Advertisements
Advertisements
प्रश्न
In which of the following case, do the quantities vary directly with each other?
विकल्प
x 0.5 2 8 32 y 2 8 32 128 p 12 22 32 42 q 13 23 33 43 r 2 5 10 25 50 s 25 10 5 2 0.5 u 2 4 6 9 12 v 18 9 6 4 3
Advertisements
उत्तर
| x | 0.5 | 2 | 8 | 32 |
| y | 2 | 8 | 32 | 128 |
Explanation:
x = 0.5, 2, 8, 32 and y = 2, 8, 32, 128
If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases.
APPEARS IN
संबंधित प्रश्न
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
In which of the following tables x and y vary directly?
(i)
| a | 7 | 9 | 13 | 21 | 25 |
| b | 21 | 27 | 39 | 63 | 75 |
(ii)
| a | 10 | 20 | 30 | 40 | 46 |
| b | 5 | 10 | 15 | 20 | 23 |
(iii)
| a | 2 | 3 | 4 | 5 | 6 |
| b | 6 | 9 | 12 | 17 | 20 |
(iv)
| a | 12 | 22 | 32 | 42 | 52 |
| b | 13 | 23 | 33 | 43 | 53 |
Complite the following table given that x varies directly as y .
| x | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
If the thickness of a pile of 12 cardboards is 35 mm, find the thickness of a pile of 294 cardboards.
If the cost of 3 books is ₹ 90, then find the cost of 12 books.
In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last if 20 more persons join the camp?
A car travels a distance of 225 km in 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?
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 A | Mixture B |
 |
 |
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?
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` |
