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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




2)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




3)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




4)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




5)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




6)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




7)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




8)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




9)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




10)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

days


Answer:_______________




 

1)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



2)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



3)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



4)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



5)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



6)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



7)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



8)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



9)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days

                                                               



10)  

 Three men A,B,and Ccan complete a job in 8, 12 and 16 days respectively.A and B work together for days;then B leaves and C joins. B leaves and C joins. In how many days ,can Aand C finish the work

Answer: 2days


SOLUTION 1 :

Soln:

Workdone by A in 1 day =   18

Workdone by B in 1 day = 112

Workdone by C in 1 day = 116

Workdone by A& B togethre in 1 day = 18 + 112

                                                                 = 18 + 112

                                                                 = 3+224

                                                                 = 524

 

                                                             

Workdone by A & B together in days = 524 x 3

                                                                         =   58

 Remaining work                   = 1 - 58

                                                 =     38

  B leaves C joins

Number of days taken by A & C finish the work = ( 38 )/( 18 + 116 )

                                                                                     =( 38 )/ (316)

                                                                                     =2 days