Scroll:Life mathematics >> profit and loss >> saq (4295)


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)  

 If 15 men can built a wall 100 meters  long in 7 days, what length of a similar wall can be built by 19 men in 4 days.

meters


Answer:_______________




2)  

 If 10 men can built a wall 114 meters  long in 8 days, what length of a similar wall can be built by 19 men in 3 days.

meters


Answer:_______________




3)  

 If 11 men can built a wall 100 meters  long in 7 days, what length of a similar wall can be built by 19 men in 3 days.

meters


Answer:_______________




4)  

 If 10 men can built a wall 106 meters  long in 9 days, what length of a similar wall can be built by 18 men in 2 days.

meters


Answer:_______________




5)  

 If 14 men can built a wall 104 meters  long in 8 days, what length of a similar wall can be built by 18 men in 4 days.

meters


Answer:_______________




6)  

 If 13 men can built a wall 112 meters  long in 5 days, what length of a similar wall can be built by 17 men in 2 days.

meters


Answer:_______________




7)  

 If 15 men can built a wall 105 meters  long in 6 days, what length of a similar wall can be built by 18 men in 3 days.

meters


Answer:_______________




8)  

 If 14 men can built a wall 103 meters  long in 7 days, what length of a similar wall can be built by 18 men in 3 days.

meters


Answer:_______________




9)  

 If 10 men can built a wall 100 meters  long in 8 days, what length of a similar wall can be built by 16 men in 3 days.

meters


Answer:_______________




10)  

 If 10 men can built a wall 114 meters  long in 6 days, what length of a similar wall can be built by 18 men in 3 days.

meters


Answer:_______________




 

1)  

 If 15 men can built a wall 100 meters  long in 7 days, what length of a similar wall can be built by 19 men in 4 days.

Answer: 72 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    15    7        100
    19     4       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 15 to 19, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1915

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 7 to 4, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   47

                                       x     =   1915 x 47 x 100

                                              =  1.26666666667 x 0.571428571429 x 100

                                              = 72 meters



2)  

 If 10 men can built a wall 114 meters  long in 8 days, what length of a similar wall can be built by 19 men in 3 days.

Answer: 81 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    10    8        114
    19     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 10 to 19, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1910

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 8 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   38

                                       x     =   1910 x 38 x 114

                                              =  1.9 x 0.375 x 114

                                              = 81 meters



3)  

 If 11 men can built a wall 100 meters  long in 7 days, what length of a similar wall can be built by 19 men in 3 days.

Answer: 74 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    11    7        100
    19     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 11 to 19, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1911

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 7 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   37

                                       x     =   1911 x 37 x 100

                                              =  1.72727272727 x 0.428571428571 x 100

                                              = 74 meters



4)  

 If 10 men can built a wall 106 meters  long in 9 days, what length of a similar wall can be built by 18 men in 2 days.

Answer: 42 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    10    9        106
    18     2       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 10 to 18, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1810

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 9 to 2, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   29

                                       x     =   1810 x 29 x 106

                                              =  1.8 x 0.222222222222 x 106

                                              = 42 meters



5)  

 If 14 men can built a wall 104 meters  long in 8 days, what length of a similar wall can be built by 18 men in 4 days.

Answer: 67 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    14    8        104
    18     4       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 14 to 18, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1814

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 8 to 4, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   48

                                       x     =   1814 x 48 x 104

                                              =  1.28571428571 x 0.5 x 104

                                              = 67 meters



6)  

 If 13 men can built a wall 112 meters  long in 5 days, what length of a similar wall can be built by 17 men in 2 days.

Answer: 59 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    13    5        112
    17     2       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 13 to 17, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1713

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 5 to 2, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   25

                                       x     =   1713 x 25 x 112

                                              =  1.30769230769 x 0.4 x 112

                                              = 59 meters



7)  

 If 15 men can built a wall 105 meters  long in 6 days, what length of a similar wall can be built by 18 men in 3 days.

Answer: 63 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    15    6        105
    18     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 15 to 18, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1815

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 6 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   36

                                       x     =   1815 x 36 x 105

                                              =  1.2 x 0.5 x 105

                                              = 63 meters



8)  

 If 14 men can built a wall 103 meters  long in 7 days, what length of a similar wall can be built by 18 men in 3 days.

Answer: 57 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    14    7        103
    18     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 14 to 18, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1814

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 7 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   37

                                       x     =   1814 x 37 x 103

                                              =  1.28571428571 x 0.428571428571 x 103

                                              = 57 meters



9)  

 If 10 men can built a wall 100 meters  long in 8 days, what length of a similar wall can be built by 16 men in 3 days.

Answer: 60 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    10    8        100
    16     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 10 to 16, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1610

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 8 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   38

                                       x     =   1610 x 38 x 100

                                              =  1.6 x 0.375 x 100

                                              = 60 meters



10)  

 If 10 men can built a wall 114 meters  long in 6 days, what length of a similar wall can be built by 18 men in 3 days.

Answer: 103 meters


SOLUTION 1 :

Soln  :

Number of MenNumber of daysLength of the wall in (m)
    10    6        114
    18     3       

Step :1

        Consider the No of men & Length of the wall. As the No of men increases from 10 to 18, the length of the wall also increases.

         It is in direct variation.

          The multiplying factor  = 1810

Step :2

       Consider the No of days & the length of the wall. As the No of days decreases from 6 to 3, length of the wall also decreases.

       It is in direct variation.

       The multiplying factor    =   36

                                       x     =   1810 x 36 x 114

                                              =  1.8 x 0.5 x 114

                                              = 103 meters