Proportions

Q.

What is Alternendo on ratio property.

Q.

A can do 2/3 of work in 16 days and B can do 1/4 of the same work in 3 days In how many can both finsh the work working together

Q. Complete the table if x and y vary directly.

x	3.5	4	7.5	-
y	-	8	-	15

Q.

In a camp of 300 Soldiers had food for 13 days. If 40 of them are transferred to the other camp. So how long the food Last ?

Q. 9. Working individually A B and C can finish a piece of work in 16 days 20 days and 30 days respectively in how many days A, B and C together complete a work which is 7/2 times the previous work?

Q.

A can lay a railway track between two given stations in $16$ days and B can do the same job in $12$ days. With help of C, they did the job in $4$ days only. How many days will C take to do the job alone?

1. $10$ days

2. $9$ days

3. $10\frac{3}{5}$ days
   
4. $9\frac{3}{5}$ days

Q.

After reading $\frac{4}{9}th$ of a book, 30 pages are left. How many pages are there in the book?

1. 54

2. 36

3. 24

4. 60

Q.

A garrison of 900 men had provisions for 42days.However, reinforcements of 500men arrived .For how many days will the food last now?

Q.

Question 1 (b)
Find the ratio of the following:
50 m to 10 km

Q.

Question 10.
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Q.

If two ratios are in proportion, then how are they represented symbolically?

1. ?

2. &

3. %

4. ::

Q.

Question 103

Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only $\frac{1}{6}$ cup of syrup, So she decides to make a small size of breead. How much of each ingredient shall she use?
Bread Recipe
1 cup quick cooking oats 2 cup bread flour
$\frac{1}{3}$ cup sugar syrup 1 tablespoon cooking oil
$1\frac{1}{3}$ cups water 3 tablespoons yeast
1 tablespoon salt

Q.

Question 66

If x varies inversely as y and y = 60 when x = 1.5. Find x, when y = 4.5

Q.

If two ratios are equal, then we say that they are in partnership.

1. Partnership

2. Proportion

Q. What is the number in proportion with 32, 64 and 81?​

1. 192
2. 9
3. 27
4. 162

Q.

If time taken by one tap to fill the cistern is 5 hours, then the tap can fill work (1/5)^th part of the cistern in ________ hour/hours.

1. Two

2. One

3. Three

4. Four

Q. Given:

The current amount of fuel in the tank is 12 L. The capacity of fuel tank is L.

1. 24
2. 28
3. 32
4. 36

Q.

Question 73

The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.

Q. You know that to make 20 pancakes you have to use 2 eggs. How many eggs are needed to make 100 pancakes?

1. 10

Q. 10 men can finish a job in 10 days. In how many days 20 men can finish the same job?

1. 7 days
2. 8 days
3. 5 days
4. 12 days

Q. Shelly has an incomplete recipe of a dish. She knows that for every 7 cups of flour, she should add 2 cups of butter, and for every 3 cups of butter, she should add 2 cups of sugar. If the dish Shelly is cooking requires 5 cups of flour, how many cups of sugar would she need?

1. $\frac{20}{21}cups$
2. $\frac{21}{20}cups$
3. $1cup$
4. $\frac{1}{2}cups$

Q. 10 men can finish a job in 10 days. In how many days 20 men can finish the same job?

1. 7 days
2. 8 days
3. 5 days
4. 12 days

Q. The ratio of the length of a vertical pole and its shadow on ground is $8:5$. Find the length of the shadow if the length of the pole is $40m$.

Q. You need 15 lb flour (y) to make 5 lb biscuits (x).

The equation y = 3x represents the proportional relationship between flour and biscuits.

1. True
2. False

Q. The ratio of present ages of Ajay and Vijay is $4:5$. After $8$ years the ratio of their ages will be $5:6$, then find their present ages.

Q.

If 5 tailors can stitch 60 pants working 10 hours a day, then how many pants can be made when 15 tailors work for 30 hours a day? (2 marks)

Q.

The following ingredients are required to make halwa for 5 persons:

Suji/Rawa = 250 g, Sugar = 300 g

Ghee = 200 g, Water = 500 mL.

Using the concept of proportion, estimate the changes in the quantity of ingredients, to prepare halwa for 60 members. [4 MARKS]

Q. You need 15 lb flour (y) to make 5 lb biscuits (x).

The equation y = 3x represents the proportional relationship between flour and biscuits.

1. True
2. False

Q. In a hostel, the food provision for 30 persons is for 10 days.How long would the food provision last, if 5 persons vacate the hostel?

Q.

Two numbers which are indirectly proportional have their ____________ constant.

1. Sum

2. Product

3. Ratio

4. Difference