# Chain Rules - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Chain Rules**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - If 4/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?

### Answer : B

### Explanation

Let the required time be x seconds. Part filled = 4/5, Remaining part = (1- 4/5 ) = 1/5. Less part to be filled , less is the time taken (direct) 4/5 :1/5 :: 60 : x ⇒ 4/5 * x = (1/5 * 60 ) = 12 ⇒ x= (12 * 5/4 ) = 15. Required time = 15 seconds.

Q 2 - 3 men or 5 women can finish a piece of work in 12 days. How long will 6 men and 5 women take to finish the work?

### Answer : A

### Explanation

3 men = 5 women ⇒ 6 men =10 women ⇒ (6 men +5 women )= 15 women. Let the required number of days be x. More women , less days (Indirect) 15 : 5 :: 12 : x ⇒ 15x = (5* 12 ) ⇒ x= (5*12)/15 = 4 days

Q 3 - 10 pipes of the same diameter can fill a tank in 24 minutes. If 2 pipes go out of order, how long will the remaining pipes takes to fill the tank?

### Answer : C

### Explanation

Let the required time be x minutes. Less pipes, more time (Indirect) 8: 10 ::24 : x ⇒ 8x = (10 * 24 ) ⇒ x= (10 * 24) /8 = 30min.

Q 4 - 8 men can finish a piece of work in 40 days . If 2 more men join with them , then the work will be completed in?

### Answer : B

### Explanation

Let 10 men finish it in x days. More men, less days (Indirect) 10 : 8 :: 40 : x ⇒ 10x = (8 * 40 ) ⇒ x = (8*40) /10 = 32 days.

Q 5 - Two persons can complete a piece of work in 9 days. How many more persons are needed to complete double the work in 12 days?

### Answer : A

### Explanation

Let the required number of persons be x . More work, more persons (direct) More days , less persons (Indirect) Work 1:2 :: 2 : (2+x) Days 12:9 1*12 * ( 2 + x ) = (2 * 9 *2 ) ⇒ ( 2 + x ) = 36/12 = 3 ⇒ x=1.

Q 6 - A garrison of 500 men had provisions for 27 days. After 3 days ,a reinforcement of 300 men arrived. The remaining food will now last for how many days

### Answer : A

### Explanation

500 men had provisions for (27-3) = 24 days . Let the food for 800 men last for x days. More men , less days (Indirect) 800: 500 :: 24 : x ⇒ 800x = (500 * 24 ) ⇒ x = (500 * 24)/800 = 15 days.

Q 7 - If 6 persons working 8 hours a day earn Rs 16800 per week , then 9 persons working 6 hours a day will earn per week?

### Answer : B

### Explanation

Let the required earning be Rs x. More persons , more earning ( Direct) Less hrs per day, less earning ( Direct) Persons 6:9 :: 16800 : x Hrs / day 8 : 6 (6 * 8 *x ) = ( 9 * 6 * 16800) = X =9 * 6 * 16800/ 6 *8 = 18900.

Q 8 - If 42 persons consume 144kg of rice in 15 days , then in how many days will 30 persons consume 48kg of rice?

### Answer : D

### Explanation

Let the required number of days be x. More persons, more days (Direct) Less rice, less days (Indirect) Persons 30 : 42 :: 15 : x Quantity 144 : 48 ∴ ( 30 * 144 * x ) = ( 42 * 48 *15 ) ⇒ x = 42 * 48 * 15/ 30 * 144 = 7 days

Q 9 - If 5 engines consume 6 metric tonnes of coal when each is running 9 hour per day, how much coal will be needed for 8 engines , each running 10 hours a days , it being give that 3 engines of former type consume as much as 4 engines of latter type?

### Answer : A

### Explanation

Let the quantity of coal required be x metric tonnes. More engine, more coal (Direct) More hrs/days, more coal (Direct) More rate of consumption, more coal (Direct) Engine 5:8 Hrs/days 9:10 :: 6 : x Rate of consumption 1/3 : 1/4 ∴ (5*9*1/3*x) = (8*10 *1/4 *6)⇒ x= 120/15 = 8 metric tonnes.

Q 10 - 20 men complete one third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?

### Answer : B

### Explanation

Work done = 1/3, Remaining work = (1- 1/3 ) = 2/3 Let the number of additional men be x. More work, more men (Direct) More days , less men (Indirect) Work 1/3 : 2 /3 :: 20 : (20 +x) Days 25:20 1/3 * 25 * ( 20 + x) = 2 /3 * 20 *20 ⇒ (20 +x) = 32 ⇒ x=12. Required number of days = 12.