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GATE Mechanical Engineering · Data Interpretation - Pie Chart · 2014-2026

59
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10
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Rosen — Discrete Mathematics and Its Applications

Discrete structures, counting, relations, graph theory

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2026 Q1

'The team ________ more than 300 runs in 20 overs ________ rains. However, some players needed to improve their batting skills.' Choose the option with the correct sequence of word...

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2025 Q3

Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously bu...

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2025 PYQ

Two cars, $P$ and $Q$, start from a point $X$ in India at 10 AM . Car $P$ travels North with a speed of $25 \mathrm{~km} / \mathrm{h}$ and car Q travels East with a speed of $30 \m...

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2025 PYQ

Identify the grammatically correct sentence:

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2025 PYQ

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

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2025 PYQ

A final year student appears for placement interview in two companies, $S$ and $T$. Based on her interview performance, she estimates the probability of receiving job offers from c...

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2024 Q3

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

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2024 PYQ

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

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2024 PYQ

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21, …

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2024 PYQ

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4...

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2023 PYQ

The minute-hand and second-hand of a clock cross each other _______ times between 09:15:00 AM and 09:45:00 AM on a day.

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2023 PYQ

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s f...

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2023 PYQ

Consider the following inequalities 𝑝 2 − 4𝑞 < 4 3𝑝 + 2𝑞 < 6 where 𝑝 and 𝑞 are positive integers. The value of (𝑝 + 𝑞) is _______.

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2023 PYQ

How many pairs of sets (S,T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a subset of T?

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2022 PYQ

After playing _________ hours of tennis, I am feeling _________ tired to walk back.

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2022 PYQ

The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000. What is the monthly sal...

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2022 PYQ

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph. What percentage...

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2022 PYQ

Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning...

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2022 PYQ

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?

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2022 PYQ

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?

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2022 PYQ

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?

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2022 PYQ

Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality $2-5x\leq-\left(\frac{6x-5}{3}\right)\;$ on the real number l...

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2022 PYQ

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

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2022 PYQ

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 units per day, what is the value...

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2022 PYQ

Consider the following functions for non-zero positive integers, p and q. $\rm f(p,q)=\frac{p\times p\times p\times.......\times p}{q\ terms}=p^q;\;$ ; f(p, 1) = p $g(p,q)=p^{p^{p^...

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2020 PYQ

Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through web-based platforms in the projec...

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2019 Q3

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

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2019 Q9

A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skill levels of total employment in 2010 is given in the pie chart as shown....

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2019 Q10

M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following sta...

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2019 PYQ

John Thomas, an _______________ writer, passed away in 2018.

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2019 PYQ

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is close...

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2019 PYQ

Mola is a digital platform for taxis in a city. It offers three types of rides- Pool, Mini and Prime. The table below presents the number of rides for the past four months. The pla...

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2019 PYQ

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

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2019 PYQ

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?

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2019 PYQ

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is ____.

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2019 PYQ

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is___

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2019 PYQ

The minister avoided any mention of the issue of women’s reservation in the private in the private sector. He was accused of _______ the issue.

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2019 PYQ

A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are...

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2019 PYQ

If IMHO = JNIP; IDK =JEL: and SO =TP, then IDC = ____.

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2018 Q3

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

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2018 Q4

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the...

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2018 Q5

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

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2018 Q6

For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?

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2018 PYQ

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of th...

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2018 PYQ

From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the s...

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2018 PYQ

A wire would enclose an area of 1936 m 2 , if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the s...

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2018 PYQ

“The dress _________ her so well that they all immediately _________ her on her appearance.” The words that best fill the blanks in the above sentence are

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2018 PYQ

Given that a and b are integers and a + a 2 b 3 is odd, which one of the following statements is correct?

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2018 PYQ

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many...

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2018 PYQ

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

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2018 PYQ

For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?

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2018 PYQ

The value of the expression $${1 \over {1 + \log _u^{vw}}} + {1 \over {1 + \log _v^{wu}}} + {1 \over {1 + \log _w^{uv}}}$$ is

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2018 PYQ

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

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2018 PYQ

“Going by the _________ that many hands make light work, the school _______ involved all the students in the task.” The words that best fill the blanks in the above sentence are

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2018 PYQ

Find the missing group of letters in the following series: BC, FGH, LMNO, _____

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2018 PYQ

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

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2018 PYQ

“Her _______ should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is

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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 probabili...

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2014 PYQ

A group consists of equal number of men and women. Of this group $$20$$% of the men and $$50$$% of the women are unemployed. If a person is selected at random from this group, the...

easy