Major Competitive Exams

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Q. If a solid disk rolls without slipping, what fraction of its total energy is translational at the bottom of an incline?
  • A. 1/4
  • B. 1/3
  • C. 1/2
  • D. 2/3
Q. If a solid sphere and a hollow sphere have the same mass and radius, which one will roll down an incline faster?
  • A. Solid sphere
  • B. Hollow sphere
  • C. Both will roll at the same speed
  • D. Depends on the angle of incline
Q. If a solid sphere and a solid cylinder of the same mass and radius are released from rest at the same height, which will have a greater speed at the bottom?
  • A. Solid sphere
  • B. Solid cylinder
  • C. Both have the same speed
  • D. Depends on the mass
Q. If a solid sphere of mass M and radius R is rotating about an axis through its center, what is its moment of inertia?
  • A. 2/5 MR^2
  • B. 3/5 MR^2
  • C. 1/2 MR^2
  • D. 1/3 MR^2
Q. If a solid sphere of radius R and mass M is rotating about an axis through its center, what is its moment of inertia?
  • A. 2/5 MR^2
  • B. 3/5 MR^2
  • C. 1/2 MR^2
  • D. 1/3 MR^2
Q. If a solution contains 25% acid, how much acid is there in 40 liters of the solution?
  • A. 5 liters
  • B. 10 liters
  • C. 15 liters
  • D. 8 liters
Q. If a solution contains 25% sugar, how much sugar is in 40 liters of the solution?
  • A. 5 liters
  • B. 10 liters
  • C. 15 liters
  • D. 20 liters
Q. If a solution has a vapor pressure of 80 mmHg and the pure solvent has a vapor pressure of 100 mmHg, what is the mole fraction of the solvent?
  • A. 0.8
  • B. 0.75
  • C. 0.6
  • D. 0.5
Q. If a solution is made by mixing 3 parts of liquid A and 5 parts of liquid B, what is the ratio of liquid A to the total mixture?
  • A. 3:8
  • B. 3:5
  • C. 5:3
  • D. 5:8
Q. If a solution is made by mixing 30% and 70% solutions in equal volumes, what is the percentage concentration of the resulting solution?
  • A. 50%
  • B. 60%
  • C. 70%
  • D. 40%
Q. If a solution is made by mixing 5 liters of a 20% solution with 15 liters of a 10% solution, what is the concentration of the resulting solution?
  • A. 15%
  • B. 12%
  • C. 10%
  • D. 18%
Q. If a sound source moves towards a stationary observer, what happens to the frequency heard by the observer?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. If a sound source moves towards an observer, what effect does it have on the frequency heard by the observer?
  • A. Decreases
  • B. Increases
  • C. Remains the same
  • D. Becomes zero
Q. If a sound source moves towards an observer, what happens to the frequency heard by the observer?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. If a sound wave has a frequency of 440 Hz, what is its period?
  • A. 0.00227 s
  • B. 0.0045 s
  • C. 0.01 s
  • D. 0.1 s
Q. If a sound wave travels 1 km in 3 seconds, what is its speed?
  • A. 300 m/s
  • B. 1000 m/s
  • C. 333 m/s
  • D. 500 m/s
Q. If a sound wave travels from air into water, what happens to its speed?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. If a sphere has a volume of 288π cubic centimeters, what is its radius?
  • A. 6 cm
  • B. 8 cm
  • C. 9 cm
  • D. 10 cm
Q. If a square has a perimeter of 32 cm, what is the length of one side? (2023)
  • A. 8 cm
  • B. 10 cm
  • C. 12 cm
  • D. 6 cm
Q. If a square paper is folded diagonally, what shape is formed?
  • A. rectangle
  • B. triangle
  • C. circle
  • D. hexagon
Q. If a state has 10% of its population as eligible voters and the population is 50 million, how many eligible voters are there?
  • A. 4 million
  • B. 5 million
  • C. 6 million
  • D. 7 million
Q. If a state has 40 members in its legislative assembly and 25% of them are from the ruling party, how many members are from the ruling party? (2022)
  • A. 8
  • B. 10
  • C. 12
  • D. 15
Q. If a state has 40 MLAs and 25% of them are women, how many women MLAs are there? (2019)
  • A. 8
  • B. 10
  • C. 12
  • D. 15
Q. If a state has 40 MLAs and the total number of votes cast in the election is 2000, what is the average number of votes per MLA? (2000)
  • A. 50
  • B. 40
  • C. 60
  • D. 30
Q. If a state has 40 representatives in the Lok Sabha, what fraction of the total Lok Sabha members does this represent?
  • A. 1/14
  • B. 1/13.625
  • C. 1/12
  • D. 1/10
Q. If a stone is tied to a string and whirled in a horizontal circle of radius 2 m at a speed of 4 m/s, what is the tension in the string?
  • A. 2 N
  • B. 4 N
  • C. 8 N
  • D. 16 N
Q. If a stone is tied to a string and whirled in a horizontal circle of radius 2 m at a speed of 4 m/s, what is the tension in the string if the mass of the stone is 1 kg?
  • A. 2 N
  • B. 4 N
  • C. 8 N
  • D. 10 N
Q. If a store sells an item for $80 after applying a discount of 20%, what was the marked price?
  • A. $100
  • B. $90
  • C. $110
  • D. $120
Q. If a student answered 80% of the questions correctly in an exam and there were 50 questions in total, how many questions did the student answer correctly? (2023)
  • A. 35
  • B. 40
  • C. 45
  • D. 50
Q. If a student answered 90 questions correctly out of 120, what percentage of questions did the student answer correctly? (2023)
  • A. 70%
  • B. 75%
  • C. 80%
  • D. 85%
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