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प्रश्न
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` |
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उत्तर
| Column I | Column II |
| 1. x and y vary inversely to each other | C. xy = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
D. `p oo 1/q` |
| 3. Mathematical representation of direct variation of quantities m and n |
G. `m oo n` |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | F. x and y are directly proportional |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | H. x and y vary inversely |
| 6. x and y vary directly with each other | A. `x/y` = Constant |
| 7. If x and y vary inversely then on decreasing x | B. y will increase in proportion |
| 8. If x and y vary directly then on decreasing x | E. y will decrease in proportion |
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संबंधित प्रश्न
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
11 men can dig \[6\frac{3}{4}\] metre long trench in one day. How many men should be employed for digging 27 metre long trench of the same type in one day?
A and B can do a piece of work in 20 days and B in 15 days. They work together for 2 days and then A goes away. In how many days will B finish the remaining work?
Expenditure of a family to number of members of the family are in direct proportion
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be ______.
Both x and y are in direct proportion, then `1/x` and `1/y` are ______.
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.
It is given that l varies directly as m. Find l, when m is 33.
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture G | Mixture H |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.
