Aptitude
GATE Mechanical Engineering · Data Interpretation - Pie Chart · 2014-2026
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Rosen — Discrete Mathematics and Its Applications
Discrete structures, counting, relations, graph theory
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All concepts →'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...
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...
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...
Identify the grammatically correct sentence:
Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?
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...
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,...
Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
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, …
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...
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.
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...
Consider the following inequalities 𝑝 2 − 4𝑞 < 4 3𝑝 + 2𝑞 < 6 where 𝑝 and 𝑞 are positive integers. The value of (𝑝 + 𝑞) is _______.
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?
After playing _________ hours of tennis, I am feeling _________ tired to walk back.
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...
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...
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...
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?
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?
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?
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...
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?
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...
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^...
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...
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?
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....
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...
John Thomas, an _______________ writer, passed away in 2018.
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...
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...
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?
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?
The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is ____.
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___
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.
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...
If IMHO = JNIP; IDK =JEL: and SO =TP, then IDC = ____.
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?
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...
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?
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?
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...
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...
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...
“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
Given that a and b are integers and a + a 2 b 3 is odd, which one of the following statements is correct?
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...
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?
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?
The value of the expression $${1 \over {1 + \log _u^{vw}}} + {1 \over {1 + \log _v^{wu}}} + {1 \over {1 + \log _w^{uv}}}$$ is
The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
“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
Find the missing group of letters in the following series: BC, FGH, LMNO, _____
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?
“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
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...
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...