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प्रश्न
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.
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उत्तर
The number of people working and the quantity of work are directly proportional to each other.
E.g. Let 20 workers can complete 20% of a work.
Then, 40 workers can complete 40% of the same work.
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संबंधित प्रश्न
If two quantities x and y vary directly with each other, then ______
x and y are said to vary directly with each other if for some positive number k, ______ = k.
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is ______.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Area of the walls of a room and the cost of white washing the walls.
It is given that l varies directly as m. Find l, when m is 33.
The mass of an aluminum rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.
The cost of 27 kg of iron is Rs 1,080, what will be the cost of 120 kg of iron of the same quality?
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` |
Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and blue dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.
The students of Anju’s class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. Could Anju’s class raise exactly Rs 2,000? If so, how many posters would they need to sell? If not, why?
