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प्रश्न
Fill in the blank in of the following so as to make the statement true:
Two quantities are said to vary......... with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
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उत्तर
Two quantities are said to vary directly with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
संबंधित प्रश्न
Explain the concept of direct variation.
Rakesh can do a piece of work in 20 days. How much work can he do in 4 days?
If the cost of 6 cans of juice in ₹ 210, then what will be the cost of 4 cans of juice?
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is ______.
When the distance is kept fixed, speed and time vary directly with each other.
For fixed time period and rate of interest, the simple interest is directly proportional to the principal.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the quantity of work.
A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?
Match each of the entries in Column I with the appropriate entry in Column II
| Column I | Column II |
| 1. x and y vary inversely to each other | A. `x/y` = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
B. y will increase in proportion |
| 3. Mathematical representation of direct variation of quantities m and n |
C. xy = Constant |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | D. `p oo 1/q` |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
| 6. x and y vary directly with each other | F. x and y are directly proportional |
| 7. If x and y vary inversely then on decreasing x | G. `m oo n` |
| 8. If x and y vary directly then on decreasing x | H. x and y vary inversely |
| I. `p oo q` | |
| J. `m oo 1/n` |
The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.
| Distance (m) | Time (sec.) | |
| Elevator- A | 435 | 29 |
| Elevator- B | 448 | 28 |
| Elevator- C | 130 | 10 |
| Elevator- D | 85 | 5 |
How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?
