Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4328)


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 the cost of 16 pencil is   52, Find th cost of 6 pencils

 


Answer:_______________




2)  

 If the cost of 13 pencil is   47, Find th cost of 6 pencils

 


Answer:_______________




3)  

 If the cost of 16 pencil is   52, Find th cost of 7 pencils

 


Answer:_______________




4)  

 If the cost of 16 pencil is   49, Find th cost of 6 pencils

 


Answer:_______________




5)  

 If the cost of 12 pencil is   50, Find th cost of 3 pencils

 


Answer:_______________




6)  

 If the cost of 10 pencil is   60, Find th cost of 6 pencils

 


Answer:_______________




7)  

 If the cost of 15 pencil is   55, Find th cost of 5 pencils

 


Answer:_______________




8)  

 If the cost of 11 pencil is   54, Find th cost of 2 pencils

 


Answer:_______________




9)  

 If the cost of 13 pencil is   44, Find th cost of 4 pencils

 


Answer:_______________




10)  

 If the cost of 11 pencil is   43, Find th cost of 8 pencils

 


Answer:_______________




 

1)  

 If the cost of 16 pencil is   52, Find th cost of 6 pencils

  Answer: 19.50


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   16   (x)    52
   6    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        16/ 6 = 52a

                a       = (6x52) / 16

                         = 31216

                         =19.50

Cost of 6 pencils =  19.50  



2)  

 If the cost of 13 pencil is   47, Find th cost of 6 pencils

  Answer: 21.69


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   13   (x)    47
   6    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        13/ 6 = 47a

                a       = (6x47) / 13

                         = 28213

                         =21.69

Cost of 6 pencils =  21.69  



3)  

 If the cost of 16 pencil is   52, Find th cost of 7 pencils

  Answer: 22.75


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   16   (x)    52
   7    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        16/ 7 = 52a

                a       = (7x52) / 16

                         = 36416

                         =22.75

Cost of 7 pencils =  22.75  



4)  

 If the cost of 16 pencil is   49, Find th cost of 6 pencils

  Answer: 18.38


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   16   (x)    49
   6    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        16/ 6 = 49a

                a       = (6x49) / 16

                         = 29416

                         =18.38

Cost of 6 pencils =  18.38  



5)  

 If the cost of 12 pencil is   50, Find th cost of 3 pencils

  Answer: 12.50


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   12   (x)    50
   3    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        12/ 3 = 50a

                a       = (3x50) / 12

                         = 15012

                         =12.50

Cost of 3 pencils =  12.50  



6)  

 If the cost of 10 pencil is   60, Find th cost of 6 pencils

  Answer: 36.00


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   10   (x)    60
   6    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        10/ 6 = 60a

                a       = (6x60) / 10

                         = 36010

                         =36.00

Cost of 6 pencils =  36.00  



7)  

 If the cost of 15 pencil is   55, Find th cost of 5 pencils

  Answer: 18.33


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   15   (x)    55
   5    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        15/ 5 = 55a

                a       = (5x55) / 15

                         = 27515

                         =18.33

Cost of 5 pencils =  18.33  



8)  

 If the cost of 11 pencil is   54, Find th cost of 2 pencils

  Answer: 9.82


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   11   (x)    54
   2    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        11/ 2 = 54a

                a       = (2x54) / 11

                         = 10811

                         =9.82

Cost of 2 pencils =  9.82  



9)  

 If the cost of 13 pencil is   44, Find th cost of 4 pencils

  Answer: 13.54


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   13   (x)    44
   4    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        13/ 4 = 44a

                a       = (4x44) / 13

                         = 17613

                         =13.54

Cost of 4 pencils =  13.54  



10)  

 If the cost of 11 pencil is   43, Find th cost of 8 pencils

  Answer: 31.27


SOLUTION 1 :

Given  :

    

No of pencilsCost   ()
   11   (x)    43
   8    (y)     (a)

As the No of pencils decreases , the cost also decreases.

Hence the two quatities ari in direct variation.

So,     xy   =   Constant

        11/ 8 = 43a

                a       = (8x43) / 11

                         = 34411

                         =31.27

Cost of 8 pencils =  31.27