Direct Proportions

Q.

The length of the side of a square is in direct proportion to:

1. Perimeter of the square

2. Area of the square

3. Both of these

4. None of these

Q.

A bottle of medicine contains $200ml$ of medicine$.$ How many bottles will be required to fill $65$ $litres$ of medicine$?$

Q.

What number should be divided by $\frac{1}{2}$ to obtain the greatest negative integer?

Q.

An army camp of 250 men has provision for 350 days. After 25 days, 50 men died due to an epidemic. The food will last for

___ additional days.

Q.

The length of a side of the square is in direct proportion to:

1. Perimeter of the square

2. Area of the square

3. Both of these

4. None of these

Q.

A soap factory produces $6,955$ soaps cakes per day. How many cakes did the factory produce in$2005$, if there were$81$ holidays in the year ?

Q.

In the equation $y=x+3,y$ is directly proportional to $x$.

1. Inverse proportion

2. Direct proportion

Q.

1) a plane can carry 8.5 tonnes of cargo. each container weighs 1.75 tonnes how many containers can the plan carry safetly

Q.

Question 86

A recipe for raspberry jelly calls for 5 cups of raspberry juice and $2\frac{1}{2}$ cups of sugar. Find the amount of sugar needed for 6 cups of the juice.

Q.

The Bacteria enlarge over a period of time. It enlarged 60000 times and attained a length of 3 cm. What would its length be if it had enlarged only 10000 times?

1. 1 cm

2. 0.5 cm

3. 2 cm

4. 0.6 cm

Q.

Solve the following problems:

10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?

Q.

How long will it take to drive 450 miles if you are driving at a speed of 50 miles per hour?

1. 9 Hours

2. 3.5 Hours

3. 6 Hours

4. 12.5 Hours

Q. If 9 pens cost ₹72, a dozen of them will cost _________.

1. 86
2. 90
3. 96
4. 100

Q.

Consider the equation x(y + 1) = x + 3 . Hence x is directly proportional to y.

1. True

2. False

Q.

A box contains $25$ strips having $12$ capsules of $500mg$medicine in each capsule. Find the total weight in grams of medicine in $30$ such boxes.

Q.

A car requires 25 liters of petrol to cover a distance of 225 km .Find the amount of petrol required to cover a distance of 540 km .

1. 60 liters

2. 45 liters

3. 850 liters

4. 4850 liters

Q. If 8 apples costs ₹80, then 25 apples will cost ₹.

1. 200
2. 250
3. 300

Q. One tin holds $12\frac{3}{4}$ litres of oil. How many litres of oil can 26 such tins hold?

Q.

5 metres of cloth costs ₹ 210. Find the cost of 4 metres of the cloth.

1. ₹ 168

2. ₹ 184

3. ₹ 156

4. ₹ 199

Q. The weight of 80 identical jars is 400 kg. What is the weight of 10 such jars?

1. 5 kg
2. 50 kg
3. 100 kg
4. 20 kg

Q.

If two people are standing together at one place and the same time with the ratio of their heights as 3:2, then the lengths of their shadows will have the same ratio.

1. False

2. True

Q.

A pack of 2 kg of sugar contains $8\times {10}^6$ crystals and a sack contains 3 packs of sugar. How many crystals would 12 sacks contain?

1. 2×

2. 2.88×

3. 3×

4. 3.88×

Q. nt. At a certain time of the day a tree casts its shadow 12.5 feet long. If the height of the tree is 5 feet, find the height of another tree that casts its shadow 20 feet long at the same time.n

Q. A bucket contains $20\frac{1}{4}$ litres of water. A small jug has a capacity of $\frac{3}{4}$ litre. How many times the jug has to be filled with water from the bucket to get it emptied?

Q. A tin holds 16.5 litres of oil. How many such tins will be required to hold 478.5 litres of oil?

Q.

One day Rashi travelled 6 km whereas Soham travelled only 5000m. What will be the ratio of their distances travelled?
[2 MARKS]

Q.

$$\begin{array}{ccccc}X& 2& 4& 5& 50\\ Y& 4& 8& 10& 100\end{array}$$

If $x$ and $y$ are directly proportional, find the value of constant of proportionality.

1. $\frac{1}{2}$

2. $\frac{3}{4}$

3. $\frac{4}{3}$

4. $\frac{5}{2}$

Q.

The cost of 6 balls is ₹48, then the cost of 4 balls is ____.

1. ₹30

2. ₹40

3. ₹32

4. ₹36

Q.

$$\begin{array}{cccccc}Quantity\left(InKg\right)/Price& 1& 2& 3& 4& 5\\ Gummybear& 20& 40& 60& 80& 100\\ Candies& 30& 60& 90& 120& 150\\ Chocolates& 50& 100& 150& 200& 250\end{array}$$

According to the information given, what is the total price of 6 kg of all the items?

1. 550

2. 600

3. 500

4. 650

Q. If 69 buckets of equal capacity can be filled with 586.5 litres of water, what is the capacity of eacch bucket?