Relation for Inverse Proportion

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. 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. 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.

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. 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.

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.

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.

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 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