Question Bank: Logical Reasoning Based on Direct Proportion

13 August, 2024

  1. If the speed of a car is directly proportional to the distance traveled and the car covers 150 km in 3 hours, how far will it travel in 5 hours at the same speed?

    a) 200 km
    b) 250 km
    c) 300 km
    d) 350 km
  2. A worker is paid in proportion to the number of hours worked. If a worker earns $120 for 8 hours of work, how much will they earn for 10 hours of work?

    a) $150
    b) $130
    c) $140
    d) $160
  3. The amount of water required is directly proportional to the number of people. If 10 people need 50 liters of water, how much water is required for 30 people?

    a) 100 liters
    b) 150 liters
    c) 200 liters
    d) 300 liters
  4. The cost of buying apples is directly proportional to the weight of the apples. If 3 kg of apples cost $12, how much do 5 kg of apples cost?

    a) $15
    b) $18
    c) $20
    d) $25
  5. If the brightness of a light is directly proportional to the square of its distance from a surface, and the brightness at 2 meters is 16 lux, what will the brightness be at 4 meters?

    a) 4 lux
    b) 8 lux
    c) 16 lux
    d) 32 lux
  6. If the number of pages a printer can print is directly proportional to the time it is running, and it prints 120 pages in 10 minutes, how many pages can it print in 15 minutes?

    a) 150 pages
    b) 160 pages
    c) 180 pages
    d) 200 pages
  7. If the area of a square is directly proportional to the square of its side length, and the area is 36 square units when the side length is 6 units, what is the area when the side length is 8 units?

    a) 48 square units
    b) 64 square units
    c) 72 square units
    d) 96 square units
  8. The fuel consumption of a car is directly proportional to the distance traveled. If a car consumes 10 liters of fuel to travel 150 km, how much fuel is required to travel 300 km?

    a) 15 liters
    b) 20 liters
    c) 25 liters
    d) 30 liters
  9. If the volume of water in a tank is directly proportional to the time it takes to fill, and the tank is filled with 500 liters of water in 5 hours, how much water can be filled in 8 hours?

    a) 600 liters
    b) 700 liters
    c) 800 liters
    d) 900 liters
  10. The cost of electricity is directly proportional to the number of units consumed. If the cost for 150 units is $45, what will be the cost for 200 units?

    a) $55
    b) $60
    c) $75
    d) $90
  11. If the time taken to complete a job is inversely proportional to the number of workers, and 5 workers can complete the job in 8 days, how many days will it take for 10 workers to complete the same job?

    a) 4 days
    b) 6 days
    c) 8 days
    d) 10 days
  12. The speed of a car is inversely proportional to the time taken to cover a certain distance. If it takes 4 hours to cover the distance at 60 km/h, how long will it take at 80 km/h?

    a) 2 hours
    b) 3 hours
    c) 4 hours
    d) 5 hours
  13. If the number of machines used in a factory is inversely proportional to the time taken to produce a certain number of units, and 6 machines can produce the units in 10 hours, how many machines are needed to produce the same units in 15 hours?

    a) 4 machines
    b) 5 machines
    c) 7 machines
    d) 9 machines
  14. The pressure of a gas is inversely proportional to its volume. If the pressure is 120 kPa when the volume is 50 liters, what will the pressure be when the volume is 100 liters?

    a) 30 kPa
    b) 60 kPa
    c) 90 kPa
    d) 240 kPa
  15. The speed of a cyclist is inversely proportional to the time taken to reach a destination. If the cyclist takes 2 hours at a speed of 20 km/h, how long will it take at a speed of 25 km/h?

    a) 1.6 hours
    b) 2.5 hours
    c) 3 hours
    d) 4 hours
  16. If the number of workers required to build a wall is inversely proportional to the number of days, and 10 workers can build the wall in 12 days, how many workers are required to build it in 8 days?

    a) 12 workers
    b) 14 workers
    c) 15 workers
    d) 16 workers
  17. The resistance in an electrical circuit is inversely proportional to the current. If the resistance is 30 ohms when the current is 2 amps, what will the resistance be when the current is 5 amps?

    a) 6 ohms
    b) 10 ohms
    c) 12 ohms
    d) 15 ohms
  18. If the speed of a boat is inversely proportional to the time taken to cross a river, and the boat takes 4 hours at a speed of 15 km/h, how long will it take at a speed of 20 km/h?

    a) 2 hours
    b) 3 hours
    c) 5 hours
    d) 6 hours
  19. The amount of time required to complete a task is inversely proportional to the number of people working on it. If 5 people can complete the task in 9 hours, how many hours will it take for 3 people to complete the same task?

    a) 10 hours
    b) 12 hours
    c) 15 hours
    d) 18 hours
  20. The intensity of light is inversely proportional to the square of the distance from the source. If the intensity is 100 lux at a distance of 2 meters, what will the intensity be at a distance of 4 meters?

    a) 25 lux
    b) 50 lux
    c) 75 lux
    d) 100 lux
  21. The time taken to paint a house is inversely proportional to the number of painters. If 4 painters can paint a house in 6 days, how many days will it take 8 painters to paint the same house?

    a) 2 days
    b) 3 days
    c) 4 days
    d) 5 days
  22. The pressure in a cylinder is inversely proportional to its volume. If the volume is reduced to half, the pressure will be:
    a) doubled
    b) halved
    c) unchanged
    d) reduced to one-fourth
  23. If the power of an engine is inversely proportional to the time taken to do a certain amount of work, and an engine with 40 kW power takes 5 hours, how long will an engine with 50 kW power take to do the same work?

    a) 4 hours
    b) 4.5 hours
    c) 5 hours
    d) 6 hours
  24. The number of machines required to complete a job is inversely proportional to the time taken. If 12 machines can complete the job in 15 hours, how many machines will be required to complete the job in 10 hours?

    a) 15 machines
    b) 16 machines
    c) 18 machines
    d) 20 machines
  25. If the brightness of a bulb is inversely proportional to the square of its distance from a surface, and the brightness at 1 meter is 400 lux, what will be the brightness at 2 meters?

    a) 50 lux
    b) 100 lux
    c) 200 luxd
    d) 400 lux
  26. The speed of an aircraft is inversely proportional to the time taken to reach its destination. If it takes 5 hours at a speed of 300 km/h, how long will it take at a speed of 500 km/h?

    a) 2 hours
    b) 3 hours
    c) 3.5 hours
    d) 4 hours
  27. The amount of food required for a group of people is inversely proportional to the number of days the food lasts. If 50 kg of food lasts 20 days for a group, how long will 75 kg of food last for the same group?

    a) 10 days
    b) 15 days
    c) 25 days
    d) 30 days
  28. If the frequency of a pendulum’s oscillation is inversely proportional to the square root of its length, and the pendulum has a length of 4 meters with a frequency of 0.5 Hz, what will be the frequency if the length is reduced to 1 meter?

    a) 0.5 Hz
    b) 1 Hz
    c) 1.5 Hz
    d) 2 Hz
  29. The number of workers required to harvest a field is inversely proportional to the time taken to complete the task. If 8 workers can harvest the field in 15 days, how long will it take for 10 workers to complete the same task?

    a) 10 days
    b) 12 days
    c) 15 days
    d) 18 days
  30. The distance a car can travel is inversely proportional to the fuel consumption per kilometer. If the car can travel 600 km on 40 liters of fuel, how far can it travel on 50 liters of fuel?

    a) 700 km
    b) 750 km
    c) 800 km
    d) 900 km