GATE CSE & IT

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 recorded each time. The probabilit...

In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?

'When it is raining, peacocks dance.' Based only on this sentence, which one of the following options is necessarily true?

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 B. He sells all the stocks the...

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 that in any given four days, t...

Expedite, Hasten, Hurry, $\_\_\_\_$ . Fill the blank by choosing a word with a meaning similar to that of the words given above.

In the 2020 summer Olympics' Javelin throw finals, Neeraj Chopra exhibited a spectacular performance to win the gold medal. The silver medal was won by Jakub Vadlejch and the bronz...

The antonym of the word protagonist is $\_\_\_\_$ .

Water: P:: Food: Q Choose the P and Q combination from the options below to form a meaningful analogy.

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 recorded each time. The probabilit...

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 player plays until she is defeate...

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 three distinct sets of courses...

'When the teacher is in the room, all students stand silently.' If the above statement is true, which one of the following statements is not necessarily true?

Combinatorics deals with problems involving counting. For example, "How many distinct arrangements of N distinct objects in M spaces on a circle are possible?" is a typical problem...

The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that c...

Ravi had _______ younger brother who taught at _______ university. He was widely regarded as _______ honorable man. Select the option with the correct sequence of articles to fill...

Despite his initial hesitation, Rehman's ________ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.

Consider the relationships among $P, Q, R, S$, and $T$ : $\bullet$ $P$ is the brother of $Q$. $\bullet$ $S$ is the daughter of $Q$. $\bullet$ $T$ is the sister of $S$. $\bullet$ $R...

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 inconsequential. If one wants to pur...

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 once?

"I put the brown paper in my pocket along with the chalks, and possibly other things. I suppose every one must have reflected how primeval and how poetical are the things that one...

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 marks of one student were en...

The CEO's decision to downsize the workforce was considered $$\underline {myopic} $$ because it sacrificed long-term stability to accommodate short-term gains. Select the most appr...

Ravi had __________ younger brother who taught at __________ university. He was widely regarded as _________ honorable man. Select the option with the correct sequence of articles...

Which one of the following options is correct for the given data in the table? Iteration ($i$) 0 1 2 3 Input ($I$) 20 $-$4 10 15 Output ($X$) 20 16 26 41 Output ($Y$) 20 $-$80 $-$8...

Despite his initial hesitation, Rehman's __________ to contribute to the success of the project never wavered. Select the most appropriate option to complete the above sentence.

If $P e^x=Q e^{-x}$ for all real values of $x$, which one of the following statements is true?

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 $p_2$ ?

Bird : Nest :: Bee : ________ Select the correct option to complete the analogy.

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

Based only on the conversation below, identify the logically correct inference: "Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya t...

If '→' denotes increasing order of intensity, then the meaning of the words [walk → jog → sprint] is analogous to [bothered → _______ → daunted]. Which one of the given options is...

If '→' denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ______]. Which one of the given options is appropr...

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 possible orders. They also decide...

If two distinct non-zero real variables x and y are such that (x + y) is proportional to (x - y) then the value of $\frac{x}{y}$

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Macronutrient energy contribution [Pie chart showing: Carbo...

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 tube. A cube whose surface area i...

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 $\frac{p^4 + q^4}{p^2 q^2}$ is

If two distinct non-zero real variables $x$ and $y$ are such that $(x + y)$ is proportional to $(x - y)$ then the value of $\frac{x}{y}$

If ‘→’ denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________ ]. Which one of the given options is appr...

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 coins is

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

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. The perimeter of the final folde...

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of...

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 person made a total of

Sequence the following sentences in a coherent passage. P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an a...

In the sequence 6, 9, 14, $x$, 30, 41, a possible value of $x$ is

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 $\frac{x}{y} + \frac{y}{x}$ is

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 branches is 1/4 th of the number...

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 possible orders. They also decid...

If ‘→’ denotes increasing order of intensity, then the meaning of the words [walk → jog → sprint] is analogous to [bothered → _______ → daunted]. Which one of the given options is...

In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks. Steve was advised to keep his head _____ (i) _____ before heading _____ (ii) _____ to...

Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?

Kind : ___________ : : Often : Frequently (By word meaning)

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 $$F_7=60$$, then what is $$F_1$$ ?

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while...

The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts conclu...

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) > f(t)$$. (ii) There exists a $...

Which one of the following sentence sequences creates a coherent narrative? (i) Once on the terrace, on her way to her small room in the corner, she notices the man right away. (ii...

$$f(x)$$ 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 necessarily TRUE for al x and...

We reached the station late, and ___________ missed the train.

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 under the curve for the interval...

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of th...

Let r be a root of the equation x 2 + 2x + 6 = 0. Then the value of the expression (r + 2) (r + 3) (r + 4) (r + 5) is

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 necessarily in the same order. Consider the following statem...

Given below are four statements : Statement 1 : All students are inquisitive. Statement 2 : Some students are inquisitive. Statement 3 : No student is inquisitive. Statement 4 : So...

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 from the box one at a time. If a...

Some people believe that "what gets measured, improves". Some other believe that "what gets measured, gets gamed". One possible reason for the difference in the beliefs is the work...

The ___________ is too high for it to be considered __________.

________ is to surgery as writer is to ________ Which one of the following options maintains a similar logical relation in the above sentence?

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 number of students in all th...

Given below are two statements I and II and two conclusions I and II : Statement : I. All bacteria are microorganisms. II. All pathogens are microorganisms. Conclusions : I. Some p...

A polygon is convex if, for every pair of points. P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon. Which one of the following is NOT...

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 $$\theta$$ = _______

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 chocolates are identical is...

Consider the following sentences : (i) Everybody in the class is prepared for the exam. (ii) Babu invited Danish to his home because he enjoys playing chess, Which of the following...

Listening to music during exercise improves exercise performance and reduces discomfort. Scientists researched whether listening to music while studying can help students learn bet...

Pen : Write :: Knife : ______ Which one of the following options maintains a similar logical relation in the above?

Gauri said that she can play keyboard _______ her sister.

If $${\left( {x - {1 \over 2}} \right)^2} - {\left( {x - {3 \over 2}} \right)^2} = x + 2$$, then the value of x is :