Direct And Inve...

If x : y = 5 : 3 and 3 : y = 1 : 4, then the value of x is

If a and b vary inversely with each other, and a = 15 when b = 18, then what will be the value of b when a = 5?

If a varies directly as b² and a = 8 when b = 3, find the value of a when b = 9.

If , then what is the value of x?

x and y are inversely proportional to each other, and when x = 18, y = 6. Which of the following is not a possible pair of corresponding values of x and y?

Which of the following statements is incorrect?

If x : y = 4 : 9 and y : z = 2 : 5, then what is the value of z : x?

If two variables a and b are in direct proportion, then which of the following equations is correct?

Directions: Read the given statement carefully and answer the question that follows.

Statement: When one variable increases, the other decreases in proportion so that the product is unchanged.

Which of the following methods of proportionality is/are followed in the given statement?

Which of the following are not in inverse proportion?

If 15 workers can build a wall in 48 hours, then how many workers will be required to build the same wall in 24 hours?

A person earns an interest of Rs. 82 on the principal of Rs. 2400. What amount of interest will he earn if the principal is Rs. 240?

In a class, 4 erasers are given to 6 students on sharing basis. How many students are there in the class if 18 erasers are distributed in total?

In a hostel, food is prepared to feed 250 guests for 20 days. If 50 of them leave the hostel and rent an apartment, then how long would this food last?

Raju has just enough money to buy 44 bottles worth Rs. 420 each. If the cost of each bottle is increased by Rs. 30, then how many bottles would he be able to buy?

A shopkeeper pays his employee Rs. 600 for 12 days of work. For how many days of work would the employee be paid Rs. 1500?

A virus, when enlarged 40,000 times under a microscope, attains a length of 4 cm. What is the actual length of the virus?

Rajan has just enough money to buy 24 pairs of jeans worth Rs. 700 each. How many pairs of jeans can he buy with the same amount if he gets a discount of Rs. 100 on each pair?

3 women can do as much work as 2 men in a given period. If 14 men take 21 days, working 8 hours a day, to complete a piece of work, then how many days would 21 women take to complete the same piece of work, working 6 hours a day?

In 14 days, the concentration of carbon monoxide in the atmosphere becomes 385 ppm. In how many days will it become 495 ppm?

Directions: Determine whether the given statements are true (T) or false (F) and choose the correct option accordingly.

1) If x and y are in direct proportion, then = constant.
2) As the diameter of a circle increases, the circumference also increases. This is a case of direct proportion.
3) If distance is constant, then work is inversely proportional to force.
4) In an inverse proportion, if one number increases, then the other will decrease.

Fill in the blanks:

1) When two quantities are in direct proportion, as one increases, the other increases by the same _____.
2) For some constant k, if xy = k, then the values of x and y vary ____.
3) When two given quantities vary directly, an increase in one will reflect as ____ in the other quantity.

Match the following:

A maid is paid Rs. 248 for 5 days of work.

1) How much (in Rs.) will she be paid for the whole month of September?
2) For how many days does she have to work in order to get paid Rs. 2232?

In which of the following tables are the two quantities (x and y) in inverse proportion?

1)