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Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Concept: undefined >> undefined
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
Concept: undefined >> undefined
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Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
Concept: undefined >> undefined
Which of the following are in inverse proportion?
The time taken for a journey and the distance travelled in a uniform speed.
Concept: undefined >> undefined
Which of the following are in inverse proportion?
Area of cultivated land and the crop harvested
Concept: undefined >> undefined
Which of the following are in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
Concept: undefined >> undefined
Which of the following are in inverse proportion?
The population of a country and the area of land per person.
Concept: undefined >> undefined
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
Concept: undefined >> undefined
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
| Angle between a pair of consecutive spokes |
90° | 60° | ... | ... | ... |
- Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
- Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
- How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?
Concept: undefined >> undefined
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
Concept: undefined >> undefined
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
Concept: undefined >> undefined
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Concept: undefined >> undefined
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
Concept: undefined >> undefined
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
Concept: undefined >> undefined
A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?
Concept: undefined >> undefined
Two persons could fit new windows in house in 3 days.
One of the persons fell ill before the work started. How long would the job take now?
Concept: undefined >> undefined
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Concept: undefined >> undefined
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Concept: undefined >> undefined
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0. (−4)−2
Concept: undefined >> undefined
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Concept: undefined >> undefined
