 | GA | Question: 1
The fisherman, ________ the flood victims owed their lives, were rewarded by the government.whomto whichto whomthat
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GATE IN 2019 | GA | Question: 6
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest r...
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GATE IN 2019 | GA | Question: 2
Some students were not involved in the strike.If the above statement is true, which of the following conclusions is/are logically necessary?Some who were involved in the ...
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GATE IN 2024 | GA | Question: 1
​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\right...
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GATE IN 2024 | GA | Question: 2
​​​​Statements:All heroes are winners.All winners are lucky people.Inferences:All lucky people are heroes.Some lucky people are heroes.Some winners are heroes.Which of th...
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GATE IN 2024 | GA | Question: 3
​​​A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error i...
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GATE IN 2024 | GA | Question: 4
​​​​​If the sum of the first $20$ consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
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GATE IN 2024 | GA | Question: 5
​​​​The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of stud...
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GATE IN 2024 | GA | Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Yoko Roi stands _$\text{(i)}$_ as an author for standing _$\text{(i...
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GATE IN 2024 | GA | Question: 7
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...
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GATE IN 2024 | GA | Question: 8
​​​​The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which on...
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GATE IN 2024 | GA | Question: 9
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction $X$, the planar image of the assembly appears as Figure...
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GATE IN 2024 | GA | Question: 10
​​​​Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. ...
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GATE IN 2021 | GA | Question: 1
Getting to the top is ______________ than staying on top.more easymuch easyeasiesteasier
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GATE IN 2021 | GA | Question: 2
The mirror image of the above text about the $\text{X}$-axis is
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GATE IN 2021 | GA | Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
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GATE IN 2021 | GA | Question: 4
​​​​​​​$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}...
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GATE IN 2021 | GA | Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ ca...
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GATE IN 2021 | GA | Question: 6
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$Among the options below, the logical $\text{NEGATION}$ of the above statement is ...
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GATE IN 2021 | GA | Question: 7
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each.$\text{Folding operation 1}$ : The sheet is folded into hal...
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GATE IN 2021 | GA | Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
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GATE IN 2021 | GA | Question: 9
A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{...
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GATE IN 2021 | GA | Question: 10
Humans have the ability to construct worlds entirely in their minds, which don't exist in the physical world. So far as we know, no other species possesses this ability. ...
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GATE IN 2021 | Question: 1
Consider the row vectors $v=(1,0)$ and $w=(2,0)$. The rank of the matrix $M=2v^{T}v+3w^{T}w$, where the superscript $\text{T}$ denotes the transpose, is$1$$2$$3$$4$
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GATE IN 2021 | Question: 2
Consider the sequence $x_{n}=0.5x_{n-1}+1,n=1,2, \dots \:\dots$ with $x_0=0$ . Then $\displaystyle \lim_{n\rightarrow \infty} x_n$ is$0$$1$$2$$\infty$
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GATE IN 2021 | Question: 3
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point...
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GATE IN 2021 | Question: 4
The input-output relationship of an $\text{LTI}$ system is given below.For an input $x\left [ n \right ]$ shown belowthe peak value of the output when $x\left [ n \right ...