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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 - A rope makes 140 rounds of the circumference of a cylinder, the radius of whose base is 14cm . How many times can it go rounds a cylinder with radius 20 cm?
Answer : C
Explanation
Let the required number of round be x. More radius , less round (Indirect) 20: 14: :: 140 : x ⇒ 20x = (14*140 ) ⇒ x = (14 * 140/20 = 98. Required number of round = 98.
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 women can complete a piece of work in 8 days and 10 children take 12 days to complete it. How many days will 6 women and 3 children together take to complete the work?
Answer : C
Explanation
1 women can complete the work in ( 10 * 8) = 80 days. 1 child can complete the work in ( 10 * 12) = 120 days. 1 women 1 days work = 1/80, 1 child 1 days work = 1/120. ( 6women + 3 children) 1 days work = ( 6 * 1/80 + 3 * 1/120) = ( 3 /40 + 1/40 ) = 4/40=1/10. Required time 10 days.
Q 4 - A man and a boy working together can complete a work in 24 days . If for the last 6 days man alone the work , then it is completed in 26 days. How long will the boy take to complete the work alone?
Answer : A
Explanation
Let 1 men 1 days work be 1/x and 1 boy 1 days work be 1/y Then, 1/x + 1/y = 1/24 20/x + 20 / y + 6 /x )1 ⇒ 20 (1/x + 1/y) + 6/x = 1 ⇒ (20 * 24) + 6/x = 1 ⇒ 6/x = (1- 20/24) = 4 / 24 = 1/6 ⇒ 1/x = 1/ 36 ⇒ 1/y = ( 1/24 - 1/ 36 ) = 1/72. ∴ The boy along will do it in 72 days.
Q 5 - If 9 men working hours 15/2 hours a day can finish a work in 20 days , then how many days will be taken by 12 men , working 6 hours a day to finish the work . It is given that 2 men of latter type work as much as 3 men of former type?
Answer : C
Explanation
2 men of latter type = 3 men of former tyes. 12 men of latter type = (3/2 *12) = 18 men of former tyes. Let the required number of days be x. More men , less days (Indirect) Men 18 : 9 :: 20 : x Working hrs 6 : 15 /2 ∴ 18 *6 *x = 9 * 15/2 * 20 ⇒ x= 9 * 150/18 * 6 = 25/2 = 25/2 days.
Q 6 - A garrison of 3300 men had provisions for 32 days , when given at the rate of 850 gm per head . At the end of 7 days , a reinforcement arrived and it was found that the provisions would last 17 days more , when given at the rate of 825 gm per head . What was the strength of the reinforcement?
Answer : C
Explanation
Let the required strength of reinforcement be x. 3300 men had provisions for (32-7 ) = 25 days. Less food per head , more persons (Indirect) Less days , more persons (Indirect) Food per days 825 : 850 :: 3300 : (3300 x ) Days 17 : 25 ∴ 825 * 17 * (3300 + x ) = 850 * 25 * 3300 ⇒ ( 3300 + x ) = 850 * 25 * 3300/825 * 17 = 5000 ⇒ x = ( 5000 - 3300) = 1700 men.
Q 7 - If 5 spiders can catch 5 flies in 5 minutes, how many flies can 100 spiders catch in 100 minutes?
Answer : D
Explanation
Let the required number of flies be x. More spiders , more flies ( Direct) More time, more flies ( Direct) Spiders 5 : 100 :: 5 : x Times 5 : 100 ( 5* 5 * x ) = ( 10 0* 100* 5 ) ⇒ x= 100 * 100* 5 / 5 * 5 = 2000 flies.
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 18 pumps can raise 2170 tonnes of water in 10 days , working 7 hours per day , in how many days will 16 pumps rise 1736 tonnes, working 9 hours per day?
Answer : C
Explanation
Let the required number of days be x. Less pumps, more days (Indirect) Less water, less days (direct) More working hrs, less days (Indirect) Pumps 16:18 Water Qty. 2170 : 1736 :: 10 :x Water hrs 9:7 ∴ (16 * 2170 * 9 *x ) = ( 18 * 1736*7 *10)⇒ x=18 * 1736*7 *10/16*2170 * 9 = 7 days .
Q 10 - A garrison had provision for a certain number of days . After 10 days , 1/5 th of the men desert and it is found that the provision will now last just as long as before. How long was that?
Answer : D
Explanation
Initially, let x men had provisions for y days. Then, x men had provisions for (y-10) days. (x- x/5) men had provisions for y days. ∴ x ( y-10) = 4x /5 *y ⇒5xy - 50 x = 4xy ⇒ xy - 50x = 0 ⇒ x (y-50) = 0 ⇒ y = 50.
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