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aptitude

GATE Electronics & Communication · Analogy · 2010-2026

74
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17
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Rosen — Discrete Mathematics and Its Applications

Discrete structures, counting, relations, graph theory

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2026 Q10

If Ref Fig 12 34 12 34 → Ref Fig Then GATE - 2026 → ? Aptitude Test Test Aptitude GATE - 2026 P Aptitude Test GATE - 2026 R Test Aptitude 2026- GATE Q Test Aptitude 2026 - GATE S

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2025 PYQ

Had I learnt acting as a child, I__________a famous film star. Select the most appropriate option to complete the above sentence.

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2025 PYQ

An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20\% of the consulting fee, if the...

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2025 PYQ

The 12 musical notes are given as $C, C^{\#}, D, D^{\#}, E, F, F^{\#}, G, G^{\#}, A, A^{\#}$. Frequency of each note is $\sqrt[12]{2}$ times the frequency of the previous note. If...

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2024 PYQ

Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when Aman was born?

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2024 PYQ

The greatest prime factor of $(3^{199} - 3^{196})$ is

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2024 PYQ

Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct operations, FO1 or FO2. In FO1, the axis of folding remains parallel to the in...

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2023 PYQ

"I cannot support this proposal. My __________ will not permit it."

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2023 PYQ

Courts : __________ : : Parliament : Legislature (By word meaning)

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2023 PYQ

What is the smallest number with distinct digits whose digits add up to 45?

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2023 PYQ

In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like romantic movies is twice the number o...

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2023 PYQ

Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strateg...

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2023 PYQ

A 100 cm $$\times$$ 32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectang...

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2022 PYQ

Mr. X speaks ____________ Japanese ___________ Chinese.

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2022 PYQ

A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets Rs. 1000 more than S, what is the share of Q (in Rs.) ?

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2022 PYQ

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and...

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2022 PYQ

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes...

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2022 PYQ

Consider the following inequalities. (i) 2x $$-$$ 1 > 7 (ii) 2x $$-$$ 9 Which one of the following expressions below satisfies the above two inequalities?

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2022 PYQ

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the state...

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2021 PYQ

Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its...

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2021 PYQ

Given below are two statements and two conclusions. Statement 1 : All purple are green Statement 2 : All black are green Conclusion I : Some black are purple. Conclusion II : No bl...

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2021 PYQ

Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot topic AI e...

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2021 PYQ

p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p^2}}}$$ =

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2021 PYQ

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 yeas ago?

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2020 PYQ

He was not only accused of theft $\_\_\_\_$ of conspiracy.

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2020 PYQ

It is quarter past three in your watch. The angle between the hour hand and the minute hand is $\_\_\_\_$ .

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2019 PYQ

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 right side of the shelf. The number of d...

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2019 PYQ

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when hour hand moved by 210...

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2019 PYQ

It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machine work simultaneously at their respective con...

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2018 PYQ

"Even though there is a vast scope for its __________, tourism has remained a/an _________ area." The words that best fill the blanks in the above sentence are

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2018 PYQ

A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to touris...

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2018 PYQ

A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height...

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2018 PYQ

What is the value of $$1 + {1 \over 4} + {1 \over {16}} + {1 \over {64}} + {1 \over {256}} + ......$$?

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2018 PYQ

Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, i...

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2017 PYQ

1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

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2017 PYQ

In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumpti...

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2017 PYQ

40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is

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2017 PYQ

A rule states that in order to drink beer one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinki...

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2017 PYQ

Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6...

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2017 PYQ

500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), M...

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2017 PYQ

Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars...

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2017 PYQ

“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antag...

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2017 PYQ

$$500$$ students are taking one or more courses out of chemistry, physics and Mathematics. Registration records indicate course enrolment as follows: chemistry $$(329)$$, physics $...

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2017 PYQ

The number of 3 digit numbers such that the digit 1 is never to the immediate right of 2 is

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2017 PYQ

Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y married and have two children P and Q, Z is grandfather of the daughter ‘S’ of P. Further Z and W married a...

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2017 PYQ

S, T, U, V, W, X, Y and Z are seated around a circular table. T's neighbors are Y and V. Z is seated third to the left of T and second to the right of S. U's neighbors are S and Y:...

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2016 PYQ

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pi...

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2016 PYQ

S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in...

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2016 PYQ

The number that least fits this set: (324, 441, 97 and 64) is ________.

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2016 PYQ

It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of...

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2015 PYQ

If $$\log_x\left(\frac57\right)=\frac{-1}3$$, then the value of x is

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2015 PYQ

Operators $$\square$$,◊,$$\rightarrow$$ are defined by : a $$\square$$ b = $$\frac{a-b}{a+b}$$; a ◊ b = $$\frac{a+b}{a-b}$$; a $$\rightarrow$$ b = ab. Find the value of (66 $$\squa...

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2015 PYQ

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that...

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2015 PYQ

If x>y>1, which of the following must be true? $$$\begin{array}{l}\mathrm i.\;\ln\left(\mathrm x\right)>\ln\left(\mathrm y\right)\;\;\;\;\;\;\;\;\;\;\mathrm{ii}.\;\;\mathrm e^\math...

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2015 PYQ

Find the missing sequence in the letter series below: A, CD, GHI, ? , UVWXY

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2014 PYQ

In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has...

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2014 PYQ

A train that is 280 meters long, traveling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the p...

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2013 PYQ

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey i...

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2013 PYQ

Find the sum to n terms of the series 10 + 84 + 734 +.........

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2013 PYQ

What is the chance that a leap year, selected at random, will contain 53 Sundays?

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2013 PYQ

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than th...

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2012 PYQ

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has i...

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2012 PYQ

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the min...

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2012 PYQ

Choose the most appropriate word from the options given below to complete the following sentence: Given the seriousness of the situation that he had to face, his ________ was impre...

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2011 PYQ

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters we...

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2011 PYQ

Three friends, R, S and T shared toffee from a bowl. R took 1/3 rd of the toffees, but returned four to the bowl. S took 1/4 rd of what was left but returned three toffees to the b...

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2011 PYQ

Given that f(y) = |y| / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is

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2011 PYQ

The sum of n terms of the series 4 + 44 + 444 +.... is

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2011 PYQ

Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country's problems had been_________ by foreign technocra...

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2010 PYQ

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor footb...

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2010 PYQ

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1 st January. The age difference between any two successive siblings (that is...

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2010 PYQ

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi...

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2010 PYQ

Which of the following options is the closest in meaning to the world below: Circuitous

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2010 PYQ

The question below consists of a pair of related of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed...

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