Indirect Proportions

Q.

Meenakshi cycles to her school at an average speed of 12 km/hr and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be:

1. 15 km/hr

2. 16 km/hr

3. $\frac{20}{3}$ km/hr

4. 20 km/hr

Q. When price of a commodity $X$ falls by $10$ per cent, its demand rises from $150$ units to $180$ units. Calculate its price elasticity of demand. How much should be the percentage fall in its price so that its demand rises from $150$ to $210$ units?

Q.

Check whether $2,3,8,12$ are proportional or not:

Q. A hostel has ration for 50 days for 80 students. A certain number of students joined the hostel and the ration lasted for only 40 days. How many students joined the hostel?

1. 20
2. 50
3. 25
4. 10

Q.

Check whether $4,7,20,35$ are proportional or not:

Q.

39 men can build a bridge in 12 days, working 5 hours a day. In how many days will 30 men, working 6 hours a day, complete the work?

1. 13

2. 14

3. 15

4. 10

Q. If the length and the breadth of 3 rectangles are:

	Length	Breadth
1	8 cm	3 cm
2	6 cm	4 cm
3	48 cm	0.5 cm

Then how are the dimensions of these rectangles related?

1. Directly Proportion
2. Inverse Proportion
3. Compound Proportion
4. Not in proportion

Q.

The speeds of three cars are in the ratio 2: 3: 4. The ratio between the times taken by these cars to travel the same distance is ___________.

1. 6: 4: 3

2. 2: 4: 3

3. 2: 4: 6

4. 2: 5: 6

Q.

39 men can build a bridge in 12 days, working 5 hours a day. In how many days will 30 men, working 6 hours a day, complete the work?

1. 13

2. 14

3. 15

4. 10

Q. The provisions available in the godown can feed 800 children for 60 days. If 400 more children arrive, how long will the stock last?

1. 30 days
2. 40 days
3. 20 days
4. 10 days

Q. 25 men can complete a task in 4 days. How many days does it take for 50 men to complete the same task?

1. 4
2. 6
3. 5
4. 3

Q.

A farmer has enough food to feed 20 cattle for 6 days. The number of days food will last if there were 10 more cattle is

___

Q.

A fort had provisions for 150 men for 50 days. After 15 days, 25 men left the fort. How long will food last at the same rate for remaining men?

1. 40 days

2. 42 days

3. 44 days

4. 24 days

Q.

Find the value $x$ from the given table :
$$\begin{array}{ccccccccc}X& 100& 250& 200& 50& 125& 1000& 4& 40\\ Y& 20& 8& 10& 40& x& 2& 500& 50\end{array}$$

1. 14
2. 12
3. 16
4. 20

Q.

If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of children is reduced by 4?

1. 5

2. 6

3. 7

4. 9

Q. In a certain school 4% students like circket, 76% students like football and 82% like tennis. Then all the three sports are liked by at least

1. 36%
2. 68%
3. 32%
4. 77%

Q.

A gardener uses pipes to water his garden from the tank. For his entire garden he uses 6 pipes to water and it takes him 1 hour 20 minutes to completely empty the tank. Now if he uses only 5 pipes to water his garden, how long it will take him to empty the tank?

1. 1 hour 45 mins

2. 1 hour 55 mins

3. 1 hour 30 mins

4. 1 hour 36 mins

Q.

In a college there are 10 periods per day each of 40 minutes. The students were protesting to reduce the number of periods but the Principal did not want to reduce the working hours. What should be the working hours of each period if Principal reduces the number of periods to 8?

1. 30 minutes

2. 55 minutes

3. 50 minutes

4. 45 minutes