What type of variation occurs when one quantity increases and the other also increases?

Direct Variation

If the cost of 3 pens is ₹30, what is the cost of 1 pen?

₹10

True or False: In inverse variation, as one quantity increases, the other quantity must also increase.

False. In inverse variation, as one quantity increases, the other decreases.

Riddle: I am a method that finds the value for one unit and uses it to calculate for multiple units. What am I?

Unitary Method

In direct variation, what remains constant between two quantities?

The ratio x/y

If 7 men can complete a task in 560 days, how long will it take 1 man to complete the same task?

3920 days

Fill in the blank: In inverse variation, the product of two quantities (x and y) is ______.

Constant

Which of the following statements is true about direct variation? A) The ratio is not constant B) The ratio is constant C) The quantities are unrelated D) None of the above

B) The ratio is constant

True or False: The unitary method can only be used for direct variation problems.

False. The unitary method can be applied to both direct and inverse variation problems.

What is the total number of provision days if 300 men have provisions for 90 days?

27000 days

If 30 men can build a wall in 50 days, how many men are required to build a wall double in size in 75 days?

40 men

Fill in the blank: In direct variation, if x = 4 and y = 8, then the constant ratio x/y is ______.

1/2

In inverse variation, what is the relationship between the quantities?

Their product is constant.

If a camp has food for 400 soldiers for 20 days, how many soldiers can the food last if it lasts for 32 days?

250 soldiers

True or False: In direct variation, increasing one quantity decreases the other quantity.

False. In direct variation, increasing one quantity also increases the other.

Fill in the blank: The total work done is equal to the sum of each person's ______.

One-day work

If 108 kg of ration is sufficient for 18 students for 15 days, for how many students will 70 kg of ration be sufficient for 25 days?

7 students

What is the formula used to find one day's work in the context of time and work?

1 ÷ (number of days to complete the work)

Riddle: I can help you find the share of each boy when resources are divided among them inversely. What am I?

Arrow Method