Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4334)


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)  

12 boxes weight 14 kg. How much will 4 such boxes weight

kg


Answer:_______________




2)  

14 boxes weight 39 kg. How much will 8 such boxes weight

kg


Answer:_______________




3)  

11 boxes weight 23 kg. How much will 5 such boxes weight

kg


Answer:_______________




4)  

15 boxes weight 34 kg. How much will 2 such boxes weight

kg


Answer:_______________




5)  

13 boxes weight 26 kg. How much will 7 such boxes weight

kg


Answer:_______________




6)  

15 boxes weight 19 kg. How much will 6 such boxes weight

kg


Answer:_______________




7)  

10 boxes weight 21 kg. How much will 2 such boxes weight

kg


Answer:_______________




8)  

10 boxes weight 18 kg. How much will 6 such boxes weight

kg


Answer:_______________




9)  

13 boxes weight 11 kg. How much will 5 such boxes weight

kg


Answer:_______________




10)  

13 boxes weight 17 kg. How much will 7 such boxes weight

kg


Answer:_______________




 

1)  

12 boxes weight 14 kg. How much will 4 such boxes weight

Answer: 5 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    12 (x)    14 
     4 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          124  =   14a

                a          =  (4 x 14)12

                             =   5612

                            =   5



2)  

14 boxes weight 39 kg. How much will 8 such boxes weight

Answer: 22 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    14 (x)    39 
     8 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          148  =   39a

                a          =  (8 x 39)14

                             =   31214

                            =   22



3)  

11 boxes weight 23 kg. How much will 5 such boxes weight

Answer: 10 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    11 (x)    23 
     5 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          115  =   23a

                a          =  (5 x 23)11

                             =   11511

                            =   10



4)  

15 boxes weight 34 kg. How much will 2 such boxes weight

Answer: 5 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    15 (x)    34 
     2 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          152  =   34a

                a          =  (2 x 34)15

                             =   6815

                            =   5



5)  

13 boxes weight 26 kg. How much will 7 such boxes weight

Answer: 14 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    26 
     7 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          137  =   26a

                a          =  (7 x 26)13

                             =   18213

                            =   14



6)  

15 boxes weight 19 kg. How much will 6 such boxes weight

Answer: 8 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    15 (x)    19 
     6 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          156  =   19a

                a          =  (6 x 19)15

                             =   11415

                            =   8



7)  

10 boxes weight 21 kg. How much will 2 such boxes weight

Answer: 4 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    10 (x)    21 
     2 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          102  =   21a

                a          =  (2 x 21)10

                             =   4210

                            =   4



8)  

10 boxes weight 18 kg. How much will 6 such boxes weight

Answer: 11 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    10 (x)    18 
     6 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          106  =   18a

                a          =  (6 x 18)10

                             =   10810

                            =   11



9)  

13 boxes weight 11 kg. How much will 5 such boxes weight

Answer: 4 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    11 
     5 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          135  =   11a

                a          =  (5 x 11)13

                             =   5513

                            =   4



10)  

13 boxes weight 17 kg. How much will 7 such boxes weight

Answer: 9 kg


SOLUTION 1 :

Given :

No of boxesWeight of boxes
    13 (x)    17 
     7 (y)     (a)

As the No of  boxes decreases, the Weight of the  boxes also decreases.

It is in direct variation.

 So, xy  =  Constant

          137  =   17a

                a          =  (7 x 17)13

                             =   11913

                            =   9