Relation for Inverse Proportion

Q.

If 9 men can do a piece of work in 16 days, then how many men would do it in 24 days.

1. 5

2. 6

3. 7

4. 8

Q.

The cost of dozen eggs is $₹60$. Find the cost of $4$ eggs.

Q. Two taps A and B can fill a tank in 25 min and 40 min, respectively. Both the taps are opened together but after 10 min, tap A is turned off. What is the total time required to fill the tank?

1. 22 min
2. 24 min
3. 18 min
4. 14 min

Q.

6 pipes can fill a tank in 4 hours. How many more pipes are required to fill the same tank in 1 hour?

1. 24

2. 12

3. 18

4. 20

Q. $6$ pumps are required to fill a tank in $1$ hour $20$ minutes. How long will it take if only $5$ pumps of the same type are used?

Q.

Two quantities x and y are said to vary in inverse proportion, if there exists a relation of the type xy = k between them, k being a constant.

1. True

2. False

Q. If 45 students can consume a stock of food in 2 months, then for how many days the same stock of food will last for 27 students?

1. 100 days
2. 144 days
3. 160 days
4. 180 days

Q.

On increasing$a,b$ increases in such a manner that$\frac{a}{b}$ remains ______ and positive, then$\text{a and b}$ are said to vary directly with each other

Q.

If 32 men can reap a field in 15 days, then in how many days can 20 men reap the same filed ?

1. 21 days

2. 22 days

3. 24 days

4. None of these

Q. It takes 80 minutes for 6 pipes to fill a tank. How long does it take to fill if only 5 pipes are used?

1. 60 minutes
2. 96 minutes
3. 108 minutes
4. 84 minutes

Q. A water tank with a capacity of 500 gallons of water is filled up to two-fifth of the tank. There were two pipes, A and B, to fill the tank. Pipe A can fill the tank in 10 minutes, whereas pipe B can fill it in 6 minutes.

If Macey opens both the pipes to fill the tank, then how long will it take to fill the tank completely?

1. $\frac{15}{4}\text{minutes}$
2. $\frac{15}{2}\text{minutes}$
3. $\frac{13}{4}\text{minutes}$
4. $\frac{11}{4}\text{minutes}$

Q.

Ram has to reach office in 2 hours. He travels 2 hours at a speed of 80 kmph to reach office on time. Now, he is already late by 1 hour 5 minutes. Calculate the speed with which he has to travel, to reach office on time.

1. 140kmph

2. 120kmph

3. 150kmph

4. 175 kmph

Q.

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

1. 9 Hours

2. 3.5 Hours

3. 6 Hours

4. 12.5 Hours

Q.

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The total time taken for the work to be completed was

1. 12 days

2. 10 days

3. 8 days

4. 15 days

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. 44 days
2. 42 days
3. 40 days
   
4. 24 days
   

Q.

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

___ days.

Q. Harsha thought of a number. She added $13$ to the number then multiplied the result by $4$ .
b)Use inverse functions to work out the number Harsha thought of. Show all your working: ?

Q. Two positive numbers x and y are inversely proportional. If x increases by 20%, then percentage decrease in y is

1. 20
2. $16\frac{2}{3}$
3. 5
4. $1\frac{9}{11}$

Q. Rewrite the expression 10(12 + 15) using the distributive property formula and solve it.

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. $1200$ men can finish the stock of food in $35$ days. How many more men should join them so that the same stock of food may last $25$ days?

1. $120$
2. $240$
3. $360$
4. $480$