Chain Rules - Online Quiz


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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.

Questions and Answers

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?

A - 20 seconds

B - 15 seconds

C - 12 seconds

D - 10 seconds

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?

A - 4 days

B - 10 days

C - 15 days

D - 20 days

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?

A - 40 min

B - 45 min

C - 30 min

D - 96/5 min

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?

A - 30 days

B - 32 days

C - 36 days

D - 25 days

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?

A - 1

B - 2

C - 3

D - 4

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

A - 15

B - 16

C - 17

D - 18

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?

A - Rs 17800

B - Rs 18900

C - Rs 19200

D - Rs 26800

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?

A - 4

B - 5

C - 6

D - 7

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?

A - 8 metric tonnes

B - 80/3 metric tonnes

C - 25/8 metric tonnes

D - 150/25 metric tones

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?

A - 10

B - 12

C - 15

D - 20

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.


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