Major Competitive Exams

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Q. In a system of equations, if one equation is a multiple of another, what can be inferred about their solutions?
  • A. They have a unique solution.
  • B. They have infinitely many solutions.
  • C. They have no solutions.
  • D. They are inconsistent.
Q. In a system of linear equations, what does it mean if the equations are dependent?
  • A. They have exactly one solution.
  • B. They have infinitely many solutions.
  • C. They have no solutions.
  • D. They are inconsistent.
Q. In a system of linear equations, what does it mean if the equations are inconsistent?
  • A. There is exactly one solution.
  • B. There are infinitely many solutions.
  • C. There is no solution.
  • D. The equations are dependent.
Q. In a system of two blocks connected by a spring, if the spring is compressed, what is the condition for equilibrium?
  • A. Net force acting on the system is zero
  • B. Net momentum of the system is constant
  • C. Kinetic energy is maximized
  • D. Potential energy is minimized
Q. In a system of two particles, if one particle has an angular momentum of L1 and the other has L2, what is the total angular momentum of the system?
  • A. L1 + L2
  • B. L1 - L2
  • C. L1 * L2
  • D. L1 / L2
Q. In a system of two rotating bodies, if one body has twice the moment of inertia of the other, how does their angular momentum compare if they rotate with the same angular velocity?
  • A. The same
  • B. Twice as much
  • C. Half as much
  • D. Four times as much
Q. In a system of two rotating disks, if disk A has twice the moment of inertia of disk B and they are both rotating with the same angular velocity, what can be said about their angular momentum?
  • A. LA = LB
  • B. LA = 2LB
  • C. LA = 4LB
  • D. LA = 1/2 LB
Q. In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
  • A. By adding the forces algebraically
  • B. Using the Pythagorean theorem
  • C. By taking the average of the two forces
  • D. By subtracting the smaller force from the larger force
Q. In a system with multiple constraints, what is the effect on the distribution of forces? (2022)
  • A. Forces become independent
  • B. Forces are uniformly distributed
  • C. Forces must satisfy all constraints
  • D. Forces are eliminated
Q. In a table comparing the sales figures of five regions (North, South, East, West, Central) for the last year, which region had the lowest sales?
  • A. North
  • B. South
  • C. East
  • D. Central
Q. In a table displaying the number of hours worked by employees in a week, who worked the least hours?
  • A. Employee A
  • B. Employee B
  • C. Employee C
  • D. Employee D
Q. In a table showing the production output of three factories (A, B, C) over a month, if Factory A produced 500 units, Factory B 700 units, and Factory C 300 units, what is the total production?
  • A. 1500 units
  • B. 1400 units
  • C. 1300 units
  • D. 1200 units
Q. In a table showing the production output of three factories (A, B, C) over four quarters, which factory had the highest total output?
  • A. Factory A
  • B. Factory B
  • C. Factory C
  • D. All equal
Q. In a table showing the production output of three factories (A, B, C) over four quarters, which factory had the lowest total output?
  • A. Factory A
  • B. Factory B
  • C. Factory C
  • D. All had equal output
Q. In a table showing the production output of three factories (A, B, C) over two quarters, which factory had the lowest output in Q2?
  • A. Factory A
  • B. Factory B
  • C. Factory C
  • D. All had equal output
Q. In a table showing the production output of three factories (A, B, C) over two years, which factory had the highest total output?
  • A. Factory A
  • B. Factory B
  • C. Factory C
  • D. All equal
Q. In a table showing the production output of three factories (F1, F2, F3) for two quarters, which factory had the lowest output in Q2?
  • A. Factory F1
  • B. Factory F2
  • C. Factory F3
  • D. All had equal output
Q. In a table showing the quarterly profits of three companies (A, B, C), which company had the lowest profit in Q2?
  • A. Company A
  • B. Company B
  • C. Company C
  • D. All had equal profit
Q. In a table showing the sales figures for four regions (North, South, East, West) in Q1, which region had sales of $50,000?
  • A. North
  • B. South
  • C. East
  • D. West
Q. In a table showing the sales figures for two products (X and Y) across three regions, if Product X sold 500 units in Region 1 and Product Y sold 300 units in the same region, what is the total sales for Region 1?
  • A. 700
  • B. 800
  • C. 600
  • D. 500
Q. In a table showing the scores of students in three subjects, which student scored the highest in Mathematics?
  • A. Student A
  • B. Student B
  • C. Student C
  • D. Student D
Q. In a talent show, 12 participants were awarded prizes. If 3 of them received first place awards, how many received other types of awards?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. In a talent show, 4 participants received awards. If the first place received 50 points, the second place 40 points, the third place 30 points, and the fourth place 20 points, what is the total number of points awarded?
  • A. 120
  • B. 130
  • C. 140
  • D. 150
Q. In a talent show, 6 participants are competing for 3 awards. If each participant has an equal chance of winning, what is the probability that a specific participant wins an award?
  • A. 0.5
  • B. 0.3
  • C. 0.2
  • D. 0.1
Q. In a talent show, 6 participants received awards. If the total number of participants was 30, what fraction of participants received awards?
  • A. 1/5
  • B. 1/6
  • C. 1/4
  • D. 1/3
Q. In a talent show, performer X received a higher score than Y but a lower score than Z. Performer W scored lower than X but higher than Y. What is the ranking from highest to lowest? (2023)
  • A. Z, X, W, Y
  • B. Z, W, X, Y
  • C. X, Z, W, Y
  • D. W, Z, X, Y
Q. In a talent show, the first prize is $1,000, the second prize is $500, and the third prize is $250. What is the total amount awarded?
  • A. $1,500
  • B. $1,750
  • C. $1,200
  • D. $1,800
Q. In a talent show, the first prize is $1000, the second prize is $500, and the third prize is $250. What is the average prize money awarded? (2021)
  • A. $500
  • B. $600
  • C. $700
  • D. $800
Q. In a talent show, the first prize is $1000, the second prize is $500, and the third prize is $250. What is the total prize money awarded?
  • A. $1750
  • B. $1800
  • C. $1850
  • D. $1900
Q. In a team formation scenario, which of the following is the most critical factor for ensuring effective collaboration among team members?
  • A. Diverse skill sets
  • B. Shared goals
  • C. Strong leadership
  • D. Effective communication
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