If 5 workers can move 4500 bricks in a day, how many workers are needed to move 18000 bricks in a day?
  • 20
  • 15
  • 18
  • 25
Puneeth’s father went from Lucknow to Kanpur in 3 hours by riding his motorcycle at a speed of 30 km/h. If he takes a car instead and drives at 60 km/h, how long will it take him to reach Kanpur (assuming the same distance)?
  • 1.5 hours
  • 3 hours
  • 2 hours
  • 1 hour
Consider the proportionality statement 30 : 60 :: 3 : x for travel from Lucknow to Kanpur, where speeds are 30 km/h and 60 km/h and 3 hours is the travel time at 30 km/h. Which option correctly completes the statement and describes how travel time changes with speed?
  • x = 1.5 and travel time decreases as speed increases.
  • x = 6 and travel time increases as speed increases.
  • x = 1.5 and travel time increases as speed increases.
  • x = 6 and travel time decreases as speed increases.
Going by bicycle is 3 times faster than walking (15 km/h compared to 5 km/h). Does the travel time for the same distance decrease by the same factor?
  • Yes. The time decreases 3 times (from 18 hours to 6 hours).
  • No. The time decreases by 4 times.
  • Yes, but only if distance also changes.
  • No. The time remains the same.
Using the table of speeds and times for travelling the same distance of 90 km — Walk: 5 km/h and 18 h; Bicycle: 15 km/h and 6 h; Motorcycle: 30 km/h and 3 h; Car: 60 km/h and 1.5 h — do speed and time vary in inverse proportion across these modes?
  • Yes. The product of speed and time is the same for all modes.
  • No. The product of speed and time varies across modes.
  • Yes, but only when the speed is less than 30 km/h.
  • No. They vary directly with each other.
Let x represent speed and y represent travel time for a fixed distance. For walking and by car, take x1 = 5, x2 = 60, y1 = 18 and y2 = 1.5. What is the value of (1/18) × (y2 / y1)?
  • 0.083333...
  • 0.75
  • 0.5
  • 0.033333...
Which of these data sets show x and y in inverse proportion? Use each table to decide whether the product x × y stays constant across all pairs. (i) x: 40, 80, 25, 16; y: 20, 10, 32, 50 (ii) x: 40, 80, 25, 16; y: 20, 10, 12.5, 8 (iii) x: 30, 90, 150, 10; y: 15, 5, 3, 45
  • Only (i)
  • Only (ii)
  • Only (iii)
  • (i) and (iii)
  • (ii) and (iii)
If x and y are in inverse proportion, use the pair (x, y) = (16, 9) to fill the missing values in the table: when x = 12, what is y?
  • 6
  • 9
  • 12
  • 18
If x and y are in inverse proportion, use the pair (x, y) = (16, 9) to fill the missing values in the table: when y = 48, what is x?
  • 2
  • 3
  • 6
  • 8
Which of the following pairs of quantities are in inverse proportion? Select all that apply. (i) The number of taps filling a water tank and the time taken to fill it (ii) The number of painters hired and the days needed to paint a wall of fixed size (iii) The distance a car can travel and the amount of petrol in the tank (iv) The speed of a cyclist and the time taken to cover a fixed route (v) The length of cloth bought and the price paid at a fixed rate per metre (vi) The number of pages in a book and the time required to read it at a fixed reading speed
  • (i), (ii), and (iv)
  • (i) and (ii) only
  • (iii) and (v) only
  • (iv) and (vi) only
  • (ii), (v), and (vi)
If 24 pencils cost ₹120, how much will 20 such pencils cost?
  • ₹80
  • ₹90
  • ₹100
  • ₹110
A tank on a building has enough water to supply 20 families for 6 days. If 10 more families move in there, how long will the water last? Choose the option that also states the necessary assumption.
  • 4 days; each family uses the same amount of water per day and total supply is fixed
  • 3 days; families use less water when more people share
  • 9 days; water use is directly proportional to the number of families
  • 6 days; the water supply increases with more families
Study the pie chart of children’s modes of transport to school: Bus 120°, Walk 90°, Two-wheeler 60°, Cycle 60°, Car 30°. What is the most common mode of transport?
  • Bus
  • Walk
  • Cycle
  • Two-wheeler
Study the same pie chart of modes of transport to school: Bus 120°, Walk 90°, Two-wheeler 60°, Cycle 60°, Car 30°. What fraction of children travel by car?
  • 1/6
  • 1/12
  • 1/4
  • 1/3
From the same pie chart, if 18 children travel by car, how many children took part in the survey?
  • 144
  • 180
  • 216
  • 240
From the same pie chart, how many children use taxis to travel to school if taxis correspond to a 60° sector of the chart? Assume the total number of children is as found when 18 children travel by car.
  • 18
  • 30
  • 36
  • 60
By which two modes of transport are equal numbers of children travelling, according to the same pie chart?
  • Bus and Walk
  • Walk and Car
  • Cycle and Two-wheeler
  • Bus and Cycle
Three workers can paint a fence in 4 days. If one more worker joins the team, how many days will it take them to finish the work? Choose the option that also states the necessary assumption.
  • 3 days; all workers have equal efficiency and work the same hours
  • 2 days; the new worker works twice as fast as the others
  • 4 days; more workers do not change total time
  • 5 days; adding workers reduces individual effort but increases total time
It takes 6 hours to fill 2 tanks of the same size with a pump. How long will it take to fill 5 such tanks with the same pump?
  • 9 hours
  • 12 hours
  • 15 hours
  • 18 hours
A set of chairs is arranged in 25 rows, with 12 chairs in each row. If the chairs are rearranged with 20 chairs in each row, how many rows does this new arrangement have?
  • 12
  • 15
  • 20
  • 30
0 h : 0 m : 1 s

Answered Not Answered Not Visited Correct : 0 Incorrect : 0