# Direct Variation

## Trending Questions

**Q.**For direct variation the value of k can be either positive or negative.

- True
- False

**Q.**

If 4 dozen eggs cost ₹ 144, find the cost of 5 scores of eggs [1 score = 20]

450

300

360

250

**Q.**A bus travels 40 km in 30 minutes. If the speed of the bus remains the same, how far can it travel in 3 hours?

- 220 kms
- 240 kms
- 200 kms
- 250 kms

**Q.**

Reenu types 540 words during half an hour. How many words Would she type in 8 minutes ?

**Q.**X varies directly as the square of Y. If X = 1 when Y = 2, then find the constant of variation.

- 0.25
- 0.3
- 0.5
- 0.75

**Q.**X varies directly as the cube of Y. If X = 3 when Y = 2, then find the constant of variation.

- 0.375
- 0.25
- 0.2
- 0.5

**Q.**A varies directly as the square of B. If A = 48 when B = 4, then find the constant of variation.

- 1
- 2
- 3
- 4

**Q.**The expenditure of a family is directly proportional to the number of members in the family. If the expenditure of a family is ₹ 10, 000 when there are 5 members, then find the expenditure when there are 10 members in the family.

- ₹ 30, 000
- ₹ 20, 000
- ₹ 15, 000
- ₹ 10, 000

**Q.**If 4 tea-spoons of sugar is added in 2 cups of tea, then how many tea-spoons are required for 4 cups of tea?

- 8 tea-spoons
- 5 tea-spoons
- 6 tea-spoons
- 10 tea-spoons

**Q.**y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation.

- k = 9
- k = 5
- k = 3
- k = 6

**Q.**

Check whether the given ratios are equal i.e., they are in proportion. If yes, then write them in the proper form $1:5\mathrm{and}3:15$.

**Q.**The model of a chip is scaled at 50:1. If the length of the model of the microchip is 0.5 mm, then how many microchips can be arranged in a line on a 1 m long board?

- 60
- 50
- 45
- 40

**Q.**

Reema weaves 35 baskets in 25 days. In how many days will she weave 55 baskets?

**Q.**Cost of groundnuts is directly proportional to its weight. If cost of 5 kg groundnuts is 450 then find the cost of 100 kg.

- 9000
- 5000
- 4500
- 4000

**Q.**The efficiency of a machine is directly proportional to the number of units produced. If the efficiency of the machine is 125 % when 25 units are produced, then find the efficiency of the machine when 10 units are produced .

- 100 %
- 50 %
- 75 %
- 150 %

**Q.**

If the cost of printing a book of 380 pages with 20 lines on each page and on an average 11 words in each line is ₹ 19, then the cost of printing a book with 280 pages 22 lines on each page and 10 words in each line is

₹ 14

₹ 16

₹ 18

₹ 20

**Q.**Find the missing entry:

Quantity | 1 | 3 | 5 | 7 |

Price | 50 | 150 | 250 | __ |

- 200
- 450
- 300
- 350

**Q.**X varies directly as Y. If X = 5 when Y = 25, then find the constant of variation.

- 0.2
- 0.25
- 0.5
- 0.75

**Q.**Two numbers are in the ratio 4:7. If their L.C.M is 168, find the numbers.

**Q.**

**Question 93**

Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?

**Q.**The cost of production is directly proportional to the number of units produced. If the cost of production is ₹ 5, 000 when 25 units are produced, then find the cost of production when 100 units are produced .

- ₹ 20, 000
- ₹ 7, 500
- ₹ 2, 500
- ₹ 10, 000

**Q.**

**Question 08.**

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

**Q.**

**Question 29**

On increasing a, b increases in such a manner that ab remians

**Q.**A workforce of 210 men with a supervisor can finish a certain piece of work in 5 months. How many extra men must he employ if he want to complete job in just 2 months?

[2 marks]

**Q.**

**Question 43**

Two quantities x and y are said to vary directly with each other if for some rational number k, xy =k.

**Q.**The pressure of a vessel is directly proportional to the cube of its volume. If the pressure of the vessel is 125 Bar when the volume of the vessel is 5 Litres.Find the pressure when the volume of the vessel is 2 Litres.

- 8 Bar
- 5 Bar
- 16 Bar
- 22 Bar

**Q.**If 11 printers can print 22 pages in a second, then find the number of pages printed by 5 such printers in a second.

- 10 pages
- 12 pages
- 16 pages
- 20 pages

**Q.**The pressure of a vessel is directly proportional to the square of its volume. If the pressure of the vessel is 5 Bar when the volume of the vessel is 2 Litres.Find the pressure when the volume of the vessel is 1 Litre.

- 1.25 Bar
- 6.25 Bar
- 5 Bar
- 0.25 Bar

**Q.**For direct variation can the value of k be either positive or negative?

- Yes
- No

**Q.**If 10 printers can print 50 pages in a second, then find the number of pages printed by 2 such printers in a second.

- 6 pages
- 8 pages
- 10 pages
- 12 pages